|Week||Monday||Wednesday||Homework & Notes|
|1: Aug 21, 23||Syllabus; |
Introduction & overview
|Methodological approach to math modeling
|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
|Optimization (Ch 1; Ch 2)
Intro to R programming
|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)
Intro to Maxima (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) |
|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 |
|Dynamic Models, Ch.4
|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 |
|Analyzing Dynamic Models, Ch.4-5
|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.
|9: Oct 19, 21||Intro to Probability Models (Ch 7)||Intro: Probability Distributions||(no HW)|
|10: Oct 26, 28||Probability Distributions |
Useful functions in R
|HW #7: Due Wed (11/4) -- HW7 (PDF). LaTeX file: hw7.tex
|11: Nov 2, 4||Poisson Processes |
|See HW#7 for updated bonus problem.|
|12: Nov 9, 11||Markov Chains |
Discrete-time Dynamical Systems
|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 |