## Summer 2009

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

*course numbers.*

- 7999-1 and 7999-2 Vertically Integrated Research and Mentoring. Prof. Davidson.
- 7999-3 and 7999-4 Analysis and Topology Problem Labs---Qualifier Preparation. Prof. Cygan.
- 7999-n Assorted Individual Reading Classes
- 8000-n Assorted Sections of MS-Thesis Research
- 9000-n Assorted Sections of Doctoral Dissertation Research

## Fall 2009

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

*course numbers.*

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

- 4999-1 Vertically Integrated Research: Physics and Group Representation. Prof. He and Prof. Olafsson.
- 4999-3 Vertically Integrated Research: Visualization of knots on surfaces. Profs. Dasbach, Stoltzfus and Russell.
- 4999-4 Vertically Integrated Research: Equivariant cohomology: Algebra and the Shape of Space. Prof. Sage.
- 4999-5 Vertically Integrated Research: Complex Materials and Fluids. Prof. Lipton with S. Armstrong.
- 7001 Communicating Mathematics I. Prof. Oxley.
- 7210
**Algebra I.**Prof. Schlichting. - 7280 Hopf Algebras and Quantum Groups. Prof. Yakimov.
- 7290 Representations of Finite-Dimensional Algebras. Prof. Achar.
- 7311
**Real Analysis I.**Prof. Davidson. - 7330
**Functional Analysis.**Prof. Rubin. - 7360
**Probability Theory.**Prof. Sengupta. - 7370 Representations of Lie Groups. Prof. Olafsson.
- 7380-1 Numerical Optimization. Prof. Zhang.
- 7380-3 Partial Differential Equations. Prof. Shipman.
- 7490 Graph Minors. Prof. Ding.
- 7510
**Topology I.**Prof. Baldridge. - 7520 Algebraic Topology. Prof. Cohen.
- 7590 Graphs on Surfaces (a.k.a. Dessins d'Enfant). Prof. Stoltzfus.
- 7999-n Assorted Individual Reading Classes
- 8000-n Assorted Sections of MS-Thesis Research
- 9000-n Assorted Sections of Doctoral Dissertation Research

## Spring 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: Combinatorics. Profs. Guoli Ding and Mark Bilinski.
- 4997-3 Vertically Integrated Research: Dimer models and knot theory. Profs. Dasbach, Stoltzfus, and Russell.
- 4997-4 Vertically Integrated Research: Computational Mathematics. Prof. Li-yeng Sung.
- 4997-5 Vertically Integrated Research: Group Representations and Physics. Profs. Olafsson and He.
- 7002 Communicating Mathematics II. Prof. Oxley.
- 7211
**Algebra II.**Prof. Delzell. - 7280-1
**Numerical Linear Algebra.**Prof. Xiaoliang Wan. - 7280-2 Algebraic Curves. Prof. Morales.
- 7290 Homological Algebra. Prof. Sage.
- 7320
**Ordinary Differential Equations.**Prof. Malisoff. - 7350
**Complex Analysis.**Prof. Estrada. - 7380-1 Evolution Equations. Prof. Neubrander.
- 7380-2 Variational Inequalities. Prof. Sung.
- 7380-3 Applied Stochastic Analysis. Prof. Sundar.
- 7384 Applied Analysis in the Materials Sciences. Prof. Lipton
- 7400
**Graph Theory.**Prof. Oporowski. - 7490 Matroid Theory. Prof. Oxley.
- 7512
**Topology II.**Prof. Gilmer. - 7550
**Differential Geometry.**Prof. Litherland. - 7590-1 Geometric Topology. Prof. Dasbach.
- 7590-2 Seiberg-Witten-Floer Theory. Prof. Baldridge.
- 7999-n Assorted Individual Reading Classes
- 8000-n Assorted Sections of MS-Thesis Research
- 9000-n Assorted Sections of Doctoral Dissertation Research