Mathematical Modeling
Date: 2018-10-24 Views: 14

Course name: Mathematical Modeling

  

Course Number: SMJ2232207    Credits: 3    

Course Description

Mathematical Modeling is one of professional required courses in mathematics major, which is cultivating students’ ability to solve practical problems with applying mathematical. This is a very technical course, students are required to establish model, solve the problem and test the model by computer. It contains the optimization theory, the differential equation, probability theory and the regression analysis. It is suitable for sophomore of our university. Throughout the course, we will instruct students in ability of abstract thinking and logical reasoning. And it is the antecedent course of other subsequent selective courses.

Course Learning Objectives

The student learning objectives are what student would be able to know and to do on the completion of this course. In details are:

1.Explain the properties of modeling and how to establish modeling.

2.Understand the modeling of differential equation.

3.Master the discrete modeling.

4.Be establishing model and use the standard models to interpret and analysis real problems.

Relationship to Other Courses

    Pre-requisites : Mathematical Analysis, Advanced Algebra, Ordinary Differential Equation, Operations Research and Mathematical Software.

Textbook and Reading Lists

   The textbook for this course is:

   Jiang Qiyuan, Xie jinxing, Ye Jun(2011), “Mathematical Modeling”, 4th edition. Higher Education Press.

Suggested reading lists:

   Ye Qixiao, Jiang Qiyuan(2009), “Mathematical Modeling”. Mechanical Industry Press.

Xie Jinxing, Xue Yi(2005), “Optimization Modeling and Software of LINDO/LINGO”.TsinghuaUniversity Press.

Course Assessment

  

Item

Title

Due Date

Value

1

Home   work

Every   week

10%

2

Questions   in class

Randomly   selected weeks

10%

3

Test   in class

Week   10

10%

4

Final   exam

Exam   period

70%

  

Course Schedule

  

Week

Topic

Text

Week   1

How to establish   model

Chapter 1

Week   2

Elementary model

Chapter 2

Week   3-4

Simple   optimization model

Chapter 3

Week   5-7

Mathematical   programming model

Chapter 4

Week   8-9

Ordinary differential   equation model

Chapter 5

Week   10

Week of   diathesis developing

  

Week   11

Difference   equation model

Chapter 6

Week   11-12

Stability model

Chapter 7

Week   13-14

Discrete model

Chapter 8

Week   15-16

Probability model

Chapter 9

Week   17-18

Regression model

Chapter 10

19

Final exam