Math 355
Spring 2014
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. Note that the daily homework is worth 50% of your overall course grade.
| Assigned | Due | Assignment |
| Wednesday Jan. 22 | Monday Jan. 27 | A) For the situation in the handout given out in class: a) Give two fundamentally different goals in forming groups among the campers and explain the reasoning behind these choices. (Audience: Parents, as if it were in a brochure advertising the camp.) b) Give actual groups for each of your goals based on the data in the handout and justify the groups. (Audience: Parents, as if you were explaining in response to a complaint as to why *their* child ended up in *that* group.) |
| Wednesday Jan. 22 | Wednesday Jan. 29 | B) Find an example of a model used in a show/novel/film/etc.
that illustrates the feedback process.
Explain what the model is doing in that context, and how the feedback
loop is illustrated. (Audience: Me, having not seen/read the
show/book.) C) Repeat with another example. Note: At least one of these two must come from a fictional source. The other can also be a fictional source, or could be from a documentary or pseudo-documentary (like Myth Busters). |
| Wednesday Jan. 29 | Monday Feb. 3 | Chap. 1) A, 3, 4, where A is given by: A) For the system in Example 1 of the textbook, show why if there are N players, then there does not exist a team with N-1 players in any model of the axiomatic system. |
| Monday Feb. 10 | Individual Project topic description due. (This will be graded
as a homework assignment.) Note: Briefly describe the setup and what your goals are. I expect that it will be on the order of a page. I don't expect you to have done any real mathematics yet, but that you have thought about what the context is and what your goals are and at least a little bit about how you will get the necessary information to accomplish the project. |
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| Wednesday Feb. 5 | Wednesday Feb. 12 | 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.) |
| Monday Feb. 10 | Friday Feb. 14 | Section 2.1) 12b, 3, 6, 9 (Note: For #3, don't use the result from #4 but show it directly for these particular numbers.) |
| Monday Feb. 10 | Monday Feb. 17 | Section 2.1) 5, 5b, 13 5b) What is the distribution of phenotypes? Compare this distribution to the observed distribution. In #13c, your answer should be in English. Look for and comment on any changes observed in this case than from the 9:3:3:1 ratio (as in #5b) when there is no linkage between the genes. |
| Friday Feb 14 | Wednesday Feb 19 | Section 2.2) 12 12a) Find the model. 12b) For "geometry of solutions", play in Maple, and print out representative graphs illustrating the various cases. |
| Monday Feb 17 | Friday Feb 21 | Section 2.2) 6/7 (Note that they are essentially the same problem,
it's just asking for different ranges of behavior. #6 asks for
when the behavior is convergence to 0, monotonic convergence to a
non-zero value, and oscillatory convergence to a single non-zero value.
#7 asks for when the behavior leads to a two-cycle.) Use Maple and play with the parameter values. Print out representative graphs. Remember to point out, in English, what is being represented. Also, by playing with the parameter value in Maple (not analytically), find approximate ranges for b in each behavioral case. |
| Friday Feb 28 | Individual project written draft due. (The mathematics should be done. The draft is of the writing, not the math.) | |
| Friday Feb 21 | Monday March 3 | Section 2.2) 10 Play in Maple and print out representative graphs. Note that you only really need two graphs - one for part a, and one for part b. Note that both graphs need to be using the same b value (they will have different x0 values). |
| Monday March 3 | Friday March 7 | Section 2.5) 1, 4 For #1) Do it yourself (not technology). For #4), Find the exact value and the approximate value. Hint: Do by hand, and replace the 1 and the 6 with 1r and 6r. |
| March something | Wednesday March 26 | Section 2.5) 9 (you can use Maple or a graphing calculator) |
| Wednesday March 26 | Friday March 28 | Linear programming homework (.pdf file is here) |
| Wednesday March 26 | Monday March 31 Wednesday April 2, with the one below. |
A Scheduling: Think of a "project" in your everyday life, and create an
order-requirement digraph. Describe what the tasks are and your
rationales for any prerequisites listed (or not listed). Note: This is essentially a writing assignment. You don't need to schedule the tasks, and you don't even need to give times for each task. The digraph, a description of each task, and reasons for the links or lack of links is all I am really asking for. |
| Friday March 28 | Wednesday April 2 | B Scheduling Chapter: #2, 4, 5, 7 Note: For #4, give at least one "reasonable" and at least one "unreasonable". |
| Wednesday April 2 | Monday April 7 | C Scheduling Chapter: #11, 13, 14 |
| Friday April 4 | Wednesday April 9 | D Scheduling: #8, 9 from handout from Anderson, Sweeney, Williams book |
| Monday April 7 | Friday April 11 | E Scheduling: #15 from handout from Anderson, Sweeney, Williams book |
| Wednesday April 9 | Monday April 14 | F Scheduling chapter (legal-paper handout): #58 |
| Wednesday April 9 | Wednesday April 16 | G Scheduling chapter (legal-paper handout): #24, 26a-c, 29. For #29, also explain your answer, and give at least two examples. |
| Friday April 11 | *Wednesday April 23 | H Scheduling chapter: #33, 35, 38 *Also: Group project due |
| Monday April 14 | Friday April 25 | I Scheduling chapter: #47, 52 |
| Wednesday April 16 | Monday April 28 | Sharing: Handout: #1a, 1c, 1d |
| Wednesday April 23 | Wednesday April 30 | Sharing: Handout: #2b, 3a, 3e |
| Monday April 28 | Friday May 2 | Sharing: Second Handout: #1a, 3ab |
| Wednesday April 30 | Monday May 5 | Sharing: Second Handout: #5bdf, 4ac |
| Friday May 9 | Voting: Handout: #1a (i-ix), 4, 5 | |
| Friday May 9, 2:00 pm | Final exam (open book, open notes, details on topics given in class Monday May 5) |