Course Schedule
Fall 2022
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 standard problems in this field.
Instructor(s):
Howard A. Stone
Schedule
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):
Tatiana Katarzyna Howard
L01
M W F
11:00 AM

11:50 AM
P01
T
02:30 PM

03:20 PM
P02
T
03:30 PM

04:20 PM
P03
T
07:30 PM

08:20 PM
P04
W
01:30 PM

02:20 PM
P05
W
07:30 PM

08:20 PM
P06
Th
02:30 PM

03:20 PM
P07
Th
03:30 PM

04:20 PM
P08
Th
07:30 PM

08:20 PM
Schedule
MAT 103
Calculus I
First semester of calculus. Topics include limits, continuity, the derivative, basic differentiation formulas and applications (curvesketching, optimization, related rates), definite and indefinite integrals, the fundamental theorem of calculus.
Instructor(s):
Julian Cruz Chaidez, Tangli Ge, Henry Theodore Horton, Ana Menezes, Paul David Timothy William Minter, Samuel Mundy, Andrew O'Desky, Sarah Peluse, Ravi Shankar
C01
M W
08:30 AM

09:50 AM
C02
M W
11:00 AM

12:20 PM
P01
F
09:00 AM

09:50 AM
P02
F
11:00 AM

11:50 AM
P99
01:00 AM

01:00 AM
Schedule
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):
Jonathan Hanselman, Xiaoyu He, Jef Christine S Laga, Rita Teixeira da Costa
C01
M W
08:30 AM

09:50 AM
C01A
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
C03
M W
01:30 PM

02:50 PM
C03A
M W
01:30 PM

02:50 PM
C03B
M W
01:30 PM

02:50 PM
C03C
M W
01:30 PM

02:50 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
P02B
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
P04
F
01:30 PM

02:20 PM
P04A
F
01:30 PM

02:20 PM
P99
01:00 AM

01:00 AM
Schedule
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):
Allen Juntao Fang, Laurel AnnaMarie Ohm, Hannah Schwartz
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
C03
M W
01:30 PM

02:50 PM
C03A
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
P04
F
01:30 PM

02:20 PM
P99
01:00 AM

01:00 AM
Schedule
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):
Dallas Albritton, David Boozer, Jonathan Michael Fickenscher, Casey Lynn Kelleher, Jean Pierre Mutanguha, Jacob Shapiro, John Thomas Sheridan, Jakub Witaszek, Andrew V Yarmola
C01
M W
08:30 AM

09:50 AM
C02
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
01:30 PM

02:20 PM
Schedule
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):
Bjoern Bringmann, Jennifer Li, David Villalobos, Liyang Yang
C01
M W
08:30 AM

09:50 AM
C01A
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
C03
M W
01:30 PM

02:50 PM
C03A
M W
01:30 PM

02:50 PM
C03B
M W
01:30 PM

02:50 PM
C03C
M W
01:30 PM

02:50 PM
C03D
M W
01:30 PM

02:50 PM
C04
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
01:30 PM

02:20 PM
P04A
F
01:30 PM

02:20 PM
P04B
F
01:30 PM

02:20 PM
P04C
F
01:30 PM

02:20 PM
P99
01:00 AM

01:00 AM
Schedule
MAT 203
Advanced Vector Calculus
Vector spaces, limits, derivatives of vectorvalued functions, Taylor's formula, Lagrange multipliers, double and triple integrals, change of coordinates, surface and line integrals, generalizations of the fundamental theorem of calculus to higher dimensions. More abstract than 201 but more concrete than 218. Recommended for prospective physics majors and others with a strong interest in applied mathematics.
Instructor(s):
David Gabai, Patrick Naylor
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
C03A
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
01:30 PM

