Course Atlas

Graduate MATH Courses

MATH512 Analysis II Credits: 3
Content: Topics will include: Measure and integration theory on the real line as well as on a general measure space, Bounded linear functionals on L^p spaces. If time permits, Sobolev spaces and Fourier transforms will be introduced.
Texts: TBA
Assessments: TBA
Prerequisites: Students are expected to have the background of Math 411-412 sequence or the equivalent.
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E408 MW      8:30AM - 9:45AM Maja Taskovic 16
MATH516 Numerical Analysis II Credits: 3
Content: This course covers fundamental concepts of numerical analysis and scientific computing. Material includes numerical methods for curve fitting (interpolation, splines, least squares), differentiation, integration, and differential equations. It is assumed that students have a strong background in numerical linear algebra.
Texts: TBA
Assessments: TBA
Prerequisites: Math 515, undergraduate course work in multivariable calculus and ordinary differential equations. An undergraduate course in numerical analysis would help, but is not absolutely essential. Prerequisites: This is a "hands on" course and students will be required to demonstrate their understanding of the concepts through programming assignments in MATLAB/Octave (help will be given for the novice programmer).
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E408 TuTh      2:30PM - 3:45PM Talea L. Mayo 16
MATH522 Algebra II Credits: 3
Content: Continuation of 521. Topics: Modules, especially modules over a principal ideal domain, fields, Galois theory, representation of finite groups, Commutative algebra.
Texts: TBA
Assessments: TBA
Prerequisites: Math 521.
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E408 MW      2:30PM - 3:45PM Parimala Raman 16
MATH523 Commutative Algebra & Algebraic Geometry Credits: 3
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E406 MW      1:00PM - 2:15PM Brooke Ullery 16
MATH524 Algebraic Geometry II Credits: 3
Content: Algebraic curves, algebraic varieties, sheaves, cohomology, Riemann-Roch theorem. Classification of algebraic surfaces, moduli spaces, deformation theory and, obstruction theory, the notion of schemes.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC N306 MW      11:30AM - 12:45PM Brooke Ullery 18
MATH532 Graph Theory II Credits: 3
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E408 TuTh      1:00PM - 2:15PM Liana Yepremyan 16
MATH546 Intro. to Differential Geometry II Credits: 3
Content: An introduction to Riemannian geometry and global analysis. Topics to be covered: Manifolds, Riemannian metrics, Connections, Curvature; Geodesics, Convexity, Topics in Global Analysis.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E406 TuTh      11:30AM - 12:45PM Yiran Wang 16
MATH571 Numerical Optimization Credits: 1
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC W303 TuTh      8:30AM - 9:45AM Lars Ruthotto 18
MATH578R Seminar in Algebra Credits: 1-9
Content: Research topics in algebra of current interest to faculty and students.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC W303 Tu      4:00PM - 5:15PM 18
MATH590 Teaching Seminar Credits: 3
Content: This seminar will concentrate on effective teaching techniques in mathematics. Topics included will include: General advice for new TA's. General advice for International TA's. Students will present several practice lectures over different levels of material. They will receive practice on quiz and test preparation. Syllabus information on courses most likely to be taught by new TA's will be supplied. General professional development information will also be included.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E406 F      11:00AM - 11:50AM Bree Ettinger
Juan Villeta-Garcia		 20
MATH597R Directed Study Credits: 3
Content: This course is on Random Algorithms.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
51 MSC E408 TuTh      10:15AM - 11:30AM Yuanzhe Xi
MATH787R Topics in Combinatorics Credits: 3
Content: TBA
Texts: TBA
Assessments: TBA
Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E406 MW      4:00PM - 5:15PM 16
2 MSC W201 TuTh      10:00AM - 11:15AM Dwight Duffus 40
3 MSC E408 TuTh      4:00PM - 5:15PM Vojtech Rodl 16
MATH789R Topics in Analysis: Numerical Methods for Deep Learning Credits: 3
Content: This course provides students with the mathematical background needed to analyze and further develop numerical methods at the heart of deep learning. The course briefly reviews current trends in machine learning, classification, and in particular deep neural networks. Mathematical techniques covered in this class include numerical optimization, numerical differential equations, optimal control.
Texts: TBA
Assessments: TBA
Prerequisites: In order to succeed in this class, students need to have a solid background in multivariate calculus and linear algebra and some programming experience in MATLAB, Julia, or Python. In addition, students are also expected to have experience or skills in either numerical analysis (optimization, partial differential equations) or machine learning (e.g., CS534, CS584, or similar).
Section Location Meeting Time Instructor Enrollment (max)
1 MSC E406 TuTh      1:00PM - 2:30PM David Borthwick 15