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

• Days/Times:
• Instructor: Zoll, Aaron Joshua
• Room:  
• Status: Open
• Seats Available: 35/50
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Zoll, Aaron Joshua
• Room:  
• Status: Open
• Seats Available: 35/50
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Zoll, Aaron Joshua
• Room:  
• Status: Open
• Seats Available: 28/50
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Gaines, Alexa D; Ross, Lauren Elizabeth
• Room:  
• Status: Open
• Seats Available: 96/100
• PosTag(s): n/a

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

• Days/Times: MTWTh 1:00PM - 3:30PM
• Instructor: Cutrone, Joseph W
• Room: Bloomberg 272
• Status: Open
• Seats Available: 26/30
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Gaines, Alexa D
• Room:  
• Status: Open
• Seats Available: 89/100
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Bridgman, Terry
• Room:  
• Status: Open
• Seats Available: 85/100
• PosTag(s): ROBO-CMMA

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

• Days/Times: MTWTh 9:00AM - 11:30AM
• Instructor: Kumar, Aditya
• Room: Krieger 205
• Status: Open
• Seats Available: 23/30
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Clayton, Amanda M
• Room:  
• Status: Open
• Seats Available: 79/100
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Cutrone, Joseph W
• Room:  
• Status: Open
• Seats Available: 80/100
• PosTag(s): ROBO-CMMA

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

• Days/Times: MTWThF 9:30AM - 4:00PM
• Instructor: Sukurdeep, Yashil
• Room: Hodson 216
• Status: Open
• Seats Available: 1/24
• PosTag(s): n/a

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

• Days/Times: MTWThF 9:30AM - 4:00PM
• Instructor: Murphy, Kenneth
• Room: Hodson 216
• Status: Open
• Seats Available: 1/24
• PosTag(s): n/a

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

• Days/Times: MTWThF 9:30AM - 4:00PM
• Instructor: Sukurdeep, Yashil
• Room: Hodson 216
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times: MTWThF 1:15PM - 2:30PM
• Instructor: Braley, Emily
• Room: Maryland 110
• Status: Open
• Seats Available: 20/44
• PosTag(s): n/a

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

• Days/Times: MTWThF 1:15PM - 2:30PM
• Instructor: Braley, Emily
• Room: Maryland 110
• Status: Open
• Seats Available: 26/44
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Griffin, Catrish
• Room:  
• Status: Open
• Seats Available: 56/130
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Gaines, Alexa D
• Room:  
• Status: Open
• Seats Available: 91/100
• PosTag(s): n/a

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

• Days/Times: MTWTh 9:00AM - 11:30AM
• Instructor: Pezzi, Daniel Joseph
• Room: Maryland 110
• Status: Open
• Seats Available: 15/30
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Marshburn, Nicholas A
• Room:  
• Status: Open
• Seats Available: 62/100
• PosTag(s): ROBO-CMMA

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

• Days/Times: MTWTh 1:00PM - 3:30PM
• Instructor: Shumakovitch, Alexander N
• Room: Krieger 205
• Status: Open
• Seats Available: 22/30
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Christiansen, Teri E
• Room:  
• Status: Open
• Seats Available: 53/100
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Ratigan, Christopher J
• Room:  
• Status: Open
• Seats Available: 18/30
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Marshburn, Nicholas A
• Room:  
• Status: Open
• Seats Available: 96/100
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Nichols, Bradford Scott
• Room:  
• Status: Open
• Seats Available: 90/100
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Goldstein, Erich A
• Room:  
• Status: Open
• Seats Available: 25/30
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Marshburn, Nicholas A
• Room:  
• Status: Open
• Seats Available: 54/100
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Ratigan, Christopher J
• Room:  
• Status: Open
• Seats Available: 90/100
• PosTag(s): AGRI-ELECT

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

• Days/Times:
• Instructor: Marshburn, Nicholas A
• Room:  
• Status: Open
• Seats Available: 93/100
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Marino, Jeffrey Robert
• Room:  
• Status: Open
• Seats Available: 76/100
• PosTag(s): n/a

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

• Days/Times: TTh 1:30PM - 2:45PM
• Instructor: Cutrone, Joseph W
• Room: Krieger Laverty
• Status: Waitlist Only
• Seats Available: 0/12
• PosTag(s): AGRI-ELECT

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

• Days/Times: MWF 9:00AM - 9:50AM, T 4:30PM - 5:20PM
• Instructor: Ahmed, Mikail Yunus
• Room: Hodson 211
• Status: Open
• Seats Available: 11/30
• PosTag(s): n/a

