Spring 2024

APC 199/MAT 199 Math Alive Mathematics has profoundly changed our world, from the way we communicate with each other and listen to music, to banking and computers. This course is designed for those without college mathematics who want to understand the mathematical concepts behind important modern applications. The course consists of individual modules, each focusing on a particular application (e.g. compression, animation and using statistics to explain, or hide, facts). The emphasis is on ideas, not on sophisticated mathematical techniques, but there will be substantial problem-set requirements. Students will learn by doing simple examples. Instructor(s): Sheng Xu
Schedule
C01 T Th 11:00 AM - 12:20 PM
APC 350/MAT 322 Introduction to Differential Equations This course will introduce the basic theory, models and techniques for ordinary and partial differential equations. Emphasis will be placed on the connection with other disciplines of science and engineering. We will try to strike a balance between the theoretical (e.g. existence and uniqueness issues, qualitative properties) and the more practical issues such as analytical and numerical approximations. Instructor(s): Hans Emil Oscar Mickelin
Schedule
L01 T Th 01:30 PM - 02:50 PM
MAE 305/MAT 391/EGR 305/CBE 305 Mathematics in Engineering I A treatment of the theory and applications of ordinary differential equations with an introduction to partial differential equations. The objective is to provide the student with an ability to solve problems in this field. Instructor(s): Pierre-Thomas Brun
Schedule
L01 M W F 11:00 AM - 11:50 AM
P01 W 01:30 PM - 02:20 PM
P02 Th 02:30 PM - 03:20 PM
P03 Th 07:30 PM - 08:20 PM
MAE 306/MAT 392 Mathematics in Engineering II This course covers a range of fundamental mathematical techniques and methods that can be employed to solve problems in contemporary engineering and the applied sciences. Topics include complex analysis and integral transforms. Instructor(s): Ehud Yariv
Schedule
L01 T Th 03:00 PM - 04:20 PM
P01 W 07:30 PM - 08:20 PM
MAT 100 Calculus Foundations Introduction to limits and derivatives as preparation for further courses in calculus. Fundamental functions (polynomials, rational functions, exponential, logarithmic, trigonometric) and their graphs will be also reviewed. Other topics include tangent and normal lines, linearization, computing area and rates of change. The emphasis will be on learning to think independently and creatively in the mathematical setting. Instructor(s): Tatyana Chmutova, Jennifer Michelle Johnson
Schedule
C01 M W 08:30 AM - 09:50 AM
P01 F 09:00 AM - 09:50 AM
P99 01:00 AM - 01:00 AM
MAT 103 Calculus I First semester of calculus. Topics include limits, continuity, the derivative, basic differentiation formulas and applications (curve-sketching, optimization, related rates), definite and indefinite integrals, the fundamental theorem of calculus. Instructor(s): Jonathan Michael Fickenscher, Tatiana Katarzyna Howard
Schedule
C01 M W 08:30 AM - 09:50 AM
C02 M W 11:00 AM - 12:20 PM
C02A M W 11:00 AM - 12:20 PM
C02B M W 11:00 AM - 12:20 PM
C03 M W 01:30 PM - 02:50 PM
P01 F 09:00 AM - 09:50 AM
P02 F 10:00 AM - 10:50 AM
P03 F 11:00 AM - 11:50 AM
P03A F 11:00 AM - 11:50 AM
P03B F 11:00 AM - 11:50 AM
P03C F 11:00 AM - 11:50 AM
P04 F 12:30 PM - 01:20 PM
P05 F 01:30 PM - 02:20 PM
P99 01:00 AM - 01:00 AM
