This listing provides a snapshot of immediately available courses and may not be complete. Course registration information can be found on the Student Information Services (SIS) website. To see a complete list of courses offered and their descriptions, visit the online course catalog. Click on the course number for link to course website.

The courses overview can be found on the major requirements page. The math department also offers additional tools for course selection:

Important: sections with section number 88 are not open for enrollment by AS/EN Homewood undergraduates.

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Calculus I (Biology and Social Sciences) AS.110.106 (01)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Days/Times: MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Instructor: Lu, Fei

Room: Remsen Hall 101

Status: Open

Seats Available: 1/24

PosTag(s): ROBO-CMMA

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Calculus I (Biology and Social Sciences) AS.110.106 (02)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Instructor: Lu, Fei

Room: Remsen Hall 101

Status: Open

Seats Available: 1/24

PosTag(s): ROBO-CMMA

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Calculus I (Biology and Social Sciences) AS.110.106 (03)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Calculus II (For Biological and Social Science) AS.110.107 (01)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Instructor: Pezzi, Daniel Joseph

Room: Krieger 205

Status: Open

Seats Available: 1/24

PosTag(s): ROBO-CMMA

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Calculus II (For Biological and Social Science) AS.110.107 (02)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Instructor: Pezzi, Daniel Joseph

Room: Krieger 205

Status: Open

Seats Available: 1/24

PosTag(s): ROBO-CMMA

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Calculus II (For Biological and Social Science) AS.110.107 (03)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Instructor: Pezzi, Daniel Joseph

Room: Krieger 205

Status: Open

Seats Available: 9/24

PosTag(s): ROBO-CMMA

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Calculus II (For Biological and Social Science) AS.110.107 (04)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Calculus II (For Biological and Social Science) AS.110.107 (05)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Calculus II (For Biological and Social Science) AS.110.107 (06)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Calculus II (For Biological and Social Science) AS.110.107 (07)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 11:00AM - 11:50AM, T 3:00PM - 3:50PM

Instructor: Sun, Yuchin

Room: Remsen Hall 101

Status: Open

Seats Available: 3/24

PosTag(s): ROBO-CMMA

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Calculus II (For Biological and Social Science) AS.110.107 (09)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Instructor: Sun, Yuchin

Room: Remsen Hall 101

Status: Open

Seats Available: 13/24

PosTag(s): ROBO-CMMA

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Calculus II (For Biological and Social Science) AS.110.107 (10)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Instructor: Sun, Yuchin

Room: Remsen Hall 101

Status: Open

Seats Available: 13/24

PosTag(s): ROBO-CMMA

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Calculus II (For Biological and Social Science) AS.110.107 (11)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Calculus II (For Biological and Social Science) AS.110.107 (12)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Calculus II (For Physical Sciences and Engineering) AS.110.109 (01)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 10:00AM - 10:50AM, T 1:30PM - 2:20PM

Instructor: Sakellaridis, Yiannis

Room: Shaffer 3

Status: Open

Seats Available: 2/24

PosTag(s): ROBO-CMMA

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Calculus II (For Physical Sciences and Engineering) AS.110.109 (02)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Instructor: Sakellaridis, Yiannis

Room: Shaffer 3

Status: Open

Seats Available: 4/24

PosTag(s): ROBO-CMMA

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Calculus II (For Physical Sciences and Engineering) AS.110.109 (03)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Instructor: Sakellaridis, Yiannis

Room: Shaffer 3

Status: Waitlist Only

Seats Available: 0/24

PosTag(s): ROBO-CMMA

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Calculus II (For Physical Sciences and Engineering) AS.110.109 (04)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Instructor: Sakellaridis, Yiannis

Room: Shaffer 3

Status: Waitlist Only

Seats Available: 0/24

PosTag(s): ROBO-CMMA

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Calculus II (For Physical Sciences and Engineering) AS.110.109 (05)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Calculus II (For Physical Sciences and Engineering) AS.110.109 (06)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Calculus II (For Physical Sciences and Engineering) AS.110.109 (07)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Calculus II (For Physical Sciences and Engineering) AS.110.109 (08)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Days/Times: MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Instructor: Li, Huajie

Room: Hodson 210

Status: Open

Seats Available: 13/24

PosTag(s): ROBO-CMMA

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Linear Algebra AS.110.201 (02)

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Days/Times: MWF 10:00AM - 10:50AM, T 1:30PM - 2:20PM

Instructor: Li, Huajie

Room: Hodson 210

Status: Open

Seats Available: 3/24

PosTag(s): ROBO-CMMA

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Linear Algebra AS.110.201 (03)

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Days/Times: MWF 11:00AM - 11:50AM, T 1:30PM - 2:20PM

Instructor: Cutrone, Joseph W

Room: Shaffer 301

Status: Open

Seats Available: 2/24

PosTag(s): ROBO-CMMA

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Linear Algebra AS.110.201 (06)

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Instructor: Cutrone, Joseph W

Room: Shaffer 301

Status: Open

Seats Available: 1/24

PosTag(s): ROBO-CMMA

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Linear Algebra AS.110.201 (07)

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 11:00AM - 11:50AM, T 3:00PM - 3:50PM

Instructor: Bernstein, Jacob

Room: Krieger 205

Status: Open

Seats Available: 3/24

PosTag(s): ROBO-CMMA

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Calculus III AS.110.202 (02)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Instructor: Bernstein, Jacob

Room: Krieger 205

Status: Open

Seats Available: 3/24

PosTag(s): ROBO-CMMA

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Calculus III AS.110.202 (03)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Instructor: Bernstein, Jacob

Room: Krieger 205

Status: Open

Seats Available: 10/24

PosTag(s): ROBO-CMMA

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Calculus III AS.110.202 (04)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 12:00PM - 12:50PM, T 3:00PM - 3:50PM

Instructor: Bernstein, Jacob

Room: Krieger 205

Status: Open

Seats Available: 2/24

PosTag(s): ROBO-CMMA

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Calculus III AS.110.202 (07)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM

Instructor: Bernstein, Jacob

Room: Krieger 205

Status: Open

Seats Available: 5/24

PosTag(s): ROBO-CMMA

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Calculus III AS.110.202 (08)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

This course includes the material in AS.110.202 with some additional applications and theory. Recommended for mathematically able students majoring in physical science, engineering, or especially mathematics. AS.110.211-AS.110.212 used to be an integrated yearlong course, but now the two are independent courses and can be taken in either order.

Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Instructor: Shumakovitch, Alexander N

Room: Maryland 202

Status: Open

Seats Available: 9/20

PosTag(s): ROBO-CMMA

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Honors Linear Algebra AS.110.212 (01)

This course includes the material in AS.110.201 with additional applications and theory, and is recommended only for mathematically able students majoring in physical science, engineering, or mathematics who are interested in a proof-based version of linear algebra. This course can serve as an Introduction to Proofs (IP) course.
Prerequisites: Grade of B+ or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Instructor: Dalal, Rahul

Room: Shriver Hall 001

Status: Open

Seats Available: 4/18

PosTag(s): ROBO-CMMA

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Introduction to Proofs AS.110.301 (01)

This course will provide a practical introduction to mathematical proofs with the aim of developing fluency in the language of mathematics, which itself is often described as “the language of the universe.” Along with a library of proof techniques, we shall tour propositional logic, set theory, cardinal arithmetic, and metric topology and explore “proof relevant” mathematics by interacting with a computer proof assistant. This course on the construction of mathematical proof will conclude with a deconstruction of mathematical proof, interrogating the extent to which proof serves as a means to discover universal truths and assessing the mechanisms by which the mathematical community achieves consensus regarding whether a claimed result has been proven.

Days/Times: MW 3:00PM - 4:15PM, F 3:00PM - 3:50PM

Instructor: Hazratpour, Sina

Room:

Status: Open

Seats Available: 19/20

PosTag(s): n/a

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Differential Equations and Applications AS.110.302 (01)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Days/Times: MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM

Instructor: Restrepo Montoya, Daniel Eduardo

Room: Olin 305

Status: Open

Seats Available: 2/24

PosTag(s): n/a

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Differential Equations and Applications AS.110.302 (02)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Differential Equations and Applications AS.110.302 (03)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Differential Equations and Applications AS.110.302 (04)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Differential Equations and Applications AS.110.302 (05)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Days/Times: MWF 1:30PM - 2:20PM, T 3:00PM - 3:50PM

Instructor: Restrepo Montoya, Daniel Eduardo

Room: Shaffer 300

Status: Open

Seats Available: 5/24

PosTag(s): n/a

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Differential Equations and Applications AS.110.302 (06)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Days/Times: MWF 1:30PM - 2:20PM, T 4:30PM - 5:20PM

Instructor: Restrepo Montoya, Daniel Eduardo

Room: Shaffer 300

Status: Open

Seats Available: 3/24

PosTag(s): n/a

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The Mathematics of Politics, Democracy, and Social Choice AS.110.303 (88)

This course is designed for students of all backgrounds to provide a mathematical introduction to
social choice theory, weighted voting systems, apportionment methods, and gerrymandering. In
the search for ideal ways to make certain kinds of political decisions, a lot of wasted effort could
be averted if mathematics could determine that finding such an ideal were actually possible in the
first place. The course will analyze data from recent US elections as well as provide historical
context to modern discussions in politics, culminating in a mathematical analysis of the US
Electoral College. Case studies, future implications, and comparisons to other governing bodies
outside the US will be used to apply the theory of the course. Students will use Microsoft Excel to
analyze data sets. There are no mathematical prerequisites for this course.

Days/Times:

Instructor: Ratigan, Christopher J

Room:

Status: Open

Seats Available: 5/25

PosTag(s): n/a

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Elementary Number Theory AS.110.304 (01)

The student is provided with many historical examples of topics, each of which serves as an illustration of and provides a background for many years of current research in number theory. Primes and prime factorization, congruences, Euler's function, quadratic reciprocity, primitive roots, solutions to polynomial congruences (Chevalley's theorem), Diophantine equations including the Pythagorean and Pell equations, Gaussian integers, Dirichlet's theorem on primes.

Days/Times: TTh 9:00AM - 10:15AM, F 9:00AM - 9:50AM

Instructor: Kitchloo, Nitya

Room: Bloomberg 276

Status: Open

Seats Available: 9/20

PosTag(s): n/a

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Methods of Complex Analysis AS.110.311 (01)

This course is an introduction to the theory of functions of one complex variable. Its emphasis is on techniques and applications, and it serves as a basis for more advanced courses. Functions of a complex variable and their derivatives; power series and Laurent expansions; Cauchy integral theorem and formula; calculus of residues and contour integrals; harmonic functions.

Days/Times: TTh 12:00PM - 1:15PM, F 12:00PM - 12:50PM

Instructor: Mese, CHIKAKO

Room: Maryland 104

Status: Open

Seats Available: 11/25

PosTag(s): n/a

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Introduction to Abstract Algebra AS.110.401 (01)

An introduction to the basic notions of modern abstract algebra and can serve as as Introduction to Proofs (IP) course. This course is an introduction to group theory, with an emphasis on concrete examples, and especially on geometric symmetry groups. The course will introduce basic notions (groups, subgroups, homomorphisms, quotients) and prove foundational results (Lagrange's theorem, Cauchy's theorem, orbit-counting techniques, the classification of finite abelian groups). Examples to be discussed include permutation groups, dihedral groups, matrix groups, and finite rotation groups, culminating in the classification of the wallpaper groups.
Prerequisites: Grade of C- or better in 110.201 or 110.212
Area: Quantitative and Mathematical Sciences.