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

• Days/Times: MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 1/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 3/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 10/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 3/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 2/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 3:00PM - 3:50PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 4:30PM - 5:20PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 2/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM
• Instructor: Campion, Tim Francis
• Room: Maryland 110
• Status: Open
• Seats Available: 7/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM
• Instructor: Campion, Tim Francis
• Room: Maryland 110
• Status: Open
• Seats Available: 2/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM
• Instructor: Campion, Tim Francis
• Room: Maryland 110
• Status: Open
• Seats Available: 5/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 6:00PM - 6:50PM
• Instructor: Campion, Tim Francis
• Room: Maryland 110
• Status: Open
• Seats Available: 11/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM
• Instructor: Marshall-Stevens, Kobe
• Room: Hodson 210
• Status: Open
• Seats Available: 9/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM
• Instructor: Marshall-Stevens, Kobe
• Room: Hodson 210
• Status: Open
• Seats Available: 2/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM
• Instructor: Marshall-Stevens, Kobe
• Room: Hodson 210
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 6:00PM - 6:50PM
• Instructor: Marshall-Stevens, Kobe
• Room: Hodson 210
• Status: Open
• Seats Available: 2/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM
• Instructor: Li, Huajie
• Room: Shaffer 301
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM
• Instructor: Li, Huajie
• Room: Shaffer 301
• Status: Open
• Seats Available: 10/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM
• Instructor: Li, Huajie
• Room: Shaffer 301
• Status: Open
• Seats Available: 8/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM
• Instructor: Li, Huajie
• Room: Mergenthaler 111
• Status: Open
• Seats Available: 3/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM
• Instructor: Li, Huajie
• Room: Mergenthaler 111
• Status: Open
• Seats Available: 6/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 4:30PM - 5:20PM
• Instructor: Li, Huajie
• Room: Mergenthaler 111
• Status: Open
• Seats Available: 2/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 6:00PM - 6:50PM
• Instructor: Li, Huajie
• Room: Mergenthaler 111
• Status: Open
• Seats Available: 7/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 3:00PM - 3:50PM
• Instructor: Riehl, EMILY
• Room: Krieger 205
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM
• Instructor: Riehl, EMILY
• Room: Krieger 205
• Status: Open
• Seats Available: 2/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM
• Instructor: Riehl, EMILY
• Room: Krieger 205
• Status: Open
• Seats Available: 4/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 3:00PM - 3:50PM
• Instructor: Riehl, EMILY
• Room: Krieger 205
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM
• Instructor: Riehl, EMILY
• Room: Krieger 205
• Status: Open
• Seats Available: 1/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 6:00PM - 6:50PM
• Instructor: Riehl, EMILY
• Room: Krieger 205
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 1:30PM - 2:20PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 1/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 3:00PM - 3:50PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 4/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 1/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 2/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 3:00PM - 3:50PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 1/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 4:30PM - 5:20PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 2/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 6:00PM - 6:50PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 3/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, T 3:00PM - 3:50PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 1/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 1/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, T 6:00PM - 6:50PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 2/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 3:00PM - 3:50PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 2/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 4:30PM - 5:20PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 3/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 6:00PM - 6:50PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 1/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 6:00PM - 6:50PM
• Instructor: Brown, Richard
• Room: Shaffer 3
• Status: Open
• Seats Available: 8/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM
• Instructor: Sakellaridis, Yiannis
• Room: Hodson 301
• Status: Open
• Seats Available: 15/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: Th 3:00PM - 4:40PM
• Instructor: Chedalavada, Anish V
• Room: Bloomberg 178
• Status: Open
• Seats Available: 6/12
• PosTag(s): n/a

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

• Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM
• Instructor: Rijke, Egbert
• Room:  
• Status: Open
• Seats Available: 26/30
• PosTag(s): n/a

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

• Days/Times: MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM
• Instructor: Wu, Yueqiao
• Room: Maryland 110
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 4:30PM - 5:20PM
• Instructor: Wu, Yueqiao
• Room: Maryland 110
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 6:00PM - 6:50PM
• Instructor: Wu, Yueqiao
• Room: Maryland 110
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times: MWF 1:30PM - 2:20PM, T 3:00PM - 3:50PM
• Instructor: Wu, Yueqiao
• Room: Shaffer 303
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times: MWF 1:30PM - 2:20PM, T 4:30PM - 5:20PM
• Instructor: Wu, Yueqiao
• Room: Shaffer 303
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times: MWF 1:30PM - 2:20PM, Th 6:00PM - 6:50PM
• Instructor: Wu, Yueqiao
• Room: Shaffer 303
• Status: Open
• Seats Available: 5/24
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Ratigan, Christopher J
• Room:  
• Status: Open
• Seats Available: 15/25
• PosTag(s): AGRI-ELECT

