Introduction to Mathematical Biology (MATH 463)

MATH 463: Introduction to Mathematical Biology
MWF 01:10 - 2:00, 3088 EH

Instructor:

Trachette Jackson
3854 East Hall
tel: 734-764-8537
fax: 734-763-0937
tjacks@umich.edu
office hours: Tues 1:00-2:00, TH 11:00-12:00 3856 EH

Course description

Textbook

Syllabus

MATLAB Help

Homework

Handouts

Course Description

This course is an exploration in applications of mathematics to various biological, ecological, physiological, and medical problems. By the end of this course you will be able to derive, interpret, solve, simulate, understand, discuss and critique discrete and differential equation models of biological systems.

Textbook

This course will follow the first several chapters of: Leah Edelstein-Keshet Mathematical Models in Biology Magraw-Hill, 1988. Supplementary material will include readings from the current literature and lecture notes from the instructor.

Syllabus

Download syllabus: (PDF)

MATLAB Help

Download MATLAB plotting tutorial [MSCC, University of Washington, 1996]: (PDF)
Go to the MATLAB Help Desk at the MathWorks site.
This allows you to search for a specific MATLAB function.
Go to the Using MATLAB Guide at the MathWorks site.
This provides explanations and examples for various MATLAB functions.

Homework

Follow links in the table below to obtain a copy of the homework in Adobe Acrobat (PDF) format.

Computer Lab Assignments	Homework Assignments	Homework Solutions
Lab #1(PDF)	Homework #1 (PDF)	HW 1 Solutions(PDF)
Lab #2(PDF)	Homework #2 (PDF)	HW 2 Solutions(PDF)
Lab #3(PDF)	Homework #3 (PDF)	HW 3 Solutions (PDF)
Lab #4(PDF)	Homework #4 (PDF)	HW 4 Solutions (PDF)
Lab #5(PDF)	Homework #5 (PDF)	HW 5 Solutions (PDF)
	Homework #6 (PDF)
Lab #7(PDF)	Homework #7 (PDF)	HW 7 Solutions (PDF)
	Homework #8 (PDF)	HW 8 Solutions (PDF)

Handouts

Download Lecture 1: Introduction to Discrete Models: (PPT)

Download Lecture 2: A Discrete Model of Breathing: (PPT)

Download Lecture 3: Systems of Discrete Equations: Tumor Initiation (PPT)

Download Lecture 4-5: Nonlinear Discrete Equations: Steady States, Stability, Bifurcations (PPT)

Download Lecture 6: Nonlinear Systems: The Nicholson-Bailey Model (PDF)

Download Lecture 7: Continuous Models (PDF)

Download Lecture 8: The Spruce Budworm Outbreak Model (PDF)

Download Lectures 9-10: The Chemostat/Phase Portraits (PDF)

Download Lecture 11: Models in Immunology (PDF)

Download Lectures 12: Tumor-Immune Interactions (PPT)

Download Lecture 13: Multiple Species Models (PPT)

Download Lecture 14: The SIR Model (PPT)

Download Lecture 15: The SIRS Model (PPT)

Download Lectures 16: STD Models (PPT)

Download EXAM 2 Review (PPT)

Download EXAM 1 Review (PPT)

Download Lab 4: Spruce Budworm Code (M-File)

Download Lab 5: Phase Plane 6 Code (M-File)

Download Lab 5: Phase Plane 7 Code (M-File)

Download Lab 6: Predator-Prey Code (M-File)

Download HIV Data (DOC)

Download Algorithm for HIV Data (PDF)

Download Project Ideas (PDF)

Download Project Description (PDF)

Download Presentation Schedule (PPT)

tjacks@umich.edu