Days/Times: MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM

Instructor: Gregoric, Rok

Room: Maryland 104

Status: Open

Seats Available: 5/20

PosTag(s): n/a

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Real Analysis I AS.110.405 (01)

This course is designed to give a firm grounding in the basic tools of analysis. It is recommended as preparation (but may not be a prerequisite) for other advanced analysis courses and may be taken as an Introduction to Proofs (IP) course. Topics include the formal properties of real and complex number systems, topology of metric spaces, limits, continuity, infinite sequences and series, differentiation, Riemann-Stieltjes integration.
Prerequisites: Grade of C- or better in 110.201 or 110.212 and 110.202 or 110.211

Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Instructor: Wang, Xiong

Room: Ames 218

Status: Open

Seats Available: 26/40

PosTag(s): BMED-CB

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Real Analysis II AS.110.406 (01)

This course continues AS.110.405 with an emphasis on the fundamental notions of modern analysis. Sequences and series of functions, Fourier series, equicontinuity and the Arzela-Ascoli theorem, the Stone-Weierstrass theorem, functions of several variables, the inverse and implicit function theorems, introduction to the Lebesgue integral.

Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Instructor: Wang, Yi

Room:

Status: Open

Seats Available: 9/10

PosTag(s): n/a

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Honors Algebra II AS.110.412 (01)

This is a continuation of 110.411 Honors Algebra I. Topics studies include principal ideal domains, structure of finitely generated modules over them. Introduction to field theory. Linear algebra over a field. Field extensions, constructible polygons, non-trisectability. Splitting field of a polynomial, algebraic closure of a field. Galois theory: correspondence between subgroups and subfields. Solvability of polynomial equations by radicals. Prerequisites: Grade of C- or better in 110.201 or 110.212.
Area: Quantitative and Mathematical Sciences.

Days/Times: MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM

Instructor: Weinberger, Jonathan Maximilian Lajos

Room: Hodson 315

Status: Open

Seats Available: 5/20

PosTag(s): n/a

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Introduction to Topology AS.110.413 (01)

Topological spaces, connectedness, compactness, quotient spaces, metric spaces, function spaces. An introduction to algebraic topology: covering spaces, the fundamental group, and other topics as time permits.

Lebesgue integration and differentiation. Elementary Hilbert and Banach space theory. Baire category theorem. Continuation of AS.110.415, introduction to real analysis.

Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Instructor: Zhao, Zihui

Room: Bloomberg 178

Status: Open

Seats Available: 4/12

PosTag(s): n/a

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Partial Differential Equations AS.110.417 (01)

This course is aimed at a first exposure to the theory of Partial Differential Equations by examples. Basic examples of PDEs (Boundary value problems and initial value problems): Laplace equation, heat equation and wave equation. Method of separation of variables. Fourier series. Examples of wave equations in one and two dimensions. Sturm-Liouville eigenvalue problems and generalized Fourier series. Self-adjoint operators and applications to problems in higher dimensions. Nonhomogeneous PDEs. Green's functions and fundamental solution for the heat equation. Prerequisites:Calculus III. Recommended: 110.405 or 110.415.

Days/Times: TTh 12:00PM - 1:15PM

Instructor: Wang, Xiong

Room: Hodson 301

Status: Open

Seats Available: 7/12

PosTag(s): n/a

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Dynamical Systems AS.110.421 (01)

This is a course in the modern theory of Dynamical Systems. Topic include both discrete (iterated maps) and continuous (differential equations) dynamical systems and focuses on the qualitative structure of the system in developing properties of solutions. Topics include contractions, interval and planar maps, linear and nonlinear ODE systems including bifurcation theory, recurrence, transitivity and mixing, phase volume preservation as well as chaos theory, fractional dimension and topological entropy. May be taken as an Introduction to Proofs (IP) course.
Prerequisites: Grade of C- or better in 110.201 or 110.212 OR 110.202 or 110.211 and 110.302
Area: Quantitative and Mathematical Sciences

Days/Times: TTh 3:00PM - 4:15PM

Instructor: Brown, Richard

Room: Maryland 104

Status: Open

Seats Available: 5/20

PosTag(s): n/a

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Mathematical and Computational Foundations of Data Science AS.110.445 (01)

We will cover several topics in the mathematical and computational foundations of Data Science. The emphasis is on fundamental mathematical ideas (basic functional analysis, reproducing kernel Hilbert spaces, concentration inequalities, uniform central limit theorems), basic statistical modeling techniques (e.g. linear regression, parametric and non-parametric methods), basic machine learning techniques for unsupervised (e.g. clustering, manifold learning), supervised (classification, regression), and semi-supervised learning, and corresponding computational aspects (linear algebra, basic linear and nonlinear optimization to attack the problems above). Applications will include statistical signal processing, imaging, inverse problems, graph processing, and problems at the intersection of statistics/machine learning and physical/dynamical systems (e.g. model reduction for stochastic dynamical systems).

Days/Times: TTh 12:00PM - 1:15PM

Instructor: Maggioni, Mauro

Room: Shaffer 300

Status: Open

Seats Available: 33/55

PosTag(s): CSCI-OTHER

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Data Analytics Workshop AS.110.100 (41)

In this two-week pre-college program, students work in groups to construct and present a data analysis project which collects, organizes, cleanses, and visualizes a dataset of their choosing. Topics include exploratory data analysis, data visualization, probability distributions, data scraping and cleansing, the basics of hypothesis testing, and regression modeling. Students will primarily use Microsoft Excel. Programs like Octave (Matlab), and Octoparse, will also be introduced to help students learn the basics of data analytics.

Days/Times:

Instructor: Zoll, Aaron Joshua

Room:

Status: Open

Seats Available: 35/50

PosTag(s): n/a

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Data Analytics Workshop AS.110.100 (51)

In this two-week pre-college program, students work in groups to construct and present a data analysis project which collects, organizes, cleanses, and visualizes a dataset of their choosing. Topics include exploratory data analysis, data visualization, probability distributions, data scraping and cleansing, the basics of hypothesis testing, and regression modeling. Students will primarily use Microsoft Excel. Programs like Octave (Matlab), and Octoparse, will also be introduced to help students learn the basics of data analytics.

Days/Times:

Instructor: Zoll, Aaron Joshua

Room:

Status: Open

Seats Available: 35/50

PosTag(s): n/a

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Data Analytics Workshop AS.110.100 (61)

In this two-week pre-college program, students work in groups to construct and present a data analysis project which collects, organizes, cleanses, and visualizes a dataset of their choosing. Topics include exploratory data analysis, data visualization, probability distributions, data scraping and cleansing, the basics of hypothesis testing, and regression modeling. Students will primarily use Microsoft Excel. Programs like Octave (Matlab), and Octoparse, will also be introduced to help students learn the basics of data analytics.

Days/Times:

Instructor: Zoll, Aaron Joshua

Room:

Status: Open

Seats Available: 28/50

PosTag(s): n/a

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College Algebra AS.110.102 (88)

This introductory course will create a foundational understanding of topics in Algebra. An emphasis will be on applications to prepare students for future courses like Precalculus or Statistics. After a review of elementary algebra concepts, topics covered include: equations and inequalities, linear equations, exponents and polynomials, factoring, rational expressions and equations, relations and functions, radicals, linear and quadratic equations, higher-degree polynomials, exponential, logarithmic, and rational functions.

Days/Times:

Instructor: Gaines, Alexa D; Ross, Lauren Elizabeth

Room:

Status: Open

Seats Available: 96/100

PosTag(s): n/a

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Precalculus AS.110.105 (21)

This course provides students with the background necessary for the study of calculus. It begins with a review of the coordinate plane, linear equations, and inequalities, and moves purposefully into the study of functions. Students will explore the nature of graphs and deepen their understanding of polynomial, rational, trigonometric, exponential, and logarithmic functions, and will be introduced to complex numbers, parametric equations, and the difference quotient.

Days/Times: MTWTh 1:00PM - 3:30PM

Instructor: Cutrone, Joseph W

Room: Bloomberg 272

Status: Open

Seats Available: 26/30

PosTag(s): n/a

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Precalculus AS.110.105 (88)

This course provides students with the background necessary for the study of calculus. It begins with a review of the coordinate plane, linear equations, and inequalities, and moves purposefully into the study of functions. Students will explore the nature of graphs and deepen their understanding of polynomial, rational, trigonometric, exponential, and logarithmic functions, and will be introduced to complex numbers, parametric equations, and the difference quotient.

Days/Times:

Instructor: Gaines, Alexa D

Room:

Status: Open

Seats Available: 89/100

PosTag(s): n/a

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Calculus II (For Biology and Social Science) AS.110.107 (88)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Days/Times:

Instructor: Bridgman, Terry

Room:

Status: Open

Seats Available: 85/100

PosTag(s): ROBO-CMMA

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Calculus I (Physical Sciences & Engineering) AS.110.108 (21)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MTWTh 9:00AM - 11:30AM

Instructor: Kumar, Aditya

Room: Krieger 205

Status: Open

Seats Available: 23/30

PosTag(s): ROBO-CMMA

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Calculus I (Physical Sciences & Engineering) AS.110.108 (88)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times:

Instructor: Clayton, Amanda M

Room:

Status: Open

Seats Available: 79/100

PosTag(s): ROBO-CMMA

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Calculus II (Physical Sciences & Engineering) AS.110.109 (88)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Days/Times:

Instructor: Cutrone, Joseph W

Room:

Status: Open

Seats Available: 80/100

PosTag(s): ROBO-CMMA

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Foundational Mathematics of Artificial Intelligence AS.110.110 (66)

As artificial intelligence models like ChatGPT become increasingly capable and part of our everyday life, the need to understand their inner workings intensifies. This course introduces the mathematical and statistical principles behind machine learning and AI technologies. Students will assimilate basic concepts including math models and performance measurement. They will apply software to build machine learning applications that serve as AI building blocks including linear regression, classification trees, neural networks, and reinforcement learning. Participants will be challenged to assess the quality of their analyses to better understand the opportunities for, and the limitations of AI.

Days/Times: MTWThF 9:30AM - 4:00PM

Instructor: Sukurdeep, Yashil

Room: Hodson 216

Status: Open

Seats Available: 1/24

PosTag(s): n/a

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Foundational Mathematics of Artificial Intelligence AS.110.110 (71)

As artificial intelligence models like ChatGPT become increasingly capable and part of our everyday life, the need to understand their inner workings intensifies. This course introduces the mathematical and statistical principles behind machine learning and AI technologies. Students will assimilate basic concepts including math models and performance measurement. They will apply software to build machine learning applications that serve as AI building blocks including linear regression, classification trees, neural networks, and reinforcement learning. Participants will be challenged to assess the quality of their analyses to better understand the opportunities for, and the limitations of AI.

Days/Times: MTWThF 9:30AM - 4:00PM

Instructor: Murphy, Kenneth

Room: Hodson 216

Status: Open

Seats Available: 1/24

PosTag(s): n/a

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Foundational Mathematics of Artificial Intelligence AS.110.110 (76)

As artificial intelligence models like ChatGPT become increasingly capable and part of our everyday life, the need to understand their inner workings intensifies. This course introduces the mathematical and statistical principles behind machine learning and AI technologies. Students will assimilate basic concepts including math models and performance measurement. They will apply software to build machine learning applications that serve as AI building blocks including linear regression, classification trees, neural networks, and reinforcement learning. Participants will be challenged to assess the quality of their analyses to better understand the opportunities for, and the limitations of AI.

