Below the table is a listing of homework that will be collected.
Date | Section | Homeworks | Classwork | Challenge | Assigned Reading |
9/20/05 | 9. Equivalence relations | 1, 3, 5, 7, 9, 10, 14, 18, 19 | 2, 4, 7b, 13, 19b, 21 | 6, 8, 15, 22 | Section 10 |
9/22/05 | 10. Congruence | 1, 2, 5, 7, 11, 13-17, 19, 20, 25, 26 | 3, 4, 6, 8, 12 | 18, 22-24, 27, 29 | Section 11 |
9/27/05 | Applications of congruence (By Dr. Shipman) | Sections 12 | |||
9/29/05 Problem session Sept 29, 05.pdf Correction 9.8b natural numbers not multiples of 10 | 11. Integers modulo n12. The Euclidean Algorithm | Section 11. # 1-10, 13-16Section 12. # 1-11, 15 | Section 12. 1, 5 | Section 11. #18Section 12. # 16-21 | Section 13Section 14 |
10/04/05 | 14. Groups. Elementary Properties | 1-7, 11, 12, 14, 15, 18, 20, 21, 23-27, 34 | 28, 29, 33, 35 | Section 15 | |
10/06/05 Problem session Oct 6, 2005.pdf | Cyclic groups | ||||
10/11/05 | 15. Direct Products | 7, 8, 9 , 11, 12, 13, 17, 18, 19, 21, 22 | 25 | ||
10/13/05 Problem session Oct 13, 2005.pdf | Review Test # 2 Sections 9-15 | ||||
10/18/05 | Test # 2 |
Homework that will be collected
Homework | Date Assigned | Date Due | Hints |
page 57 # 9.18 | 9/20/05 | 9/27/05 | |
page 61 # 10.16, 10.20 | 9/22/05 | 9/29/05 | For #16: use the suggestion in the book; it is straightforward. |
page 69 #12.15 | 9/29/05 | 10/06/05 | |
page 80 # 14.25, 14.34 | 10/06/05 | 10/13/05 | For # 25, notice that this is an “if and only if” statement, so you must proof both directions.For # 34, start by taking and element a in the group G and form the subgroup generated by a. |