Course: MA 341, Number Theory
Instructor: Jared Weinstein
Lectures: MWF 2:30 pm - 3:20 pm in MCS B23
Discussion: W 4:40 pm - 5:30 pm in CAS B25A
Office Hours: Th 2:00 pm - 3:00 pm in MCS 227

Course Overview

This course is about number theory, the study of the whole numbers and their properties. Number theory is one of the oldest branches of mathematics, but it has powerful modern applications in cryptography. Topics will include primes, congruences, primitive roots, finite fields, and the law of quadratic reciprocity.

Text

Childs, Lindsay N. A Concrete Introduction to Higher Algebra, 3rd ed., Springer.

Resources relevant to this course can be found here.

Assignments and Exams

I will be assigning problem sets every week which will usually be due on Fridays. You are allowed and encouraged to work together on homework assignments, but you must hand in solutions which are written in your own words. Select problems from each problem set will be graded and returned to you the following week.

The midterm is due Friday, March 25. You are not allowed to work together on the midterm.

The final is due on Friday, May 5.

HW Assignment Due
#1 § 1: 1,2,3 § 2: 3, 8, 20, 23, 26, 32 Jan. 27
#2 § 3: 3, 4, 23, 25, 33, 37, 39(i), 48, 55, 65 Feb. 3
#3 § 3: 57. § 4: 1, 2, 3, 4, 13, 14(i), 17, 18 Feb. 10
#4 § 5: 6, 12, 13, 14, 16(ii), 39, 42, 50, 51. § 6: 22, 23, 24. Feb. 17
#5 § 9: 1, 2, 4, 8, 9, 19, 21, 31, 32, 58, 60. Feb. 24
#6 § 9: 63, 65, 69, 78, 84(i). § 10: 5, 10. Mar. 3
#7 § 12: 1, 2, 16, 29, 33(i), 43, 48. Mar. 17
#8 § 19: 1, 2(iii), 25, 26, 31, 39. § 21: 5, 6, 12, 13. Mar. 31
#9 HW 9 Apr. 7
#10 HW 10 Apr. 14
#11 HW 11 Apr. 21
#12 HW 12 Apr. 28