Undergraduate Courses | Mathematics | Johns Hopkins University

Mathematics > Undergraduate > Undergraduate Courses

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:

course descriptions,
choosing your first math course,
choosing courses after your first semester,
and frequently asked questions about certain courses.

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

Course # (Section)	Title	Day/Times	Instructor	Location	Term	Course Details
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.
AS.110.102 (88)	College Algebra		Gaines, Alexa D; Ross, Lauren Elizabeth		Spring 2025	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 (88)	Precalculus		Gaines, Alexa D		Spring 2025	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 4:30PM - 5:20PM	Brown, Richard	Krieger 205	Spring 2025	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, Th 3:00PM - 3:50PM	Brown, Richard	Krieger 205	Spring 2025	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 4:30PM - 5:20PM	Brown, Richard	Krieger 205	Spring 2025	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 9:00AM - 9:50AM, T 9:00AM - 9:50AM	Wentworth-Nice, Prairie	Remsen Hall 101	Spring 2025	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 9:00AM - 9:50AM, T 4:30PM - 5:20PM	Wentworth-Nice, Prairie	Remsen Hall 101	Spring 2025	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 9:00AM - 9:50AM, T 6:00PM - 6:50PM	Wentworth-Nice, Prairie	Remsen Hall 101	Spring 2025	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 9:00AM - 9:50AM, Th 1:30PM - 2:20PM	Wentworth-Nice, Prairie	Remsen Hall 101	Spring 2025	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 9:00AM - 9:50AM, Th 3:00PM - 3:50PM	Wentworth-Nice, Prairie	Remsen Hall 101	Spring 2025	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 11:00AM - 11:50AM, Th 1:30PM - 2:20PM	Wentworth-Nice, Prairie	Remsen Hall 101	Spring 2025	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 4:30PM - 5:20PM	Wentworth-Nice, Prairie	Remsen Hall 101	Spring 2025	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 (08)	Calculus II (For Biological and Social Science)	MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM	Wentworth-Nice, Prairie	Remsen Hall 101	Spring 2025	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, Th 3:00PM - 3:50PM	Wentworth-Nice, Prairie	Remsen Hall 101	Spring 2025	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, Th 7:00PM - 7:50PM	Wentworth-Nice, Prairie	Remsen Hall 101	Spring 2025	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.110.108 (88)	Calculus I (For Physical Sciences and Engineering)		Clayton, Amanda M		Spring 2025	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 8:00AM - 8:50AM	Cutrone, Joseph W	Maryland 110	Spring 2025	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 6:00PM - 6:50PM	Cutrone, Joseph W	Maryland 110	Spring 2025	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, Th 1:30PM - 2:20PM	Cutrone, Joseph W	Maryland 110	Spring 2025	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 3:00PM - 3:50PM, T 3:00PM - 3:50PM	Im, Mee Seong	Hodson 210	Spring 2025	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 3:00PM - 3:50PM, T 7:00PM - 7:50PM	Im, Mee Seong	Hodson 210	Spring 2025	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 3:00PM - 3:50PM, Th 4:30PM - 5:20PM	Im, Mee Seong	Hodson 210	Spring 2025	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 (For Physical Sciences and Engineering)		Clayton, Amanda M		Spring 2025	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.110.125 (88)	Introduction to Data Analysis		Gaines, Alexa D		Spring 2025	This course introduces students to important concepts in data analytics using a hands-on analysis through case studies. Students will learn how to gather, analyze, and interpret data to drive strategic and operational success. Students will explore how to clean and organize data for analysis and how to perform calculations using spreadsheets, SQL and R programming. Topics include the data lifecycle, probability, statistics, hypothesis testing, set theory, graphing, regression, and data ethics.
AS.110.201 (01)	Linear Algebra	MWF 9:00AM - 9:50AM, T 1:30PM - 2:20PM	Gregoric, Rok	Krieger 205	Spring 2025	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 9:00AM - 9:50AM, T 4:30PM - 5:20PM	Gregoric, Rok	Krieger 205	Spring 2025	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 9:00AM - 9:50AM, Th 8:00PM - 8:50PM	Gregoric, Rok	Krieger 205	Spring 2025	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 9:00AM - 9:50AM, Th 4:30PM - 5:20PM	Gregoric, Rok	Krieger 205	Spring 2025	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 12:00PM - 12:50PM, T 1:30PM - 2:20PM	Gregoric, Rok	Krieger 205	Spring 2025	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 12:00PM - 12:50PM, T 3:00PM - 3:50PM	Gregoric, Rok	Krieger 205	Spring 2025	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 12:00PM - 12:50PM, Th 3:00PM - 3:50PM	Gregoric, Rok	Krieger 205	Spring 2025	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 12:00PM - 12:50PM, Th 6:00PM - 6:50PM	Gregoric, Rok	Krieger 205	Spring 2025	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 (88)	Linear Algebra		Marshburn, Nicholas A		Spring 2025	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	Corato Zanarella, Murilo	Krieger 205	Spring 2025	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 6:00PM - 6:50PM	Corato Zanarella, Murilo	Krieger 205	Spring 2025	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, Th 9:00AM - 9:50AM	Corato Zanarella, Murilo	Krieger 205	Spring 2025	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 4:30PM - 5:20PM	Corato Zanarella, Murilo	Krieger 205	Spring 2025	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 6:00PM - 6:50PM	Corato Zanarella, Murilo	Krieger 205	Spring 2025	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	Corato Zanarella, Murilo	Maryland 110	Spring 2025	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	Corato Zanarella, Murilo	Maryland 110	Spring 2025	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 4:30PM - 5:20PM	Corato Zanarella, Murilo	Maryland 110	Spring 2025	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	Corato Zanarella, Murilo	Maryland 110	Spring 2025	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		Spring 2025	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		Spring 2025	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.110.211 (01)	Honors Multivariable Calculus	MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM	Shumakovitch, Alexander N		Spring 2025	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	Sire, Yannick	Maryland 217	Spring 2025	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.110.275 (88)	Introduction to Probability		Marshburn, Nicholas A		Spring 2025	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.110.301 (01)	Introduction to Proofs	MW 3:00PM - 4:15PM, F 3:00PM - 3:50PM	Campion, Tim Francis		Spring 2025	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.110.301 (88)	Introduction to Proofs		Goldstein, Erich A		Spring 2025	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	Meng, Fanjun	Olin 305	Spring 2025	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	Meng, Fanjun	Olin 305	Spring 2025	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	Meng, Fanjun	Olin 305	Spring 2025	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	Meng, Fanjun	Olin 305	Spring 2025	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	Meng, Fanjun	Bloomberg 278	Spring 2025	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	Meng, Fanjun	Bloomberg 278	Spring 2025	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 (88)	Differential Equations and Applications		Marshburn, Nicholas A		Spring 2025	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 2025	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	Rijke, Egbert	Krieger 302	Spring 2025	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.110.304 (88)	Elementary Number Theory		Marshburn, Nicholas A		Spring 2025	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 309	Spring 2025	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.110.311 (88)	Methods of Complex Analysis		Goldstein, Erich A		Spring 2025	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.110.375 (88)	Introduction to Mathematical Cryptography		Ross, Lauren Elizabeth		Spring 2025	An Introduction to Mathematical Cryptography is an introduction to modern cryptography with an emphasis on the mathematics behind the theory of public key cryptosystems and digital signature schemes. The course develops the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Other topics central to mathematical cryptography covered are: classical cryptographic constructions, such as Diffie-Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures. Fundamental mathematical tools for cryptography studied include: primality testing, factorization algorithms, probability theory, information theory, and collision algorithms. A survey of important recent cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography are included as well. This course is an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography.
AS.110.401 (01)	Introduction to Abstract Algebra	MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM	Wu, Yueqiao	Maryland 217	Spring 2025	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.110.401 (88)	Introduction to Abstract Algebra		Marshburn, Nicholas A		Spring 2025	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	Bernstein, Jacob	Bloomberg 168	Spring 2025	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.110.405 (88)	Real Analysis I		Marino, Jeffrey Robert		Spring 2025	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	Zhao, Zihui	Bloomberg 178	Spring 2025	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.110.406 (88)	Real Analysis II		Marino, Jeffrey Robert		Spring 2025	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	Consani, Caterina (Katia)	Krieger 300	Spring 2025	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.110.412 (88)	Honors Algebra II		Nakade, Apurva		Spring 2025	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	Staff	Hodson 315	Spring 2025	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.110.413 (88)	Introduction To Topology		Ross, Lauren Elizabeth		Spring 2025	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	Sogge, Christopher Donald	Gilman 75	Spring 2025	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 3:00PM - 4:15PM	Lu, Fei	Croft Hall G02	Spring 2025	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.110.433 (01)	Introduction to Harmonic Analysis and Its Applications	MW 1:30PM - 2:20PM	Wang, Xiong		Spring 2025	The course is an introduction to methods in harmonic analysis, in particular Fourier series, Fourier integrals, and wavelets. These methods will be introduced rigorously, together with their motivations and applications to the analysis of basic partial differential equations and integral kernels, signal processing, inverse problems, and statistical/machine learning.
AS.110.441 (01)	Calculus on Manifolds	TTh 3:00PM - 4:15PM	Marshall-Stevens, Kobe	Krieger 205	Spring 2025	This course provides the tools for classical three-dimensional physics and mechanics. This course extends these techniques to the general locally Euclidean spaces (manifolds) needed for an understanding of such things as Maxwell's equations or optimization in higher dimensional contexts, eg. in economics. The course will cover the theory of differential forms and integration. Specific topics include Maxwell's equations in terms of 4D Lorentz geometry, vector (in particular, tangent) bundles, an introduction to de Rham theory, and Sard's theorem on the density of regular values of smooth functions. The course is intended to be useful to mathematics students interested in analysis, differential geometry, and topology, as well as to students in physics and economics.
AS.110.445 (01)	Mathematical and Computational Foundations of Data Science	MW 4:30PM - 5:45PM	Maggioni, Mauro	Ames 234	Spring 2025	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).

