Tentative Schedule
Schedule will probably shift.
Check at least weekly (or in class) for changes.
wk |
date |
Monday |
Wednesday |
Friday |
1 |
3/31 |
Chapter 12 |
Chapter 13 |
Chapters 13, 14 |
2 |
4/7 |
Chapter 14 |
Chapters 14, 15 |
Chapter 15 |
3 |
4/14 |
Chapter 16 |
Chapter 17* |
Chapter 18* |
4 |
4/21 |
review |
Exam Chs.12-18 |
Chapter 19 |
5 |
4/28 |
Chapter 20 |
Chapter 20 |
Chapters 20, 21 |
6 |
5/5 |
Chapter 21 |
Chapter 21 |
Chapter 22 |
7 |
5/12 |
Chapter 22 |
Chapter 23 |
pre Chapter 31 |
8 |
5/19 |
Chapter 31 |
CAPE, Chapter 31 |
review |
9 |
5/26 |
|
spare |
Exam thru Ch. 31 |
10 |
6/2 |
Chapter 32 |
Chapter 32 |
Chapter 32 |
* We will cover Chapters 17 and 18 lightly.
Homework is an important part of learning mathematics.
Math 103B Homework (due in Wednesday lecture) page up for schedule
Be sure to read Academic integrity handout No late homework
****
Hand in only even numbered
exercises. ****
Solutions to odd numbered exercises are in the text.
Due 4/2:
Ch.12: #2, 3 (what if 2 is replaced by 4?), 4, 5, 6 (need not be same n for
each part), 7, 13
End of assignment.
Due 4/9:
Ch.13:
#1, 4, 6, 10, 12, 16, 23, 26
Ch.13: #46, 54
Ch.14: #1, 3, 4(remark: every subring of Z is a principal ideal),
6(b), 8, 14 (see #12), 15, 17
End of assignment.
Due 4/16:
Ch.14 #18, 24, 25, 32(also: Prove I is an ideal. Is it prime?--why not or
prove it is.)
Ch.12-14 supp.: #2, 4, 6(do it for Z, the integers), 16
Ch.15: #2, 10, 12, 19, 21, 40(Hint: suppose x != y but f(x) = f(y).
Let z = 1/(x-y) and look at f(z(x-y)).)
End of assignment.
Due 4/23:
Ch.16:
#2, 3, 9, 11, 13, 14, 15, 20(see #19)
Ch.17: #2, 5(a-c), 6, 32, 33
Ch. 18:
#2, 3, 5
End of assignment.
Exam Wed. 4/23 in class through Ch.18.
solutions
Bring a blue book.
You may have one sheet (8.5 by 11) of notes, BOTH sides.
Due 4/30:
Ch.19: #2, 6, 9, 12(replace the reals by a general field F), 13, 24
End of assignment.
Due 5/7:
Ch.20: #1, 2, 3, 4, 7, 10, 14, 20, 32, 33
End of assignment.
Due 5/14:
Ch.21: 3, 6, 7(hand
in:
Replace Q with an arbitrary field F whose characteristic is NOT 2), 8, 11,
12(p.374 may give you ideas), 34, 35
Ch.22: #1, 2
End of assignment.
Due 5/21:
Ch.22: # 4, 7, 8, 16, 21, 24
Ch.23: #6, 7, 9, 16, 18
End of assignment.
Due 5/30
-- Note Friday due date:
Supp.Ex. p.397: #2, 3, 6, 22
Ch.31: #4, 7, 8, 10
End of assignment.
Exam Fri. 5/30 in class covers
material after Ch.18 and may include some earlier material on fields.
Bring a blue book.
You may have two sheets (8.5 by 11) of notes, BOTH sides.
Andy will have office hour Wed. 12-1 and a review at 6PM.
In the 10th week, I'll introduce Galois theory. This is a pretty subject and I strongly urge you to come. I'll attempt to present so that you need not read the text beforehand. Hence it will only require 3 hours of your week. It will be included on a final exam and I will give out some suggested problems.
Suggested problems: Ch.32: #3, 4, 5, 10, 16
Final Exam covers all material, including basic Galois Theory. Exam Solutions
Bring a blue book.
You may have two sheets (8.5 by 11) of notes, BOTH sides.
The exam will be about twice as long as an hour exam, and should be similar except that it may not have true/false questions.