02:20 PM
P04A
F
01:30 PM

02:20 PM
Schedule
MAT 214
Numbers, Equations, and Proofs
An introduction to classical number theory, to prepare for higherlevel courses in the department. Topics include Pythagorean triples and sums of squares, unique factorization, Chinese remainder theorem, arithmetic of Gaussian integers, finite fields and cryptography, arithmetic functions and quadratic reciprocity. There will be a topic, chosen by the instructor, from more advanced or more applied number theory: possibilities include padic numbers, cryptography, and Fermat's Last Theorem. This course is suitable both for students preparing to enter the Mathematics Department and for nonmajors interested in exposure to higher mathematics.
Instructor(s):
Wei Ho
L01
M W
11:00 AM

12:20 PM
L02
M W
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
Schedule
MAT 215
Single Variable Analysis with an Introduction to Proofs
An introduction to the mathematical discipline of analysis, to prepare for higherlevel course work in the department. Topics include rigorous epsilondelta treatment of limits, convergence, and uniform convergence of sequences and series. Continuity, uniform continuity, and differentiability of functions. The HeineBorel 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):
Charles Louis Fefferman
C01
T Th
11:00 AM

12:20 PM
Schedule
MAT 216
Multivariable Analysis and Linear Algebra I
Rigorous theoretical introduction to the foundations of analysis in one and several variables: basic set theory, vector spaces, metric and topological spaces, continuous and differential mapping between ndimensional real vector spaces. Normally followed by MAT 218.
Instructor(s):
Alan Chang
L01
T Th
11:00 AM

12:20 PM
L02
T Th
01:30 PM

02:50 PM
P01
F
11:00 AM

11:50 AM
P02
F
01:30 PM

02:20 PM
Schedule
MAT 300
Multivariable Analysis I
To familiarize the student with functions in many variables and higher dimensional generalization of curves and surfaces. Topics include: point set topology and metric spaces; continuous and differentiable maps in several variables; smooth manifolds and maps between them; Sard's theorem; vector fields and flows; differential forms and Stokes' theorem; differential equations; multiple integrals and surface integrals. An introduction to more advanced courses in analysis, differential equations, differential geometry, topology.
Instructor(s):
Samuel PérezAyala
C01
T Th
11:00 AM

12:20 PM
C02
T Th
01:30 PM

02:50 PM
Schedule
MAT 320
Introduction to Real Analysis
Introduction to real analysis, including the theory of Lebesgue measure and integration on the line and ndimensional space, and the theory of Fourier series and Hilbert spaces.
Instructor(s):
Daniel Ginsberg
C01
T Th
01:30 PM

02:50 PM
Schedule
MAT 321/APC 321
Numerical Methods
Introduction to numerical methods with emphasis on algorithms, applications and numerical analysis. Topics covered include solution of nonlinear equations; numerical differentiation, integration, and interpolation; direct and iterative methods for solving linear systems; computation of eigenvectors and eigenvalues; and approximation theory. Lectures include mathematical proofs where they provide insight and are supplemented with numerical demos using MATLAB.
Instructor(s):
Laurel AnnaMarie Ohm
C01
T Th
01:30 PM

02:50 PM
Schedule
MAT 335
Analysis II: Complex Analysis
Study of functions of a complex variable, with emphasis on interrelations with other parts of mathematics. Cauchy's theorems, singularities, contour integration, power series, infinite products. The gamma and zeta functions and the prime number theorem. Elliptic functions, theta functions, Jacobi's triple product and combinatorics. This course is the second semester of a foursemester sequence, but may be taken independently of the other semesters.
Instructor(s):
Ruobing Zhang
L01
M W
01:30 PM

02:50 PM
P01
F
02:30 PM

03:20 PM
Schedule
MAT 340
Applied Algebra
An applied algebra course that integrates the basics of theory and modern applications for students in MAT, APC, PHY, CBE, COS, ELE. This course is intended for students who have taken a semester of linear algebra and who have an interest in a course that treats the structures, properties and application of groups, rings, and fields. Applications and algorithmic aspects of algebra will be emphasized throughout.
Instructor(s):
Mark Weaver McConnell
L01
T Th
01:30 PM

