MATH 592C (Spring 2014): Topics in Applied Mathematics



Section and Class Number


Section 01 & 18390

Instructor


Jing Li

Contact information:


Office:  Live Oak Hall (LO), Room 1303C
Phone: 818-677-7799
E-mail: jing.li(at)csun(dot)edu

Office hours: Mondays & Wednesdays 2:00pm - 3:00pm or by appointment (email)

Midterm Exams


Midterm Exam : (date to be announed) in class.

Lecture times and locations


Mondays & Wednesdays 3:30 pm - 4:45 pm in CH (Chaparral Hall) 5117

Announcements


Course syllabus and tentative timetable


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 Homework due date Additional Material
1 Jan 20 & 22 Martin Luther King, Jr. Day

Introduction
Reading Week 1
2 Jan 27 & 29 Ch 1: Continuous population models for single species

1.1: Exponential, Logistic, and Gompertz Growth

1.2: Evolutionary Aspects
Problem Set 1 of Homework 1 Practice Problem Set 1 Reading Week 2
3 Feb 3 & 5 1.3: Harvest Models: Bifurcations and Breakpoints Problem Set 2 of Homework 1 Practice Problem Set 2 Reading Week 3
4 Feb 10 & 12 1.4 Delay Models Problem Set 3 of Homework 1 Reading Week 4
5 Feb 17 & 19 1.5: Population Model with Age Distribution Problem Set 4 of Homework 1 Reading Week 5
6 Feb 24 & 26 Ch 2: Discrete Population Models for a Single Species

2.1 Density-Independent Growth

2.2 Density-Dependent Growth
Problem Set of Homework 2 Reading Week 6
7 Mar 3 & 5 2.2 cont'd

Ch 3: Models for Interacting Populations

3.1 A Classical Predator-Prey Model
Problem Set 1 of Homework 3 Reading Week 7
8 Mar 10 & 12 3.2: To cycle or not to cyle

3.3: Global bifurcation in predator-prey models
Problem Set 2 of Homework 3 Reading Week 8
9 Mar 17 & 19 3.4: Chemostate models

3.5: Discrete-item predator-prey models
Reading Week 9
10 Mar 24 & 26 3.6: Competition models

3.7: Mutualism models
Problem Set of Homework 4 Reading Week 10
11 Mar 31 & April 2 Cesar Chavez Holiday

Chapter 4: Dynamics of infectious diseases

4.1: Introduction to epidemic models
Course Projects Reading Week 11
12 April 7 & 9 Spring Recess; No Instruction Reading Week 12
13 April 14 & 16 4.2 The simple Kermack-McKendrick epidemic Model

4.3: More complicated epidemic model
Reading Week 13
14 April 21 & 23 4.4: Model for endemic diseases Reading Week 14
15 April 28 & 30 Notes on basic reproduction numbers
16 May 5 & 7 Case study 1 on selected topics

Case study 2 on selected topics
17 Final Exam Week Course Project Presentation

Copyright © 2009 Jing Li