Sample Course Descriptions Document
When submitting applications to our department's graduate programs it is helpful if you provide us with a table of all the mathematics related courses that you have taken. A sample table is below. It is very helpful for us to know the textbooks used and to have a course description.
You may prepare this table as a Word document or a PDF and upload it to the graduate application system.
| Course Title | Number | Institution and Year Taken | Textbook(s) Used | Course Description | Grade |
|---|---|---|---|---|---|
| Dynamical Systems | MST 792 |
Wake Forest, 2022 |
Differential Dynamical Systems J.D. Meiss |
Introduction to modern theory of dynamical systems including: linear and nonlinear autonomous differential equations, invariant sets, closed orbits, Poincare maps, structural stability, center manifolds, normal forms, local bifurcations of equilibria, linear and non-linear maps, hyperbolic sets, attractors, symbolic representation, fractal dimensions, and Hamiltonian Dynamics |
Currently registered |
| Abstract Algebra | MST 721 | Wake Forest, 2021 | Algebra: Chapter Zero, Aluffi | The following were studied with a focus on categorical foundations: Groups, rings, fields, extensions, Euclidean domains, polynomials, vector spaces. |
A |
| Real Analysis | MST 711 | Wake Forest, 2021 | A Second Coures in Real Analysis, Raynor and Robinson | Elements of Functional Analysis including: Metric Spaces, The Contraction Mapping Theorem, Normed Linear Spaces, Completion of a Metric Space, Function Spaces, Compact Embeddings, Rellich Kondrachov, Calculus on Normed Linear Spaces, Frechet Differentiability, and The Inverse and Implicit Function theorems |
A |