Revised 12/07/17 at 9:20 PM
MTH 519--Introduction to Abstract Algebra--Homework Assignments
Homework:
- usually due Fridays in lecture
- must be typed in LaTeX double spaced; a template is available in
UBLearns > Course Documents
- Diagrams may be handwritten
- problems in brackets [ ] are to be done, but not turned in
Exams:
- Exam I: Friday, Oct 6 completed
- Exam II: Wednesday, Nov 1 completed
- Exam III: Wednesday, Nov 29 completed
- Final Exam: Monday, December 11, 11:45 AM - 2:45 PM,
Math 150
Office Hours:
- Monday 1:00 - 1:50, Wednesday 1:30 - 2:20
- By appointment
Textbook:
- Abstract Algebra, 3rd edition, by David Dummit and Richard Foote
Final Exam
- When: Monday, December 11, 11:45 AM - 2:45 PM
- Where: Math 150
- Covers:
- 0.1
- 2.4, 3.1-
3.3, 3.5, 4.1 - 4.5, 5.1, 5.2, 5.4, 7.1 - 7.6,
8.1 - 8.3, 9.1, 9.2, 9.4, 13.1, 13.2
- Includes all the homework
problems assigned (whether to turn in or not turn in)
- Format: 9 problems/proofs
- proofs from the book or lecture, or pieces of proofs, may well be on
the exam
- Seating will be assigned
- No alphanumeric/programmable/graphing calculators allowed
Assignments XIII--Week of December 4
- Chapter 9 Problems: Due Friday,
December 8
- 9.3: [Look at 3]
- 9.4: [1], 2d, 3, [7]
- Chapter 13 Problems: Due Friday, December 8
- 13.1: 2, [3], 5, [6], [7]
- 13.2: [3], 4, 5, 7
- You may use Mathematica to do calculations for #7, but not to just
solve the problem completely.
Coming Attractions (tentative list of upcoming assignments):
Assignments I--Week of August 28
- Read Chapter 0
- Course will begin with Chapter 1.
- No classes: Monday, Sept 4
(Labor Day)
- Chapter 0 Problems: Due Friday, Sept 1
- 0.1: 5 - 7
- 0.2: [1], 6, 7, 10 Note: 10 has two parts; treat them as separate
questions (10a and10b). You may answer 10b even if you cannot solve
10a.
- 0.3: [2], 6, 7, 11 - 14
- All problems to be turned in must be typed in LaTeX. A template is
available in UBLearns > Course Documents.
Assignments II--Week of September 4
- No classes: Monday, Sept 4
(Labor Day)
- Chapter 1 Problems: Due Friday, Sept 8
- 1.1: [19], [24], 25, [26], 27, [28], 30 - 33a, [33b], 34, 35 Problems
in brackets are to be done, but not turned in
- 1.2: 4, 5
- 1.3: [2], 10, 15, 18
Assignments III--Week of September 11
- Chapter 1, 2 Problems: Due Friday, Sept 15
- 1.4: 4, 5, 8, [10, 11]
- 1.6: 9, 13, 14
- 1.7: 17, 18, 19
- 2.1: [1], [2], 5--8, 15
Assignments IV--Week of September 18
- Chapter 2 Problems: Due Friday, Sept 22
- 2.2: [2, 5a, 5b], 6a, 14
- 2.3: [1], [3], 8, 9, 12, 16, [20], 21, 24
- For 21: Use induction and the binomial theorem ...
- 2.4: 3, 14, 15
Assignments V--Week of September 25
- Chapter 3 Problems: Due Friday, Sept 29
- 3.1: 1, 5, [30], 36, 41
- Note: 41 is subgroup generated by ...
- 3.2 Additional Problems: 1
- Additional Problems are in UBLearns > Course Documents
- 3.2: 11, 18, 19
- 3.3: 3, 7, 8
Assignments VI--Week of October 2
- Chapter 3 Problems: Due Monday, October 9 [note
change from usual due date]
- Chapter 4 Problems:
Assignments VII--Week of October 9
- Chapter 4 Problems: Due Friday, Oct 13
Assignments VIII--Week of October 16
- Chapter 4 Problems: Due Friday, Oct 20 [Changed to
Monday, Oct 23]
- 4.4: 1, 2, 6
- 4.5: 4, 8, 13, 16, 46 (a hard problem)
- Chapter 5 Problems: Due Friday, Oct 20 [Changed to
Monday, Oct 23]
- 5.1: 1, 4
- Note: 11 will be on the next assignment
Assignments IX--Week of October 23
- Chapter 5 Problems: Due Friday, Oct 27
- 5.1: 11
- 5.2: [2], 6, 8 (a more difficult problem)
Assignments X--Week of November 6
- Chapter 5 Problems: Due Friday, Nov 10
- 5.4:[[1-3], [10], 11, 15, 16
- Chapter 7 Problems: Due Friday, Nov 10
- 7.1: [11], 15, 16, [17], [21], 22
- 7.2: [2], [3a], 3b, 3c, 4
Assignments XI--Week of November 13
- Chapter 7 Problems: Due Friday, Nov
17
- 7.3: 16, 19, [25--just read], [26a], 26b, 26c, 34, 37
- 7.4: 5, [8], 11, 19, 30 (a harder problem)
- 7.5: 3
- 7.6: 1, 3, [4]
Assignments XII--Week of November 20
- Chapter 8 Problems: Due Monday, Nov
27
- 8.1: 3, 6 [an interesting but harder problem]
- 8.2: 1, 3, 4
- 8.3: Look at 8a
- Chapter 9 Problems: Due Monday, Nov 27
- 9.2: 2, 4
- #4 presupposes that you know how to prove there are infinitely
many prime numbers
Exam I
- When: Friday, October 6 at 11:00-11:50 AM
- Where: Math 150
- Covers:
- 0.1 - 2.4, 3.1 - 3.3
- Includes all the homework
problems assigned (whether to turn in or not turn in)
- Format: 4 or 5 problems/definitions/proofs/statement of
theorems
- proofs from the book or lecture, or pieces of proofs, may well be on
the exam
- Seating will be assigned
- No alphanumeric/programmable/graphing calculators allowed
Exam II
- When: Wednesday, November 1 at 11:00-11:50 AM
- Where: Math 150
- Covers:
- 3.3, 3.5, 4.1 - 4.5, 5.1
- Includes all the homework
problems assigned (whether to turn in or not turn in)
- Format: 4 or 5 problems/definitions/proofs/statement of
theorems
- proofs from the book or lecture, or pieces of proofs, may well be on
the exam
- Seating will be assigned
- No alphanumeric/programmable/graphing calculators allowed
Exam III
- When: Wednesday, November 29 at 11:00 -11:50 AM
- Where: Math 150
- Covers:
- 5.2, 5.4, 7.1 - 7.6, 8.1, 8.2,
9.1, 9.2
- Includes all the homework
problems assigned (whether to turn in or not turn in)
- Format: 4 or 5 problems/definitions/proofs/statement of
theorems
- proofs from the book or lecture, or pieces of proofs, may well be on
the exam
- Seating will be assigned
- No alphanumeric/programmable/graphing calculators allowed