| Master’s Degree Pure Mathematics |
|
|
| Compulsory Course | Class Hour | Credit |
1 | Functional Analysis (I) | 48 | 3 |
2 | Algebraic Topology (I) | 48 | 3 |
3 | Abstract algebra | 48 | 3 |
4 | Differential Geometry | 48 | 3 |
5 | Elementary of measure theory and probability | 48 | 3 |
6 | Real and Complex analysis | 48 | 3 |
7 | Partial differential equations | 48 | 3 |
8 | Theory of Lie Groups | 48 | 3 |
9 | Functional Analysis(II) | 48 | 3 |
10 | Algebraic Topology(II) | 48 | 3 |
11 | Representation Theory of Lie Groups and Lie Algebras | 48 | 3 |
12 | Topological Vector Spaces | 48 | 3 |
13 | Riemannian Geometry | 48 | 3 |
14 | Ordinary Differential Equations | 48 | 3 |
15 | Dynamical Systems | 48 | 3 |
16 | Descriptive Set Theory | 48 | 3 |
17 | General Topology | 48 | 3 |
18 | Computational Harmonic Analysis | 48 | 3 |
19 | Commutative algebra | 48 | 3 |
20 | Geometric analysis | 48 | 3 |
21 | Nonlinear Functional Analysis | 48 | 3 |
| Elective Course | Class Hour | Credit |
1 | Homological Algebra | 48 | 3 |
2 | Generalized homology theory | 48 | 3 |
3 | Foundations of Fourier Analysis | 48 | 3 |
4 | Differrential geometry, Lie groups and Homogeneous spaces | 48 | 3 |
5 | Representation Theory of Reductive Lie Groups | 48 | 3 |
6 | Symmetric spaces | 48 | 3 |
7 | Finsler Geometry | 48 | 3 |
8 | Index theory for Hamiltonian systems | 48 | 3 |
9 | Symplectic Geometry and Symplectic Topology | 48 | 3 |
10 | Symplectic Geometry and Complex Geometry | 48 | 3 |
11 | Lattice Dynamical Systems | 48 | 3 |
12 | Variational Methods | 48 | 3 |
13 | Mathematical Methods of Classical Mechanics | 48 | 3 |
14 | Nonlinear Analysis I | 48 | 3 |
15 | Critical Point Theory and its Applications | 48 | 3 |
16 | Borel equivalence relations | 48 | 3 |
17 | Banach Space and Descriptive Set Theory | 48 | 3 |
18 | Effective Descriptive Set Theory | 48 | 3 |
19 | Combinatorial Commutative Algebra | 48 | 3 |
20 | Toric topology | 48 | 3 |
21 | Singular Integral Operators | 48 | 3 |
22 | Differential Topology | 48 | 3 |
23 | Fibre Bundles | 48 | 3 |
24 | Algebraic Topology | 48 | 3 |
25 | Homotopy Theory | 48 | 3 |
26 | Stable homotopy groups of spheres | 48 | 3 |
27 | Lie Algebras | 48 | 3 |
28 | Lie Superalgebras | 48 | 3 |
29 | Polish groups and Polish group actions | 48 | 3 |
30 | Rational Homotopy Theory | 48 | 3 |
31 | Differential Dynamical Systems | 48 | 3 |
32 | Dynamical Systems and its Applications | 48 | 3 |
33 | Nonlinear Partial Differential Equations | 48 | 3 |
34 | Elliptic Partial Differential Equations | 48 | 3 |
35 | Applied Partial Differential Equations | 48 | 3 |
36 | Practice | 240 | 2 |