Math 420: Introduction to Number Theory

Professor Richard Kenyon
Tel. 863-6406
rkenyon -at- math dot brown dot edu
office: Kassar 305
Office hours: Mondays 2-3pm or by appointment

Text: J. Silverman, A Friendly Introduction to Number Theory, 4th ed.

Course outline: We'll cover many of the topics of elementary number theory, including Pythagorean triples, factorization, modular arithmetic, primes, quadratic reciprocity, and so on. We will cover most of the material in chapters 1-30, roughly, depending on time.


Midterm March 14 in class


Final May 14, 2pm, BH 155

One page of notes is allowed.

There will be homeworks collected weekly and one midterm. The final grade will be weighted as follows: Homework 35%, midterm 20%, final 45%.


Homework:

Late homework will not be accepted. The lowest homework grade will be dropped.

Homework 1, due Tuesday Feb. 5 in class:
1.1, 1.2, 1.3
2.1,2.5,2.8
3.2,3.4

Homework 2, due Tuesday Feb. 12 in class:
5.1, 5.3, 5.4,
6.1, 6.2, 6.4, 6.6,
7.3, 7.4, 7.5

Homework 3, due Thursday Feb. 21 in class:
8.3, 8.4, 8.6,
9.2
10.1, 10.2,
11.2, 11.7

Homework 4, due Tuesday Feb. 26 in class:
12.2, 12.3a,b, 12.5, 13.3, 14.1, 15.1, 15.2, 15.5

Homework 5, due Tuesday March 5 in class:
16.1a, 16.5, 17.2, 17.4, 18.1 (this can be done with an ordinary calculator but feel free to use a computer algebra package or wolfram alpha for help).

Homework 6, due Tuesday March 12 in class:
19.2, 19.3, 19.4, 19.7

Homework 7, due Thursday March 21 in class:
20.2a,b,c, 20.3, 21.1, 21.5, 22.6, 22.7
*No office hours March 18*
*No office hours Apr 2*

*No class Tuesday Apr 9.*
*No office hours Apr 8*

Homework 8, due Thursday April 11 in class:
23.5, 24.2, 24.3, 25.1, 25.5, 27.2, 27.3
Problem 25.5 solution

Homework 9, due Tuesday April 16 in class:
28.1, 28.4, 28.5, 29.2, 29.6

Homework 10, due Thursday April 25 in class:
31.1, 31.3, 31.4, 32.2, 32.4a

Homework 11, not to be turned in; discussed in review session Tuesday April 30:
34.1,34.2, 37.1, 37.3,37.4,37.15