Days/Times: MTWThF 9:30AM - 4:00PM

Instructor: Sukurdeep, Yashil

Room: Hodson 216

Status: Waitlist Only

Seats Available: 0/24

PosTag(s): n/a

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Math Modelling: Preparing for Calculus AS.110.111 (71)

This course is designed to challenge students to apply concepts and skills needed for AS.110.105, 106 or 108 (precalculus and calculus I at Hopkins) in project-based modeling problems. The course will center on two projects with the following focii: (1) linear models, graphing linear equations, interpreting slope and intercept and applying these concepts and (2) exponential models, graphing exponential functions, interpreting initial values and growth/decay factors and applying these concepts.

Days/Times: MTWThF 1:15PM - 2:30PM

Instructor: Braley, Emily

Room: Maryland 110

Status: Open

Seats Available: 20/44

PosTag(s): n/a

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Math Modelling: Preparing for Advanced Mathematics AS.110.111 (76)

This course is designed to challenge students to apply concepts and skills needed for AS.110.201 and 202(Calc III and Linear Algebra at Hopkins)in project-based modeling problems.The course will center on two projects with the following focii: (1) linear regression and(2)demographic modeling with matrices.

Days/Times: MTWThF 1:15PM - 2:30PM

Instructor: Braley, Emily

Room: Maryland 110

Status: Open

Seats Available: 26/44

PosTag(s): n/a

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SPARK: Mathematics AS.110.112 (94)

This Summer Program Advancing Readiness and Knowledge allows incoming students to work through learning modules in the preparation and learning platform ALEKS with the support of a near-peer network. Students will participate synchronously and asynchronously over a two-week period.

Days/Times:

Instructor: Griffin, Catrish

Room:

Status: Open

Seats Available: 56/130

PosTag(s): n/a

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Introduction to Data Analysis AS.110.125 (88)

This online course introduces students to important concepts in data analytics across a wide range of case studies. Students will learn how to gather, analyze, and interpret data to drive strategic and operational success. They will explore how to clean and organize data for analysis, and how to perform calculations using Microsoft Excel. Topics include the data science lifecycle, probability, statistics, hypothesis testing, set theory, graphing, regression, and data ethics.

Days/Times:

Instructor: Gaines, Alexa D

Room:

Status: Open

Seats Available: 91/100

PosTag(s): n/a

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Mathematics for Sustainability AS.110.126 (21)

Mathematics for Sustainability covers topics in measurement, probability, statistics, dynamics, and data analysis. In this course, students will analyze, visually represent, and interpret large, real data sets from a variety of government, corporate, and non-profit sources. Through local and global case studies, students will engage in the mathematics behind environmental sustainability issues and the debates centered on them. Topics include climate change, natural resource use, waste production, air and water pollution, water scarcity, and decreasing biodiversity. The software package R is used throughout the semester.

Days/Times: MTWTh 9:00AM - 11:30AM

Instructor: Pezzi, Daniel Joseph

Room: Maryland 110

Status: Open

Seats Available: 15/30

PosTag(s): n/a

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Linear Algebra AS.110.201 (88)

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Days/Times:

Instructor: Marshburn, Nicholas A

Room:

Status: Open

Seats Available: 62/100

PosTag(s): ROBO-CMMA

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Calculus III AS.110.202 (21)

Calculus of Several Variables. Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MTWTh 1:00PM - 3:30PM

Instructor: Shumakovitch, Alexander N

Room: Krieger 205

Status: Open

Seats Available: 22/30

PosTag(s): ROBO-CMMA

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Calculus III AS.110.202 (88)

Non-JHU students must register by June 1 in order to participate in the course. Calculus of Several Variables. Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times:

Instructor: Christiansen, Teri E

Room:

Status: Open

Seats Available: 53/100

PosTag(s): ROBO-CMMA

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Mathematics of Data Science AS.110.205 (88)

This course is designed for students of all backgrounds to provide a solid foundation in the underlying mathematical, programming, and statistical theory of data analysis. In today's data driven world, data literacy is an increasingly important skill to master. To this end, the course will motivate the fundamental concepts used in this growing field. While discussing the general theory behind common methods of data science there will be numerous applications to real world data sets. In particular, the course will use Python libraries to create, import, and analyze data sets.

Days/Times:

Instructor: Ratigan, Christopher J

Room:

Status: Open

Seats Available: 18/30

PosTag(s): n/a

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Introduction to Probability AS.110.275 (88)

This course follows the actuarial Exam P syllabus and learning objectives to prepare students to pass the SOA/CAS Probability Exam. Topics include axioms of probability, discrete and continuous random variables, conditional probability, Bayes’ theorem, Chebyshev's Theorem, Central Limit Theorem, univariate and joint distributions and expectations, loss frequency, loss severity and other risk management concepts. Exam P learning objectives and learning outcomes are emphasized. Recommended Course Background: Calculus II

Days/Times:

Instructor: Marshburn, Nicholas A

Room:

Status: Open

Seats Available: 96/100

PosTag(s): n/a

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Introduction to Financial Mathematics AS.110.276 (88)

This course is designed to develop students' understanding of fundamental concepts of financial mathematics. The course will cover mathematical theory and applications including the time value of money, annuities and cash flows, bond pricing, loans, amortization, stock and portfolio pricing, immunization of portfolios, swaps and determinants of interest rates, asset matching and convexity. A basic knowledge of calculus and an introductory knowledge of probability is assumed.

Days/Times:

Instructor: Nichols, Bradford Scott

Room:

Status: Open

Seats Available: 90/100

PosTag(s): n/a

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Introduction to Proofs AS.110.301 (88)

This course will provide a practical introduction to mathematical proof, both as they have been done for centuries, and using a modern technological theorem prover. The course begins with the basic building blocks of mathematics: propositional logic, set theory, functions, and relations. These foundational tools lead to answers to questions that are surprisingly difficult, like “what are numbers?” Students will be exposed to mathematical notation and how to create it in digital documents, as well as an “artificially intelligent” proof assistant. The course will conclude with a consideration of the role of A.I. in pure mathematics, particularly as it applies to proofs.

Days/Times:

Instructor: Goldstein, Erich A

Room:

Status: Open

Seats Available: 25/30

PosTag(s): n/a

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Differential Equations with Applications AS.110.302 (88)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Days/Times:

Instructor: Marshburn, Nicholas A

Room:

Status: Open

Seats Available: 54/100

PosTag(s): n/a

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The Mathematics of Politics, Democracy, and Social Choice AS.110.303 (88)

This course is designed for students of all backgrounds to provide a mathematical introduction to
social choice theory, weighted voting systems, apportionment methods, and gerrymandering. In
the search for ideal ways to make certain kinds of political decisions, a lot of wasted effort could
be averted if mathematics could determine that finding such an ideal were actually possible in the
first place. The course will analyze data from recent US elections as well as provide historical
context to modern discussions in politics, culminating in a mathematical analysis of the US
Electoral College. Case studies, future implications, and comparisons to other governing bodies
outside the US will be used to apply the theory of the course. Students will use Microsoft Excel to
analyze data sets. There are no mathematical prerequisites for this course.

Days/Times:

Instructor: Ratigan, Christopher J

Room:

Status: Open

Seats Available: 90/100

PosTag(s): AGRI-ELECT

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Introduction to Abstract Algebra AS.110.401 (88)

An introduction to the basic notions of modern abstract algebra and can serve as as Introduction to Proofs (IP) course. This course is an introduction to group theory, with an emphasis on concrete examples, and especially on geometric symmetry groups. The course will introduce basic notions (groups, subgroups, homomorphisms, quotients) and prove foundational results (Lagrange's theorem, Cauchy's theorem, orbit-counting techniques, the classification of finite abelian groups). Examples to be discussed include permutation groups, dihedral groups, matrix groups, and finite rotation groups, culminating in the classification of the wallpaper groups.
Prerequisites: Grade of C- or better in 110.201 or 110.212
Area: Quantitative and Mathematical Sciences.

Days/Times:

Instructor: Marshburn, Nicholas A

Room:

Status: Open

Seats Available: 93/100

PosTag(s): n/a

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Real Analysis I AS.110.405 (88)

This course is designed to give a firm grounding in the basic tools of analysis. It is recommended as preparation (but may not be a prerequisite) for other advanced analysis courses and may be taken as an Introduction to Proofs (IP) course. Topics include the formal properties of real and complex number systems, topology of metric spaces, limits, continuity, infinite sequences and series, differentiation, Riemann-Stieltjes integration.
Prerequisites: Grade of C- or better in 110.201 or 110.212 and 110.202 or 110.211

Days/Times:

Instructor: Marino, Jeffrey Robert

Room:

Status: Open

Seats Available: 76/100

PosTag(s): n/a

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FYS: The Mathematics of Politics, Democracy, and Social Choice AS.001.184 (01)

This First-Year Seminar is designed for students of all backgrounds to provide a mathematical introduction to social choice theory, weighted voting systems, apportionment methods, and gerrymandering. In the search for ideal ways to make certain kinds of political decisions, a lot of wasted effort could be averted if mathematics could determine that finding such an ideal were actually possible in the first place. The seminar will analyze data from recent US elections as well as provide historical context to modern discussions in politics, culminating in a mathematical analysis of the US Electoral College. Case studies, future implications, and comparisons to other governing bodies outside the US will be used to apply the theory of the course. Students will use Microsoft Excel to analyze data sets. There are no mathematical prerequisites for this course.

Days/Times: TTh 1:30PM - 2:45PM

Instructor: Cutrone, Joseph W

Room: Krieger Laverty

Status: Waitlist Only

Seats Available: 0/12

PosTag(s): AGRI-ELECT

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Precalculus AS.110.105 (01)

This course provides students with the background necessary for the study of calculus. It begins with a review of the coordinate plane, linear equations, and inequalities, and moves purposefully into the study of functions. Students will explore the nature of graphs and deepen their understanding of polynomial, rational, trigonometric, exponential, and logarithmic functions, and will be introduced to complex numbers, parametric equations, and the difference quotient.

Days/Times: MWF 9:00AM - 9:50AM, T 4:30PM - 5:20PM

Instructor: Ahmed, Mikail Yunus

Room: Hodson 211

Status: Open

Seats Available: 11/30

PosTag(s): n/a

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Calculus I (Biology and Social Sciences) AS.110.106 (01)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Days/Times: MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Instructor: Wentworth-Nice, Prairie

Room: Remsen Hall 101

Status: Open

Seats Available: 1/30

PosTag(s): ROBO-CMMA

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Calculus I (Biology and Social Sciences) AS.110.106 (02)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Instructor: Wentworth-Nice, Prairie

Room: Remsen Hall 101

Status: Open

Seats Available: 3/30

PosTag(s): ROBO-CMMA

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Calculus I (Biology and Social Sciences) AS.110.106 (03)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Instructor: Wentworth-Nice, Prairie

Room: Remsen Hall 101

Status: Open

Seats Available: 10/30

PosTag(s): ROBO-CMMA

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Calculus I (Biology and Social Sciences) AS.110.106 (05)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Calculus I (Biology and Social Sciences) AS.110.106 (09)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Instructor: Wentworth-Nice, Prairie

Room: Remsen Hall 101

Status: Waitlist Only

Seats Available: 0/30

PosTag(s): ROBO-CMMA

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Calculus I (Biology and Social Sciences) AS.110.106 (10)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Instructor: Wentworth-Nice, Prairie

Room: Remsen Hall 101

Status: Open

Seats Available: 2/30

PosTag(s): ROBO-CMMA

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Calculus I (Biology and Social Sciences) AS.110.106 (11)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Calculus I (Biology and Social Sciences) AS.110.106 (12)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

Calculus II (For Biological and Social Science) AS.110.107 (01)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Instructor: Campion, Tim Francis