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

• Days/Times: TTh 9:00AM - 10:15AM, F 9:00AM - 9:50AM
• Instructor: Sunohara, Matthew Tyler Toyoharu
• Room: Maryland 104
• Status: Open
• Seats Available: 15/19
• PosTag(s): n/a

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

• Days/Times: TTh 12:00PM - 1:15PM, Th 4:30PM - 5:20PM
• Instructor: Wang, Yi
• Room: Ames 234
• Status: Open
• Seats Available: 20/24
• PosTag(s): n/a

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

• Days/Times: MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM
• Instructor: Park, Chamsol
• Room: Bloomberg 172
• Status: Open
• Seats Available: 9/18
• PosTag(s): n/a

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

• Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM
• Instructor: Shumakovitch, Alexander N
• Room: Shaffer 2
• Status: Open
• Seats Available: 9/30
• PosTag(s): BMED-CB

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

• Days/Times: TTh 12:00PM - 1:15PM
• Instructor: Gregoric, Rok
• Room: Maryland 217
• Status: Open
• Seats Available: 20/24
• PosTag(s): n/a

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

• Days/Times: MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM
• Instructor: Meng, Fanjun
• Room: Maryland 104
• Status: Open
• Seats Available: 6/24
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Nakade, Apurva
• Room:  
• Status: Open
• Seats Available: 48/50
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Ross, Lauren Elizabeth
• Room:  
• Status: Open
• Seats Available: 46/50
• PosTag(s): n/a

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

• Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM
• Instructor: Maggioni, Mauro
• Room: Maryland 217
• Status: Open
• Seats Available: 8/24
• PosTag(s): n/a

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

• Days/Times: MW 4:30PM - 5:45PM
• Instructor: Khovanov, Mikhail
• Room: Gilman 400
• Status: Open
• Seats Available: 13/19
• PosTag(s): n/a

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

• Days/Times: TTh 1:30PM - 2:45PM
• Instructor: Restrepo Montoya, Daniel Eduardo
• Room: Maryland 104
• Status: Open
• Seats Available: 17/24
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Gaines, Alexa D; Ross, Lauren Elizabeth
• Room:  
• Status: Approval Required
• Seats Available: 49/50
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Gaines, Alexa D
• Room:  
• Status: Approval Required
• Seats Available: 48/50
• PosTag(s): n/a

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

• Days/Times: MWF 10:00AM - 10:50AM, T 4:30PM - 5:20PM
• Instructor: Brown, Richard
• Room: Krieger 205
• Status: Open
• Seats Available: 13/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 3:00PM - 3:50PM
• Instructor: Brown, Richard
• Room: Krieger 205
• Status: Open
• Seats Available: 22/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 4:30PM - 5:20PM
• Instructor: Brown, Richard
• Room: Krieger 205
• Status: Open
• Seats Available: 23/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 9:00AM - 9:50AM, T 9:00AM - 9:50AM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 26/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 9:00AM - 9:50AM, T 4:30PM - 5:20PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 8/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 9:00AM - 9:50AM, T 6:00PM - 6:50PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 21/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 9:00AM - 9:50AM, Th 1:30PM - 2:20PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 18/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 9:00AM - 9:50AM, Th 3:00PM - 3:50PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 26/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 1:30PM - 2:20PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 4:30PM - 5:20PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Waitlist Only
• Seats Available: 1/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 3:00PM - 3:50PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Open
• Seats Available: 1/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 7:00PM - 7:50PM
• Instructor: Wentworth-Nice, Prairie
• Room: Remsen Hall 101
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Clayton, Amanda M
• Room:  
• Status: Approval Required
• Seats Available: 46/50
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 8:00AM - 8:50AM
• Instructor: Cutrone, Joseph W
• Room: Maryland 110
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, T 6:00PM - 6:50PM
• Instructor: Cutrone, Joseph W
• Room: Maryland 110
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 10:00AM - 10:50AM, Th 1:30PM - 2:20PM
• Instructor: Cutrone, Joseph W
• Room: Maryland 110
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 3:00PM - 3:50PM, T 3:00PM - 3:50PM
• Instructor: Im, Mee Seong
• Room: Hodson 210
• Status: Open
• Seats Available: 11/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 3:00PM - 3:50PM, T 7:00PM - 7:50PM
• Instructor: Im, Mee Seong
• Room: Hodson 210
• Status: Open
• Seats Available: 24/30
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 3:00PM - 3:50PM, Th 4:30PM - 5:20PM
• Instructor: Im, Mee Seong
• Room: Hodson 210
• Status: Open
• Seats Available: 16/30
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Clayton, Amanda M
• Room:  
• Status: Approval Required
• Seats Available: 44/50
• PosTag(s): ROBO-CMMA

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.

