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