Math 124, Number Theory

Fall 2003

FINAL EXAM WEBPAGE

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Instructor: Frank Calegari
Time and place: MWF 11:00 a.m.-12:00 p.m. 310 Science Center.
E-mail: fcale@math.harvard.edu.
Office: Science Center 432
Office Phone: 495-8796
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:

First day of class (pdf) (ps)
Chinese remainder theorem example (pdf) (ps)

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:

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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.

Frank's home page