Math 536 - Mathematical Modeling
Fall Semester, 2000 

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San Diego State University -- This page last updated 06-Nov-00

Math 536 - Assignment Page

This page will provide information about your Homework and reading assignments. You should access this page regularly to obtain the latest information about requirements for this course.

Week 10: We continue our work on Chapter 5 and 6 with studies of two dimensional differential equation models. Chapter 5 is basic linear analysis of differential equations, while Chapter 6 does more nonlinear phase portrait analysis. Work the problems Problems: 5.2.1, 2, 3, 5, 8, 5.3.4, 5, 6.1.2, 5, (Maple: 9, 10), 6.3.2, 6, 6.4.2, 5, 7, 6.7.4. Be sure to check your project references to see if you have enough guidance from what I have presented. Some of the references should be extremely helpful, but some are only intended to provide paths for additional searching. I may make additional changes as I find more material, so you may want to return to the projects hyperlinks to find updates.

Week 8: We continue our work on Chapter 3 with more bifurcation applications. Work the problems Problems: 3.5.4, 7, 3.7.2, 3, 4, 5, 6. The projects will be appearing on the special project webpage with hyperlinks to the individual projects.

Week 7: Read the material in Chapter 3 in the text and work the problems on p. 79. Problems: 3.1.3, 3.2.1, 4, 5, 3.3.1, 2, 3.4.1, 4, 6, 7, 8. Also, complete the HW from the Maple worksheet.

Week 5: The homework from Chapter 2 in the text is on p. 36. Problems: 2.2.1, 3, 6, 8, 11, 13, 2.3.2, 3, 2.4.7,8, 2.5.6.

Week 4: This week we begin the material in Chapter 2 of the text. You should read over this material. In addition, there is a homework assignment from the linear differential equations that we were studying last week, which will be due Monday, Oct. 2.

Week 3: This week you need to turn in the homework from either attending the SDSU/Compaq Computational Science Meeting (see hyperlink) on Saturday, Sept. 9 or the special project on using discrete dynamical systems for the populations of Canada or India. You should begin reading the notes for the introduction to differential equations and by this weekend there will be a new homework assignment covering this material.

Week 2: As noted in class, I will be gone next week. To substitute for the Monday lecture you are asked to attend the SDSU/Compaq Computational Science Meeting (see hyperlink) on Saturday, Sept. 9. This seminar series provides a wide variety of topics that should be valuable for both Applied Math and Computational Science students. Your assignment asks you write a brief summary of three of the talks using at least 50 words to summarize each of the three talks that you choose to discuss. (It will also help me understand your particular interests.) For those of you who cannot go to this meeting or would prefer not to write a summary of some of the talks, then you can work an alternate assignment, which asks you to reproduce the discrete dynamical systems notes about the U.S. population growth using two other countries. See the hyperlink to this option. (You only receive credit for one of these options, even if you choose to turn in both.)

Your reading assignment at this time is to read the following sections:

  1. Discrete Dynamical Systems
  2. Logistic Systems
  3. Breathing models

Your homework assignment for the discrete dynamical systems is given by the discrete.pdf file and will be due on Friday, Sept. 15.

Links to Excel Worksheets:

You can now download Excel spreadsheets, complete with descriptions of what is going on how to create them for a Graphing Template, for a Trendline Template, for Discrete Models, for Newton's method, and Numerical Solutions to Differential Equations.