Welcome to Tom Roby's Math 3600 homepage! (Winter 1999)
(last updated: 18 February 1999)
Questions or Comments?
- send me email:
- Homepage: http://seki.mcs.csuhayward.edu/~troby
- office: Warren Hall 783, phone: 510-885-2691
- office hours: Tuesday/Thursday 1:15--2:00 and 6:00--6:45, and by
appointment. I encourage you to come to scheduled office hours if
possible. I'm happy to answer questions by email, which I check
frequently.
Class Information
Coordinates: Lectures meet Tues/Thur. 4:00--5:50 (10275) in WA
UM08.
Text: Burton, David M. Elementary Number Theory (4th Ed.)
McGraw-Hill, 1998.
Grading: There will be weekly homework assignments, weekly quizzes,
one midterm exam given in class and a final. Late homework
will not be accepted, and no makeup exams will be given, but your lowest
two quiz and lowest two homework scores will be dropped. If you have to
miss an exam for some reason, please see me beforehand as soon as
possible. The breakdown of points is:
| Homework | Quizzes | Midterm | Final
|
|---|
| 25% | 25% | 20% | 30%
|
|---|
Quizzes: There will be a short quiz at the end of class each
Tuesday on the assigned reading. I will try to be very specific about what
you should know. If you're not sure, please ask!
Midterm Exam: Tuesday February 9 in class. Please rearrange
your schedule now if necessary. It will cover material through Section
5.4 of Burton.
Final Exam: Thursday March 18 4:00--5:50.
Content: Number theory is one of the most beautiful subjects
in all of mathematics. Our goal is to cover most of chapters 1--9 of
Burton, culminating in Gauss's law of quadratic reciprocity. Other
topics as time permits.
The only way to learn mathematics is by doing it! Complete each
assignment to the best of your ability, and get help when you are
confused. Come to class prepared with questions, having read the text
with pencil and paper at hand. Don't hesitate to
seek help from other students. Sometimes the point of view of someone
who has just figured something out can be the most helpful.
HOMEWORK ASSIGNMENTS
All homework assignments are listed on the date due. (The ones more
than two weeks into the future are tentative.)
- (Tue. 12 Jan.) HW #1: p.6: 1c,2,5,11,12; p. 15: 1,2.
- (Thu. 14 Jan.) HW #2: p.10: 1,3df; p.19: 2,3,5,8; p.25: 2ad,3; p.31: 1,2abc
- (Thu. 21 Jan.) HW #3: p.25: 8,12,17,21; p.31:4ac,7-9; p. 37:1,2,3,7
- (Thu. 28 Jan.) HW #4: p.43: 4,5,7,11,12; p.49: 1-3,4a,12b; p.58:
2,3. (PLUS HANDOUT on mods)
- (Thu. 04 Feb.) HW #5: p.67: 2,4,8,9; p. 79:1--5,8; p. 93:1,4ab,12
- (Thu. 18 Feb.) HW #6 p.107: 2,3,5b,7,8,9; p.119: #2bc,3,5,6;
p. 127: #1,2 (Rewrites of Midterm due!)
- (Thu. 25 Feb.) HW #7: p.127: 4ab,8,9a,11a,13; p. 132: 1a,4,6,7,9;
p.153: 1a,2,3
- (Thu. 04 Mar.) HW #8: p.153: 1a,3,10,12; p.160: 2,3,4a,10;
p.169:2bc,3ad,12,17; p.175: 1b,3,4,7
- (Thu. 11 Mar.) HW #9: p.186: #1abc,2abc,5; p.193: #1abc,3,5,14;
p.198: #2ab,4
QUIZZES
Quizzes cover material in Burton unless otherwise specified. Make sure
you know the basic definitions and understand the statements of the
theorems. (Look for anything in boldface print ).
- (Tue. 12 Jan.) Quiz #1: Sec. 1.1, 2.1, 2.2
- (Tue. 19 Jan.) Quiz #2: Sec. 2.3, 2.4, 3.1
- (Tue. 26 Jan.) Quiz #3: Sec. 4.2-4 + Proof that #primes is infinite
- (Tue. 2 Feb.) Quiz #4 (mislabled 5): Sec. 4.4,5.3-4
- (Tue. 9 Feb.) NO QUIZ, midterm exam through Sec. 6.1
- (Tue. 16 Feb.) Quiz #6: Oops.
- (Tue. 23 Feb.) Quiz #7: Sec. 6.1, 6.3, 7.2, 7.3
- (Tue. 2 Mar.) Quiz #8: Sec. 8.2,8.4, 9.1
- (Tue. 9 Mar.) Quiz #9: Sec. 9.2,9.3,9.4
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