Modern Algebra MAT 3233 Section 901 Spring, 2001 Instructor: J. Iovino

A course outline and a general description of the policies of the course is available here

News

April 23.

Homework Exercises

Homework 1 (Due 1/31)

Study Sections 0.2 and 0.3. Page 15: 14, 16, 17. Page 20: 3, 4, 5, 6.

Homework 2 (Due 1/31)

Finish Section 0.3. Page 16: 24, 25, 29, 32, 33, 36.

Homework 3 (Due 2/12)

Study Section 1.1. Page 38: 1, 4, 5, 11, 26, 35.

Homework 4 (Due 2/19)

Study Section 1.2. Page 49: 6, 10, 11, 17.

Homework 5 (Due 2/26)

Study Section 1.3. Page 61: 1, 2, 3, 4, 5, 6, 10.

Homework 6 (Due 3/19)

Page 72: 20, 21, 36.

Homework 7 (Due 3/28)

Page 86: 43-47 (all), 60 (prove your answer).

Take-home exercises

Page 75: 51, 52, 53 (due 4/8). Page 87: 62, 64 (due 4/15).

Homework 8 (Due 4/25)

Page 102: 10, 44, 45, 50.

Material covered

1/16: Introduction. Review of prerequisites.

1/22: Review of prerequisites. (Section 0.2. Section 0.3 assigned.)

1/24: Review of prerequisites. (Section 0.2.)

1/29: Discussion of Homeworks 1 and 2.

1/31: Partitions.

2/5: Section 1.1.

2/7: Section 1.1. Identities. More examples.

2/14: Section 1.2.

2/19: Section 1.2 (Execises 25-27).

2/21: Started Section 1.3.

2/26: Section 1.4.

2/28: Section 1.4.

3/5: Dihedral groups and permutation groups.

3/7: Section 1.5.

3/19: Section 1.5.

3/21: Some connections with arithmetic.

3/26: More arithmetic.

3/28: Finished Section 1.5.

4/2: Remarks on the take-home problems.

4/4: Started Chapter 2.

4/9: Remarks on Test 2. Exercises.

4/16: Exercises from Section 2.1.

4/18: Started Section 2.2.

4/23: Section 2.2.

4/25: More Section 2.2.

Exam Dates