MATH 656 Mathematical Modeling
Dr. Yaping Liu, Office: YH 202, Phone: 235-4402, E-mail: yliu@pittstate.edu
Course Description
Building and analyzing models of
problems arising from engineering, business, biological sciences, and many other disciplines using various techniques in mathematics including algebra, geometry, trigonometry, calculus, difference equations, differential equations, and probability. Computers are used
to help study the quantitative behavior of the models.
Prerequisite: MATH 155 Calculus II and MATH 212 Matrix Algebra. Credit: three hours.
Course Objectives
- The student will learn how to describe the problems arising from other disciplines in mathematical terms and set up the appropriate mathematical models
- The student will learn how to analyze the models using mathematical techniques and computers
- The student will learn how to interpret the results of the models in terms of the real world problems and critically evaluate their implications
- The student will develop the mathematical skills and problem solving techniques needed in the modeling process
Course Content
- Mathematical Modeling Process
- Mathematical Techniques Used in the Modeling
- Individual Projects
- Group Projects
Instructional Resources
handouts
Evaluation
| One Test | 150 points |
| Three Homework Sets (50 points each) | 150 points |
| Four Individual Projects (50 points each) | 200 points |
| Three Group Projects (50 points each) | 150 points |
| One Final Group Project | 100 points |
| Class Participation | 50 points |
| Total | 800 points |
Grading Scale.
[90%, 100%]:A, [80%, 90%):B, [70%, 80%):C, [60%, 70%):D, [0%, 60%):F
Attendance. Attendance is required as part of class participation.
Studying
- Many of the projects and some of the homework problems will be discussed in the class. You will be asked to work in groups and share your ideas with the group and the class. Participation of everyone is required. Questions are always welcome in the class.
- Start working on the projects well before the due dates. Credit will be taken off for late reports and late homework.
- The use of computers is encouraged. For many of the calculations a simple program can be a great help. You need to be familiar with a word processor to prepare your reports.
- When you have trouble, seek help immediately. Call me, e-mail me, visit my office, or make an appointment with me.