Current location - Training Enrollment Network - Mathematics courses - I want to be a math wizard, ask what to learn and read step by step, and teach myself! Because I like math very much, I used to get full marks in math.
I want to be a math wizard, ask what to learn and read step by step, and teach myself! Because I like math very much, I used to get full marks in math.
The book to be read may be: finish reading senior one mathematics first, and then go to college mathematics!

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 *