Lecture: TuTh: 5-6:40 PC 211
Instructor: Dr. Yuanchang Sun
Office Hours: TuTh 2-3
Office Location: 437C, DM
Phone and E-mail: (305)348-4959, yuasun@fiu.edu
Textbook: Topics in Mathematical Modeling, by K.K. Tung
Recommended references:
Prerequisites: Calculus and differential equations, computer programming experiences in Matlab.
Course Introduction: Learn how simple mathematics can help formulate and solve real problems of current research interests in a variety of fields, including biology, ecology, computer sciences, geophysics, engineering, and the social sciences.
Course topics : (maybe updated or added, and the topics are not necessarily in order)
Course Schedule (subject to change)
| week | planned topics |
| 1-2 | Introductions, Chapter 1.
Homework: hw1 |
| 3-4 | Chapter 2, 2.1-2.7. 3
Homework:hw2 due Sep 20 |
| 3 | Chapter 4: 4.1-4.6.
Homework: 4.7: 4, 5 |
| 4 | Chapter 5: 5.1-5.6
Homework: 5.7: 1, 4, 5 |
| 5 | Chapter 6:
Homework: 4,5 |
| 6 | Chapter 7, Logistic map, periodic and chaotic solutions.
Homework: 2,3 |
| 7.8 | Chapter 8, supplemental materials
Homework, 6 |
| 9,10 | Chapter 10?
Homework: |
| 11 | Chapter 11 |
| 12 | Chapter 12 |
| 13 | Chapter 13 |
| 14 | Additional materials |
| The last week | Student presentations |
Homework: (see the table above) Finished homework should be sent to yuasun (at)fiu.edu, NO hard copy of the homework is accepted.
Grade : 0% exam + 75% homework + 25% project and presentation
Projects and Presentations: Teams should consist <= 3 students. Topics will be selected on Nov 1. A brief presentation will be due at the end of the semester. Longer papers or combinations of related papers could serve as a project. In addition, groups of related problems from Tung or the recommended references may also serve as bases of projects. Reproduction of computational results from the papers is highly encouraged.
Possible topics and references for team projects and reports will be sent to you later this semester .