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MA541 - Fall 2006 Home Page
MA 541 - Fall 2006 - Home Page
Click HERE to see course syllabus in HTML.
Click HERE to see course syllabus in Adobe PDF format.
OFFICE HOURS: M 1-2, W 3-5 in Room MCS 235
Go here to download (NEW! Thu. 11/16) worked out problems from text.
Important Dates
Classes Begin - September 5
Days Off
- Wednesday November 22 - Friday November 24 (Thanksgiving)
Exams
- Exam 1 - Thursday October 12
- Exam 2 - Tuesday November 21
- Final Exam - Monday December 18, 12:30-2:30PM
Classes End - Tuesday December 12
Homework Assignments (Non turn-in)
Week 1
- Tuesday, Sep. 5
- Thursday, Sep. 7
- Ch. 2: 1,3,7,11,15,17,19,20,26
Week 2
- Tuesday, Sep. 12
- Thursday, Sep. 14
Week 3
- Tuesday, Sep. 19
- Ch.2: 25
- Ch.3: 1,4,7,9,11(a),14,17,25,27,35,41,43
- Turn in #2
- Thursday, Sep. 21
- Ch. 4: 1,3,5,7,8,11,13,17,21,25,27,27,31,37,49,53
- Ch. 1-4, Supplemental Exercises: 1,5,15,19,21
Week 4
- Tuesday, Sep. 26
- Thursday, Sep. 28
- Ch.5: 9,11,12,19,21,24,27,31,33
Week 5
- Tuesday, Oct. 3
- Thursday, Oct. 5
- Ch. 6: 1,3,5,7,22,23,25 <- for this, suppose there were an isomorphism from Z to Q and find a contradiction.
- Also see below for a site which lists the number of groups of a given order n up to 2019
Week 5
- Tuesday, Oct. 10
- Thursday, Oct. 12
Week 6
- Tuesday, Oct. 17
- Thursday, Oct. 19
- continue with Ch. 6 homework.
Week 7
- Tuesday, Oct. 24
- Thursday, Oct. 26
Week 8
- Tuesday, Oct. 31
- Ch. 7: 12,17,19,20,21,22,25,27,31,33,38
- Turn in #7
- Thursday, Nov. 2
- Ch. 8: 3-22,27-37 odd,41,43,45,49,51
Week 9
- Tuesday, Nov. 7
- Thursday, Nov. 9
Week 10
- Tuesday, Nov. 14
- Thursday, Nov. 16
Week 11
- Tuesday, Nov. 21
- Thursday, Nov. 23
Week 12
- Tuesday, Nov. 28
- Ch. 10: 1,3,7,8,9,11,13,15,17,21,27,35,49,51
- Thursday, Nov. 30
- Ch. 11: 1,3,4,7,9,11,19,31,36
Week 13
- Tuesday, Dec. 5
- Thursday, Dec. 7
Week 14
- Tuesday, Dec. 12
- Thursday, Dec. 7
Homework Assignments (Turn In!)
- #1. Assigned - Tuesday. Sep. 12 (Due Thursday Sep. 14)
- Ch. 0 #28
- Use second form of Mathematical Induction:
- P(1) true
- P(k) true for all k < n implies P(n) true
- then P(n) true for all n.
- #2. Assigned - Tuesday. Sep. 19 (Due Thursday Sep. 21)
- #3. Assigned - Tuesday. Sep. 26 (Due Thursday Sep. 28)
- Ch. 4 #40,54
- For #54, observe that
and 
- #4. Assigned - Tuesday. Oct. 3 (Due Thursday Oct. 5)
- Ch. 5 #42 or #46
- For #46,
- #5. Assigned - Tuesday. Oct. 17 (Due Thursday Oct. 19)
- Ch. 5-8 Supplementary Exercises #6
- #6. Assigned - Tuesday. Oct. 24 (Due Thursday Oct. 26)
- Ch. 6 #24
- #7. Assigned - Tuesday. Oct. 31 (Due Thursday Nov. 2)
- #8. Assigned - Tuesday. Nov. 7 (Due Thursday Nov. 7)
- #9. Assigned - Tuesday. Nov. 14 (Due Thursday Nov. 16)
- #10. Assigned - Tuesday. Dec. 5 (Due Thursday Dec. 7)
Miscellany (Look here for additional materials!)
- Click to download the following problems:
- Chapter 0: 14
- Chapter 2: 4, 5, 7, 9, 10, 20, 32, 34, 37
- Chapter 3: 13, 14, 20, 25, 28, 29, 32, 38, 43, 50, 51, 54
- Chapter 4: 2, 5, 8, 12, 13, 14, 16, 21, 28, 29, 33, 44, 45, 46, 47, 48, 50, 51, 62, 65
- Chapter 5: 3, 4, 10, 17, 19, 24, 27, 31, 37, 52
- Chapter 6: 2,3,6,7,10,30,35
- Click to download the following problems:
- Chapter 2: 11,17,19,20,27,29
- Chapter 3: 7,9,14,17,25,35,41
- Chapter 4: 4,11,25,27,31
- Click to download
- Ch. 7: 22,25
- Ch. 8: 11,12,14,16,19,20,21,22,29,31,37,49
- CORRECTION!! The count in #11 should be 12 not 16 elements of order 2
- Ch. 9: 2,5,9,11,17,28,43,57,59
- Ch. 7: 12,20,27,33; Ch. 8: 41
- Ch.9: 19, 25, 27, 39, and 43
Gallian's Web Page
History Web
Page mentioned in Gallian's Book
Table
with Number of Isomorphism Classes of Groups
- Note, to read this table, say to find the number of groups of order
132, go to the row that's marked 120+ then go over to the
- column marked +12 (i.e. 120+12=132) and look at the entry to find N(132) =
10