Math 355 - Mathematical Modeling
Homework
I will attempt to remember to post homework assignments and due dates here, but you should not count on this page being completely up to date. The assignments and due dates will be given in class, during the course of the lectures as we get to the appropriate topics.
There will be some dropped homework assignments, about 10%. I will announce the number at the end of the semester when I know how many assignments there are.
| Assigned | Due | Assignment |
| Wed., Jan 20 | Mon., Jan 25 | A: Find an example of a model used in some television show,
movie, or novel (other than the CSI episode shown in class) that
illustrates the feedback process. Give a brief description of the
action/plot in the show or novel to give some context and describe the
model and how the feedback process is shown. (Remember to cite your
source - name the movie, television show, or novel!) B: As in A, just another example. Note: For A/B, at least one of A/B must be from a fictional source (so at most one "Myth Busters" or documentary is allowed). C: Find an example of a physical or simulation model used in everyday life (at least for someone – so models specific to professions are allowed). Give a brief description of the model, what makes it a model, and what assumptions are being made in the model. Note: Your answers is clearly going to be in English, so I expect you to use appropriate grammar and spelling, and for your answers to be legible (in other words, if your writing is atrocious, type them). I expect each to be about one or two paragraphs. I would be surprised if any single problem was more than a page. |
| Fri., Jan. 22 | Wed., Jan. 27 | A and B) For the problem given out in class about the camp
placement, give two fundamentally different goals for forming the groups
and explain each of them. Your audience consists of the parents of
the children, as if you were writing in a promotional brochure prior to
enrollment in the camp. C) Choose one of your goals (either A or B) and create the groups based on that goal. D) Write a paragraph or two to justify your group formations as if your were discussing their formation in an email that is in response to a parent's complaint about their child's group. Feel free to reference your "brochure goals" from part A/B. |
| Wed., Jan. 27 | Mon., Feb. 1 | Chap. 1: #A, 3, 4 A: For the system in Example 1, show/explain why if there are N players, there are no teams with N-1 players in any model of the axiomatic system. |
| Friday, Feb. 5 | Individual Project topic writeup | |
| Wed., Feb. 3 | Fri., Feb. 5 | Section 2.1) 1, 12ac (Note: Use exact numbers, and feel free to use a graphing calculator or Maple to find M-1 for #1.) |
| Wed., Feb. 3 | Mon., Feb. 8 | Section 2.1) 12b, 3, 6, 9 (Note: For #3, don't use the result from #4 but show directly for these particular numbers.) |
| Wed., Feb. 3 | Wed., Feb. 10 | Section 2.1) 5, 5b, 13 5b) What is the distribution of phenotypes? Compare this distribution to the observed distribution. |
| Fri., Feb. 12 | Wed., Feb. 17 | Section 2.2) 12 |
| Friday, Feb. 19 | Groups for group project (this is not a graded assignment) | |
| Mon., Feb. 15 | Mon., Feb. 22 | Section 2.2) 6, 7 |
| Wednesday, Feb. 24 | Group Project topic writeup | |
| Friday, Feb. 26 | SAC applications due (this is not a graded assignment) | |
| Friday, Feb. 26 | Individual Project written report due | |
| Mon., March 1 | Friday, March 5 | Section 2.5) 1, 4 |
| Mon., March 1 | Monday, March 8 | Section 2.5) 9 |
| Fri., March 5 | Friday, March 12 | Section 2.4) 1 (all parts, a-e) |
| Wednesday, March 10 | Individual Project written report re-write due | |
| Wednesday and Friday, March 10 and 12 | Individual Project presentations (3 each day) | |
| Mon., March 22 | Friday, March 26 | 5.1) #1, A A: a) Solve Example 5.1 (in Maple) b) What resources are used completely? What are not used completely? c) What happens in Maple if you change all the inequalities to equations? |
| Fri., March 26 | Monday, March 29 | 5.2) Find the dual of the problem given in #3. (You do not have to solve #3). |
| Mon., March 29 | Wednesday, April 7 | 5.2) #5 Solve graphically. |
| Mon., March 29 | Friday, April 9 | 5.2) #11 |
| Wed., March 31 | Monday, April 12 | 5.3) #13, 14 |
| Fri., April 9 | Friday, April 16 | 5.5) #8 |
| Friday, April 16 | Group Project written report due | |
| Mon., April 12 | Monday, April 19 | 5.5) A) For the job-assignment graph indicated in Figure 5.7 (p. 250), use the algorithm given in class to assign the jobs to the applicants. |
| Tuesday, April 20 | Group Project presentations (at the SAC) | |
| Wed., April 14 | Wednesday, April 21 | Rosen 9.1) Do the MSUM building miniproject from my Discrete Math page: f2008-225-MP-c9s1a.pdf |
| Wednesday, April 21 | Group Project written report re-writes due, if applicable | |
| Fri., April 16 | Friday, April 23 | Rosen 9.2) #27, 28 |
| Mon., April 19 | Monday, April 26 | Rosen 9.3) #18, 20, 38, 40 |
| Wed., April 21 | Wednesday, April 28 | Rosen 9.4) #9, 10, 31, 32c |
| Fri., April 23 | Wednesday, April 28 | Rosen 9.4) #12, 39 |
| Fri., April 23 | Friday, April 30 | Rosen 9.5) #6, 8, 10, 20 |
| Friday, April 30 | Rosen 9.5) Do *one* of the following miniprojects from my Discrete Math page: f2008-225-MP-c9s5b.pdf or f2008-225-MP-c9s5c.pdf. | |
| Monday, May 3 | Rosen 9.6) Do *one* of the following: 9.6)#4 *or* miniproject f2008-225-MP-c9s6d.pdf (with info sheet) | |
| Monday, May 3 | Rosen 9.7) 3, 4, 12, 12b 12b) Draw a possible graph meeting these criteria. |
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| Thursday, May 6 | Rosen 9.8) 4, 10, 19 10) Vertex-color the graph 19) Draw the graph that is to be vertex-colored, color it, and then answer the question. |
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| Thursday, May 6, 9:00 am | Exam |