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Section 01 & 16334
Jing Li
Office: Live Oak Hall (LO), Room 1303C
Phone: 818-677-7799
E-mail: jing.li(at)csun(dot)edu
Office hours: Mondays & Wednesdays 1:00pm - 2:00pm or by
appointment (email)
Midterm Exam : (date to be announed) in class.
Mondays & Wednesdays 11:00 am - 12:15 pm in LO (Live Oak Hall) 1326
Topics in Mathematical Modeling By K.K. Tung, Princeton University Press, 2007.
I will post all assigments, solutions and additional material in this
space. You should therefore consult this spot frequently.
Course Syllabus
| Week | Date | Topics covered | Homework | Reading Instructions | Additional Material |
|---|---|---|---|---|---|
| 1 | Jan 19 & 21 |
Martin Luther King, Jr. Day
(no class on Jan 19)
Introduction |
|
Chapter 1 (Tung's book) |
|
| 2 | Jan 26 & 28 |
Chapter 1: Fibonacci Numbers, the Golden Ratio, and Laws of
Nature?
|
Homework 1 | Chapter 2 (Tung's book) |
Lecture notes for Chapter 1 |
| 3 | Feb 2 & 4 |
Chapter 1 cont'd
Chapter 2: Scaling Laws of Life, the Internet, and Social Networks |
|
Chapter 2 cont'd (Tung's book) |
|
| 4 | Feb 9 & 11 |
Chapter 2 cont'd
Chapter 3: Modeling Change One Step at a Time |
Homework 2
|
Chapter 3 (Tung's book)
|
|
| 5 | Feb 16 & 18 |
Chapter 3 cont'd
Chapter 7: Discrete Time Logistic Map, Periodic and Chaotic Solutions |
Chapter 7 (Tung's book)
|
|
|
| 6 | Feb 23 & 25 |
Chapter 7 cont'd
Chapter 4: Differential Equation Models: Carbon Dating, Age of the Universe, HIV Modeling |
Homework 3 | Chapter 4 (Tung's book) | |
| 7 | Mar 2 & 4 |
Chapter 5: Modeling in the Physical Sciences, Kepler, Newton, and Calculus
|
Chapter 5 (Tung's book) | ||
| 8 | Mar 9 & 11 |
Chapter 6: Nonlinear Population Models: An Introduction to
Qualitative Analysis Using Phase Planes
|
Homework 4 |
Chapter 6 (Tung's book) | MATLAB Tutorial at tutorialspoint. |
| 9 | Mar 16 & 18 |
Chapter 8: Snowball Earth and Global Warming
|
Chapter 8 (Tung's book) | ||
| 10 | Mar 23 & 25 |
Chapter 8: cont'd
|
Homework 5 |
Chapter 9 (Tung's book) |
|
| 11 | Mar 30 & April 1 |
Chapter 9: Interactions: Predator-Prey, Spring of Pest, Carnivores in Australia
|
Homework 6 |
Course Project Relevant Readings |
|
| 12 | April 6 & 8 | Spring Recess; No Instruction | Course Project Relevant Readings | ||
| 13 | April 13 & 15 |
Chapter 9: cont'd
Dimension Analysis More predator-prey models |
|
Course Project Relevant Readings | |
| 14 | April 20 & 22 |
Midterm
Cycle or not Cycle |
Course Project Relevant Readings |
||
| 15 | April 27 & 29 |
Hopf Bifurcation
Limit Cycle |
Practice Problem Set |
Course Project Relevant Readings |
|
| 16 | May 4 & 6 | Chapter 10: Modeling of Infectious Diseases | Course Project Relevant Readings |
||
| 17 | Final Exam Week | Final Exam on May 13, 2015 |