MAT 104 Calculus II Continuation of MAT 103. Topics include techniques of integration, arclength, area, volume, convergence of series and improper integrals, L'Hopital's rule, power series and Taylor's theorem, introduction to differential equations and complex numbers. Instructor(s): Tangli Ge, Jonathan Hanselman, Lili He, Hongyi Liu, Anubhav Mukherjee
Schedule
C01 M W 08:30 AM - 09:50 AM
C02 M W 11:00 AM - 12:20 PM
C02A M W 11:00 AM - 12:20 PM
C03 M W 01:30 PM - 02:50 PM
P01 F 09:00 AM - 09:50 AM
P02 F 10:00 AM - 10:50 AM
P03 F 11:00 AM - 11:50 AM
P03A F 11:00 AM - 11:50 AM
P04 F 12:30 PM - 01:20 PM
P05 F 01:30 PM - 02:20 PM
P99 01:00 AM - 01:00 AM
MAT 175 Mathematics for Economics/Life Sciences Survey of topics from multivariable calculus as preparation for future course work in economics or life sciences. Topics include basic techniques of integration, average value, vectors, partial derivatives, gradient, optimization of multivariable functions, and constrained optimization with Lagrange multipliers. Instructor(s): Tatyana Chmutova, Jean Pierre Mutanguha, John Thomas Sheridan
Schedule
C01 M W 08:30 AM - 09:50 AM
C02 M W 11:00 AM - 12:20 PM
C02A M W 11:00 AM - 12:20 PM
C03 M W 01:30 PM - 02:50 PM
P01 F 10:00 AM - 10:50 AM
P02 F 11:00 AM - 11:50 AM
P02A F 11:00 AM - 11:50 AM
P03 F 12:30 PM - 01:20 PM
P04 F 01:30 PM - 02:20 PM
P99 01:00 AM - 01:00 AM
MAT 201 Multivariable Calculus Vectors in the plane and in space, vector functions and motion, surfaces, coordinate systems, functions of two or three variables and their derivatives, maxima and minima and applications, double and triple integrals, vector fields and Stokes's theorem. Instructor(s): David Boozer, Jennifer Li, Mark Weaver McConnell, Semon Rezchikov, Artane Siad
Schedule
C01 M W 08:30 AM - 09:50 AM
C02 M W 11:00 AM - 12:20 PM
C02A M W 11:00 AM - 12:20 PM
C02B M W 11:00 AM - 12:20 PM
C03 M W 01:30 PM - 02:50 PM
P01 F 09:00 AM - 09:50 AM
P02 F 10:00 AM - 10:50 AM
P03 F 11:00 AM - 11:50 AM
P03A F 11:00 AM - 11:50 AM
P04 F 12:30 PM - 01:20 PM
P05 F 01:30 PM - 02:20 PM
P99 01:00 AM - 01:00 AM
MAT 202 Linear Algebra with Applications Companion course to MAT 201. Matrices, linear transformations, linear independence and dimension, bases and coordinates, determinants, orthogonal projection, least squares, eigenvectors and their applications to quadratic forms and dynamical systems. Instructor(s): Fraser Malcolm Watt Binns, Matija Bucic, Louis Esser, Jennifer Michelle Johnson, Samuel Mundy, Andrew O'Desky, Ravi Shankar, David Villalobos, Liyang Yang
Schedule
C01 M W 08:30 AM - 09:50 AM
C02 M W 11:00 AM - 12:20 PM
C02A M W 11:00 AM - 12:20 PM
C02B M W 11:00 AM - 12:20 PM
C02C M W 11:00 AM - 12:20 PM
C02D M W 11:00 AM - 12:20 PM
C02E M W 11:00 AM - 12:20 PM
C02F M W 11:00 AM - 12:20 PM
C02G M W 11:00 AM - 12:20 PM
C03 M W 01:30 PM - 02:50 PM
C03A M W 01:30 PM - 02:50 PM
C04 M W 03:00 PM - 04:20 PM
C04A M W 03:00 PM - 04:20 PM
P01 F 09:00 AM - 09:50 AM
P01A F 09:00 AM - 09:50 AM
P02 F 10:00 AM - 10:50 AM
P02A F 10:00 AM - 10:50 AM
P03 F 11:00 AM - 11:50 AM
P03A F 11:00 AM - 11:50 AM
P03B F 11:00 AM - 11:50 AM
P03C F 11:00 AM - 11:50 AM
P03D F 11:00 AM - 11:50 AM
P03E F 11:00 AM - 11:50 AM
P04 F 12:30 PM - 01:20 PM
P04A F 12:30 PM - 01:20 PM
P04B F 12:30 PM - 01:20 PM
P04C F 12:30 PM - 01:20 PM
P05 F 01:30 PM - 02:20 PM
P05A F 01:30 PM - 02:20 PM
P99 01:00 AM - 01:00 AM
MAT 204 Advanced Linear Algebra with Applications Companion course to MAT203. Linear systems of equations, linear independence and dimension, linear transforms, determinants, (real and complex) eigenvectors and eigenvalues, orthogonality, spectral theorem, singular value decomposition, Jordan forms, other topics as time permits. More abstract than MAT202 but more concrete than MAT217. Recommended for prospective physics majors and others with a strong interest in applied mathematics. Prerequisite: MAT104 or MAT215 or equivalent. Instructor(s): Ruobing Zhang