Room: Maryland 110

Status: Open

Seats Available: 7/30

PosTag(s): ROBO-CMMA

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Calculus II (For Biological and Social Science) AS.110.107 (02)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Instructor: Campion, Tim Francis

Room: Maryland 110

Status: Open

Seats Available: 2/30

PosTag(s): ROBO-CMMA

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Calculus II (For Biological and Social Science) AS.110.107 (03)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Calculus II (For Biological and Social Science) AS.110.107 (04)

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Calculus I (Physical Sciences & Engineering) AS.110.108 (02)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Instructor: Marshall-Stevens, Kobe

Room: Hodson 210

Status: Open

Seats Available: 9/30

PosTag(s): ROBO-CMMA

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Calculus I (Physical Sciences & Engineering) AS.110.108 (03)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Calculus I (Physical Sciences & Engineering) AS.110.108 (04)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Instructor: Marshall-Stevens, Kobe

Room: Hodson 210

Status: Waitlist Only

Seats Available: 0/30

PosTag(s): ROBO-CMMA

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Calculus I (Physical Sciences & Engineering) AS.110.108 (07)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

Calculus II (For Physical Sciences and Engineering) AS.110.109 (01)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Days/Times: MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Instructor: Li, Huajie

Room: Shaffer 301

Status: Waitlist Only

Seats Available: 0/30

PosTag(s): ROBO-CMMA

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Calculus II (For Physical Sciences and Engineering) AS.110.109 (02)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Instructor: Li, Huajie

Room: Shaffer 301

Status: Open

Seats Available: 9/30

PosTag(s): ROBO-CMMA

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Calculus II (For Physical Sciences and Engineering) AS.110.109 (03)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Calculus II (For Physical Sciences and Engineering) AS.110.109 (04)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Instructor: Li, Huajie

Room: Mergenthaler 111

Status: Open

Seats Available: 3/30

PosTag(s): ROBO-CMMA

×

Calculus II (For Physical Sciences and Engineering) AS.110.109 (05)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Instructor: Li, Huajie

Room: Mergenthaler 111

Status: Open

Seats Available: 6/30

PosTag(s): ROBO-CMMA

×

Calculus II (For Physical Sciences and Engineering) AS.110.109 (07)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Calculus II (For Physical Sciences and Engineering) AS.110.109 (08)

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Days/Times: MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Instructor: Riehl, EMILY

Room: Krieger 205

Status: Waitlist Only

Seats Available: 0/24

PosTag(s): ROBO-CMMA

×

Linear Algebra AS.110.201 (02)

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Instructor: Riehl, EMILY

Room: Krieger 205

Status: Open

Seats Available: 2/24

PosTag(s): ROBO-CMMA

×

Linear Algebra AS.110.201 (03)

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Instructor: Riehl, EMILY

Room: Krieger 205

Status: Open

Seats Available: 4/24

PosTag(s): ROBO-CMMA

×

Linear Algebra AS.110.201 (04)

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 11:00AM - 11:50AM, T 1:30PM - 2:20PM

Instructor: Brown, Richard

Room: Shaffer 3

Status: Open

Seats Available: 1/24

PosTag(s): ROBO-CMMA

×

Calculus III AS.110.202 (02)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 11:00AM - 11:50AM, T 3:00PM - 3:50PM

Instructor: Brown, Richard

Room: Shaffer 3

Status: Open

Seats Available: 4/24

PosTag(s): ROBO-CMMA

×

Calculus III AS.110.202 (03)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Instructor: Brown, Richard

Room: Shaffer 3

Status: Open

Seats Available: 1/24

PosTag(s): ROBO-CMMA

×

Calculus III AS.110.202 (04)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Instructor: Brown, Richard

Room: Shaffer 3

Status: Open

Seats Available: 2/24

PosTag(s): ROBO-CMMA

×

Calculus III AS.110.202 (05)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 12:00PM - 12:50PM, T 3:00PM - 3:50PM

Instructor: Brown, Richard

Room: Shaffer 3

Status: Open

Seats Available: 1/24

PosTag(s): ROBO-CMMA

×

Calculus III AS.110.202 (09)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM

Instructor: Brown, Richard

Room: Shaffer 3

Status: Open

Seats Available: 1/24

PosTag(s): ROBO-CMMA

×

Calculus III AS.110.202 (10)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Days/Times: MWF 12:00PM - 12:50PM, T 6:00PM - 6:50PM

Instructor: Brown, Richard

Room: Shaffer 3

Status: Open

Seats Available: 2/24

PosTag(s): ROBO-CMMA

×

Calculus III AS.110.202 (11)

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

This course includes the material in AS.110.201 with additional applications and theory, and is recommended only for mathematically able students majoring in physical science, engineering, or mathematics who are interested in a proof-based version of linear algebra. This course can serve as an Introduction to Proofs (IP) course.
Prerequisites: Grade of B+ or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Instructor: Sakellaridis, Yiannis

Room: Hodson 301

Status: Open

Seats Available: 15/30

PosTag(s): ROBO-CMMA

×

Problem Solving Lab AS.110.225 (01)

This course is an introduction to mathematical reason and formalism in the context of mathematical problem solving, such as induction, invariants, inequalities and generating functions. This course does not satisfy any major requirement, and may be taken more than once for credit It is primarily used as training for the William Lowell Putnam Mathematics Competition.
Area: Quantitative and Mathematical Sciences.

Days/Times: Th 3:00PM - 4:40PM

Instructor: Chedalavada, Anish V

Room: Bloomberg 178

Status: Open

Seats Available: 6/12

PosTag(s): n/a

×

Introduction to Proofs AS.110.301 (01)

This course will provide a practical introduction to mathematical proof, both as they have been done for centuries, and using a modern technological theorem prover. The course begins with the basic building blocks of mathematics: propositional logic, set theory, functions, and relations. These foundational tools lead to answers to questions that are surprisingly difficult, like “what are numbers?” Students will be exposed to mathematical notation and how to create it in digital documents, as well as an “artificially intelligent” proof assistant. The course will conclude with a consideration of the role of A.I. in pure mathematics, particularly as it applies to proofs.

Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Instructor: Rijke, Egbert

Room:

Status: Open

Seats Available: 26/30

PosTag(s): n/a

×

Differential Equations and Applications AS.110.302 (01)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Days/Times: MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM

Instructor: Wu, Yueqiao

Room: Maryland 110

Status: Waitlist Only

Seats Available: 0/24

PosTag(s): n/a

×

Differential Equations and Applications AS.110.302 (02)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Differential Equations and Applications AS.110.302 (03)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Differential Equations and Applications AS.110.302 (04)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Days/Times: MWF 1:30PM - 2:20PM, T 3:00PM - 3:50PM

Instructor: Wu, Yueqiao

Room: Shaffer 303

Status: Waitlist Only

Seats Available: 0/24

PosTag(s): n/a

×

Differential Equations and Applications AS.110.302 (05)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

Days/Times: MWF 1:30PM - 2:20PM, T 4:30PM - 5:20PM

Instructor: Wu, Yueqiao

Room: Shaffer 303

Status: Waitlist Only

Seats Available: 0/24

PosTag(s): n/a

×

Differential Equations and Applications AS.110.302 (06)

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

The Mathematics of Politics, Democracy, and Social Choice AS.110.303 (88)

This course is designed for students of all backgrounds to provide a mathematical introduction to
social choice theory, weighted voting systems, apportionment methods, and gerrymandering. In
the search for ideal ways to make certain kinds of political decisions, a lot of wasted effort could
be averted if mathematics could determine that finding such an ideal were actually possible in the
first place. The course will analyze data from recent US elections as well as provide historical
context to modern discussions in politics, culminating in a mathematical analysis of the US
Electoral College. Case studies, future implications, and comparisons to other governing bodies
outside the US will be used to apply the theory of the course. Students will use Microsoft Excel to
analyze data sets. There are no mathematical prerequisites for this course.

Days/Times:

Instructor: Ratigan, Christopher J

Room:

Status: Open

Seats Available: 15/25

PosTag(s): AGRI-ELECT

×

Elementary Number Theory AS.110.304 (01)

The student is provided with many historical examples of topics, each of which serves as an illustration of and provides a background for many years of current research in number theory. Primes and prime factorization, congruences, Euler's function, quadratic reciprocity, primitive roots, solutions to polynomial congruences (Chevalley's theorem), Diophantine equations including the Pythagorean and Pell equations, Gaussian integers, Dirichlet's theorem on primes.

Days/Times: TTh 9:00AM - 10:15AM, F 9:00AM - 9:50AM

Instructor: Sunohara, Matthew Tyler Toyoharu

Room: Maryland 104

Status: Open

Seats Available: 15/19

PosTag(s): n/a

×

Methods of Complex Analysis AS.110.311 (01)

This course is an introduction to the theory of functions of one complex variable. Its emphasis is on techniques and applications, and it serves as a basis for more advanced courses. Functions of a complex variable and their derivatives; power series and Laurent expansions; Cauchy integral theorem and formula; calculus of residues and contour integrals; harmonic functions.

An introduction to the basic notions of modern abstract algebra and can serve as as Introduction to Proofs (IP) course. This course is an introduction to group theory, with an emphasis on concrete examples, and especially on geometric symmetry groups. The course will introduce basic notions (groups, subgroups, homomorphisms, quotients) and prove foundational results (Lagrange's theorem, Cauchy's theorem, orbit-counting techniques, the classification of finite abelian groups). Examples to be discussed include permutation groups, dihedral groups, matrix groups, and finite rotation groups, culminating in the classification of the wallpaper groups.
Prerequisites: Grade of C- or better in 110.201 or 110.212
Area: Quantitative and Mathematical Sciences.

Days/Times: MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM

Instructor: Park, Chamsol

Room: Bloomberg 172

Status: Open

Seats Available: 9/18

PosTag(s): n/a

×

Real Analysis I AS.110.405 (01)

This course is designed to give a firm grounding in the basic tools of analysis. It is recommended as preparation (but may not be a prerequisite) for other advanced analysis courses and may be taken as an Introduction to Proofs (IP) course. Topics include the formal properties of real and complex number systems, topology of metric spaces, limits, continuity, infinite sequences and series, differentiation, Riemann-Stieltjes integration.
Prerequisites: Grade of C- or better in 110.201 or 110.212 and 110.202 or 110.211

Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Instructor: Shumakovitch, Alexander N

Room: Shaffer 2

Status: Open

Seats Available: 9/30

PosTag(s): BMED-CB

×

Honors Complex Analysis AS.110.407 (01)

AS.110.407. Honors Complex Analysis. 4.00 Credits.
This course is an introduction to the theory of functions of one complex variable for honors students. Its emphasis is on techniques and applications, and can serve as an Introduction to Proofs (IP) course. Topics will include functions of a complex variable and their derivatives; power series and Laurent expansions; Cauchy integral theorem and formula; calculus of residues and contour integrals; harmonic functions, as well as applications to number theory and harmonic analysis.
Area: Quantitative and Mathematical Sciences.
This is not an Introduction to Proofs course (IP) and may not be taken as a first proof-based mathematics course except at the discretion of the instructor. This course satisfies a core requirement of the mathematics major as a second analysis course, and is a core requirement for honors in the major.

Days/Times: TTh 12:00PM - 1:15PM

Instructor: Gregoric, Rok

Room: Maryland 217

Status: Open

Seats Available: 20/24

PosTag(s): n/a

×

Honors Algebra I AS.110.411 (01)

An introduction to the basic notions of modern algebra for students with some prior acquaintance with abstract mathematics. Elements of group theory: groups, subgroups, normal subgroups, quotients, homomorphisms. Generators and relations, free groups, products, abelian groups, finite groups. Groups acting on sets, the Sylow theorems. Definition and examples of rings and ideals.

