First, mathematics and applied mathematics undergraduate course
Freshmen:
The first semester:
Mathematical analysis I, analytic geometry, advanced algebra I
The second semester:
Mathematical analysis II, advanced algebra II
Second year of college:
The third semester:
Mathematical analysis III, abstract algebra I, * numerical algebra
The fourth semester:
Ordinary differential equations, complex variable function theory, probability theory, mathematical model, abstract algebra II
Third year of college:
The fifth semester:
Real variable function theory, differential geometry, partial differential equation, mathematical statistics, stochastic process, * numerical analysis.
The sixth semester:
Measurement theory, functional analysis, topology, * multivariate analysis
Fourth year of college:
The seventh semester:
Differential manifold, differential topology, * time series analysis, * regression analysis, * optimization method.
The eighth semester:
* Combinatorial Mathematics, * Elementary Number Theory, * Nonparametric Statistics
Second, teaching materials.
1. Mathematical analysis I
Mathematical analysis I (Peng Lizhong, Wu Shengjian, Tan Xiaojiang) (textbook)
2. Mathematical analysis 2
Mathematical Analysis II (Wu Shengjian, Tan Xiaojiang, Peng Lizhong) (textbook)
3 Mathematical analysis III
Mathematical Analysis Ⅲ (Tan Xiaojiang, Huang Jiedu, Wu Shengjian, Peng Lizhong) (textbook)
4. Advanced Algebra I
A Concise Course of Advanced Algebra (Part I) Peking University Publishing House
5. Advanced Algebra 2
A Concise Course of Advanced Algebra (Volume II) Peking University Publishing House
6. abstract algebra I
Abstract Algebra Foundation Qiu Higher Education Press
7. Analytic geometry
Analytic Geometry Qiu Peking University Publishing House
8. Probability theory
Introduction to Probability Theory Wang Peking University Publishing House
9. Ordinary differential equations
Ding Tongren, Course of Ordinary Differential Equations, Li Chengzhi Higher Education Press.
10. Theory of complex variable functions
A Course of Complex Variable Functions by Fang Peking University Publishing House.
1 1. Mathematical model
Lecture on Mathematical Model: Ray Peking University Publishing House
12. abstract algebra 2
Abstract algebra (offset) Xu,, 2003.
13. Theory of real variable function
Real Variable Function Zhou Minqiang Peking University Publishing House
14 differential geometry
Elementary Differential Geometry Chen Peking University Publishing House
15. Partial differential equations
Partial differential equations: Zhou, Peking University Publishing House.
16. Mathematical statistics
Lecture on mathematical statistics, Chen Jiading and other higher education press 1993.
17. Stochastic process
Qian Min Pinggong Guanglu Peking University Publishing House 1998.
18. Numerical analysis *
Zhang, self-edited lecture on numerical analysis, Li Tiejun.
19. Topology
The lecture on Topology Fundamentals was published by Peking University Publishing House.
20. Measure theory
Cheng's Lecture Notes on Measurement was published by Peking University Publishing House.
Yan Jiaan, author of Measurement and Integration, Shaanxi Normal University Press 1988.
2 1. functional analysis
Lectures on Functional Analysis (Volume I and Volume II), Qu Peking University Publishing House.
22. Differential manifold
Brief introduction of differential manifold Chen Higher Education Press
23. Differential topology
New Theory of Differential Topology Zhang Zhusheng Peking University Publishing House
24. Time series analysis *
Application of Time Series Analysis He Shuyuan Peking University Publishing House
25. Regression analysis *
Regression Analysis Zhou Huadong Normal University Press 1993
26. Optimization method *
Theory and method of optimization method, Yuan Yaxiang, Sun Wenyu Science Press.
27. Non-parametric statistics *
Lecture notes on nonparametric statistics Sun Shanze Peking University Publishing House 2000.
28. Elementary number theory *
Elementary number theory, Pan Chengdong, Pan Chengbiao Peking University Publishing House 199 1.
29. multivariate analysis *
Self-made class notes
30. Digital Algebra *