# Mathematics H113 Spring, 2003

Course Control Number 54939

## Professor Ken Ribet

### 885 Evans Hall

Office: 510 642 0648
Fax: 510 642 8204
email: ribet@math.berkeley.edu

## Textbook

Abstract Algebra, second edition, by David Dummit and Richard Foote. See Richard M. Foote's homepage for information about this book, including errata for the current edition and for previous editions.

The GSI for all Math 113 classes is Eli Grigsby. She holds office hours in room 891 on Wednesdays 10-3, and on Thursdays 8-11 and 4-6.

## Examinations

In preparing for the exams, you might find my directory of older exams somewhat useful. These exams were given by me in 1984 and 1991. (The midterms were 50 minutes long.) Also, it's probably worth checking out the Moffitt Library Exam Files as well.
• First Midterm: February 20, 2003. The exam will cover the material that we have discussed through February 13. This includes the book's sections through § 2.4 and certain passages in § 3.1 and in the first sections of Chapter 4. Most notably, we have talked extensively about cosets gH when H is a subgroup of G and about the actions of G on itself by left multiplication and by conjugation. We proved Cayley's theorem (p. 122) and the theorem on page 127 to the effect that non-trivial p-groups have non-trivial centers. Questions and solution sketches.
Distribution of scores:
• Second Midterm: Tuesday, April 8, 2003; questions and solution sketches.
Distribution of scores:
• Final Exam: Friday, May 16, 2003, 12:30-3:30 (exam group #2) in C220 Cheit Hall. (You could have an early lunch at Jimmy Bean's FIFO Cafe before the exam.) Questions and solution sketches.
Distribution of scores:

The intention here was to make the four course components count roughly as follows: Homework 25%, midterms 15% each, final 45%.

In this class, there were 28 registered students. Two students deserve special mention: one didn't take the final and failed, while the other took the course P/NP and got a P. The remaining 26 students received 12 As, 11 Bs and 3 Cs. This distribution is similar to those of other H113 classes in recent years.

 SID mod 100 MT1 MT2 Final HW Total Grade GAUSS 30 30 45 25 100.00 A++ 4 9 19 12 21.58 47.58 B- 6 24 30 28 18.17 73.17 A 7 14 18 20 18.94 54.94 B+ 8 19 22 24 18.12 62.62 B+ 11 24 28 37 19.18 82.18 A+ 11 13 30 25 21.81 68.31 A- 15 20 29 26 22.30 72.80 A 16 17 22 25 22.04 66.54 A- 16 23 26 34 22.33 80.83 A 19 18 16 11 17.75 45.75 B- 31 12 15 15 20.04 48.54 B 35 22 18 20 12.96 52.96 B+ 37 24 30 34 23.42 84.42 A+ 40 13 30 45 14.81 81.31 A+ 46 9 10 8 13.39 30.89 C 47 22 30 34 18.88 78.88 A 56 15 19 12 14.62 43.62 C 57 17 20 22 8.45 48.95 B 73 13 28 17 19.67 57.17 B+ 76 23 12 6 15.73 39.23 C 80 22 24 28 21.40 72.40 A 84 20 18 15 14.58 48.58 B 85 20 30 22 21.25 68.25 A- 90 19 22 32 20.25 72.75 A 91 16 18 13 16.62 46.62 B- 99 14 22 19 10.37 47.37 B- XX 8 19 18 13.94 45.44 P

## Homework Assignments

Homework will be assigned weekly and will be due on Thursdays. (Midterms wreak havoc on homework schedules, but I'll do my best to keep to this schedule.)
1. Assignment due January 23, 2003:
• § 0.1:    1, 2, 3, 4, 6, 7
• § 0.2:    1 (d, f), 3, 4, 8
2. Assignment due January 30, 2003:
• § 0.3:    3, 4, 5, 6, 7, 8, 11, 15(c)
• § 1.1:    1, 2, 5, 6, 9, 11, 14, 21, 25, 29, 30
3. Assignment due February 6, 2003:
• § 1.2:    1(bc), 4, 5
• § 1.3:    2, 4, 5, 7, 9, 11, 13, 14, 15
• § 1.4:    7
• § 1.6:    3, 4, 5, 6, 7, 9
4. Assignment due February 13, 2003: [comment]
• § 1.2:    6
• § 1.6:    15, 16, 17, 18, 19, 23, 24
• § 1.7:    3, 8, 9, 10, 18, 19
5. Assignment due February 20, 2003:
• § 2.1:    4, 5, 6, 7, 8, 10, 15
• § 2.2:    2, 3, 5, 9
• § 2.3:    2, 4, 5, 10, 12, 13
6. Assignment due February 27, 2003:
• § 2.4:    2, 3, 6, 7, 9, 14, 19
• § 3.1:    1, 2, 3, 4, 5, 6, 7, 8, 9, 15
7. Assignment due March 6, 2003: [comments]
• § 3.1:    36
• § 3.2:    4, 5, 6, 8, 10, 11, 16
• § 3.3:    7, 8, 9. 10
8. Assignment due March 13, 2003: [comments]
• § 3.4:    4
• § 3.5:    3, 4, 5, 12, 13
• § 4.1:    7, 8a, 10
• § 4.2:    2, 4, 8, 11, 12, 13
9. Assignment due March 20, 2003: [comments]
• § 4.3:    2 (a,c), 5, 6, 9, 13
• § 4.4:    1, 2, 3, 5, 6, 8, 12
• § 4.5:    13, 14, 15, 16, 17, 30
10. Assignment due April 3, 2003:
• § 4.5:    32, 33, 39, 40
• § 5.1:    1, 5, 10, 11
11. Assignment due Tuesday, April 15, 2003:
• § 5.5:    1, 2, 3, 4, 6
• § 7.1:    2, 3, 5, 6, 7, 8, 11, 15, 16
• § 7.3:    1, 2, 5, 7, 8
12. Assignment due April 24, 2003:
• § 7.1:    21
• § 7.3:    9, 10, 12, 13 ,14, 15
• § 7.4:    2, 5, 6, 9, 10, 11, 13, 15
13. Assignment due May 1, 2003: [comments]
• § 7.6:    1, 2, 3, 7
• § 8.1:    1 (d,e), 2 (b,c), 3, 6
• § 8.2:    3, 4, 5, 6
• § 8.3:    1
14. Assignment due May 8, 2003: [comments]
• § 8.2:    7
• § 8.3:    5, 6, 7, 11
• § 9.2:    1, 2, 3, 4, 6, 7
• § 9.3:    1, 2, 3
• § 9.4:    1, 2, 3

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