Date 
Topic 

Homework 
Worksheets 
Aug 18 
Introduction / Unconstrained Population Growth 
Case Ch1, Appendix 1 
Complete Worksheet 1 

Aug 23 
Unconstrained Growth/ Introduction to transformations 



Aug 25 
Introduction to Maple, eigenvalue/eigenvector analysis 
Case p4554, 
P 6364: Prob 2,3 Worksheet 2 

Aug 30 
Eigenvalue/eigenvector analysis 



Sep 01 
Eigenvalue/eigenvector analysis 



Sep 06 
Growth of agestructured populations 
Case p64 end of chapter 


Sep 08 
Growth of stagestructured populations 

p77: Prob 4,5 

Sep 13 
Continuous logistic population growth 
Case Chap 5 Science 269:341346 


Sep 15 
Discrete logistic population growth 
p135: Prob 611 Choose Projects on single species dynamics 

Sep 20 
Discrete logistic continued / stability analysis 



Sep 22 
Work on Projects 



Sep 27 
Harvesting Models 
Case Chap 10 


Sep 29 
Predatorprey models  behavior 
Case Ch 12 to p277 


Oct 04 
Predatorprey models – linear stability analysis 
Case Ch 13 to p 301 


Oct 06 
Disease Models 



Oct 11 
Project Presentations 



Oct 13 
Project Presentations 



Oct 18 
Predatorprey models – linear stability analysis 
Case Ch 13 to p 301 
Single Species Project Papers Due 

Oct 20 
FALL BREAK 



Oct 25 
Host Parasitoid Models 

Choose Projects on multiple species dynamics 

Oct 27 
Competition models  behavior 
Case Ch 14 


Nov 01 
Maple analysis of equilibria, phase plots, linear stability, isocline plots, etc 



Nov 03 
Trace/Determinant Analysis; Work on projects 



Nov 08 
Chemostats  



Nov 10 
Chemostats continued / work on projects 



Nov 15 
Project Presentations 



Nov 17 
Project Presentations 



Nov 22 
Disease Models 

Multiple Species Project Papers Due 

Nov 24 
THANKSGIVING BREAK 



Nov 30 
Metapopulation Models 
Case Ch 16 Biol J Linn Soc 42:1738 


Dec 01 
Age Structured Metapopulation Models 
FinalExam Handed Out 


Dec 06 
FINAL
EXAM 



Grading:
100 pts  First Project
100 pts  Second Project
100 pts  Take Home Final
300 pts  Total
Learning Outcomes: Students will gain the mathematical tools needed to evaluate theoretical models reported by environmental scientists in their published papers. Students will learn how to take apart published models and ask "whatif" questions about them using altered data and parameters, in order to test ecological hypotheses. See Biology Dept Curriculum Goals.
This page last modified August 17, 2011 URL: http://www.biol.sc.edu/~wethey/763/index.html