MAT 6933
Mathematical Biology -Spring 2009
Course: MAT-6933
Mathematical Biology (CRN 12778)
Class time & place: 4:30-5:45 MW
Class Bldg. 15/Rm. 1202
Instructor: Dr. Mahbubur Rahman
Office: Bldg. 14/ Room 2718
Office hour: 3:00-4:00pm MW/Appointment
e-mail: mrahman@unf.edu
Web: http://www.unf.edu/~mrahman
Tentative Materials:
1. Deterministic single species population dynamics. Methods for the study of linear and
nonlinear discrete and continuous dynamical systems. Cobwebbing with 1 dimensional
difference equations; periodic points and their linearized stability.
2. Population dynamics of interacting species. Host parasitoid interactions, Predator-prey
systems, competition. Nulliclines/direction field for planar systems of ODE.
3. Bendixon-dulac criterion and the fact that a periodic orbit surrounds an equilibrium
point. Liapunov-LaSalle theorem and its applications. Multiple-species communities and
the Ruth-Hurwitz criteria.
4. Standard models in epidemiology/immunology.
Text:
1. Mathematical Models in Population Biology and Epidemiology
by Fred Brauer, Carlos Castillo-Chavez, Springer, ISBN-0387989021
Additional References:
1. Infectious Diseases of Humans by Roy M. Anderson and Robert M. May, Oxford
University Press, 2002
2. Mathematical Models in Biology (Paperback)
by Leah Edelstein-Keshet, Society of Industrial and Applied, 2005, ISBN-0898715547
3. Differential Equations and Mathematical Biology
by D. S. Jones, B. D. Sleeman, Chapman & Hall, 2003, ISBN-1584882964
Grading Criteria:
Point Allocation
40%
30%
30%
2 Exams
Final Exam will be comprehensive.
Homework
Cut-Offs:
Grade Assignment
A
90% - 100%
B
80% - 89%
C
70% - 79%
D
60% - 69%
F
< 60%
The “  `` will be included only to improve your grades
Important Deadlines:
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Last day to withdraw – March 27th
Holidays (no classes or office hours) – January 19th (Martin Luther King, Jr.
Holiday), March 16th-March 21st (Spring Break)
Exam 1: February 18, 2009 (Wednesday)
Exam 2: April 01, 2009 (Wednesday)

Final Exam is Wednesday, April 22, 3:00-4:50pm.
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HOMEWORK: is required. Problems to be turned in are assigned in class.