MATH 464:
Projects for Mathematical Modeling
Section 001
Boise State University, Fall 2003

 
Instructor: Uwe Kaiser
Office: MG 238-A
Phone: (208) 426-2653
Fax: (208) 426-1356
E-mail: kaiser@math.boisestate.edu
Web Address: http://math.boisestate.edu/~kaiser

The Syllabus for Math 464.

The projects we will work on in this class strongly depend on the interests of the participants. We will discuss types and possibilities for projects during the first classes. Typically good sources for these projects can be found online. Get in touch with me for help!

There will be two different kinds of projects: The textbook projects and the open projects.


A.) Suggestions for open projects :

1) Mathematical modeling of traffic flow

2) GPS, CT and large systems of linear equations

3) Mathematical modeling of Evolution

4) Mathematical Modeling in Social Sciences

5) Mathematical Modeling in Psychology

6) Flight Simulation

7) Mathematical Modeling of Weather

8) Experiments with the Texas Instruments CBR



B.) Here is the tentative list of choices of the textbook projects. You will work on the corresponding sequences of problems from the book during certain class-times. It is not required that you have to solve all problems of the corresponding topic.

Important:: The groups have to choose their textbook projects such that all three parts of the book (Optimization Models, Dynamic Models and Probability Models) are discussed. Note that the Optimization Models are discussed in Chapter 1-3, Dynamic Models in Chapter 4-6, and Probability Models in Chapter 7-9. Here are possible combinations: Newspaper Problems+Docking Problems, Whale Problems+Inventory Problems, Newspaper Problems+Tree Problems+Bombing Run Problems

1) The Whale Problems:
Example 6.4;
Exercise 1.4: 5-5; Exercise 2.4: 1-4; Exercise 3.5: 5; Exercise 4.4: 4-7; Exercise 6.5: 6-11, 14, 22-25

2) The Newspaper Problems:
Exercise 2.4: 7-9; Exercise 3.5: 10,12

3) The Docking Problems:
Examples 4.3, 5.2;
Exercise 4.4: 11; Exercise 5.4: 12-15; Exercise 6.5: 4; Exercise 9.4: 5-6

4) RLC circuit problems:
Example 6.3;
Exercise 5.4: 9-11, Exercise 6.5: 15-18

5) Tree Problems:
Example 4.1;
Exercise 4.4: 1-3; Exercise 5.4: 8, 16, Exercise 6.5: 12-13

6) Inventory Problems:
Example 8.1;
Exercise 8.4: 1-4; Exercise 9.4: 3-4

7) Bombing Run Problems:
Example 9.4;
Exercise 9.4: 13-17



If you or your group intends to work on other textbook projects than listed above please contact me for details.

Homework Assignments:

due September 11: Exercise 1.4: 3 (20 points)

due October 9: Exercise 2.4: 5 (30 points)




This page was most recently updated on October 6, 2003.
http://math.boisestate.edu/~kaiser/teaching/m464_f03/projects.html