MA 542 - Spring 2002 - Home Page

Click HERE to see course syllabus (in MS-Word format).

Click HERE to see course syllabus (in Adobe PDF format).

Note: ROOM CHANGE - SOC B67

OFFICE HOURS: M,W 3-5 in Room MCS 235

Important Dates

Classes Begin - Jan. 14

Days Off

• Monday January 21
• Monday February 18 (substitute monday on Tuesday February 19!)
• Monday March 4 - Friday March 8 (spring break)

Exams

• Exam 1 - Friday Feb. 22 (Due Monday Feb. 25)
• Exam 2 - Friday Apr. 12 (Due Wednesday Apr. 17)
• Final Exam - Friday May 10 [2-4 PM]

Homework Assignments (Non turn-in)

Week 1

• Mon, Jan. 14
  • none
• Wed, Jan. 16
  • Ch.12: 1,3,9,12,13,17,19
• Fri, Jan. 18
  • Ch.12: 22,23,25,29,31,41 (think of sample elements in this ring),47
  • Click here to download
    the Maple worksheet comparing the rings M₂(Z)[x] vs. M₂(Z[x])

  Week 2

• Mon, Jan. 21
  • (no class)
• Wed, Jan. 23
  • Ch. 13: 4,5,7,9,11,13,15,17,19
  • Turn in #1
• Fri, Jan. 25
  • Ch. 13: 16,21,25,35,41,45,55

  Week 3

• Mon, Jan. 28
  • none
• Wed, Jan. 30
  • Ch. 13: 36
  • Ch. 14: 3,5,7,9
  • Turn in #2
• Fri, Feb. 1
  • Ch. 14: 10,11,12,13,14,17,23

  Week 4

• Mon, Feb. 4
  • Ch. 14: 23,25,29,39,49
• Wed, Feb. 6
  • Ch. 14: 27,29,31,37,54
  • Turn in #3
• Fri, Feb. 8
  • Ch. 14: 35
  • Ch. 12-14 Supplementary Exercises: 7,9,15,18,25,31,37,41

  Week 5

• Mon, Feb. 11
  • Ch. 15: 5,11,13,15,21,22,23
• Wed, Feb. 13
  • Ch. 15: 27,36,39,45,47
  • Turn in #4
• Fri, Feb. 15
  • Ch. 15: 50,51,56,59,63
  • See below for worked out solutions of some selected exercises in Chapter 14 and the supplementary exercises from 12-14.

  Week 6

• Tue, Feb. 19 (Substitute Monday)
  • none
• Wed, Feb. 20
  • Ch. 16: 1,2,9,11,13,15
• Fri, Feb. 22
  • (Exam #1)

  Week 7

• Mon, Feb. 25
  • Ch. 16: 19,29,31,32,33,41
• Wed, Feb. 27
  • Turn in #5
• Fri, Mar. 1
  • Ch. 17: 3,5,11,13,25

  Week 8

• Mon, Mar. 11
  • Ch. 17: 15,21,29,31,32
• Wed, Mar. 13
  • Turn in #6
• Fri, Mar. 15
  • Ch. 18: 5,13,14,17

  Week 9

• Mon, Mar. 18
  • Ch. 18: 15,16,21,22,23,29
• Wed, Mar. 20
  • Ch. 18: 33,37
  • Turn in #7
• Fri, Mar. 22
  • Ch. 15-18 Supplementary Exercises: 1,3,7,13,19

  Week 10

• Mon, Mar. 25
  • Ch. 19: 3,5,7,9
• Wed, Mar. 27
  • Turn in #8
• Fri, Mar. 29
  • none

  Week 11

• Mon, Apr. 1
  • Ch. 20: 1,3,5,7,9,13,17
• Wed, Apr. 3
  • Turn in #9
• Fri, Apr. 5
  • Ch. 20 23,25,27,29

  Week 12

• Mon, Apr. 8
  • See below for information on the UMA Presentation this evening at 6PM.
• Wed, Apr. 10
  • none
• Fri, Apr. 12
  • none (Exam 2 due on Wednesday)

  Week 13

• Mon, Apr. 15
  • (no class)
• Wed, Apr. 17
  • none
• Fri, Apr. 19
  • Ch. 21: 3,7,9,10

  Week 14

• Mon, Apr. 22
  • Ch. 21: 11,15,17,19,23,25,33,35
• Wed, Apr. 24
  • Turn in #10
• Fri, Apr. 26

  Week 15

• Mon, Apr. 29
  • none
• Wed, May. 1

Homework Assignments (Turn In!)

• #1. Assigned - Wed. Jan. 23 (Due Fri. Jan. 25)
  • Ch. 12 #24 OR #34
  • Note, if A and B are sets (or groups, or rings etc.), to show that A = B you need to show that A B and B A
• #2. Assigned - Wed. Jan. 30 (Due Fri. Feb. 1)
  • Ch. 13 # 54
  • Recall that U(R), the units in a ring R, is the set of all elements in R with a multiplicative inverse and that this forms a group under multiplication.
  • Consider the case when R is a field.
• #3. Assigned - Wed. Feb. 6 (Due Fri. Feb. 8)
  • Ch. 12-14 Supplementary Exercise #48 (P.269)
  • The key is to determine when Z_p[k] is an integral domain.
• #4. Assigned - Wed. Feb. 13 (Due Fri. Feb. 15)
  • Ch. 15: #38
  • The Frobenius map f(x)=x^p is very important in finite field theory.
• #5. Assigned - Wed. Feb. 27 (Due Fri. Mar. 1)
  • Ch. 16: #24
• #6. Assigned - Wed. Mar. 13 (Due Fri. Mar. 15)
  • Ch. 17: #14
• #7. Assigned - Wed. Mar. 20 (Due Fri. Mar. 22)
  • Ch. 18: #30
• #8. Assigned - Wed. Mar. 27 (Due Fri. Mar. 29)
  • Ch. 15-18 Supplementary Exercises: #14
• #9. Assigned - Wed. Apr. 3 (Due Fri. Apr. 5)
  • Ch. 19 # 30 (check out 27,28 first, for reference)
• #10. Assigned - Wed. Apr. 24 (Due Fri. Apr. 26)
  • Ch. 21 # 16,34

• UMA Presentation Prime Numbers Meet the Internet: An Introduction to Cryptography (tonight at 6PM!)
• Some worked out exercises (all very computational in nature) [PDF format]
  • Chapter 14 #27
  • Chapter 14 #29
  • Chapter 14 #35
  • Chapter 12-14 Supplementary Exercises #31

• Gallian's Web Page

• History Web Page mentioned in Gallian's Book

• A few notes on M₂(Z)[x] vs. M₂(Z[x]) -- Note, you need Adobe Acroread to read this PDF file.