• Days/Times:
• Instructor: Gaines, Alexa D
• Room:  
• Status: Approval Required
• Seats Available: 100/100
• PosTag(s): n/a

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

• Days/Times: MWF 9:00AM - 9:50AM, T 1:30PM - 2:20PM
• Instructor: Gregoric, Rok
• Room: Krieger 205
• Status: Open
• Seats Available: 4/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 9:00AM - 9:50AM, T 4:30PM - 5:20PM
• Instructor: Gregoric, Rok
• Room: Krieger 205
• Status: Open
• Seats Available: 11/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 9:00AM - 9:50AM, Th 8:00PM - 8:50PM
• Instructor: Gregoric, Rok
• Room: Krieger 205
• Status: Open
• Seats Available: 17/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 9:00AM - 9:50AM, Th 4:30PM - 5:20PM
• Instructor: Gregoric, Rok
• Room: Krieger 205
• Status: Open
• Seats Available: 11/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, T 1:30PM - 2:20PM
• Instructor: Gregoric, Rok
• Room: Krieger 205
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, T 3:00PM - 3:50PM
• Instructor: Gregoric, Rok
• Room: Krieger 205
• Status: Open
• Seats Available: 13/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 3:00PM - 3:50PM
• Instructor: Gregoric, Rok
• Room: Krieger 205
• Status: Open
• Seats Available: 8/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 6:00PM - 6:50PM
• Instructor: Gregoric, Rok
• Room: Krieger 205
• Status: Open
• Seats Available: 4/24
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Marshburn, Nicholas A
• Room:  
• Status: Approval Required
• Seats Available: 96/100
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 3:00PM - 3:50PM
• Instructor: Corato Zanarella, Murilo
• Room: Krieger 205
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, T 6:00PM - 6:50PM
• Instructor: Corato Zanarella, Murilo
• Room: Krieger 205
• Status: Open
• Seats Available: 4/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 9:00AM - 9:50AM
• Instructor: Corato Zanarella, Murilo
• Room: Krieger 205
• Status: Open
• Seats Available: 1/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 4:30PM - 5:20PM
• Instructor: Corato Zanarella, Murilo
• Room: Krieger 205
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 11:00AM - 11:50AM, Th 6:00PM - 6:50PM
• Instructor: Corato Zanarella, Murilo
• Room: Krieger 205
• Status: Open
• Seats Available: 3/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, T 3:00PM - 3:50PM
• Instructor: Corato Zanarella, Murilo
• Room: Maryland 110
• Status: Open
• Seats Available: 3/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM
• Instructor: Corato Zanarella, Murilo
• Room: Maryland 110
• Status: Open
• Seats Available: 3/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 4:30PM - 5:20PM
• Instructor: Corato Zanarella, Murilo
• Room: Maryland 110
• Status: Open
• Seats Available: 13/24
• PosTag(s): ROBO-CMMA

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 6:00PM - 6:50PM
• Instructor: Corato Zanarella, Murilo
• Room: Maryland 110
• Status: Open
• Seats Available: 14/24
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Christiansen, Teri E
• Room:  
• Status: Approval Required
• Seats Available: 49/50
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Ratigan, Christopher J
• Room:  
• Status: Approval Required
• Seats Available: 50/50
• PosTag(s): n/a

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

• Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM
• Instructor: Shumakovitch, Alexander N
• Room:  
• Status: Open
• Seats Available: 17/20
• PosTag(s): ROBO-CMMA

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

• Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM
• Instructor: Sire, Yannick
• Room: Maryland 217
• Status: Open
• Seats Available: 13/18
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Marshburn, Nicholas A
• Room:  
• Status: Approval Required
• Seats Available: 99/100
• PosTag(s): n/a

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

• Days/Times: MW 3:00PM - 4:15PM, F 3:00PM - 3:50PM
• Instructor: Campion, Tim Francis
• Room:  
• Status: Open
• Seats Available: 17/20
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Goldstein, Erich A
• Room:  
• Status: Approval Required
• Seats Available: 49/50
• PosTag(s): n/a

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

• Days/Times: MWF 12:00PM - 12:50PM, T 4:30PM - 5:20PM
• Instructor: Meng, Fanjun
• Room: Olin 305
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 3:00PM - 3:50PM
• Instructor: Meng, Fanjun
• Room: Olin 305
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 4:30PM - 5:20PM
• Instructor: Meng, Fanjun
• Room: Olin 305
• Status: Open
• Seats Available: 1/24
• PosTag(s): n/a

