Daniel Smolkin

Math 4400 - Introduction to Number Theory - Summer 2017

Course text: Numbers, Groups, and Cryptography by Gordan Savin
Syllabus

Notes/Worksheets

Induction
Fermat's little theorem from "A Friendly Introduction to Number Theory" by Joe Silverman.
Chinese Remainder Theorem from "A Friendly Introduction to Number Theory" by Joe Silverman.
Dihedral group worksheet
Midterm 1 study guide
Injections, Surjections, and Bijections
Polynomial Rings/Homomorphisms and Isomorphisms (Notes from 6/28/17)
Midterm 2 study guide
Proof of the quadratic reciprocity law
Final exam guide
Fermat's Last theorem documentary (very inspirational!)

Homework

Homework 0. Homework 0 solutions
Homework 1. Homework 1 solutions
Homework 2. Homework 2 solutions
Homework 3. (Hints) Due date pushed back to Wednesday, June 7. Homework 3 solutions
Homework 4. Homework 4 solutions
Homework 5. Homework 5 solutions
Homework 6. Homework 6 solutions
Homework 7. Homework 7 solutions
Homework 8. Homework 8 solutions

Quizzes/Exams

Quiz 1. Quiz 1 Solutions
Quiz 2. Quiz 2 Solutions
Quiz 3. Quiz 3 Solutions
Midterm 1 solutions, and common mistakes
Quiz 4. Quiz 4 Solutions
Quiz 5. Quiz 5 Solutions
Midterm 2 solutions, along with problem 4 solutions Quiz 6. Quiz 6 Solutions
Final exam solutions