Math 124, Number Theory
Fall 2003
FINAL EXAM WEBPAGE
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Instructor: Frank Calegari
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Time and place: MWF 11:00 a.m.-12:00 p.m. 310 Science Center.
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E-mail: fcale@math.harvard.edu.
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Office: Science Center 432
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Office Phone: 495-8796
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Office Hours: My fall 2003 office hours are:
- Tue, 11:00-12:00, Thurs, 2:00-3:00.
- Prerequisites: Mathematics 122 (which may be taken concurrently) or equivalent.
- Textbook: "The Higher Arithmetic" by Davenport.
I also recommend that you download
this book
that William Stein is writing (he was the Math 124 professor
in 2001 and 2002).
You might also like to check out his
web site
for the course.
- Course Blurb: Factorization and the primes; congruences; quadratic residues and reciprocity; continued fractions and approximations; Pell's equation; selected Diophantine equations; theory of integral quadratic forms.
Class Handouts:
Homework Assignments:
Homework Assignment #1 (pdf)
(ps)
Homework Solutions #1 (pdf)
Homework Assignment #2 (pdf)
(ps)
Homework Solutions #2 (pdf)
Homework Assignment #3 (pdf)
(ps)
Assignment #3 numbers in text format (text)
Homework Assignment #4 (pdf)
(ps)
Homework Solutions #4 (pdf)
Homework Assignment #5 (pdf)
(ps)
Homework Solutions #5 (pdf)
Take Home Midterm (pdf)
(ps)
Midterm Solutions (pdf)
(ps)
Homework Assignment #6 (pdf)
(ps)
Homework Solutions #6 (pdf)
Homework Assignment #7 (pdf)
(ps)
Homework Solutions #7 (pdf)
Notes on Ideals I & II: (I pdf)
(I ps)
(II pdf)
(II ps)
Homework Assignment #8 (pdf)
(ps)
Homework Assignment #9 (pdf)
(ps)
Exams:
There will be one midterm and a final exam.
The final exam is available here.
Grading Policy:
Homework will account for 40% of your course
grade, the midterm 20%, and the final exam 40%.
Collaboration:
On the homework sets, collaboration is not only allowed
but encouraged. However, you must write up and understand your own
individual homework solutions, and you may not share written solutions.
If you learn how to solve a problem by
talking to a classmate or looking it up in a book, you should cite the source
in your homework write-up, just as you would reference your sources in a
literature or history class. You are not allowed to collaborate on
either the midterm or final exam.
Return to
Frank's home page.