| MATH 512: Analysis II | Credits: 4 | − Description | − Sections |
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. Prerequisites: Students are expected to have the background of Math 411-412 sequence or the equivalent. |
| 000 | MSC: E406 | TuTh 11:30am - 12:45pm | Shanshuang Yang | max 16 |
| MATH 516: Numerical Analysis II | Credits: 4 | − Description | − Sections |
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. 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. |
| 000 | MSC: W304 | TuTh 2:30pm - 3:45pm | James Nagy | max 16 |
| MATH 522: Algebra II | Credits: 4 | − Description | − Sections |
Content: Continuation of 521. Topics: Modules, especially modules over a principal ideal domain, fields, Galois theory, representation of finite groups, Commutative algebra. Prerequisites: Math 521. |
| 000 | MSC: E408 | TuTh 1:00pm - 2:15pm | Victoria Powers | max 16 |
| MATH 536: Combinatorics II | Credits: 4 | − Description | − Sections |
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. |
| 000 | MSC: E406 | MWF 12:50pm - 1:40pm | Ron Gould | max 16 |
| MATH 578R: Seminar in Algebra | Credits: 1 - 12 | − Description | − Sections |
Content: Research topics in algebra of current interest to faculty and students. |
| 000 | MSC: W303 | Tu 4:00pm - 5:00pm | Eric Brussel | max 15 |
| MATH 579R: Seminar in Analysis | Credits: 4 | − Description | − Sections |
Content: Topics include: numerical methods for linear algebra, inverse problems and PDE's |
| 000 | MSC: W306 | W 12:50pm - 1:40pm | Eldad Haber | max 20 |
| MATH 590: Teaching Seminar | Credits: 4 | − Description | − Sections |
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. |
| 000 | MSC: W306 | W 3:00pm - 3:50pm | James Nagy | max 20 |
| MATH 597R: Directed Study | Credits: 1 - 12 | − Description | − Sections |
|
| 000 | | | Faculty (TBA) | max 0 |
| MATH 599R: Master's Thesis Research | Credits: 1 - 12 | − Description | − Sections |
|
| 000 | | | Faculty (TBA) | max 0 |
| MATH 787R: Topics in Combinatorics: Probabilistic & Extremal Methods | Credits: 4 | − Description | − Sections |
Content: This course will develop discrete probabilistic aspects of topics begun in Math 535-536. We will discuss deletion method, The second-moment method, Lovasz-Local Lemma and its applications. Large deviation inequalities, Derandomization and The Regularity lemma and its applications. |
| 000 | MSC: W303 | TuTh 10:00am - 11:15am | Vojtech Rodl | max 16 |
| MATH 788R: Topics in Algebra: Brauer Group and Related Structures | Credits: 4 | − Description | − Sections |
Content: We study the classical and cohomological Brauer group of a field, its role in algebraic geometry and number theory, and other applications. Topics include exponent and index of central simple algebras, splitting behavior, definition by descent, and Brauer Severi varieties. |
| 000 | MSC: E408 | TuTh 10:00am - 11:15am | Eric Brussel | max 16 |
| MATH 789R: Topics in Analysis: Computational Fluid Dynamics | Credits: 4 | − Description | − Sections |
Content: The course provides an introduction to numerical methods for the partial differential equations in fluid dynamics. This is a dynamic research field, so attention will be given also to recent proposals. The course will cover mainly incompressible fluids, however a part will be devoted to compressible fluid dynamics. A part of the course will be given in the Computer Room. |
| 000 | MSC: W302 | TuTh 11:30am - 12:45pm | Alessandro Veneziani | max 16 |
| MATH 797R: Directed Study | Credits: 1 - 12 | − Description | − Sections |
|
| 000 | | | Faculty (TBA) | max 0 |
| MATH 799R: Dissertation Research | Credits: 1 - 12 | − Description | − Sections |
|
| 000 | | | Faculty (TBA) | max 0 |
