Math 145. Problem solving. Fall 2005.
The book (contains solutions to odd numbered problems in the first few chapters; solutions to later chapters will be posted later)
Tentative class schedule with homework assignments
This schedule is subject to change.
| Date | Chapter and Topic | Homework due at 12 PM (bring to class) |
|---|---|---|
| Aug 22 | 1. Introduction | |
| Aug 24 | ||
| Aug 26 | ||
| Aug 29 | 2. Logic | |
| Aug 31 | ||
| Sep 2 | 3. Types of proofs | ch.1: do any 5 problems (2a and 2b are considered different problems)
[15 points] |
| Last day to add/drop a class without permission of instructor | ||
| Sep 5 | Labor Day - no classes | |
| Sep 7 | 3. Types of proofs (continued) | |
| Sep 9 | 4. Principle of mathematical induction | ch.2: 1(b), 2, 4(abcdef), 6
ch.3: 2 [20 points] ( Extra credit ch.2: 4(ghij) [4 points] ) |
| Sep 12 | ||
| Sep 14 | ||
| Sep 16 | 5. Dirichlet's box principle | ch.3: any 3 problems from the following list: 4, 6, 8, 10, 12
ch.4: 1(d) [20 points] ( Extra credit ch.3: 14 [5 points] ) |
| Sep 19 | ||
| Last day to add/drop a class with permission of instructor | ||
| Sep 21 | 6. Number theory | |
| Sep 23 | ch.4: any 3 problems from the following list: 2, 4, 5(b), 5(d), 6, 8, 10, 12, 14
ch.5: 2 [20 points] ( Extra credit ch.4: any additional problem from the above list [5 points] ) |
|
| Sep 26 | ||
| Sep 28 | ||
| Sep 30 | Review: Practice test 1, Solutions; see also the test given in this class in Fall 2003 | ch.5: any 3 even-numbered problems from #4-22
ch.6: one of the following: 2, 4, 6 [20 points] ( Extra credit ch.5: any additional problem from the above list [5 points] ) |
| Oct 3 | Test 1 (covers Logic, Types of proofs, Induction, Dirichlet), Solutions | |
| Oct 5 | 7. Case study | |
| Oct 7 | ch.6: any 4 even-numbered problems, except the one you did last week
(had to do one of 2, 4, 6 last week) [20 points] ( Extra credit ch.6: any additional even-numbered problem [5 points] ) |
|
| Oct 10 | 8. Finding a pattern | |
| Oct 12 | ||
| Oct 14 | 9. Invariants | ch.7: choose any 4 problems from this chapter; for each of these problems, do only one part: (b) or (d) or (f)
[20 points] ( Extra credit ch.7: part (b) or (d) or (f) of any additional problem from this chapter [5 points] ) |
| Oct 17 | ||
| Oct 19 | ||
| Oct 21 | 10. Coloring | ch.8: any 4 problems from the following list: new #2, 4, 6, 8, 10, 11(b), 12, 14
[20 points] ( Extra credit ch.8: any additional problem from the above list [5 points] ) |
| Oct 24 | ||
| Oct 26 | ||
| Oct 28 | 11. Areas and volumes | ch.9: any 4 even-numberd problems
[20 points] ( Extra credit ch.9: any additional even-numbered problem [5 points] ) |
| Oct 31 | ||
| Nov 2 | Review: Practice test 2, Solutions; see also tests given in this class in Fall 2003 | |
| Nov 4 | Test 2 (covers Number theory, Case study, Patterns, Invariants, Coloring), Solutions | ch.10: any 4 even-numberd problems (if you choose #18, do at least 2 parts)
[20 points] ( Extra credit ch.10: any additional even-numbered problem [5 points] ) |
| Nov 7 | (Chapter 12 is optional and will not be discussed in class) 13. Graphs |
|
| Nov 9 | ||
| Nov 11 | ch.11: Any 4 even-numberd problems
[20 points] ( Extra credit ch.11: 21 [5 points]; ch.12: any 4 even-numbered problems [20 points] ) |
|
| PB 192: 3:45 Pizza 4:00-5:00 Panel Discussion on Becoming a Mathematics Teacher |
||
| Nov 14 | 14. Working backwards | |
| Nov 16 | ||
| Nov 18 | ch.13: Any 4 even-numbered problems
[20 points] ( Extra credit ch.13: any additional even-numbered problem [5 points] ) |
|
| Nov 21 | 15. Calculus | |
| Extra office hour: 5-6 PM | ||
| Nov 23 | Thanksgiving recess - no classes, no office hours | |
| Nov 25 | ||
| Nov 28 | Extra office hour: 5-6 PM | ch.14: Any 4 even-numbered problems except #2
[20 points] ( Extra credit ch.14: any additional even-numbered problem except #2 [5 points] ) |
| 15. Calculus (continued) |
||
| Nov 30 | ||
| Dec 2 | Review: Practice test 3, Solutions; see also tests given in this class in Fall 2003 | |
| Dec 5 | Test 3 (covers Areas and volumes, Graphs, Working backwards, Calculus), Solutions | ch.15: any 3 even-numbered problems
[15 points] ( Extra credit ch.15: any 2 additional even-numbered problems [10 points] ) |
| Dec 7 | Review - Last class | |
| Dec 8 | Faculty consultation day. Office hours: 1-2:30 | |
| Dec 9 | Faculty consultation day. Consultation hour: 12-1 in McL 229 | |
| Dec 12 | Optional, for extra credit ch.16: any 5 problems [20 points] | |
| Dec 14 | Final exam (cumulative), 1:15-3:15 PM, Solutions | |