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

• Days/Times: MWF 12:00PM - 12:50PM, Th 6:00PM - 6:50PM
• Instructor: Meng, Fanjun
• Room: Olin 305
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times: MWF 1:30PM - 2:20PM, T 3:00PM - 3:50PM
• Instructor: Meng, Fanjun
• Room: Bloomberg 278
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times: MWF 1:30PM - 2:20PM, T 4:30PM - 5:20PM
• Instructor: Meng, Fanjun
• Room: Bloomberg 278
• Status: Waitlist Only
• Seats Available: 0/24
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Marshburn, Nicholas A
• Room:  
• Status: Approval Required
• Seats Available: 100/100
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Ratigan, Christopher J
• Room:  
• Status: Open
• Seats Available: 5/20
• PosTag(s): n/a

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

• Days/Times: TTh 9:00AM - 10:15AM, F 9:00AM - 9:50AM
• Instructor: Rijke, Egbert
• Room: Krieger 302
• Status: Open
• Seats Available: 14/20
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Marshburn, Nicholas A
• Room:  
• Status: Approval Required
• Seats Available: 50/50
• PosTag(s): n/a

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

• Days/Times: TTh 12:00PM - 1:15PM, F 12:00PM - 12:50PM
• Instructor: Mese, CHIKAKO
• Room: Maryland 309
• Status: Open
• Seats Available: 11/20
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Goldstein, Erich A
• Room:  
• Status: Approval Required
• Seats Available: 50/50
• PosTag(s): n/a

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.

• Days/Times:
• Instructor: Ross, Lauren Elizabeth
• Room:  
• Status: Approval Required
• Seats Available: 50/50
• PosTag(s): n/a

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

• Days/Times: MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM
• Instructor: Wu, Yueqiao
• Room: Maryland 217
• Status: Open
• Seats Available: 14/20
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Marshburn, Nicholas A
• Room:  
• Status: Approval Required
• Seats Available: 48/50
• PosTag(s): n/a

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

• Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM
• Instructor: Bernstein, Jacob
• Room: Bloomberg 168
• Status: Open
• Seats Available: 1/26
• PosTag(s): ROBO-CMMA

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

• Days/Times:
• Instructor: Marino, Jeffrey Robert
• Room:  
• Status: Approval Required
• Seats Available: 96/100
• PosTag(s): ROBO-CMMA

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

• Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM
• Instructor: Zhao, Zihui
• Room: Bloomberg 178
• Status: Open
• Seats Available: 2/10
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Marino, Jeffrey Robert
• Room:  
• Status: Approval Required
• Seats Available: 48/50
• PosTag(s): n/a

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

• Days/Times: MW 12:00PM - 1:15PM, F 12:00PM - 12:50PM
• Instructor: Consani, Caterina (Katia)
• Room: Krieger 300
• Status: Open
• Seats Available: 12/20
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Nakade, Apurva
• Room:  
• Status: Approval Required
• Seats Available: 49/50
• PosTag(s): n/a

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

• Days/Times: TTh 10:30AM - 11:45AM, Th 4:30PM - 5:20PM
• Instructor: Staff
• Room: Hodson 315
• Status: Waitlist Only
• Seats Available: 0/20
• PosTag(s): n/a

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

• Days/Times:
• Instructor: Ross, Lauren Elizabeth
• Room:  
• Status: Approval Required
• Seats Available: 49/50
• PosTag(s): n/a

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

• Days/Times: MW 1:30PM - 2:45PM, F 1:30PM - 2:20PM
• Instructor: Sogge, Christopher Donald
• Room: Gilman 75
• Status: Open
• Seats Available: 3/12
• PosTag(s): n/a

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

• Days/Times: TTh 3:00PM - 4:15PM
• Instructor: Lu, Fei
• Room: Croft Hall G02
• Status: Waitlist Only
• Seats Available: 0/12
• PosTag(s): n/a

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.

• Days/Times: MW 1:30PM - 2:20PM
• Instructor: Wang, Xiong
• Room:  
• Status: Open
• Seats Available: 6/10
• PosTag(s): n/a

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.

• Days/Times: TTh 3:00PM - 4:15PM
• Instructor: Marshall-Stevens, Kobe
• Room: Krieger 205
• Status: Open
• Seats Available: 7/20
• PosTag(s): n/a

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

• Days/Times: MW 4:30PM - 5:45PM
• Instructor: Maggioni, Mauro
• Room: Bloomberg 168
• Status: Waitlist Only
• Seats Available: 0/30
• PosTag(s): ROBO-CMMA