Data Analytics WorkshopAS.110.100 (41)

Data Analytics WorkshopAS.110.100 (51)

Data Analytics WorkshopAS.110.100 (61)

College AlgebraAS.110.102 (88)

PrecalculusAS.110.105 (21)

PrecalculusAS.110.105 (88)

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

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

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

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

Foundational Mathematics of Artificial IntelligenceAS.110.110 (66)

Foundational Mathematics of Artificial IntelligenceAS.110.110 (71)

Foundational Mathematics of Artificial IntelligenceAS.110.110 (76)

Math Modelling: Preparing for CalculusAS.110.111 (71)

Math Modelling: Preparing for Advanced MathematicsAS.110.111 (76)

SPARK: MathematicsAS.110.112 (94)

Introduction to Data AnalysisAS.110.125 (88)

Mathematics for SustainabilityAS.110.126 (21)

Linear AlgebraAS.110.201 (88)

Calculus IIIAS.110.202 (21)

Calculus IIIAS.110.202 (88)

Mathematics of Data ScienceAS.110.205 (88)

Introduction to ProbabilityAS.110.275 (88)

Introduction to Financial MathematicsAS.110.276 (88)

Introduction to ProofsAS.110.301 (88)

Differential Equations with ApplicationsAS.110.302 (88)

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

Introduction to Abstract AlgebraAS.110.401 (88)

Real Analysis IAS.110.405 (88)

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

PrecalculusAS.110.105 (01)

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

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

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

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

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

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

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Linear AlgebraAS.110.201 (02)

Linear AlgebraAS.110.201 (03)

Linear AlgebraAS.110.201 (04)

Linear AlgebraAS.110.201 (05)

Linear AlgebraAS.110.201 (06)

Calculus IIIAS.110.202 (01)

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Honors Linear AlgebraAS.110.212 (01)

Problem Solving LabAS.110.225 (01)

Introduction to ProofsAS.110.301 (01)

Differential Equations and ApplicationsAS.110.302 (01)

Differential Equations and ApplicationsAS.110.302 (02)

Differential Equations and ApplicationsAS.110.302 (03)

Data Analytics Workshop
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Data Analytics Workshop
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Data Analytics Workshop
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College Algebra
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Precalculus
AS.110.105 (21)

Precalculus
AS.110.105 (88)

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

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

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

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

Foundational Mathematics of Artificial Intelligence
AS.110.110 (66)

Foundational Mathematics of Artificial Intelligence
AS.110.110 (71)

Foundational Mathematics of Artificial Intelligence
AS.110.110 (76)

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

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

SPARK: Mathematics
AS.110.112 (94)

Introduction to Data Analysis
AS.110.125 (88)

Mathematics for Sustainability
AS.110.126 (21)

Linear Algebra
AS.110.201 (88)

Calculus III
AS.110.202 (21)

Calculus III
AS.110.202 (88)

Mathematics of Data Science
AS.110.205 (88)

Introduction to Probability
AS.110.275 (88)

Introduction to Financial Mathematics
AS.110.276 (88)

Introduction to Proofs
AS.110.301 (88)

Differential Equations with Applications
AS.110.302 (88)

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

Introduction to Abstract Algebra
AS.110.401 (88)

Real Analysis I
AS.110.405 (88)

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

Precalculus
AS.110.105 (01)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Linear Algebra
AS.110.201 (01)

Linear Algebra
AS.110.201 (02)

Linear Algebra
AS.110.201 (03)

Linear Algebra
AS.110.201 (04)

Linear Algebra
AS.110.201 (05)

Linear Algebra
AS.110.201 (06)

Calculus III
AS.110.202 (01)

Calculus III
AS.110.202 (02)

Calculus III
AS.110.202 (03)

Calculus III
AS.110.202 (04)

Calculus III
AS.110.202 (05)

Calculus III
AS.110.202 (06)

Calculus III
AS.110.202 (07)

Calculus III
AS.110.202 (08)

Calculus III
AS.110.202 (09)

Calculus III
AS.110.202 (10)

Calculus III
AS.110.202 (11)

Calculus III
AS.110.202 (12)

Calculus III
AS.110.202 (13)

Calculus III
AS.110.202 (14)

Honors Linear Algebra
AS.110.212 (01)

Problem Solving Lab
AS.110.225 (01)

Introduction to Proofs
AS.110.301 (01)

Differential Equations and Applications
AS.110.302 (01)

Differential Equations and Applications
AS.110.302 (02)

Differential Equations and Applications
AS.110.302 (03)