Mathematical Modeling of Population Biology (Topics in Mathematics)
BIOL 763 / SCCC 411B / MATH 599 / MATH 599S
Fall, 2003

Professor Matt Miller
miller@math.sc.edu
Miller Lab
Department of Mathematics
University of South Carolina

Professor Dave Wethey
wethey@biol.sc.edu
Wethey Lab
Department of Biological Sciences
University of South Carolina

Tu / Th 11:00-12:15 in CLS 202 and tentatively W 2:30-3:20 for SCCC 411B and MATH 599S

  • Course Information and Description
  • Course Schedule and Assignments
  • Texts
  • Required: Ted J. Case, An Illustrated Guide to Theoretical Ecology , Oxford University Press, NY, 2000, with errata
  • Highly recommended: John H. Vandermeer and Deborah E. Goldberg, Population Ecology: First Principles, Princeton University Press, 2003.
  • Also useful:
      Alan Hastings, Population Biology , Springer, NY, 1997
      Leah Edelstein-Keshet, Mathematical Models in Biology , Birkhaeuser Mathematics Series, McGraw Hill, NY, 1988
      N. J. Gotelli, A Primer of Ecology
      J. Roughgarden, Primer of Ecological Theory
      W. S. C. Gurney and R. M. Nisbet, Ecological Dynamics
      Mooney and Swift, A Course in Mathematical Modeling
      H. Caswell, Matrix Population Models
      E. Bender, An Introduction to Mathematical Modeling
  • Maple Worksheets
  • Descriptive index Most of these are from Spring, 2001, and are gradually being updated to Maple 8.
  • Spring, 1999 Many of these are being updated for Maple 8 in the Fall semester, 2003.
  • Fall, 1995 This link is no longer active. Most of the worksheets have either been updated, or have been abandoned.
  • Differential equations (Release 5) generally out of date
  • Calculus and other courses (Release 4) generally way out of date
  • Calculus and other courses (mostly .ms files in Maple V, R3) generally fossils
  • Advanced (vector) calculus There are plans to update in Fall, 2003.
  • Projects
  • Fall, 2003
  • Spring, 1999
  • Spring, 1997
  • Fall, 1995
  • Maple worksheet tilman.mws for Fall, 1995 student projects on Tilman's paper. The subsequent article
    "Resource competition in algae" has been published: MapleTech 4 (1997), 78-85
  • Tests and study guides (pdf format)
  • Final exam: Fall, 2003
  • First exam: Fall, 2001
  • Second (and final) exam: Fall, 2001
  • First exam: Spring, 1999
  • Second (and final) exam:Spring, 1999
  • There is a a boo-boo on the Spring, 1999 final. With the values given for the E's in problem #7, p = 0.5 is not an equilibrium -- it should be p = 0.167. If one uses p[0] = 0.1 and p[0] = 0.2, one gets the same phenomenon as we indicate, though with all new values, but the easier fix is to swap the values of E[SS] and E[TT].
  • First exam: Spring, 1997
  • Second exam: Spring, 1997
  • Final exam: Spring, 1997
  • Study guide: Fall, 1995
  • First exam: Fall, 1995
  • Second (and final) exam: Fall, 1995
  • Also of interest
  • Spatial Ecology (Biology 703 / MATH 599)
  • Theoretical Ecology (Biology 765)
  • 1997 Atlanta MAA meeting presentation
    Latex2e version     and [PDF] version
  • University of Tennessee life sciences archives
  • Quantitative curriculum for life science students
  • Iowa State Conference
  • Software
  • More software
  • Darwin's Origin of Species
  • A Wisconsin seminar reading list
    • Last modified: September 18, 2003
    Professor Matt Miller
    miller@math.sc.edu
    		 Professor Dave Wethey
    wethey@biol.sc.edu