| Week | Monday | Wednesday | Homework & Notes |
|---|---|---|---|
| 1: Aug 21, 23 | Syllabus; Introduction & overview | Methodological approach to math modeling Slides: Week1-W.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 9.7-9.8 Read up to 1.2 in the text. |
| 2: 8/31, 9/2 | Textbook Ch. 1 Intro to R Slides: Week2-M.pdf | Optimization (Ch 1; Ch 2) Intro to R programming Ch1-Ex-1.1.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 LASTNAME-HW1.R. Due: 9/9. Please try to follow Google's R Style Guide! Optional: The exercises in Ch1-Ex-1.1.R |
| 3: Sep 7,9 | NO CLASS (Labor Day) | Optimization (cont'd) Ch2-optimization.R Intro to Maxima (PDF) Discuss Project Slides: Week3-W.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: hw2-solns.pdf, hw2-solns.R, hw2-solns.wxmx |
| 4: Sep 14, 16 | Optimization (Cont'd) Slides: Week4-M.pdf | Optimization (Cont'd) Slides: Week4-W.pdf |
Homework: Due Wednesday (9/23) -- Hw3 (PDF; corrected 9/21). LaTeX file: hw3.tex SOLUTIONS: hw3-solns.pdf, hw3-solns.R |
| 5: Sep 21, 23 | Dynamic Models, Ch.4 Slides: Week5-M.pdf | Dynamic Models, Ch.4 Slides: Week5-W.pdf |
Homework: Due Wednesday (9/30) -- Hw4 (PDF). LaTeX file: hw4.tex SOLUTIONS: hw4-solns.pdf, hw4-solns.R |
| 6: Sep 28, 30 | Analyzing Dynamic Models, Ch.4-5 Slides: Week6-M.pdf | Analyzing Dynamic Models, Ch.4-5 Slides: Week6-W.pdf |
Homework: Due Wednesday (10/7) -- Hw5 (PDF). Solutions: hw5-solns.pdf, hw5-soln1-bonus.wxmx, hw5-lorenz.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: stability-analysis-example.wxmx. See also Instant Maxima (PDF). Optional Reading: Dushoff et al (1998) R code (for Weds): numerical-solutions-ODEs.R Updated version: numerical-solutions-ODEs-v2.R |
| 8: Oct 12, 14 | Numerical Solutions to ODEs (Ch 6) & Bifurcation Diagrams HW. DUE WEDS 8/14: bifurcation-diagram-HW.R | HW #6: Due 8/14: Finish modifying this R script from class Monday to create a bifurcation diagram for the given predator-prey model. Solution: bifurcation-diagram-HW-solns.R |
|
| 9: Oct 19, 21 | Intro to Probability Models (Ch 7) | Intro: Probability Distributions | (no HW) |
| 10: Oct 26, 28 | Probability Distributions prob-distributions.pdf | Poisson Processes, Useful functions in R |
HW #7: Due Wed (11/4) -- HW7 (PDF). LaTeX file: hw7.tex Solutions: hw7-solns.pdf |
| 11: Nov 2, 4 | Poisson Processes Slides: Week11-M.pdf poisson-process.R | Markov Chains Slides: Week11-W.pdf markov-chains.R |
See HW#7 for updated bonus problem. |
| 12: Nov 9, 11 | Markov Chains Discrete-time Dynamical Systems Week12.pdf | NO CLASS (Veterans Day) | HW #8 [hw8.pdf] [hw8.tex] Due by 3pm on Fri (11/13)SOLUTIONS: hw8-solns.pdf Study Guide: ExamTopicsOverview.pdf |
| 13: Nov 16, 18 | EXAM (in-class) Begin take-home Exam | ||
| 14: Nov 23, 25 | DUE: Take-home Exam | Thanskgiving Week | |
| 15: 11/30, 12/2 | SSA-in-class-logistic.R | ||
| 16: Dec 7 | Last Lecture | NO CLASS (Prep Day) | Project Instructions (project-report-outline.pdf) & Templates (project-report-outline.docx; project-report.tex) |
| 17: Dec 14 | Final Meeting (Project Presentations) |
