Approximate Schedule for MAT200, Fall 2006
Week  Topics  Homework  
9/4  Administrivia. 1 The Language of Mathematics 2 Implications 3 Proofs 
No real homework this week.  
9/11  3 Proofs (continuted) 4 Proof by Contradiction 5 Proof by Induction 
HW 1 (due 9/19 or 9/20):
Prove that if n is an integer, 2n+1 is odd. On pages 5354: problems 4 through 11. Text problems 2.1(p.19), 2.2(p.20), 3.2 and 3.3(p.29), 4.2 and 4.3(p.37) should be done, but won't be graded (since the answers are in the back). 

9/18  9/19: last day to add or drop without a W 5 Induction (continued) 6 The Language of Set Theory 
HW 2 (due 9/26 or 9/27):
Ungraded problems (answers in back): 5.1 through 5.7 (p. 512) On pages 5456: problems 12, 13, 14, 16, 17, 18, 20, 21, 25. To help you study, here is one student's homework, in PDF or Word. I had some issues with some of the fonts, and would do a few of the problems slightly differently. 

9/25  7 Quantifiers 8 Functions 
HW 3 (due 10/3 or 10/4):
Ungraded problems (answers in back): 6.4 through 6.7 (p. 723),
7.1, 7.5 through 7.8 (p. 867).
On pages 115117: problems 3, 4, 5, 8, 11, 12. 

10/2  No class 10/2 (Yom Kippur) 9 Injections, Surjections, and Bijections. 
HW 4 (due 10/10 or 10/11):
Ungraded problems (answers in back): 8.1, 8.3, 8.5 (p.99),
9.1, 9.2, 9.4 (p. 1134). On pages 117119: problems 13, 15, 16, 18, 19, 20. Here are the solutions. 

10/9  10 Counting. First midterm on 10/12 (lec 1) or 10/13(lec 2). Covers through ch.9. 
No homework due this week. For your entertainment, here is a copy of the midterm for lecture 2, as well as the solutions to the midterm.  
10/16  10 Counting (continued) 11 Properties of Finite Sets. 
HW 5 (due 10/24 or 10/25):
Ungraded problems (answers in back): 10.2, 10.3 (p.132),
11.2, 11.4 (p. 143), On pages 182184: problems 1, 3, 5, 6, 10, 11, 14. Here are the solutions. 

10/23  11 Properties of Finite Sets (continued) 12 Counting Functions and Subsets. 
HW 6 (due 10/31 or 11/1):
Ungraded problems (answers in back): 12.1 through 12.5. On page 185: problems 17 and 18. Here are the solutions (and an alternative writeup). 

10/30  13 Number Systems. 14 Counting Infinite Sets. 
HW 7
Ungraded problems (answers in back): 13.4, 14.1, 14.2,
and 14.3. On page 186: problems 23, 24, 25, 26. Here are the solutions. 

11/6  11/7: Last day to drop with W 14 Counting Infinite Sets (continued). Geometry Notes: 1. Introduction through 3. Ruler Axiom. 
HW 8 (due 11/16 or 11/17):
Geometry notes: Exercises 2.3, 2.6, 3.1, 3.2,
and 3.3.
Here are the solutions. 

11/13  Continue with geometry: 3. Ruler Axiom and 4. Protractor Axiom.  No homework due this week.  
11/20  Second Midterm on 11/20 (lec 2) or 11/21 (lec 1). No Classes 11/23 or 11/24 (Thanksgiving)  HW 9
Geometry notes: Exercises 4.3, 4.4, 4.7, and 4.8.
Here are the solutions.
For your entertainment, here is a copy of the midterm for lecture 2, as well as the solutions to the midterm. 

11/27  Geometry notes: 5. Triangles, 6. The Parallel Axiom Revisited, and 7. Similarity.  HW 10 Geometry notes: Exercises 5.2, 5.5,
5.6, 5.10, 6.1, 6.3, 7.10.
Here are the solutions. 

12/4  19 Modular Arithmetic. 21 Congruence Classes. 
HW 11 Ungraded problems (answers in back): TBA.
On pages 271273: problems 1, 3, 7, 13, 17, 18. Here are the solutions. 

12/11  21 Congruence Classes (continued). 22 Partitions and Equivalence Relations. Some reviewing last class 12/15 


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Page last modified on Sunday, 17 December 2006 at 05:18 PM.
Page last modified on Sunday, 17 December 2006 at 05:18 PM.