Approximate Schedule for MAT200, Spring 2010

Week Topics Homework
1/25 Administrivia.
1 The Language of Mathematics
2 Implications
Laryngitis (actually dysphonia was why I couldn't teach, although I felt pretty bad, too.) 		Do the following, but do not hand in: 1.4, 1.5 (p.9); 2.1, 2.2, 2.5 (p.19)
HW 1 (due 2/3) p. 53: 1-5 (solutions).
2/1 3 Proofs
4 Proof by Contradiction
5 Proof by Induction 		HW 2 (due 2/10): p. 54: problems 6, 7, 9, 10, 11, 12. (solutions).
Ungraded problems:3.2 and 3.3(p.29), 4.2 and 4.3(p.37), 5.1, 5.2 and 5.3(p.51).
2/8 5 Induction (continued)
Some snow and stuff. 		HW 3 (due 2/17): Ungraded problems (answers in back): 5.4 through 5.7 (p. 51-2),
p. 54-56: problems 13, 14, 16, 17, 20, 21, 25. (solutions).
2/15 5 Finish induction
6 The Language of Set Theory
HW 4 (due 2/24): Ungraded problems (answers in back): 6.4 through 6.7 (p. 72-3), 7.1, 7.5 through 7.8 (p. 86-7).
On pages 115-117: problems 3, 4, 5, 8, 9. (solutions).
2/22 7 Quantifiers
8 Functions 		HW 5 (due 3/10): Ungraded problems (answers in back): 8.1, 8.3, 8.5 (p.99)
On pages 117-119: problems 11, 12, 13, 15 (solutions).
3/1 8 Functions, continued
9 Injections, Surjections, and Bijections.
 HW 6 (due 3/10): Ungraded problems (answers in back): 9.1, 9.2, 9.4 (p. 113-4).
pages 117-119: problems 16, 18, 19, 20 (solutions).
3/8 10 Counting
11 Properties of Finite Sets.
 No homework due next week, since you should study for the exam. To help you do so, here is a copy of the exam I gave in Fall 2006, and the solutions.
3/15 First midterm on Mar 15.
11 Properties of Finite Sets (continued)
 Here is the exam, and the solutions.
HW 7 (due 3/24): Ungraded problems (answers in back): 10.2, 10.3, 10.4 (p. 132), 11.2, 11.5, 11.6 (p.143)
On pages 182-184: problems 1, 3, 5, 6, 11, 12.
(solutions).
3/22 12 Counting Functions and Subsets.
 Have a fun and enjoyable break!
3/29
Spring Break
4/5 The Binomial Theorem,
13 Number Systems.
 HW 8 (due 4/14): Ungraded problems (answers in back): 12.1 through 12.5, 13.1 through 13.3
On page 185-6: problems 17, 18, 23, 24, and 25. (solutions).
4/12 14 Counting Infinite Sets.
HW 9   Ungraded problems (answers in back): 14.1, 14.2, and 14.3.
On page 186: problems 26, 27, 28 (don't hand in). (solutions).
4/19 Review stuff in a probably futile attempt to clear up confusion.
4/26 Second midterm on 4/26
19 Modular Arithmetic.
21 Congruence Classes.
Here is the second exam, and the solutions.

HW 10 All the problems are ungraded.
(answers in back): 19.1, 19.3, 19.5, 21.2, 22.2, 22.3
On pages 271-273: problems 1, 3, 7, 13, 17, 18. (solutions).
5/3 22 Partitions and Equivalence Relations.
  
Final exam
Light Engineering 102
Tuesday, May 18, 2:15-4:45pm

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Page last modified on Monday, 10 May 2010 at 09:54 PM.