| | Master’s Degree Pure Mathematics |
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| | 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 |