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)
000 MSC W303 MW      8:30AM - 9:45AM David Borthwick 20
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)
000 MSC W303 TuTh      11:30AM - 12:45PM James Nagy 35
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.
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000 MSC E408 TuTh      10:00AM - 11:15AM Suresh Venapally 16
MATH536 Combinatorics II Credits: 3
Content: TBA
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Prerequisites: TBA
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000 MSC E406 MW      2:30PM - 3:45PM Hao Huang 16
MATH558 Partial Differential Equations Credits: 3
Content: TBA
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Prerequisites: TBA
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000 MSC E406 TuTh      10:00AM - 11:15AM Vladimir Oliker 16
MATH561 Matrix Analysis Credits: 3
Content: TBA
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Prerequisites: TBA
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000 MSC W306 TuTh      2:30PM - 3:45PM Michele Benzi 25
MATH577R Seminar in Combinatorics Credits: 3
Content: TBA
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Prerequisites: TBA
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000 MSC W303 M      4:00PM - 5:00PM Dwight Duffus
MATH579R Seminar in Analysis Credits: 1-12
Content: TBA
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Section Location Meeting Time Instructor Enrollment (max)
001        Vladimir Oliker
002 MSC W301 F      1:00PM - 2:00PM James Nagy
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.
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Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
000 MSC W306 F      11:00AM - 11:50AM Bree Ettinger 16
MATH597R Directed Study Credits: 1-9
Content: TBA
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00P        999
MATH599R Master's Thesis Research Credits: 1-9
Content: TBA
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00P MSC -----       
MATH772 Numerical Partial Differential Equations Credits: 3
Content: TBA
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000 MSC E406 MW      1:00PM - 2:15PM Alessandro Veneziani
MATH787R Topics in Combinatorics Credits: 3
Content: TBA
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Prerequisites: TBA
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000 MSC E408 TuTh      11:30AM - 12:45PM Vojtech Rodl
MATH788R Topics in Algebra: Algebraic Groups Credits: 3
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.
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MATH788R Topics in Algebra: Representation Theory Credits: 3
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.
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Prerequisites: TBA
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000 MSC E406 MW      11:30AM - 12:45PM John Duncan
MATH797R Directed Study Credits: 1-9
Content: TBA
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Prerequisites: TBA
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00P       
MATH799R Dissertation Research Credits: 1-9
Content: TBA
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Prerequisites: TBA
Section Location Meeting Time Instructor Enrollment (max)
00P