# Math 4400 - Introduction to Number Theory - Summer 2017

Course text: Numbers, Groups, and Cryptography by Gordan SavinSyllabus

Course notes (rough)

## Notes/Worksheets

InductionFermat'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 solutionsHomework 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 SolutionsQuiz 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