The schedule for topics covered in lecture is as follows. Please do
the assigned reading prior to lecture. This will make the lectures
more effective for you.
Week 1, August 31st -- September 4th
Chapter 1. Introduction to Groups, p. 16
Week 2, September 7th -- September 11th
Chapter 2. Subgroups, p. 46
Problem Set 1
due in Thursday lecture.
Week 3, September 14th -- September 18th
Chapter 3. Quotient Groups and Homomorphisms, p. 73
Problem Set 2
due in Thursday lecture.
Week 4, September 21st -- September 25th
Special week because of the quiz
Chapter 4. Group actions, p. 112 DIAGNOSTIC QUIZ in Thursday lecture.
Problem Set 3
due in Thursday lecture.
Week 5, September 28th -- October 2nd
Special week because of the holiday
Chapter 5. Direct and Semidirect Products and Abelian Groups, p. 152 No lecture on Tuesday, September 29th, the
correction day.
Problem Set 4
due in Thursday lecture.
Week 6, October 5th -- October 9th
Chapter 11. Vector Spaces, p. 408 MIDTERM 1 in Thursday lecture. No assigned problems to be collected this week.
Week 7, October 12th -- October 16th
Chapter 11. Vector Spaces (continued), p. 408
Problem Set 5
due in Thursday lecture.
Week 8, October 19th -- October 23rd
Inner Product Spaces and The Spectral Theorem
Problem Set 6
due in Thursday lecture.
Week 9, October 26th -- October 30th
Chapter 7. Introduction to Rings, p. 223
Problem Set 7
due in Thursday lecture.
Week 10, November 2nd -- November 6th
Chapter 8. Euclidean Domains, Principal Ideal Domains and Unique
Factorization Domains, p. 270
Problem Set 8
due in Thursday lecture.
Week 11, November 9th -- November 13th
Chapter 9. Polynomial Rings, p. 295
Problem Set 9
due in Thursday lecture.
Week 12, November 16th -- November 20th
Chapter 15. Commutative Rings and Algebraic Geometry, p. 656 MIDTERM 2 in Thursday lecture. No assigned problems to be collected this week.
Week 13, November 23rd -- November 27th
Semisimple Rings and Wedderburn's Theorem No lecture Thursday, November 26th.
No assigned problems to be collected this week.
Week 14, November 30th -- December 4th
Chapter 10. Introduction to Module Theory, p. 337
Problem Set 10
due in Thursday lecture.
Week 15, December 7th -- December 11th
Chapter 12. Modules over Principal Ideal Domains, p. 456
Problem Set 11
due in Thursday lecture.
Jason Starr
4-108 Math Tower
Department of Mathematics
Stony Brook University
Stony Brook, NY 11794-3651
Phone: 631-632-8270
Fax: 631-632-7631 Jason Starr