
Math 636 Mathematical Modeling 


San Diego State University  This page last updated 12Dec06 
This page will give a complete listing of the reading and homework assignments that you are required to do.
Week 1: You should familiarize yourself with this webpage and how to navigate the different sections. This will be a key page where I post Reading and Homework assignments. The dates for when those assignments are due will also be listed here. Begin by reading the material in the lecture notes under Introduction, Malthusian Growth, and U. S. Population. Also, read Chapter 2, p 936 in the text. The Homework assignment for the Discrete models is due by Thursday, Sept. 15 by class. There were several errors in the first round of the problems handed out, so the latest web version is improved. Mostly, you need to change all references of continuous to discrete.
Week 2: Read the material in the lecture notes under the Competition Models  Logistic Growth. Also, read Chapter 3, p. 5560 in the text.
Week 3: Read the material in the lecture notes under the Competition Models  Two Species . Also, read Chapter 3, p. 6675 and 8389 in the text. Begin the Homework assignment for Differential Equation Models  HW2. This will be due by Tuesday, Sept. 26.
Week 4: Read the material in the lecture notes under the Lotka Volterra models. Also, read Chapter 3, p. 8389 in the text. Begin the Homework assignment for LotkaVolterra or PredatorPrey Models. This will be due by Thursday, Oct. 5.
Week 5: Read the material in the lecture notes Chapter 3, p. 6466, 7879 in the text. Solutions are available for HW1Soln. LotkaVolterra HW extended to Thursday, Oct. 5.
Week 6: Begin the Homework assignment for Epidemic Models. This will be due by Thursday, Oct. 12.
Week 7: Begin the Homework assignment for Diabetes Models. This will be due by Thursday, Oct. 19. Note that there was a sign error in Problem 2, which has been corrected, and a hint has been provided for the critically damped case that occurs in this problem.
Week 8: Solutions are available for HW2Soln.
Week 9: Begin the Homework assignments for Nerve Impulse Models and Delay Models. This will be due by Thursday, Nov. 2. There is a MatLab program available to help you design your argument principle program. Solutions are available for HW3Soln.
Week 10: Continue the Homework assignment for Delay Models. This will be due by Tuesday, Nov. 7. It appears that students have created the correct program for the argument principle, but are having trouble interpreting the results. An additional help page is provided with this link.
Week 11: Solutions are available for HW4Soln. You need to check the Projects page and prepare a sheet of paper outlining who is on your team and what you plan to do for a project. Lecture material covers Monte Carlo simulations and stochastic modeling (with some MatLab programs). A classic stochastic model is the Gillespie method for computing chemical reactions. We will examine this applied to the decision of lysogeny or lytic cycles for Phage lambda. Homework for the probabilistic models is available and will be due on Nov. 21. Grade information is available through this link.
Week 12: Solutions are available for HW5Soln and HW6Soln.
Week 13: There will be a takehome final given out after Thanksgiving break that covers highlights of all the homework from this semester. You will need to work this material on your own without the help of others, and it will be worth 20% of your grade. Also, you need to prepare a detailed outline of your project along with the literature that you are going to use by Thursday, Nov. 30. this outline should be 35 pages. Nov. 28, in class, we will decide the order of presentation of the projects. 3 projects will be presented on Thursday, Dec. 7 and the remaining ones will be presented on Tuesday, Dec. 12. All written projects and takehome finals are due by 5 PM on Friday, Dec. 15. Solutions are available for HW7Soln. You should check to see that I have correctly recorded your HW scores to date. Grade information is available through this link.
Week 14: The takehome final is available. You are pledging to work this material on your own without the help of others, and it will be worth 20% of your grade. You need to prepare a detailed outline of your project (35 pages) along with the literature that you are going to use by Thursday, Nov. 30. All written projects and takehome finals are due by 5 PM on Friday, Dec. 15. Students working on the magnetic pendulum projects should seriously consider attending the lecture by Professor Ricardo Carretero next Tuesday (Dec. 5), Classical mechanics, 5:306:45 P139.
Week 15: The takehome final is available. You are pledging to work this material on your own without the help of others, and it will be worth 20% of your grade. You can view the Project Grading Sheet to see how you will be evaluated on your talk.The lecture material this week comes from two articles by Jef Huisman et al. (American Naturalist 1999 and Ecology 2004). Solutions are available for HW8Soln.