Days/Times: MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM

Instructor: Meng, Fanjun

Room: Maryland 104

Status: Open

Seats Available: 6/24

PosTag(s): n/a

×

Honors Algebra II AS.110.412 (88)

This is a continuation of 110.411 Honors Algebra I. Topics studies include principal ideal domains, structure of finitely generated modules over them. Introduction to field theory. Linear algebra over a field. Field extensions, constructible polygons, non-trisectability. Splitting field of a polynomial, algebraic closure of a field. Galois theory: correspondence between subgroups and subfields. Solvability of polynomial equations by radicals. Prerequisites: Grade of C- or better in 110.201 or 110.212.
Area: Quantitative and Mathematical Sciences.

Days/Times:

Instructor: Nakade, Apurva

Room:

Status: Open

Seats Available: 48/50

PosTag(s): n/a

×

Introduction To Topology AS.110.413 (88)

Topological spaces, connectedness, compactness, quotient spaces, metric spaces, function spaces. An introduction to algebraic topology: covering spaces, the fundamental group, and other topics as time permits.

Days/Times:

Instructor: Ross, Lauren Elizabeth

Room:

Status: Open

Seats Available: 46/50

PosTag(s): n/a

×

Honors Analysis I AS.110.415 (01)

This highly theoretical sequence in analysis is reserved for the most able students. The sequence covers the real number system, metric spaces, basic functional analysis, the Lebesgue integral, and other topics.

Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Instructor: Maggioni, Mauro

Room: Maryland 217

Status: Open

Seats Available: 8/24

PosTag(s): n/a

×

Representation Theory AS.110.422 (01)

This course will focus on the basic theory of representations of finite groups in characteristic zero: Schur's Lemma, Mashcke's Theorem and complete reducibility, character tables and orthogonality, direct sums and tensor products. The main examples we will try to understand are the representation theory of the symmetric group and the general linear group over a finite field. If time permits, the theory of Brauer characters and modular representations will be introduced.

Days/Times: MW 4:30PM - 5:45PM

Instructor: Khovanov, Mikhail

Room: Gilman 400

Status: Open

Seats Available: 13/19

PosTag(s): n/a

×

Introduction To Differential Geometry AS.110.439 (01)

Theory of curves and surfaces in Euclidean space: Frenet equations, fundamental forms, curvatures of a surface, theorems of Gauss and Mainardi-Codazzi, curves on a surface; introduction to tensor analysis and Riemannian geometry; theorema egregium; elementary global theorems.

Days/Times: TTh 1:30PM - 2:45PM

Instructor: Restrepo Montoya, Daniel Eduardo

Room: Maryland 104

Status: Open

Seats Available: 17/24

PosTag(s): n/a

Course # (Section)

Title

Day/Times

Instructor

Location

Term

Course Details

AS.110.106 (01)

Calculus I (Biology and Social Sciences)

MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Lu, Fei

Remsen Hall 101

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.106 (02)

Calculus I (Biology and Social Sciences)

MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Lu, Fei

Remsen Hall 101

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.106 (03)

Calculus I (Biology and Social Sciences)

MWF 10:00AM - 10:50AM, Th 3:00PM - 3:50PM

Lu, Fei

Remsen Hall 101

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.107 (01)

Calculus II (For Biological and Social Science)

MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Pezzi, Daniel Joseph

Krieger 205

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.107 (02)

Calculus II (For Biological and Social Science)

MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Pezzi, Daniel Joseph

Krieger 205

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.107 (03)

Calculus II (For Biological and Social Science)

MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Pezzi, Daniel Joseph

Krieger 205

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.107 (04)

Calculus II (For Biological and Social Science)

MWF 10:00AM - 10:50AM, Th 3:00PM - 3:50PM

Pezzi, Daniel Joseph

Krieger 205

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.107 (05)

Calculus II (For Biological and Social Science)

MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM

Pezzi, Daniel Joseph

Krieger 205

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.107 (06)

Calculus II (For Biological and Social Science)

MWF 10:00AM - 10:50AM, Th 6:00PM - 6:50PM

Pezzi, Daniel Joseph

Krieger 205

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.107 (07)

Calculus II (For Biological and Social Science)

MWF 11:00AM - 11:50AM, T 3:00PM - 3:50PM

Sun, Yuchin

Remsen Hall 101

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.107 (09)

Calculus II (For Biological and Social Science)

MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Sun, Yuchin

Remsen Hall 101

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.107 (10)

Calculus II (For Biological and Social Science)

MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Sun, Yuchin

Remsen Hall 101

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.107 (11)

Calculus II (For Biological and Social Science)

MWF 11:00AM - 11:50AM, Th 3:00PM - 3:50PM

Sun, Yuchin

Remsen Hall 101

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.107 (12)

Calculus II (For Biological and Social Science)

MWF 11:00AM - 11:50AM, Th 4:30PM - 5:20PM

Sun, Yuchin

Remsen Hall 101

Spring 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.109 (01)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, T 1:30PM - 2:20PM

Sakellaridis, Yiannis

Shaffer 3

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.109 (02)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Sakellaridis, Yiannis

Shaffer 3

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.109 (03)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Sakellaridis, Yiannis

Shaffer 3

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.109 (04)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Sakellaridis, Yiannis

Shaffer 3

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.109 (05)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, Th 1:30PM - 2:20PM

Sakellaridis, Yiannis

Shaffer 3

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.109 (06)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, Th 3:00PM - 3:50PM

Sakellaridis, Yiannis

Shaffer 3

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.109 (07)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM

Sakellaridis, Yiannis

Shaffer 3

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.109 (08)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, Th 6:00PM - 6:50PM

Sakellaridis, Yiannis

Shaffer 3

Spring 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.201 (01)

Linear Algebra

MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Li, Huajie

Hodson 210

Spring 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (02)

Linear Algebra

MWF 10:00AM - 10:50AM, T 1:30PM - 2:20PM

Li, Huajie

Hodson 210

Spring 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (03)

Linear Algebra

MWF 10:00AM - 10:50AM, Th 3:00PM - 3:50PM

Li, Huajie

Hodson 210

Spring 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (05)

Linear Algebra

MWF 11:00AM - 11:50AM, T 1:30PM - 2:20PM

Cutrone, Joseph W

Shaffer 301

Spring 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (06)

Linear Algebra

MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Cutrone, Joseph W

Shaffer 301

Spring 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (07)

Linear Algebra

MWF 11:00AM - 11:50AM, Th 3:00PM - 3:50PM

Cutrone, Joseph W

Shaffer 301

Spring 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (08)

Linear Algebra

MWF 11:00AM - 11:50AM, Th 4:30PM - 5:20PM

Cutrone, Joseph W

Shaffer 301

Spring 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.202 (01)

Calculus III

MWF 11:00AM - 11:50AM, T 3:00PM - 3:50PM

Bernstein, Jacob

Krieger 205

Spring 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (02)

Calculus III

MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Bernstein, Jacob

Krieger 205

Spring 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (03)

Calculus III

MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Bernstein, Jacob

Krieger 205

Spring 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (04)

Calculus III

MWF 11:00AM - 11:50AM, Th 3:00PM - 3:50PM

Bernstein, Jacob

Krieger 205

Spring 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (05)

Calculus III

MWF 11:00AM - 11:50AM, Th 4:30PM - 5:20PM

Bernstein, Jacob

Krieger 205

Spring 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (06)

Calculus III

MWF 12:00PM - 12:50PM, T 3:00PM - 3:50PM

Bernstein, Jacob

Krieger 205

Spring 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (07)

Calculus III

MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM

Bernstein, Jacob

Krieger 205

Spring 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (08)

Calculus III

MWF 12:00PM - 12:50PM, Th 3:00PM - 3:50PM

Bernstein, Jacob

Krieger 205

Spring 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (09)

Calculus III

MWF 12:00PM - 12:50PM, Th 6:00PM - 6:50PM

Bernstein, Jacob

Krieger 205

Spring 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.211 (01)

Honors Multivariable Calculus

MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Shumakovitch, Alexander N

Maryland 202

Spring 2024

This course includes the material in AS.110.202 with some additional applications and theory. Recommended for mathematically able students majoring in physical science, engineering, or especially mathematics. AS.110.211-AS.110.212 used to be an integrated yearlong course, but now the two are independent courses and can be taken in either order.

AS.110.212 (01)

Honors Linear Algebra

MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Dalal, Rahul

Shriver Hall 001

Spring 2024

This course includes the material in AS.110.201 with additional applications and theory, and is recommended only for mathematically able students majoring in physical science, engineering, or mathematics who are interested in a proof-based version of linear algebra. This course can serve as an Introduction to Proofs (IP) course.
Prerequisites: Grade of B+ or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.301 (01)

Introduction to Proofs

MW 3:00PM - 4:15PM, F 3:00PM - 3:50PM

Hazratpour, Sina

Spring 2024

This course will provide a practical introduction to mathematical proofs with the aim of developing fluency in the language of mathematics, which itself is often described as “the language of the universe.” Along with a library of proof techniques, we shall tour propositional logic, set theory, cardinal arithmetic, and metric topology and explore “proof relevant” mathematics by interacting with a computer proof assistant. This course on the construction of mathematical proof will conclude with a deconstruction of mathematical proof, interrogating the extent to which proof serves as a means to discover universal truths and assessing the mechanisms by which the mathematical community achieves consensus regarding whether a claimed result has been proven.

AS.110.302 (01)

Differential Equations and Applications

MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM

Restrepo Montoya, Daniel Eduardo

Olin 305

Spring 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.302 (02)

Differential Equations and Applications

MWF 12:00PM - 12:50PM, Th 3:00PM - 3:50PM

Restrepo Montoya, Daniel Eduardo

Olin 305

Spring 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.302 (03)

Differential Equations and Applications

MWF 12:00PM - 12:50PM, Th 4:30PM - 5:20PM

Restrepo Montoya, Daniel Eduardo

Olin 305

Spring 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.302 (04)

Differential Equations and Applications

MWF 12:00PM - 12:50PM, Th 6:00PM - 6:50PM

Restrepo Montoya, Daniel Eduardo

Olin 305

Spring 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.302 (05)

Differential Equations and Applications

MWF 1:30PM - 2:20PM, T 3:00PM - 3:50PM

Restrepo Montoya, Daniel Eduardo

Shaffer 300

Spring 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.302 (06)

Differential Equations and Applications

MWF 1:30PM - 2:20PM, T 4:30PM - 5:20PM

Restrepo Montoya, Daniel Eduardo

Shaffer 300

Spring 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.303 (88)

The Mathematics of Politics, Democracy, and Social Choice

Ratigan, Christopher J

Spring 2024

This course is designed for students of all backgrounds to provide a mathematical introduction to
social choice theory, weighted voting systems, apportionment methods, and gerrymandering. In
the search for ideal ways to make certain kinds of political decisions, a lot of wasted effort could
be averted if mathematics could determine that finding such an ideal were actually possible in the
first place. The course will analyze data from recent US elections as well as provide historical
context to modern discussions in politics, culminating in a mathematical analysis of the US
Electoral College. Case studies, future implications, and comparisons to other governing bodies
outside the US will be used to apply the theory of the course. Students will use Microsoft Excel to
analyze data sets. There are no mathematical prerequisites for this course.

