Course Atlas
Graduate MATH Courses
MATH512 | Analysis II | Credits: 3 | ||
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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 | ONLINE | TuTh 9:40AM - 10:55AM | David Borthwick | 30 |
MATH516 | Numerical Analysis II | Credits: 3 | ||
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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. | ||||
Section | Location | Meeting Time | Instructor | Enrollment (max) |
1 | ONLINE | Tu 11:20AM - 12:35PM | Talea L. Mayo | 30 |
MATH522 | Algebra II | Credits: 3 | ||
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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 | ONLINE | MW 11:20AM - 12:35PM | Suresh Venapally | 30 |
MATH528 | Algebraic Number Theory | Credits: 3 | ||
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Content: TBA | ||||
Texts: TBA | ||||
Assessments: TBA | ||||
Prerequisites: TBA | ||||
Section | Location | Meeting Time | Instructor | Enrollment (max) |
1 | ONLINE | MW 2:40PM - 3:55PM | Parimala Raman | 30 |
MATH536 | Combinatorics II | Credits: 3 | ||
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Content: This course is the second of the sequence of Math 535-536 and as such will continue to develop the topics from the first semester. Specific topics will include finite geometries, Hadermard matrices, Latin Squares, an introduction to design theory, extremal set theory and an introduction to combinatorial coding theory. | ||||
Texts: TBA | ||||
Assessments: TBA | ||||
Prerequisites: TBA | ||||
Section | Location | Meeting Time | Instructor | Enrollment (max) |
1 | ONLINE | MW 4:20PM - 5:35PM | Hao Huang | 30 |
MATH558 | Partial Differential Equations | Credits: 3 | ||
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Content: This course will introduce some of the basic techniques for studying and solving partial differential equations (PDE's) with special emphasis on applications. Included in the course are the following topics: 1. Basic concepts, sample problems, motivation 2. Maximum principles for elliptic and parabolic equations 3. Basic concepts of the theory of distributions 4. Method of fundamental solutions; Green's functions 5. Fourier transform 6. Variational methods, eigenvalues and eigenfunctions 7. Applications; Maxwell's equations, diffusion, geometric flows, image processing | ||||
Texts: TBA | ||||
Assessments: TBA | ||||
Prerequisites: TBA | ||||
Section | Location | Meeting Time | Instructor | Enrollment (max) |
1 | ONLINE | MW 9:40AM - 10:55AM | Maja Taskovic | 30 |
MATH590 | Teaching Seminar | Credits: 3 | ||
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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 | ONLINE | F 11:20AM - 12:35PM | Bree Ettinger | 30 |
MATH787R | Topics in Combinatorics | Credits: 3 | ||
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Content: TBA | ||||
Texts: TBA | ||||
Assessments: TBA | ||||
Prerequisites: TBA | ||||
Section | Location | Meeting Time | Instructor | Enrollment (max) |
1 | ONLINE | M 4:20PM - 5:35PM | Vojtech Rodl | 25 |