Week  Monday  Wednesday  Homework & Notes 

1: Aug 21, 23  Syllabus; Introduction & overview  Methodological approach to math modeling Slides: Week1W.pdf 
Download Ch 9 (PDF) from Ellner and Guckenheimer (2006), available at http://press.princeton.edu/titles/8124.html. Read Up to 9.2.1 well, skim 9.2  9.6, Read 9.79.8 Read up to 1.2 in the text. 
2: 8/31, 9/2  Textbook Ch. 1 Intro to R Slides: Week2M.pdf  Optimization (Ch 1; Ch 2) Intro to R programming Ch1Ex1.1.R 
Install R, then RStudio. Homework: Go through Section 2 in the R Intro for Math 420 (PDF), work the exercises of your choice. Email an R script of those solutions to the instructor, with file name LASTNAMEHW1.R. Due: 9/9. Please try to follow Google's R Style Guide! Optional: The exercises in Ch1Ex1.1.R 
3: Sep 7,9  NO CLASS (Labor Day)  Optimization (cont'd) Ch2optimization.R Intro to Maxima (PDF) Discuss Project Slides: Week3W.pdf 
Homework: Due Monday  Status update on projects. Topic? Any journals you plan to look through? Due Wednesday (9/16)  Hw2 (PDF). LaTeX file to use as a template for typed solutions (OPTIONAL!): hw2.tex SOLUTIONS: hw2solns.pdf, hw2solns.R, hw2solns.wxmx 
4: Sep 14, 16  Optimization (Cont'd) Slides: Week4M.pdf  Optimization (Cont'd) Slides: Week4W.pdf 
Homework: Due Wednesday (9/23)  Hw3 (PDF; corrected 9/21). LaTeX file: hw3.tex SOLUTIONS: hw3solns.pdf, hw3solns.R 
5: Sep 21, 23  Dynamic Models, Ch.4 Slides: Week5M.pdf  Dynamic Models, Ch.4 Slides: Week5W.pdf 
Homework: Due Wednesday (9/30)  Hw4 (PDF). LaTeX file: hw4.tex SOLUTIONS: hw4solns.pdf, hw4solns.R 
6: Sep 28, 30  Analyzing Dynamic Models, Ch.45 Slides: Week6M.pdf  Analyzing Dynamic Models, Ch.45 Slides: Week6W.pdf 
Homework: Due Wednesday (10/7)  Hw5 (PDF). Solutions: hw5solns.pdf, hw5soln1bonus.wxmx, hw5lorenz.wxmx 
7: Oct 5, 7  Equilibrium Stability Analysis  Numerical Solutions to ODEs (Ch 6)  Example equilibrium Stability analysis for the tree competition example (4.1) in wxMaxima: stabilityanalysisexample.wxmx. See also Instant Maxima (PDF). Optional Reading: Dushoff et al (1998) R code (for Weds): numericalsolutionsODEs.R Updated version: numericalsolutionsODEsv2.R 
8: Oct 12, 14  Numerical Solutions to ODEs (Ch 6) & Bifurcation Diagrams HW. DUE WEDS 8/14: bifurcationdiagramHW.R  HW #6: Due 8/14: Finish modifying this R script from class Monday to create a bifurcation diagram for the given predatorprey model. Solution: bifurcationdiagramHWsolns.R 

9: Oct 19, 21  Intro to Probability Models (Ch 7)  Intro: Probability Distributions  (no HW) 
10: Oct 26, 28  Probability Distributions probdistributions.pdf  Poisson Processes, Useful functions in R 
HW #7: Due Wed (11/4)  HW7 (PDF). LaTeX file: hw7.tex Solutions: hw7solns.pdf 
11: Nov 2, 4  Poisson Processes Slides: Week11M.pdf poissonprocess.R  Markov Chains Slides: Week11W.pdf markovchains.R 
See HW#7 for updated bonus problem. 
12: Nov 9, 11  Markov Chains Discretetime Dynamical Systems Week12.pdf  NO CLASS (Veterans Day)  HW #8 [hw8.pdf] [hw8.tex] Due by 3pm on Fri (11/13) SOLUTIONS: hw8solns.pdf Study Guide: ExamTopicsOverview.pdf 
13: Nov 16, 18  EXAM (inclass) Begin takehome Exam  
14: Nov 23, 25  DUE: Takehome Exam  Thanskgiving Week  
15: 11/30, 12/2  SSAinclasslogistic.R  
16: Dec 7  Last Lecture  NO CLASS (Prep Day)  Project Instructions (projectreportoutline.pdf) & Templates (projectreportoutline.docx; projectreport.tex) 
17: Dec 14  Final Meeting (Project Presentations) 