Mathematical Biology
SCCC
411B, Spring 1997
Professor
Matt Miller
miller@math.sc.edu
Department of Mathematics
University of South Carolina
Professor
Dave Wethey
wethey@biol.sc.edu
Department of Biological Sciences
University of South Carolina
Tuesday / Thursday 9:30-10:45 and Wednesday 1:30 - 2:15 in CLS 202
Text:
Mathematical Models in Biology
by L. Edelstein-Keshet, McGraw Hill, NY, 1988
Differential Equations
Jan 14-16:
Rate equations, Euler's method of integration
Jan 21-23:
Models: chemostats, compartments, dimensional analysis
Jan 28-30:
Systems: box models and predator-prey
Feb 04-06:
Systems: competition, linear transformations, eigenvectors
First Projects selected
Feb 11-13:
Equilibria, linearization, stability analysis
Difference Equations
Feb 18-20:
Linear equations: Leslie models
Feb 25-27:
Leslie-Lefkowitch models; non-linear difference equations:
stable cycles and bifurcation
Mar 04-06:
Nonlinear difference equations: cobwebbing;
FIRST PROJECT REPORTS
Mar 11-13: SPRING BREAK
Mar 18-20:
Nonlinear difference equations (cont.)
Mar 25-27:
Nicholson-Bailey host parasitoid model
Second Projects selected
Apr 01-03:
Roughgarden's r and K selection model
Apr 08-10:
Maynard Smith's ESS model
Apr 15-17:
Review, Exam, and ESS
Apr 22-24:
SECOND PROJECT REPORTS
Exams
Wed Feb 19: FIRST EXAM
Wed Apr 16: SECOND EXAM
Review for final exam:
Tues May 06: FINAL EXAM 9 am - 12 (NOTE CORRECTION!!)
Last modified: April 18, 1997