AS.110.304 (01)

Elementary Number Theory

TTh 9:00AM - 10:15AM, F 9:00AM - 9:50AM

Kitchloo, Nitya

Bloomberg 276

Spring 2024

The student is provided with many historical examples of topics, each of which serves as an illustration of and provides a background for many years of current research in number theory. Primes and prime factorization, congruences, Euler's function, quadratic reciprocity, primitive roots, solutions to polynomial congruences (Chevalley's theorem), Diophantine equations including the Pythagorean and Pell equations, Gaussian integers, Dirichlet's theorem on primes.

AS.110.311 (01)

Methods of Complex Analysis

TTh 12:00PM - 1:15PM, F 12:00PM - 12:50PM

Mese, CHIKAKO

Maryland 104

Spring 2024

This course is an introduction to the theory of functions of one complex variable. Its emphasis is on techniques and applications, and it serves as a basis for more advanced courses. Functions of a complex variable and their derivatives; power series and Laurent expansions; Cauchy integral theorem and formula; calculus of residues and contour integrals; harmonic functions.

AS.110.401 (01)

Introduction to Abstract Algebra

MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM

Gregoric, Rok

Maryland 104

Spring 2024

An introduction to the basic notions of modern abstract algebra and can serve as as Introduction to Proofs (IP) course. This course is an introduction to group theory, with an emphasis on concrete examples, and especially on geometric symmetry groups. The course will introduce basic notions (groups, subgroups, homomorphisms, quotients) and prove foundational results (Lagrange's theorem, Cauchy's theorem, orbit-counting techniques, the classification of finite abelian groups). Examples to be discussed include permutation groups, dihedral groups, matrix groups, and finite rotation groups, culminating in the classification of the wallpaper groups.
Prerequisites: Grade of C- or better in 110.201 or 110.212
Area: Quantitative and Mathematical Sciences.

AS.110.405 (01)

Real Analysis I

MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Wang, Xiong

Ames 218

Spring 2024

This course is designed to give a firm grounding in the basic tools of analysis. It is recommended as preparation (but may not be a prerequisite) for other advanced analysis courses and may be taken as an Introduction to Proofs (IP) course. Topics include the formal properties of real and complex number systems, topology of metric spaces, limits, continuity, infinite sequences and series, differentiation, Riemann-Stieltjes integration.
Prerequisites: Grade of C- or better in 110.201 or 110.212 and 110.202 or 110.211

AS.110.406 (01)

Real Analysis II

MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Wang, Yi

Spring 2024

This course continues AS.110.405 with an emphasis on the fundamental notions of modern analysis. Sequences and series of functions, Fourier series, equicontinuity and the Arzela-Ascoli theorem, the Stone-Weierstrass theorem, functions of several variables, the inverse and implicit function theorems, introduction to the Lebesgue integral.

AS.110.412 (01)

Honors Algebra II

MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM

Weinberger, Jonathan Maximilian Lajos

Hodson 315

Spring 2024

This is a continuation of 110.411 Honors Algebra I. Topics studies include principal ideal domains, structure of finitely generated modules over them. Introduction to field theory. Linear algebra over a field. Field extensions, constructible polygons, non-trisectability. Splitting field of a polynomial, algebraic closure of a field. Galois theory: correspondence between subgroups and subfields. Solvability of polynomial equations by radicals. Prerequisites: Grade of C- or better in 110.201 or 110.212.
Area: Quantitative and Mathematical Sciences.

AS.110.413 (01)

Introduction to Topology

TTh 10:30AM - 11:45AM, Th 4:30PM - 5:20PM

Verdugo, Paula

Krieger 170

Spring 2024

Topological spaces, connectedness, compactness, quotient spaces, metric spaces, function spaces. An introduction to algebraic topology: covering spaces, the fundamental group, and other topics as time permits.

AS.110.416 (01)

Honors Analysis II

MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Zhao, Zihui

Bloomberg 178

Spring 2024

Lebesgue integration and differentiation. Elementary Hilbert and Banach space theory. Baire category theorem. Continuation of AS.110.415, introduction to real analysis.

AS.110.417 (01)

Partial Differential Equations

TTh 12:00PM - 1:15PM

Wang, Xiong

Hodson 301

Spring 2024

This course is aimed at a first exposure to the theory of Partial Differential Equations by examples. Basic examples of PDEs (Boundary value problems and initial value problems): Laplace equation, heat equation and wave equation. Method of separation of variables. Fourier series. Examples of wave equations in one and two dimensions. Sturm-Liouville eigenvalue problems and generalized Fourier series. Self-adjoint operators and applications to problems in higher dimensions. Nonhomogeneous PDEs. Green's functions and fundamental solution for the heat equation. Prerequisites:Calculus III. Recommended: 110.405 or 110.415.

AS.110.421 (01)

Dynamical Systems

TTh 3:00PM - 4:15PM

Brown, Richard

Maryland 104

Spring 2024

This is a course in the modern theory of Dynamical Systems. Topic include both discrete (iterated maps) and continuous (differential equations) dynamical systems and focuses on the qualitative structure of the system in developing properties of solutions. Topics include contractions, interval and planar maps, linear and nonlinear ODE systems including bifurcation theory, recurrence, transitivity and mixing, phase volume preservation as well as chaos theory, fractional dimension and topological entropy. May be taken as an Introduction to Proofs (IP) course.
Prerequisites: Grade of C- or better in 110.201 or 110.212 OR 110.202 or 110.211 and 110.302
Area: Quantitative and Mathematical Sciences

AS.110.445 (01)

Mathematical and Computational Foundations of Data Science

TTh 12:00PM - 1:15PM

Maggioni, Mauro

Shaffer 300

Spring 2024

We will cover several topics in the mathematical and computational foundations of Data Science. The emphasis is on fundamental mathematical ideas (basic functional analysis, reproducing kernel Hilbert spaces, concentration inequalities, uniform central limit theorems), basic statistical modeling techniques (e.g. linear regression, parametric and non-parametric methods), basic machine learning techniques for unsupervised (e.g. clustering, manifold learning), supervised (classification, regression), and semi-supervised learning, and corresponding computational aspects (linear algebra, basic linear and nonlinear optimization to attack the problems above). Applications will include statistical signal processing, imaging, inverse problems, graph processing, and problems at the intersection of statistics/machine learning and physical/dynamical systems (e.g. model reduction for stochastic dynamical systems).

AS.110.100 (41)

Data Analytics Workshop

Zoll, Aaron Joshua

Summer 2024

In this two-week pre-college program, students work in groups to construct and present a data analysis project which collects, organizes, cleanses, and visualizes a dataset of their choosing. Topics include exploratory data analysis, data visualization, probability distributions, data scraping and cleansing, the basics of hypothesis testing, and regression modeling. Students will primarily use Microsoft Excel. Programs like Octave (Matlab), and Octoparse, will also be introduced to help students learn the basics of data analytics.

AS.110.100 (51)

Data Analytics Workshop

Zoll, Aaron Joshua

Summer 2024

In this two-week pre-college program, students work in groups to construct and present a data analysis project which collects, organizes, cleanses, and visualizes a dataset of their choosing. Topics include exploratory data analysis, data visualization, probability distributions, data scraping and cleansing, the basics of hypothesis testing, and regression modeling. Students will primarily use Microsoft Excel. Programs like Octave (Matlab), and Octoparse, will also be introduced to help students learn the basics of data analytics.

AS.110.100 (61)

Data Analytics Workshop

Zoll, Aaron Joshua

Summer 2024

In this two-week pre-college program, students work in groups to construct and present a data analysis project which collects, organizes, cleanses, and visualizes a dataset of their choosing. Topics include exploratory data analysis, data visualization, probability distributions, data scraping and cleansing, the basics of hypothesis testing, and regression modeling. Students will primarily use Microsoft Excel. Programs like Octave (Matlab), and Octoparse, will also be introduced to help students learn the basics of data analytics.

AS.110.102 (88)

College Algebra

Gaines, Alexa D; Ross, Lauren Elizabeth

Summer 2024

This introductory course will create a foundational understanding of topics in Algebra. An emphasis will be on applications to prepare students for future courses like Precalculus or Statistics. After a review of elementary algebra concepts, topics covered include: equations and inequalities, linear equations, exponents and polynomials, factoring, rational expressions and equations, relations and functions, radicals, linear and quadratic equations, higher-degree polynomials, exponential, logarithmic, and rational functions.

AS.110.105 (21)

Precalculus

MTWTh 1:00PM - 3:30PM

Cutrone, Joseph W

Bloomberg 272

Summer 2024

This course provides students with the background necessary for the study of calculus. It begins with a review of the coordinate plane, linear equations, and inequalities, and moves purposefully into the study of functions. Students will explore the nature of graphs and deepen their understanding of polynomial, rational, trigonometric, exponential, and logarithmic functions, and will be introduced to complex numbers, parametric equations, and the difference quotient.

AS.110.105 (88)

Precalculus

Gaines, Alexa D

Summer 2024

This course provides students with the background necessary for the study of calculus. It begins with a review of the coordinate plane, linear equations, and inequalities, and moves purposefully into the study of functions. Students will explore the nature of graphs and deepen their understanding of polynomial, rational, trigonometric, exponential, and logarithmic functions, and will be introduced to complex numbers, parametric equations, and the difference quotient.

AS.110.107 (88)

Calculus II (For Biology and Social Science)

Bridgman, Terry

Summer 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.108 (21)

Calculus I (Physical Sciences & Engineering)

MTWTh 9:00AM - 11:30AM

Kumar, Aditya

Krieger 205

Summer 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.108 (88)

Calculus I (Physical Sciences & Engineering)

Clayton, Amanda M

Summer 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.109 (88)

Calculus II (Physical Sciences & Engineering)

Cutrone, Joseph W

Summer 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.110 (66)

Foundational Mathematics of Artificial Intelligence

MTWThF 9:30AM - 4:00PM

Sukurdeep, Yashil

Hodson 216

Summer 2024

As artificial intelligence models like ChatGPT become increasingly capable and part of our everyday life, the need to understand their inner workings intensifies. This course introduces the mathematical and statistical principles behind machine learning and AI technologies. Students will assimilate basic concepts including math models and performance measurement. They will apply software to build machine learning applications that serve as AI building blocks including linear regression, classification trees, neural networks, and reinforcement learning. Participants will be challenged to assess the quality of their analyses to better understand the opportunities for, and the limitations of AI.

AS.110.110 (71)

Foundational Mathematics of Artificial Intelligence

MTWThF 9:30AM - 4:00PM

Murphy, Kenneth

Hodson 216

Summer 2024

As artificial intelligence models like ChatGPT become increasingly capable and part of our everyday life, the need to understand their inner workings intensifies. This course introduces the mathematical and statistical principles behind machine learning and AI technologies. Students will assimilate basic concepts including math models and performance measurement. They will apply software to build machine learning applications that serve as AI building blocks including linear regression, classification trees, neural networks, and reinforcement learning. Participants will be challenged to assess the quality of their analyses to better understand the opportunities for, and the limitations of AI.

AS.110.110 (76)

Foundational Mathematics of Artificial Intelligence

MTWThF 9:30AM - 4:00PM

Sukurdeep, Yashil

Hodson 216

Summer 2024

As artificial intelligence models like ChatGPT become increasingly capable and part of our everyday life, the need to understand their inner workings intensifies. This course introduces the mathematical and statistical principles behind machine learning and AI technologies. Students will assimilate basic concepts including math models and performance measurement. They will apply software to build machine learning applications that serve as AI building blocks including linear regression, classification trees, neural networks, and reinforcement learning. Participants will be challenged to assess the quality of their analyses to better understand the opportunities for, and the limitations of AI.

