Mathematical Modeling
Date: 2018-10-10 Views: 16

Mathematical Modeling

Course No.: SMH1133138     Credit(s):3

  

Course Description

Mathematical Modeling is a mathematical technology course designed to cultivate students' mathematical modeling ability, apply computer software to solve problems and test the established models. This course emphasizes case-by-case analysis, balanced and reasonable treatment of theory and application.

Course Learning Outcomes

After studying the course, students can build mathematical models using appropriate mathematical tools under appropriate assumptions and apply the appropriate mathematical software for problems solving, and make a deep analysis on the results of the original problems, in order to have a deeper understanding of the objects.

Relationship to Other Courses

Pre-requisites: Mathematical Analysis, Advanced Algebra,Ordinary Differential Equations, Operations Research, Mathematical Software

Textbook and Reading Lists

Textbook:

Qiyuan Jiang, Jinxing Xie, Jun Ye, Mathematical model (4th edition). Higher Education Press, 2011.

Suggested reading lists:

Qixiao Ye, Qiyuan Jiang, Mathematical model. Beijing: China Machine Press, 2009.

Jinxing Xie, Yi Xue, Optimize Modeling and LINDO/LINGO Software. Beijing: Tsinghua University Press, 2005.

Yongji Tan, Xiaoming Zhu, A Course of Case in Mathematical Model of Economic Management. Beijing: Higher Education Press, 2006.

Course Assessment

Item

Title

Weighting (%)

1

Task   in home

10%

2

Test   and Questions in class

10%

3

Final   exam

80%

Course Schedule

Week

Topics

Text

1

Mathematical   Modeling and Competition Presentation

Mathematical   Model

Chapters 1

2-3

Elementary   Model

Chapters 2

4-5

Simple   Optimization Model

Chapters 3

6-8

Mathematical   Programming Model

Chapters 4

9-11

Differential   Equation Model

Chapters 5

12

Stability   Model

Chapters 6

13

Difference   Equation Model

Chapter 7

14-15

Discrete   Model

Chapter 8

16-17

Probability   Model

Chapter 9

18

Statistical   Regression Model

Chapter 10