## Summer 2010

**For Detailed Course Outlines, click on ***course numbers.*

*course numbers.*

*Please note that the Problem Lab courses to review for the PhD Qualifying Exams in Analysis, Topology, and Algebra have been renumbered for this summer.*

- 4999-1 and 4999-2 Problem Labs in Real Analysis-1 and Topology-1 respectively---practice for PhD Qualifying Exams in Analysis and in Topology. Prof. Cygan.
- 4999-3 Problem Lab in Algebra-1---practice for PhD Qualifying Exam in Algebra. Prof. Perlis.
- 7999-1 and 7999-2 Vertically Integrated Research and Mentoring. Prof. Davidson.
- 7999-n Assorted Individual Reading Classes
- 8000-n Assorted Sections of MS-Thesis Research
- 9000-n Assorted Sections of Doctoral Dissertation Research

## Fall 2010

**For Detailed Course Outlines, click on ***course numbers.*

*course numbers.*

Core courses and Breadth courses are listed in **bold**.

- 4997-1 Vertically Integrated Research: Equivariant cohomology---Algebra and the shape of space. Prof. Sage.
- 4997-2 Vertically Integrated Research: Lyapunov Functions, Stabilization, and Engineering Applications. Prof. Malisoff.
- 4997-3 Vertically Integrated Research: Cluster Algebras. Prof. Yakimov and Dr. Muller.
- 4997-4 Vertically Integrated Research: The colored Jones polynomial. Profs. Dasbach, Stoltzfus, and Dr. Russell.
- 7001 Communicating Mathematics I. Prof. Oporowski.
- 7210
**Algebra I.**Prof. Yakimov. - 7280-1 Commutative Algebra and Algebraic Geometry I. Prof. Madden.
- 7280-2 Elliptic Curves and Modular Forms. Prof. Hoffman.
- 7290-1 Algebraic Number Theory. Prof. Perlis.
- 7290-2 Lie Theory. Prof. Achar.
- 7311
**Real Analysis I.**Prof. Davidson. - 7350
**Complex Analysis.**Prof. Estrada. - 7360
**Probability Theory.**Prof. Kuo. - 7380-1 Radon Transforms and Integral Geometry. Prof. Rubin.
- 7380-2 Numerical solution of Stochastic Partial Differential Equations. Prof. Wan.
- 7380-3 Applied Stochastics. Prof. Sengupta.
- 7386 Theory of Partial Differential Equations. Prof. Almog.
- 7390-1 Harmonic Analysis-I. Prof. Olafsson.
- 7490 Combinatorial Optimization. Prof. Ding.
- 7510
**Topology I.**Prof. Litherland. - 7520 Algebraic Topology. Prof. Stoltzfus.
- 7590 4-Manifolds. Prof. Baldridge.
- 7999-n Assorted Individual Reading Classes
- 8000-n Assorted Sections of MS-Thesis Research
- 9000-n Assorted Sections of Doctoral Dissertation Research

## Spring 2011

**For Detailed Course Outlines, click on ***course numbers.*

*course numbers.*

Core courses and Breadth courses are listed in **bold**.

- 4997-1 Vertically Integrated Research: Equivariant cohomology---Algebra and the shape of space. Profs. Sage and Achar.
- 4997-2 Vertically Integrated Research: Mathematical Problems in Quantum Information Theory. Prof. Lawson.
- 4997-3 Vertically Integrated Research: Cluster Algebras. Prof. Yakimov and Dr. Muller.
- 4997-4 Vertically Integrated Research: Representations of knot groups. Profs. Dasbach, Stoltzfus, and Dr. Russell.
- 7002 Communicating Mathematics II. Prof. Oxley.
- 7211
**Algebra II.**Prof. Adkins. - 7280-1
**Numerical Linear Algebra.**Prof. Walker. - 7280-3 Algebraic Geometry II. Prof. Sage.
- 7290 Class Field Theory. Prof. Morales.
- 7320
**Ordinary Differential Equations.**Prof. Malisoff. - 7330
**Functional Analysis.**Prof. Lipton. - 7380-1 Singular Integrals. Prof. Nguyen.
- 7380-2 Convex Optimization. Prof. Zhang.
- 7384 Applied Analysis in the Materials Sciences. Prof. Bourdin.
- 7390-1 Harmonic Analysis II (Classical Groups). Prof. He.
- 7390-2 Stochastic Analysis. Prof. Kuo.
- 7400
**Graph Theory.**Prof. Oporowski. - 7490 Matroid Theory. Prof. Oxley.
- 7512
**Topology II.**Prof. Dasbach. - 7550
**Differential Geometry.**Prof. Dani. - 7590-1 Geometric Topology Skein Theory. Prof. Gilmer.
- 7590-2 Contact Topology. Prof. Russell.
- 7999-n Assorted Individual Reading Classes
- 8000-n Assorted Sections of MS-Thesis Research
- 9000-n Assorted Sections of Doctoral Dissertation Research