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  |     |