AS.110.111 (71)

Math Modelling: Preparing for Calculus

MTWThF 1:15PM - 2:30PM

Braley, Emily

Maryland 110

Summer 2024

This course is designed to challenge students to apply concepts and skills needed for AS.110.105, 106 or 108 (precalculus and calculus I at Hopkins) in project-based modeling problems. The course will center on two projects with the following focii: (1) linear models, graphing linear equations, interpreting slope and intercept and applying these concepts and (2) exponential models, graphing exponential functions, interpreting initial values and growth/decay factors and applying these concepts.

AS.110.111 (76)

Math Modelling: Preparing for Advanced Mathematics

MTWThF 1:15PM - 2:30PM

Braley, Emily

Maryland 110

Summer 2024

This course is designed to challenge students to apply concepts and skills needed for AS.110.201 and 202(Calc III and Linear Algebra at Hopkins)in project-based modeling problems.The course will center on two projects with the following focii: (1) linear regression and(2)demographic modeling with matrices.

AS.110.112 (94)

SPARK: Mathematics

Griffin, Catrish

Summer 2024

This Summer Program Advancing Readiness and Knowledge allows incoming students to work through learning modules in the preparation and learning platform ALEKS with the support of a near-peer network. Students will participate synchronously and asynchronously over a two-week period.

AS.110.125 (88)

Introduction to Data Analysis

Gaines, Alexa D

Summer 2024

This online course introduces students to important concepts in data analytics across a wide range of case studies. Students will learn how to gather, analyze, and interpret data to drive strategic and operational success. They will explore how to clean and organize data for analysis, and how to perform calculations using Microsoft Excel. Topics include the data science lifecycle, probability, statistics, hypothesis testing, set theory, graphing, regression, and data ethics.

AS.110.126 (21)

Mathematics for Sustainability

MTWTh 9:00AM - 11:30AM

Pezzi, Daniel Joseph

Maryland 110

Summer 2024

Mathematics for Sustainability covers topics in measurement, probability, statistics, dynamics, and data analysis. In this course, students will analyze, visually represent, and interpret large, real data sets from a variety of government, corporate, and non-profit sources. Through local and global case studies, students will engage in the mathematics behind environmental sustainability issues and the debates centered on them. Topics include climate change, natural resource use, waste production, air and water pollution, water scarcity, and decreasing biodiversity. The software package R is used throughout the semester.

AS.110.201 (88)

Linear Algebra

Marshburn, Nicholas A

Summer 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.202 (21)

Calculus III

MTWTh 1:00PM - 3:30PM

Shumakovitch, Alexander N

Krieger 205

Summer 2024

Calculus of Several Variables. Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (88)

Calculus III

Christiansen, Teri E

Summer 2024

Non-JHU students must register by June 1 in order to participate in the course. Calculus of Several Variables. Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.205 (88)

Mathematics of Data Science

Ratigan, Christopher J

Summer 2024

This course is designed for students of all backgrounds to provide a solid foundation in the underlying mathematical, programming, and statistical theory of data analysis. In today's data driven world, data literacy is an increasingly important skill to master. To this end, the course will motivate the fundamental concepts used in this growing field. While discussing the general theory behind common methods of data science there will be numerous applications to real world data sets. In particular, the course will use Python libraries to create, import, and analyze data sets.

AS.110.275 (88)

Introduction to Probability

Marshburn, Nicholas A

Summer 2024

This course follows the actuarial Exam P syllabus and learning objectives to prepare students to pass the SOA/CAS Probability Exam. Topics include axioms of probability, discrete and continuous random variables, conditional probability, Bayes’ theorem, Chebyshev's Theorem, Central Limit Theorem, univariate and joint distributions and expectations, loss frequency, loss severity and other risk management concepts. Exam P learning objectives and learning outcomes are emphasized. Recommended Course Background: Calculus II

AS.110.276 (88)

Introduction to Financial Mathematics

Nichols, Bradford Scott

Summer 2024

This course is designed to develop students' understanding of fundamental concepts of financial mathematics. The course will cover mathematical theory and applications including the time value of money, annuities and cash flows, bond pricing, loans, amortization, stock and portfolio pricing, immunization of portfolios, swaps and determinants of interest rates, asset matching and convexity. A basic knowledge of calculus and an introductory knowledge of probability is assumed.

AS.110.301 (88)

Introduction to Proofs

Goldstein, Erich A

Summer 2024

This course will provide a practical introduction to mathematical proof, both as they have been done for centuries, and using a modern technological theorem prover. The course begins with the basic building blocks of mathematics: propositional logic, set theory, functions, and relations. These foundational tools lead to answers to questions that are surprisingly difficult, like “what are numbers?” Students will be exposed to mathematical notation and how to create it in digital documents, as well as an “artificially intelligent” proof assistant. The course will conclude with a consideration of the role of A.I. in pure mathematics, particularly as it applies to proofs.

AS.110.302 (88)

Differential Equations with Applications

Marshburn, Nicholas A

Summer 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.303 (88)

The Mathematics of Politics, Democracy, and Social Choice

Ratigan, Christopher J

Summer 2024

This course is designed for students of all backgrounds to provide a mathematical introduction to
social choice theory, weighted voting systems, apportionment methods, and gerrymandering. In
the search for ideal ways to make certain kinds of political decisions, a lot of wasted effort could
be averted if mathematics could determine that finding such an ideal were actually possible in the
first place. The course will analyze data from recent US elections as well as provide historical
context to modern discussions in politics, culminating in a mathematical analysis of the US
Electoral College. Case studies, future implications, and comparisons to other governing bodies
outside the US will be used to apply the theory of the course. Students will use Microsoft Excel to
analyze data sets. There are no mathematical prerequisites for this course.

AS.110.401 (88)

Introduction to Abstract Algebra

Marshburn, Nicholas A

Summer 2024

An introduction to the basic notions of modern abstract algebra and can serve as as Introduction to Proofs (IP) course. This course is an introduction to group theory, with an emphasis on concrete examples, and especially on geometric symmetry groups. The course will introduce basic notions (groups, subgroups, homomorphisms, quotients) and prove foundational results (Lagrange's theorem, Cauchy's theorem, orbit-counting techniques, the classification of finite abelian groups). Examples to be discussed include permutation groups, dihedral groups, matrix groups, and finite rotation groups, culminating in the classification of the wallpaper groups.
Prerequisites: Grade of C- or better in 110.201 or 110.212
Area: Quantitative and Mathematical Sciences.

AS.110.405 (88)

Real Analysis I

Marino, Jeffrey Robert

Summer 2024

This course is designed to give a firm grounding in the basic tools of analysis. It is recommended as preparation (but may not be a prerequisite) for other advanced analysis courses and may be taken as an Introduction to Proofs (IP) course. Topics include the formal properties of real and complex number systems, topology of metric spaces, limits, continuity, infinite sequences and series, differentiation, Riemann-Stieltjes integration.
Prerequisites: Grade of C- or better in 110.201 or 110.212 and 110.202 or 110.211

AS.001.184 (01)

FYS: The Mathematics of Politics, Democracy, and Social Choice

TTh 1:30PM - 2:45PM

Cutrone, Joseph W

Krieger Laverty

Fall 2024

This First-Year Seminar is designed for students of all backgrounds to provide a mathematical introduction to social choice theory, weighted voting systems, apportionment methods, and gerrymandering. In the search for ideal ways to make certain kinds of political decisions, a lot of wasted effort could be averted if mathematics could determine that finding such an ideal were actually possible in the first place. The seminar will analyze data from recent US elections as well as provide historical context to modern discussions in politics, culminating in a mathematical analysis of the US Electoral College. Case studies, future implications, and comparisons to other governing bodies outside the US will be used to apply the theory of the course. Students will use Microsoft Excel to analyze data sets. There are no mathematical prerequisites for this course.

AS.110.105 (01)

Precalculus

MWF 9:00AM - 9:50AM, T 4:30PM - 5:20PM

Ahmed, Mikail Yunus

Hodson 211

Fall 2024

This course provides students with the background necessary for the study of calculus. It begins with a review of the coordinate plane, linear equations, and inequalities, and moves purposefully into the study of functions. Students will explore the nature of graphs and deepen their understanding of polynomial, rational, trigonometric, exponential, and logarithmic functions, and will be introduced to complex numbers, parametric equations, and the difference quotient.

AS.110.106 (01)

Calculus I (Biology and Social Sciences)

MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Wentworth-Nice, Prairie

Remsen Hall 101

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.106 (02)

Calculus I (Biology and Social Sciences)

MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Wentworth-Nice, Prairie

Remsen Hall 101

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.106 (03)

Calculus I (Biology and Social Sciences)

MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Wentworth-Nice, Prairie

Remsen Hall 101

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.106 (05)

Calculus I (Biology and Social Sciences)

MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM

Wentworth-Nice, Prairie

Remsen Hall 101

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.106 (09)

Calculus I (Biology and Social Sciences)

MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Wentworth-Nice, Prairie

Remsen Hall 101

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.106 (10)

Calculus I (Biology and Social Sciences)

MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Wentworth-Nice, Prairie

Remsen Hall 101

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.106 (11)

Calculus I (Biology and Social Sciences)

MWF 11:00AM - 11:50AM, Th 3:00PM - 3:50PM

Wentworth-Nice, Prairie

Remsen Hall 101

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.106 (12)

Calculus I (Biology and Social Sciences)

MWF 11:00AM - 11:50AM, Th 4:30PM - 5:20PM

Wentworth-Nice, Prairie

Remsen Hall 101

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.

AS.110.107 (01)

Calculus II (For Biological and Social Science)

MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Campion, Tim Francis

Maryland 110

Fall 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.107 (02)

Calculus II (For Biological and Social Science)

MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Campion, Tim Francis

Maryland 110

Fall 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.107 (03)

Calculus II (For Biological and Social Science)

MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM

Campion, Tim Francis

Maryland 110

Fall 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.107 (04)

Calculus II (For Biological and Social Science)

MWF 10:00AM - 10:50AM, Th 6:00PM - 6:50PM

Campion, Tim Francis

Maryland 110

Fall 2024

Differential and integral Calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Applications to the biological and social sciences will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.108 (02)

Calculus I (Physical Sciences & Engineering)

MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Marshall-Stevens, Kobe

Hodson 210

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.108 (03)

Calculus I (Physical Sciences & Engineering)

MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM

Marshall-Stevens, Kobe

Hodson 210

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.108 (04)

Calculus I (Physical Sciences & Engineering)

MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Marshall-Stevens, Kobe

Hodson 210

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.108 (07)

Calculus I (Physical Sciences & Engineering)

MWF 11:00AM - 11:50AM, Th 6:00PM - 6:50PM

Marshall-Stevens, Kobe

Hodson 210

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

AS.110.109 (01)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Li, Huajie

Shaffer 301

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.109 (02)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Li, Huajie

Shaffer 301

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.109 (03)

Calculus II (For Physical Sciences and Engineering)

MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM

Li, Huajie

Shaffer 301

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.109 (04)

Calculus II (For Physical Sciences and Engineering)

MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Li, Huajie

Mergenthaler 111

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.109 (05)

Calculus II (For Physical Sciences and Engineering)

MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Li, Huajie

Mergenthaler 111

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.109 (07)

Calculus II (For Physical Sciences and Engineering)

MWF 11:00AM - 11:50AM, Th 4:30PM - 5:20PM

Li, Huajie

Mergenthaler 111

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.109 (08)

Calculus II (For Physical Sciences and Engineering)

MWF 11:00AM - 11:50AM, Th 6:00PM - 6:50PM

Li, Huajie

Mergenthaler 111

Fall 2024

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. Recommended Course Background: Grade of C- or Better in AS.110.106 or AS.110.108, or a 5 on the AP AB exam.

