Mathematics
H113
Spring, 2003
Course Control Number
54939
Office: 510 642 0648
Fax: 510 642 8204
email:
ribet@math.berkeley.edu
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.
Graduate Student Instructor
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:
Course grades were a function of your "Total" grade. This number is the
average of your two MT grades, plus your final grade, plus a composite
HW grade between 0 and 25. This latter grade was computed in the following
way: I took your 14 homework grades and divided each by the maximum possible
grade for the assignment. That gave me 14 numbers between 0 and 1.
I added them together and subtracted the smallest; this left me with a
number between 0 and 13. I multiplied the resulting number by 25/13.
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 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.)
- Assignment due January 23, 2003:
- § 0.1:
1, 2, 3, 4, 6, 7
- § 0.2:
1 (d, f), 3, 4, 8
- 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
- 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
- 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
- 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
- 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
- Assignment due March 6, 2003:
[comments]
- § 3.1:
36
- § 3.2:
4, 5, 6, 8, 10, 11, 16
- § 3.3:
7, 8, 9. 10
- 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
- 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
- Assignment due April 3, 2003:
- § 4.5:
32, 33, 39, 40
- § 5.1:
1, 5, 10, 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
- 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
- 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
- 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
Anonymous Feedback
Please let me know what I'm doing right and what I'm doing wrong.
Constructive feedback is always welcome;
don't hesitate to propose changes.
You might be inspired by the
comments that were made by
students in my course three semesters ago.
The comment box is no longer functional; the course has ended. However,
you can still read
the comments that were
submitted when the box was working.
