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Homework
#0, due Wednesday, 9/2 -- Automathography
#1, due Friday, 9/4: Section 0.1 -- Read "What may I assume?" on p. 7 and do the following problems: 2dghklm, 3ci, rewrite the penguin's thoughts so it is clear that each statement is an implication, 4c, 5abdfhm, 6ck(don't worry if you don't know what "one-to-one" means!), 7mno. Please keep the mathematical symbols you use on this assignment to a minimum--start getting into the habit of using more words than symbols.
#2, due Friday, 9/11: Read the following guidelines about writing assignments. Note: you will need to hand in your writing assignment separately from your regular assignment! Writing assignment: Section 0.2 -- 15, 29; Regular assignment: (from class:) Prove that (not B => not A) implies A => B; Section 0.2: 3b, 3e, 9a, 13, 14, 17, 32b, 32g, 32h (hint: you may assume "standard facts" about algebra with inequalities, such as: c < d ==> a+c < a+d) , 37 (you may assume pi is irrational; recall that irrational numbers are numbers with decimal expansions that neither terminate nor repeat); Chapter 0 review exercises: 16, 17, 18a (no writing needed on #18a--just convince yourself!), Section 5.1 -- 6e, 4d
#3, due Friday, 9/18: Here is the writing assignment; Regular assignment: Section 5.1 -- 6h, 9g, 10c, 11, 12, 27, 28, 30, 36 (note the explanation--located right after #33--of the notation in this problem)
#4, due Friday, 9/25: (note new formatted presentation of this information, suggested via the anonymous feedback site!)
Writing assignment: Section 5.2: 49
Regular assignment:
Section 5.2: 5, 8, 9, 14 (on 8, 9, and 14 don't spend too much time trying to guess the formula; if you don't see it, just email/ask!), 48b, 50, 51, 55b
Section 5.3: 4, 6, 8, 11a (yes, there are fractions in the answer to this one)
#5, due Friday, 10/2: Here it is! (note--problems 1-9 are the "regular assignment"; problem 10 is the "writing assignment". )
#6, due Friday, 10/9:
Writing assignment: Two problems: First, a revision! Pick a problem from a previous writing assignment and revise it. Please turn in both the "new and improved" version and the original version (with all my scratchmarks). The more work you have to do, the more benefit for you: I'll replace your old score with the average of the old and new score. Second problem: Section 6.3 #3.
Regular assignment:
Section 6.1: 3, 6, 9, 10, 12a, 15
Section 6.2: 2, 4, 6 ("fun" fact: One of my all-time favorite palindromes is "Satan, oscillate my metallic sonatas."), 8, 15, 16, 17, 19d, 21. Note: you don't have to do a lot of writing for this section, but you should give some indication of where you are getting your answers!
Section 6.3: 1, 16
#7, due Friday, 10/23:
Writing assignment: Section 6.3: 25c (Hint: first consider the case where everyone shook at least one hand. What's the minimum number of handshakes a person could have done in this case? The maximum number?)
Regular assignment:
Section 6.3: (Warning: some of these are tricky! The problems from the next two sections are easier.) 8, 9, 12, 18, 25a, 27
Section 7.1: 4, 7, 8, 11, 12, 17
Section 7.2: 10, 11, 14, 15, 17, 18, 19
No homework due the week of 10/25! Instead, prepare for the exam! Here are some suggested problems from Section 7.3: 4, 5, 10, 12, 17, 25, 27
#8, due Friday, 11/6:
No writing assignment this week!
Regular assignment:
Section 7.4: 1, 2, 3, 6, 8, 10, 12, 16, 19, 29, 31 (Note--31e should read "A customer who purchases popcorn attends "La Vie d'un Elan"); this problem
Section 7.5: 7, 8, 9, 12 (ignore symmetries of the board), 14d, 16
#9, due Friday, 11/13:
No writing assignment this week!
Regular assignment:
Section 7.5: 3, 4, 5, 6, 11, 18, 19
Section 7.6: 2, 4, 5, 6, 7
Section 7.7: 9, 10, 20, 21b. Also, an extra problem: use #20 to show that the number of odd-sized subsets in a set of size n equals the number of even-sized subsets.
Solve each of the following problems with a combinatorial argument: Section 7.2 -- 24b, 25b, 26b; Section 7.6 -- 8
#10, due Friday, 11/20:
Writing assignment: Section 9.2: 35 (Hints: What is the maximum degree a vertex in this graph can have? Use cases.)
Regular assignment:
Section 9.1: 8 (Also, what problem from the counting section does this remind you of?), 11 (Also, what type of graph is Figure 9.14?)
Section 9.2: 4, 12b, 15d, 16b, 18def, 21cf, 22b, 26, 27, 28, 29, 33
Section 9.3: 3b, 4a, 5b, 10
Section 10.1: 4bcef, 9a, 13, 16, 17
#11, due Wednesday, 12/2:
No writing assignment this week.
Regular assignment:
Section 10.1: 7b, 9b, 11, 14, 22, 23 (hint: use induction on part (b)!)
Section 10.2: 1, 3ceg (just determine if there's a cycle; don't worry about paths), 5, 9, 12, 21, 23 (hint: what's the minimum and maximum of deg v, for a vertex v in this graph?)
Section 10.3: 1, 5, 14, 16
Chapter 10 review: 17, 18, 19
*posssibly 1 or 2 problems from 10.4, TBA*