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 411412 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 535536 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 535536. We will discuss deletion method, The secondmoment method, LovaszLocal 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 