AMATH 383: Introduction to Continuous Mathematical Modeling

TTh 2:30-3:50, SIG 134
(Prerequisites: AMATH 351 or MATH 307)

Instructor:

Professor Hong Qian
Lewis Hall 319
tel: 543-2584
fax: 685-1440
office hours: W: 10:30-12:30
and

Teaching Assistants:

Ms. Alanna Gary
tel: 685-
fax: 685-
office hours: Th: 12:00-2:00
Lewis Hall 128


Course description Textbook Syllabus Schedule

Course Description

Introductory survey of applied mathematics with emphasis on modeling of physical and biological problems in terms of differential equations. Formulation, solution, and interpretation of the results.

Textbook

Topics in Mathematical Modeling, by K.K. Tung, Princeton University Press, Hardcover. (It is available at the University Book Store.)

Syllabus

Schedule and Homework

Homework and Exams Homework Due Date Homework Problem Sets Homework Solutions
First day of classes Tuesday, March 27
Thursday, March 29 due Thu. April 5 Homework # 1
Thursday, April 5 due Thu. Apr. 12 Homework # 2
Thursday, April 12 due Thu. Apr. 19 Homework # 3
Thursday, April 19 due Thu. Apr. 26 Homework # 4
Thursday, April 26 due Thu. May 4 Homework # 5
Tuesday, May 15 Guest lecture
Thursday, May 17 Guest lecture
Last day of lectures Thursday, May 31
Friday, June 1 Term paper Due

Grading

There will be no exams. There will be 5 homework assignments, each counting 10% towards the final grade. There is a term paper (40% of the final grade). The remaining 10% is for class participation.

Additional Course Materials, Notes, etc.

Week 1: Lecture 1, Lecture 2.

Week 2: Lecture 3, Lecture 4.

Week 3: Lectures 5 and 6.

Week 4: Mechanics, Population kinetics.

Week 5: Nonlinear population dynamics: Bistability and bifurcations, Competition between two populations.

Week 6: Stochastic population dynamics.

Week 8: Sustained oscillation and Hopf bifurcation.


<hqian@u.washington.edu> Tue Dec 7 16:30:37 PST 2015