Weekof 
Topics 
Assignments 
Sep 6

Class starts: Thursday 9th.
2.3 Divisibility
2.4 Primes, GCDs

2.3: # 39 odd, 17, 20, 21, 24, 25, 26, 40
2.4: # 2abc, 3cd, 10, 21, 33, 34

Sep 13

2.5 Congruence of integers
2.6 Congruence classes

2.5: # 115 odd, 27, 28
2.6: # 1abcd, 2ab, 3abd, 4abc, 5abg, 6ac, 7ac, 8bde, 16, 18, 2023

Sep 20

1.6 Matrices
1.4 Binary operations

1.6: # 3, 912, 14, 16, 30, 31
1.4: # 1abcd, 2abcd, 36, 78, 1213

Sep 27

3.1 Definition of a group
3.2 Properties of group elements

3.1: # 17, 1115, 17, 20, 21, 23, 25, 28, 29
3.2: # 16, 1115, 17, 1920

Oct 4

3.3 Subgroups
3.4 Cyclic groups
Exam I: Thursday Oct 7th.

3.3: # 2, 3, 6a, 7a, 8, 13ac, 14ab, 17, 18a, 29, 30, 33, 40, 41
3.4: # 2, 5, 7, 8, 9ac, 10c, 11ac, 12a, 16, 18c, 23ab, 25, 2728
Practice Problems Exam I

Oct 11

Monday classes Oct 12
3.5 Isomorphisms
3.6 Homomorphisms

3.5: # 14, 7, 8, 10, 12, 15, 24, 26
3.6: # 15, 8, 9, 11, 1518

Oct 18

4.1 Finite permutation groups
4.4 Cosets of a subgroup

4.1: # 110abc, 14
4.4: # 3, 7, 8, 12, 19, 2022, 24

Oct 25

4.5 Normal subgroups
4.6 Quotient groups

4.5: # 1c, 32, 2, 4, 6, 22, 25, 2930, 33
4.6: # 3, 7, 1819, 21, 30, 34, 37

Nov 1

4.7 Direct Sums
5.1 Definition of a ring

4.7: # 1, 3, 7, 1617, 19
5.1: # 1ab, 2abcdf, 7, 8, 10, 14ac, 16, 2325, 27, 30, 39, 4748

Nov 8

5.2 Integral domains and fields
Exam II: Tuesday Nov 9th.
No class Nov 11th.

5.2: # 1abeg, 2, 8, 11, 1516, 18, 21, 23

Nov 15

6.1 Ideals and quotient rings
6.2 Ring homomorphisms

6.1: # 1, 34, 68, 1115, 19acd, 2021, 2627, 31
6.2: # 1, 3, 6, 7, 10, 12, 14, 2122, 24, 25a

Nov 22

6.3 The characteristic of a ring
No class Nov 2526

6.3: # 14, 8, 9, 10, 14, 16, 18, 20

Nov 29

6.4 Maximal ideals
8.1 Polynomials over a ring

6.4: # 15, 911, 1315, 19, 2125, 2728
8.1: # 3, 57, 1012, 14, 1618

Dec 6

8.2 Polynomial divisibility
8.3 Factorization in F[x]

8.2: # 1, 4, 21, 3334
8.3: # 1, 2, 5, 6

Dec 14th.

Final!

3:006:00 PM
