MAT 534 — Fall 2009 Homepage MAT 534 — Fall 2009 Problem Sets MAT 534 — Fall 2009 Exams

MAT 534 Syllabus
Algebra I

Fall 2009
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.

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    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