Schedule
C01 M W 11:00 AM - 12:20 PM
P01 F 11:00 AM - 11:50 AM
P02 F 01:30 PM - 02:20 PM
MAT 215 Single Variable Analysis with an Introduction to Proofs An introduction to the mathematical discipline of analysis, to prepare for higher-level course work in the department. Topics include rigorous epsilon-delta treatment of limits, convergence, and uniform convergence of sequences and series. Continuity, uniform continuity, and differentiability of functions. The Heine-Borel Theorem. The Riemann integral, conditions for integrability of functions and term by term differentiation and integration of series of functions, Taylor's Theorem. Instructor(s): Samuel Pérez-Ayala
Schedule
L01 T Th 11:00 AM - 12:20 PM
P01 F 11:00 AM - 11:50 AM
MAT 217 Honors Linear Algebra A rigorous course in linear algebra with an emphasis on proof rather than applications. Topics include vector spaces, linear transformations, inner product spaces, determinants, eigenvalues, the Cayley-Hamilton theorem, Jordan form, the spectral theorem for normal transformations, bilinear and quadratic forms. Instructor(s): Justin Lacini, Lue Pan, Jakub Witaszek
Schedule
C01 T Th 11:00 AM - 12:20 PM
C01A T Th 11:00 AM - 12:20 PM
C02 T Th 01:30 PM - 02:50 PM
C02A T Th 01:30 PM - 02:50 PM
P01 F 11:00 AM - 11:50 AM
P01A F 11:00 AM - 11:50 AM
P02 F 01:30 PM - 02:20 PM
P02A F 01:30 PM - 02:20 PM
MAT 218 Multivariable Analysis and Linear Algebra II Continuation of the rigorous introduction to analysis in MAT 216 Instructor(s): Peter Steven Ozsváth
Schedule
C01 T Th 01:30 PM - 02:50 PM
MAT 325 Analysis I: Fourier Series and Partial Differential Equations Basic facts about Fourier Series, Fourier Transformations, and applications to the classical partial differential equations will be covered. Also Finite Fourier Series, Dirichlet Characters, and applications to properties of primes. Instructor(s): Dominique Kemp
Schedule
L01 T Th 01:30 PM - 02:50 PM
MAT 330 Complex Analysis with Applications The theory of functions of one complex variable, covering analyticity, contour integration, residues, power series expansions, and conformal mapping. The goal in the course is to give adequate treatment of the basic theory and also demonstrate the use of complex analysis as a tool for solving problems. Instructor(s): Jacob Shapiro
Schedule
C01 M W 11:00 AM - 12:20 PM
MAT 346 Algebra II Local Fields and the Galois theory of Local Fields. Instructor(s): Nicholas Michael Katz
Schedule
L01 T Th 01:30 PM - 02:50 PM
MAT 355 Introduction to Differential Geometry Introduction to geometry of surfaces. Surfaces in Euclidean space: first fundamental form, second fundamental form, geodesics, Gauss curvature, Gauss-Bonnet Theorem. Minimal surfaces in the Euclidean space. Instructor(s): Fernando Codá Marques
Schedule
C01 M W 11:00 AM - 12:20 PM
MAT 375/COS 342 Introduction to Graph Theory The fundamental theorems and algorithms of graph theory. Topics include: connectivity, matchings, graph coloring, planarity, the four-color theorem, extremal problems, network flows, and related algorithms. Instructor(s): Maria Chudnovsky
Schedule
C01 T Th 11:00 AM - 12:20 PM
MAT 378 Theory of Games Games in extensive form, pure and behavioral strategies; normal form, mixed strategies, equilibrium points; coalitions, characteristic-function form, imputations, solution concepts; related topics and applications. Instructor(s): Xiaoyu He
