Analytic geometry

Mathematical analysis one, two, three

Advanced algebra I and II

ordinary differential equation

abstract algebra

Fundamentals of probability theory

function of a complex variable

Modern algebra

Professional core courses:

real variable function

partial differential equation

probability theory

analysis situs

functional analysis

differential geometry

Mathematical equation

Specialized elective courses:

Discrete Mathematics (last semester of sophomore year)

Numerical calculation and experiment (second semester of sophomore year)

Analysis (1)

Algebra (1)

Galois theory

complex analysis

algebraic number theory

Introduction to dynamic systems

Basic number theory

Partial differential equations (continued)

Geographical topology

theoretical mechanics

mathematical modeling

Differential topology

harmonic analysis

Geometric theory of ordinary differential equations

Selected lectures on analytical topics

Combinatorial Mathematics and Graph Theory

Category theory

Compact riemann surface

A Preliminary Study on Riemannian Geometry

Part of modern theory

Commutative algebra

algebraic topology

Homology algebra

Manifolds and geometry

Wavelet and harmonic analysis

Lie group lie algebra

Analysis Ⅱ

Algebra Ⅱ

algebraic k theory

algebraic geometry

Multi-repetition variable basis

Functional analysis (continued)