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