| 序号 | 课程介绍 | Curriculum |
| 1 | 高级代数 | ADVANCED ALGEBRA |
| 2 | 数学的先进技术 | ADVANCED TECHNIQUES IN MATHEMATICS |
| 3 | 功能分析和偏微分方程 | FUNCTIONAL ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS |
| 4 | 一般拓扑 | GENERAL TOPOLOGY |
| 5 | LIE代数 | LIE ALGEBRAS |
| 6 | 数学生物学和生理学 | MATHEMATICAL BIOLOGY AND PHYSIOLOGY |
| 7 | 数学流体力学 | MATHEMATICAL FLUID MECHANICS |
| 8 | 矩阵分析 | MATRIX ANALYSIS |
| 9 | 非线性波动方程 | NONLINEAR WAVE EQUATIONS |
| 10 | 量子力学 | QUANTUM MECHANICS |
| 11 | 变量计算 | CALCULUS OF VARIATIONS |
| 12 | 论文 | DISSERTATION |
| 13 | 几何力学 | GEOMETRIC MECHANICS |
| 14 | 图表和网络 | GRAPHS AND NETWORKS |
| 15 | 数学生态学与流行病学 | MATHEMATICAL ECOLOGY AND EPIDEMIOLOGY |
| 16 | 非交换代数 | NONCOMMUTATIVE ALGEBRA |
| 17 | 非线性模式 | NONLINEAR PATTERNS |
| 18 | PDES的数值解 | NUMERICAL SOLUTION OF PDES |
| 19 | 相对论量子力学 | RELATIVISTIC QUANTUM MECHANICS |
| 20 | 表示理论 | REPRESENTATION THEORY |
| 21 | 里曼几何 | RIEMANNIAN GEOMETRY |
