| |
Course
|
Credits
|
Semester
|
|
Module A
|
Courses of advanced sciences offered by the School of Mathematical Sciences
|
|
|
|
1
|
Mathematics Analysis I
|
5
|
1st Semester
|
|
2
|
Mathematics Analysis II
|
5
|
2nd Semester
|
|
3
|
Mathematics Analysis III
|
4
|
1st Semester
|
|
4
|
Advanced Algebra I
|
5
|
1st Semester
|
|
5
|
Advanced Algebra II
|
4
|
2nd Semester
|
|
6
|
Geometry
|
5
|
1st Semester
|
|
7
|
Probability Theory
|
3
|
2nd Semester
|
|
Module B
|
Core courses offered by the School of Mathematical Sciences
|
|
|
|
1
|
Abstract Algebra
|
3
|
1st Semester
|
|
2
|
Function of Complex Variable
|
3
|
2nd Semester
|
|
3
|
Ordinary Differential Equations
|
3
|
2nd Semester
|
|
4
|
Mathematical Models
|
3
|
2nd Semester
|
|
Module C
|
Specialized basic courses offered by the Department of Mathematics
|
|
|
|
1
|
Basic Theory of Numbers
|
3
|
1st Semester
|
|
2
|
Groups and Representations
|
3
|
2nd Semester
|
|
3
|
Basis of Algebraic Geometry
|
3
|
2nd Semester
|
|
4
|
Topology
|
3
|
1st Semester
|
|
5
|
Differential Geometry
|
3
|
1st Semester
|
|
6
|
Differentiable Manifolds
|
3
|
2nd Semester
|
|
7
|
Real Variable Function
|
3
|
1st Semester
|
|
8
|
Functional Analysis
|
3
|
2nd Semester
|
|
9
|
Partial Differential Equations
|
3
|
1st Semester
|
|
Module D
|
Mini-courses offered by the Department of Mathematics
|
|
|
|
1
|
Topics of Mathematics Analysis II
|
2
|
2nd Semester
|
|
2
|
Topics of Mathematics Analysis III
|
2
|
1st Semester
|
|
3
|
Topics of Advanced Algebra II
|
2
|
2nd Semester
|
|
4
|
Algebra Seminar
|
3
|
2nd Semester
|
|
5
|
Geometry Seminar
|
3
|
2nd Semester
|
|
6
|
Analysis Seminar
|
3
|
1st Semester
|
|
7
|
Topics of Core Mathematics I
|
2
|
2nd Semester
|
|
8
|
Topics of Core Mathematics II
|
2
|
1st Semester
|
|
Module E
|
Courses of second category offered by the Department of Mathematics
|
|
|
|
1
|
Geometry II
|
4
|
2nd Semester
|
|
2
|
Mathematical Logic
|
3
|
1st Semester
|
|
3
|
Combinatorial Mathematics
|
3
|
2nd Semester
|
|
4
|
Cryptology
|
3
|
2nd Semester
|
|
5
|
Modular form
|
3
|
irregularly scheduled
|
|
Module F
|
Master's courses
|
|
|
|
1. Analysis and Equation
|
Real Analysis, Harmonic Analysis, Complex Analysis, Functional Analysis II, Qualitative Theory of Ordinary Differential Equations, Second-order Elliptic Equations, Hyperbolic Equations, Dynamical System, Ergodic Theory, Basis of Nonlinear Analysis, Calculus of Variations, Several Complex Variables
|
|
2. Algebra and Number Theory
|
Abstract Algebra II, Exchange Algebra, Group Theory, Group Representation, Number Theory I, Number Theory II, Algebraic Geometry I, Algebraic Geometry II, Lie group and Lie algebra, Homological Algebra, Geometric Representation Theory, Modular Form, Cryptography, Finite Field
|
|
3. Geometry and Topology
|
Introduction to Riemannian Geometry, Homology, Differential Topology, Fiber Bundles and Characteristic Classes, Homotopy Theory, Riemann Surface Theory, Complex Geometry, Symplectic Geometry, Hyperbolic Geometry, Low-dimensional Manifold, Geometric Group Theory
|
|
4. Mathematical Physics
|
Mathematical methods in classical mechanics, Gromov-Witten Invariants
|
|
Module G
|
Other courses
|
|
|
|
1
|
Guide to Mathematics
|
1
|
1st Semester
|
|
2
|
Public and Basic Courses
|
30-36
|
|
|
3
|
Courses offered by the Division of Sciences apart from the School of Mathematical Sciences
|
8
|
|
|
4
|
Graduation Thesis
|
3
|
|
|
5
|
Liberal Course and Elective Course
|
27
|
|