02:50 PM
P01
F
02:30 PM

03:20 PM
Schedule
MAT 345
Algebra I
This course will cover the basics of symmetry and group theory, with applications. Topics include the fundamental theorem of finitely generated abelian groups, Sylow theorems, group actions, and the representation theory of finite groups, rings and modules.
Instructor(s):
Lue Pan
L01
T Th
03:00 PM

04:20 PM
P01
F
11:00 AM

11:50 AM
P02
F
01:30 PM

02:20 PM
Schedule
MAT 365
Topology
Introduction to pointset topology, the fundamental group, covering spaces, methods of calculation and applications.
Instructor(s):
Zoltán Szabó
C01
M W
03:00 PM

04:20 PM
Schedule
MAT 377/APC 377
Combinatorial Mathematics
The course covers the basic combinatorial techniques as well as introduction to more advanced ones. The topics discussed include elementary counting, the pigeonhole principle, counting spanning trees, InclusionExclusion, generating functions, Ramsey Theory, Extremal Combinatorics, Linear Algebra in Combinatorics, introduction to the probabilistic method, spectral graph theory, topological methods in combinatorics.
Instructor(s):
Noga Mordechai Alon
C01
M W
01:30 PM

02:50 PM
Schedule
MAT 385
Probability Theory
An introduction to probability theory. The course begins with the measure theoretic foundations of probability theory, expectation, distributions and limit theorems. Further topics include concentration of measure, Markov chains and martingales.
Instructor(s):
Allan M. Sly
C01
T Th
11:00 AM

12:20 PM
Schedule
MAT 419
Topics in Number Theory: Algebraic Number Theory
Course on algebraic number theory. Topics covered include number fields and their integer rings, class groups, zeta and Lfunctions.
Instructor(s):
Christopher McLean Skinner
C01
M W
01:30 PM

02:50 PM
Schedule
MAT 447
Commutative Algebra
This course will cover the standard material in a first course on commutative algebra. Topics include: ideals in and modules over commutative rings, localization, primary decomposition, integral dependence, Noetherian rings and chain conditions, discrete valuation rings and Dedekind domains, completion; and dimension theory.
Instructor(s):
Chenyang Xu
C01
M W
11:00 AM

12:20 PM
Schedule
MAT 457
Algebraic Geometry
Introduction to affine and projective algebraic varieties over fields.
Instructor(s):
June E Huh
L01
M W
03:00 PM

04:20 PM
Schedule
MAT 477
Advanced Graph Theory
Advanced course in Graph Theory. Further study of graph coloring, graph minors, perfect graphs, graph matching theory. Topics covered include: stable matching theorem, list coloring, chiboundedness, excluded minors and average degree, Hadwiger's conjecture, the weak perfect graph theorem, operations on perfect graphs, and other topics as time permits.
Instructor(s):
Maria Chudnovsky
C01
M W
01:30 PM

02:50 PM
Schedule
MAT 90
Arithmetic Geometry: Rational Points on Curves
No description available
Instructor(s):
ShouWu Zhang
L01
T Th
11:00 AM

12:20 PM
Schedule
MAT 91
Intro to Combinatorial Optimization
No description available
Instructor(s):
Paul Seymour
S01
01:00 AM

01:00 AM
Schedule
MAT 92
Smooth Surfaces in 4manifolds
No description available
Instructor(s):
David Gabai
S01
01:00 AM

01:00 AM
Schedule
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):
Ramon van Handel
S01
01:00 AM

01:00 AM
Schedule
L01
M W F
09:00 AM

09:50 AM
P01
M
03:30 PM

04:20 PM
P02
M
03:30 PM

04:20 PM
P03
M
07:30 PM

08:20 PM
P04
T
03:30 PM

04:20 PM
P05
T
07:30 PM

08:20 PM
P06
M
07:30 PM

08:20 PM
P07
T
03:30 PM

04:20 PM