AS.110.201 (01)

Linear Algebra

MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM

Riehl, EMILY

Krieger 205

Fall 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (02)

Linear Algebra

MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM

Riehl, EMILY

Krieger 205

Fall 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (03)

Linear Algebra

MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM

Riehl, EMILY

Krieger 205

Fall 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (04)

Linear Algebra

MWF 10:00AM - 10:50AM, Th 3:00PM - 3:50PM

Riehl, EMILY

Krieger 205

Fall 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (05)

Linear Algebra

MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM

Riehl, EMILY

Krieger 205

Fall 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.201 (06)

Linear Algebra

MWF 10:00AM - 10:50AM, Th 6:00PM - 6:50PM

Riehl, EMILY

Krieger 205

Fall 2024

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

AS.110.202 (01)

Calculus III

MWF 11:00AM - 11:50AM, T 1:30PM - 2:20PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (02)

Calculus III

MWF 11:00AM - 11:50AM, T 3:00PM - 3:50PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (03)

Calculus III

MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (04)

Calculus III

MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (05)

Calculus III

MWF 11:00AM - 11:50AM, Th 3:00PM - 3:50PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (06)

Calculus III

MWF 11:00AM - 11:50AM, Th 4:30PM - 5:20PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (07)

Calculus III

MWF 11:00AM - 11:50AM, Th 6:00PM - 6:50PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (08)

Calculus III

MWF 12:00PM - 12:50PM, T 3:00PM - 3:50PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (09)

Calculus III

MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (10)

Calculus III

MWF 12:00PM - 12:50PM, T 6:00PM - 6:50PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (11)

Calculus III

MWF 12:00PM - 12:50PM, Th 3:00PM - 3:50PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (12)

Calculus III

MWF 12:00PM - 12:50PM, Th 4:30PM - 5:20PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (13)

Calculus III

MWF 12:00PM - 12:50PM, Th 6:00PM - 6:50PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.202 (14)

Calculus III

MWF 11:00AM - 11:50AM, Th 6:00PM - 6:50PM

Brown, Richard

Shaffer 3

Fall 2024

Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

AS.110.212 (01)

Honors Linear Algebra

MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Sakellaridis, Yiannis

Hodson 301

Fall 2024

This course includes the material in AS.110.201 with additional applications and theory, and is recommended only for mathematically able students majoring in physical science, engineering, or mathematics who are interested in a proof-based version of linear algebra. This course can serve as an Introduction to Proofs (IP) course.
Prerequisites: Grade of B+ or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.225 (01)

Problem Solving Lab

Th 3:00PM - 4:40PM

Chedalavada, Anish V

Bloomberg 178

Fall 2024

This course is an introduction to mathematical reason and formalism in the context of mathematical problem solving, such as induction, invariants, inequalities and generating functions. This course does not satisfy any major requirement, and may be taken more than once for credit It is primarily used as training for the William Lowell Putnam Mathematics Competition.
Area: Quantitative and Mathematical Sciences.

AS.110.301 (01)

Introduction to Proofs

MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Rijke, Egbert

Fall 2024

This course will provide a practical introduction to mathematical proof, both as they have been done for centuries, and using a modern technological theorem prover. The course begins with the basic building blocks of mathematics: propositional logic, set theory, functions, and relations. These foundational tools lead to answers to questions that are surprisingly difficult, like “what are numbers?” Students will be exposed to mathematical notation and how to create it in digital documents, as well as an “artificially intelligent” proof assistant. The course will conclude with a consideration of the role of A.I. in pure mathematics, particularly as it applies to proofs.

AS.110.302 (01)

Differential Equations and Applications

MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM

Wu, Yueqiao

Maryland 110

Fall 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.302 (02)

Differential Equations and Applications

MWF 12:00PM - 12:50PM, Th 4:30PM - 5:20PM

Wu, Yueqiao

Maryland 110

Fall 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.302 (03)

Differential Equations and Applications

MWF 12:00PM - 12:50PM, Th 6:00PM - 6:50PM

Wu, Yueqiao

Maryland 110

Fall 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.302 (04)

Differential Equations and Applications

MWF 1:30PM - 2:20PM, T 3:00PM - 3:50PM

Wu, Yueqiao

Shaffer 303

Fall 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.302 (05)

Differential Equations and Applications

MWF 1:30PM - 2:20PM, T 4:30PM - 5:20PM

Wu, Yueqiao

Shaffer 303

Fall 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.302 (06)

Differential Equations and Applications

MWF 1:30PM - 2:20PM, Th 6:00PM - 6:50PM

Wu, Yueqiao

Shaffer 303

Fall 2024

This is a course in ordinary differential equations (ODEs), equations involving an unknown function of one independent variable and some of its derivatives, and is primarily a course in the study of the structure of and techniques for solving ODEs as mathematical models. Specific topics include first and second ODEs of various types, systems of linear differential equations, autonomous systems, and the qualitative and quantitative analysis of nonlinear systems of first-order ODEs. Laplace transforms, series solutions and the basics of numerical solutions are included as extra topics.
Prerequisites: Grade of C- or better in 110.107 or 110.109 or 110.113, or a 5 on the AP BC exam.
Area: Quantitative and Mathematical Sciences.

AS.110.303 (88)

The Mathematics of Politics, Democracy, and Social Choice

Ratigan, Christopher J

Fall 2024

This course is designed for students of all backgrounds to provide a mathematical introduction to
social choice theory, weighted voting systems, apportionment methods, and gerrymandering. In
the search for ideal ways to make certain kinds of political decisions, a lot of wasted effort could
be averted if mathematics could determine that finding such an ideal were actually possible in the
first place. The course will analyze data from recent US elections as well as provide historical
context to modern discussions in politics, culminating in a mathematical analysis of the US
Electoral College. Case studies, future implications, and comparisons to other governing bodies
outside the US will be used to apply the theory of the course. Students will use Microsoft Excel to
analyze data sets. There are no mathematical prerequisites for this course.

AS.110.304 (01)

Elementary Number Theory

TTh 9:00AM - 10:15AM, F 9:00AM - 9:50AM

Sunohara, Matthew Tyler Toyoharu

Maryland 104

Fall 2024

The student is provided with many historical examples of topics, each of which serves as an illustration of and provides a background for many years of current research in number theory. Primes and prime factorization, congruences, Euler's function, quadratic reciprocity, primitive roots, solutions to polynomial congruences (Chevalley's theorem), Diophantine equations including the Pythagorean and Pell equations, Gaussian integers, Dirichlet's theorem on primes.

AS.110.311 (01)

Methods of Complex Analysis

TTh 12:00PM - 1:15PM, Th 4:30PM - 5:20PM

Wang, Yi

Ames 234

Fall 2024

This course is an introduction to the theory of functions of one complex variable. Its emphasis is on techniques and applications, and it serves as a basis for more advanced courses. Functions of a complex variable and their derivatives; power series and Laurent expansions; Cauchy integral theorem and formula; calculus of residues and contour integrals; harmonic functions.

AS.110.401 (01)

Introduction to Abstract Algebra

MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM

Park, Chamsol

Bloomberg 172

Fall 2024

An introduction to the basic notions of modern abstract algebra and can serve as as Introduction to Proofs (IP) course. This course is an introduction to group theory, with an emphasis on concrete examples, and especially on geometric symmetry groups. The course will introduce basic notions (groups, subgroups, homomorphisms, quotients) and prove foundational results (Lagrange's theorem, Cauchy's theorem, orbit-counting techniques, the classification of finite abelian groups). Examples to be discussed include permutation groups, dihedral groups, matrix groups, and finite rotation groups, culminating in the classification of the wallpaper groups.
Prerequisites: Grade of C- or better in 110.201 or 110.212
Area: Quantitative and Mathematical Sciences.

AS.110.405 (01)

Real Analysis I

MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Shumakovitch, Alexander N

Shaffer 2

Fall 2024

This course is designed to give a firm grounding in the basic tools of analysis. It is recommended as preparation (but may not be a prerequisite) for other advanced analysis courses and may be taken as an Introduction to Proofs (IP) course. Topics include the formal properties of real and complex number systems, topology of metric spaces, limits, continuity, infinite sequences and series, differentiation, Riemann-Stieltjes integration.
Prerequisites: Grade of C- or better in 110.201 or 110.212 and 110.202 or 110.211

AS.110.407 (01)

Honors Complex Analysis

TTh 12:00PM - 1:15PM

Gregoric, Rok

Maryland 217

Fall 2024

AS.110.407. Honors Complex Analysis. 4.00 Credits.
This course is an introduction to the theory of functions of one complex variable for honors students. Its emphasis is on techniques and applications, and can serve as an Introduction to Proofs (IP) course. Topics will include functions of a complex variable and their derivatives; power series and Laurent expansions; Cauchy integral theorem and formula; calculus of residues and contour integrals; harmonic functions, as well as applications to number theory and harmonic analysis.
Area: Quantitative and Mathematical Sciences.
This is not an Introduction to Proofs course (IP) and may not be taken as a first proof-based mathematics course except at the discretion of the instructor. This course satisfies a core requirement of the mathematics major as a second analysis course, and is a core requirement for honors in the major.

AS.110.411 (01)

Honors Algebra I

MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM

Meng, Fanjun

Maryland 104

Fall 2024

An introduction to the basic notions of modern algebra for students with some prior acquaintance with abstract mathematics. Elements of group theory: groups, subgroups, normal subgroups, quotients, homomorphisms. Generators and relations, free groups, products, abelian groups, finite groups. Groups acting on sets, the Sylow theorems. Definition and examples of rings and ideals.

AS.110.412 (88)

Honors Algebra II

Nakade, Apurva

Fall 2024

This is a continuation of 110.411 Honors Algebra I. Topics studies include principal ideal domains, structure of finitely generated modules over them. Introduction to field theory. Linear algebra over a field. Field extensions, constructible polygons, non-trisectability. Splitting field of a polynomial, algebraic closure of a field. Galois theory: correspondence between subgroups and subfields. Solvability of polynomial equations by radicals. Prerequisites: Grade of C- or better in 110.201 or 110.212.
Area: Quantitative and Mathematical Sciences.

AS.110.413 (88)

Introduction To Topology

Ross, Lauren Elizabeth

Fall 2024

Topological spaces, connectedness, compactness, quotient spaces, metric spaces, function spaces. An introduction to algebraic topology: covering spaces, the fundamental group, and other topics as time permits.

AS.110.415 (01)

Honors Analysis I

MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM

Maggioni, Mauro

Maryland 217

Fall 2024

This highly theoretical sequence in analysis is reserved for the most able students. The sequence covers the real number system, metric spaces, basic functional analysis, the Lebesgue integral, and other topics.

AS.110.422 (01)

Representation Theory

MW 4:30PM - 5:45PM

Khovanov, Mikhail

Gilman 400

Fall 2024

This course will focus on the basic theory of representations of finite groups in characteristic zero: Schur's Lemma, Mashcke's Theorem and complete reducibility, character tables and orthogonality, direct sums and tensor products. The main examples we will try to understand are the representation theory of the symmetric group and the general linear group over a finite field. If time permits, the theory of Brauer characters and modular representations will be introduced.

AS.110.439 (01)

Introduction To Differential Geometry

TTh 1:30PM - 2:45PM

Restrepo Montoya, Daniel Eduardo

Maryland 104

Fall 2024

Theory of curves and surfaces in Euclidean space: Frenet equations, fundamental forms, curvatures of a surface, theorems of Gauss and Mainardi-Codazzi, curves on a surface; introduction to tensor analysis and Riemannian geometry; theorema egregium; elementary global theorems.