| MATH 512: Analysis II | Credits: 3 | − 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. Texts: TBA Assessments: TBA Prerequisites: Students are expected to have the background of Math 411-412 sequence or the equivalent. |
| 000 | MSC: W303 | MW 8:30am - 9:45am | David Borthwick | max 20 |
| MATH 516: Numerical Analysis II | Credits: 3 | − 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. 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). |
| 000 | MSC: W303 | TuTh 11:30am - 12:45pm | James Nagy | max 35 |
| MATH 522: Algebra II | Credits: 3 | − Description | − Sections |
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. |
| 000 | MSC: E408 | TuTh 10:00am - 11:15am | Suresh Venapally | max 16 |
| MATH 536: Combinatorics II | Credits: 3 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: E406 | MW 2:30pm - 3:45pm | Hao Huang | max 16 |
| MATH 558: Partial Differential Equations | Credits: 3 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: E406 | TuTh 10:00am - 11:15am | Vladimir Oliker | max 16 |
| MATH 561: Matrix Analysis | Credits: 3 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: W306 | TuTh 2:30pm - 3:45pm | Michele Benzi | max 25 |
| MATH 577R: Seminar in Combinatorics | Credits: 3 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: W303 | M 4:00pm - 5:00pm | Dwight Duffus | |
| MATH 579R: Seminar in Analysis | Credits: 1 - 12 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 001 | | | Vladimir Oliker | |
| 002 | MSC: W301 | F 1:00pm - 2:00pm | James Nagy | |
| MATH 590: Teaching Seminar | Credits: 3 | − 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. Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: W306 | F 11:00am - 11:50am | Bree Ettinger / Steven La Fleur | max 16 |
| MATH 597R: Directed Study | Credits: 1 - 9 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 00P | MSC | | Faculty (TBA) | max 999 |
| MATH 599R: Master's Thesis Research | Credits: 1 - 9 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 00P | MSC: ----- | | Faculty (TBA) | |
| MATH 772: Numerical Partial Differential Equations | Credits: 3 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: E406 | MW 1:00pm - 2:15pm | Alessandro Veneziani | |
| MATH 787R: Topics in Combinatorics | Credits: 3 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: E408 | TuTh 11:30am - 12:45pm | Vojtech Rodl | |
| MATH 788R: Topics in Algebra: Algebraic Groups | Credits: 3 | − Description | − Sections |
Content: The course will consist of the following distinct components :
1. Structure theory of reductive groups over algebraically closed fields : Overview of objects and notions such as tori, solvable groups, Lie algebras, Jordan decomposition. Conjugacy of Borel subgroups and maximal tori, root systems, Bruhat decomposition, representation and classification of semi simple groups in terms of root systems.
2. Galois cohomology of linear algebraic groups : Classical groups and algebras with involutions, Steinberg's theorem, dimension two fields and Serre's conjecture, cohomological invariants and a discussion on some open questions in this area. Texts: TBA Assessments: TBA Prerequisites: TBA |
| MATH 788R: Topics in Algebra: Representation Theory | Credits: 3 | − Description | − Sections |
Content: This is an introduction to representation theory. The first part of the course focuses on finite-dimensional characteristic zero representations of finite groups. The second part develops Lie algebra theory as a tool for studying representations of Lie groups. The last part introduces vertex operator algebras and the role they play in tying the finite and Lie theories together. Concrete examples are emphasized throughout. Texts: TBA Assessments: TBA Prerequisites: TBA |
| 000 | MSC: E406 | MW 11:30am - 12:45pm | John Duncan | |
| MATH 797R: Directed Study | Credits: 1 - 9 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 00P | MSC | | Faculty (TBA) | |
| MATH 799R: Dissertation Research | Credits: 1 - 9 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |
| 00P | MSC | | Faculty (TBA) | |
