MAT 534 — Fall 2009 Homepage MAT 534 — Fall 2009 Syllabus MAT 534 — Fall 2009 Exams

MAT 534 Problem Sets
Algebra I

Fall 2009

There will be weekly problem sets collected in the Thursday lecture. Problems due one week will often practice material covered the previous week. It is important to do the problems in a timely manner; do not postpone problems until the last minute.

UNDER NO CIRCUMSTANCES WILL LATE HOMEWORK BE ACCEPTED.

In exceptional circumstances such as a documented medical absence, etc., the instructor will drop the missing problem set and compute the problem set total using the remaining problem sets.

You are encouraged to work with other students in the class, but your final write-up must be your own and must be based on your own understanding. Moreover, write-ups must be legible, etc. Write-ups which prove too difficult for the grader to read may be marked incorrect or may be returned to the student to be rewritten. All questions regarding grading of a problem set should be addressed to the instructor in a timely fashion.

In computing final grades, only the 10 best problem sets (out of 11 total graded problem sets) will be used.

In the assignments below, please work through all problems. Only the RED problems will be graded. Please direct any other questions regarding problem sets to your instructor.

  • Problem Set 1 is due in the Thursday lecture the week of Sept. 7th — 11th.
    Section 1.1: 9, 22.
    Section 1.2: 4, 10.
    Section 1.3: 2, 13.
    Section 1.4: 2, 11.
    Section 1.6: 9 (Hint: Use Exercise 1.2.4 and 1.3.13 assigned above.), 23.
    Section 1.7: 8, 10.
  • Problem Set 2 is due in the Thursday lecture the week of Sept. 14th — 18th.
    Section 2.1: 6, 10.
    Section 2.2: 4, 14.
    Section 2.3: 21, 26.
    Section 2.4: 7, 12.
    Section 2.5: 11, 16.
  • Problem Set 3 is due in the Thursday lecture the week of Sept. 21st — 25th.
    Section 3.1: 17, 24.
    Section 3.2: 4, 12.
    Section 3.3: 3, 8.
    Section 3.4: 7, 8.
    Section 3.5: 3, 16.
  • Problem Set 4 is due in the Thursday lecture the week of Sept. 28th — Oct. 2nd.
    Section 3.4: 9, 10.
    Section 3.5: 6, 8.
    Section 4.1: 3, 7(a) and (d).
    Section 4.2: 11, 12, 13.
  • Problem Set 5 is due in the Thursday lecture the week of Oct. 12th — 16th.
    Section 4.3: 19, 21, 24.
    Section 4.4: 2, 10.
    Section 4.5: 24, 38.
    Section 4.6: 3, 4.
  • Problem Set 6 is due in the Thursday lecture the week of Oct. 19th — 23rd.
    Section 4.6: 6, 7.
    Section 5.1: 7, 8*, 9*.
    Section 5.2: 8, 14.
    Section 5.4: 8, 9.
    * There is a small mistake in Problems 8,9 of Section 5.1. Please prove injectivity of the homomorphism from Problem 8 only for the special case occurring in Problem 9.
  • Problem Set 7 is due in the Thursday lecture the week of Oct. 26th — 30th.
    Section 5.5: 7, 13, 23.
    Section 11.1: 6, 8, 9.
    Section 11.2: 19, 26, 33.
  • Problem Set 8 is due in the Thursday lecture the week of Nov. 2nd — 6th.
    Section 11.3: 2, 3, 4.
    Section 11.4: 4, 5.
    Section 11.5: 5, 11, 13.
  • Problem Set 9 is due in the Thursday lecture the week of Nov. 9th — 13th.
    Problem Set on the spectral theorem ( pdf, dvi, ps).
  • Problem Set 10 is due in the Thursday lecture the week of Nov. 30th — Dec. 4th.
    This problem set is to be assigned.
  • Problem Set 11 is due in the Thursday lecture the week of Dec. 7th — Dec. 11th.
    This problem set is to be assigned.

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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