Schedule
C01 M W 01:30 PM - 02:50 PM
MAT 419 Topics in Number Theory: The Arithmetic of Quadratic Forms An introduction to the arithmetic and geometry of quadratic forms. Topics will include lattices, class number, local-global principle, composition, and other connections to algebraic number theory. Applications to the representation of integers by quadratic forms will be discussed, including various generalizations of Lagrange's Theorem which states that every positive integer is the sum of four squares. Instructor(s): Manjul Bhargava
Schedule
C01 W 07:30 PM - 10:20 PM
MAT 425 Analysis III: Integration Theory and Hilbert Spaces The theory of Lebesgue integration in n-dimensional space. Differentiation theory. Hilbert space theory and applications to Fourier Transforms, and partial differential equations. Introduction to fractals. This course is the third semester of a four-semester sequence, but may be taken independently of the other semesters. Instructor(s): Federico Glaudo
Schedule
C01 M W 01:30 PM - 02:50 PM
MAT 427 Ordinary Differential Equations This course offers an introduction to the study of ordinary differential equations. Topics include: Explicit solutions of some linear and non-linear equations (using tools that span: separation of variables, integrating factors, Greens functions, and Laplace transform methods); Series solutions of ODEs with analytic coefficients and with regular singular points; Fundamental existence and uniqueness theorems (Peano, Picard-Lindelof, and Osgood); Introduction to dynamical systems (Poincare-Bendixon theorem); Stability of equilibrium points and periodic orbits. Instructor(s): Paul Chien-Ping Yang
Schedule
C01 T Th 11:00 AM - 12:20 PM
MAT 478 Topics In Combinatorics: The Probabilistic Method This course covers probabilistic methods in combinatorics and their applications in theoretical computer science. The topics include linearity of expectation, the second moment method, the local lemma, correlation inequalities, martingales, large deviation inequalities, geometry, VC-dimension and possibly more as time permits. Instructor(s): Noga Mordechai Alon
Schedule
C01 T Th 09:30 AM - 10:50 AM
MAT 90 Sieves and Algebraic Number Theory No description available Instructor(s): Manjul Bhargava
Schedule
S01 01:00 AM - 01:00 AM
MAT 91 Modern Discrete Probability Theory No description available Instructor(s): Allan M. Sly
Schedule
S01 01:00 AM - 01:00 AM
MAT 92 Topics in Topology: Topology of 4-manifolds No description available Instructor(s): Zoltán Szabó
Schedule
S01 01:00 AM - 01:00 AM
MAT 93 Topics in Differential Equations: Parabolic PDE No description available Instructor(s): Sun-Yung Alice Chang
Schedule
S01 01:00 AM - 01:00 AM
MAT 94 Mathematical Aspects of Condensed Matter Physics No description available Instructor(s): Jacob Shapiro
Schedule
S01 01:00 AM - 01:00 AM
MAT 95 Algebraic Geometry: Schemes (Hartshorne) No description available Instructor(s): Chenyang Xu
Schedule
S01 01:00 AM - 01:00 AM
ORF 309/EGR 309/MAT 380 Probability and Stochastic Systems An introduction to probability and its applications. Topics include: basic principles of probability; Lifetimes and reliability, Poisson processes; random walks; Brownian motion; branching processes; Markov chains. Instructor(s): Mark Cerenzia
Schedule
L01 M W F 09:00 AM - 09:50 AM
P01 M 03:30 PM - 04:20 PM
P02 M 07:30 PM - 08:20 PM
P03 T 03:30 PM - 04:20 PM
P04 T 07:30 PM - 08:20 PM