MAT 534 Syllabus Algebra I Fall 2009

• Week 1, August 31st -- September 4th
  Chapter 1. Introduction to Groups, p. 16
  

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• Week 2, September 7th -- September 11th
  Chapter 2. Subgroups, p. 46
  Problem Set 1 due in Thursday lecture.

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• Week 3, September 14th -- September 18th
  Chapter 3. Quotient Groups and Homomorphisms, p. 73
  Problem Set 2 due in Thursday lecture.

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• 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.

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• 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.

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• 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.

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• Week 7, October 12th -- October 16th
  Chapter 11. Vector Spaces (continued), p. 408
  Problem Set 5 due in Thursday lecture.

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• Week 8, October 19th -- October 23rd
  Inner Product Spaces and The Spectral Theorem
  Problem Set 6 due in Thursday lecture.

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• Week 9, October 26th -- October 30th
  Chapter 7. Introduction to Rings, p. 223
  Problem Set 7 due in Thursday lecture.

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• 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.

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• Week 11, November 9th -- November 13th
  Chapter 9. Polynomial Rings, p. 295
  Problem Set 9 due in Thursday lecture.

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• 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.

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• 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.

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• Week 14, November 30th -- December 4th
  Chapter 10. Introduction to Module Theory, p. 337
  Problem Set 10 due in Thursday lecture.

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• 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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