For a day by day overview of our course see:

Basically, our plan is to work our way through Stillwell's

We decided to tape a few lectures, the evidence is found here:

These are the required homeworks for this course. The problems are mainly taken from Stillwell's text, enjoy.

- Mission 1
- Mission 2
- Mission 3
- Mission 4
- Mission 5
- Mission 6
- Mission 7
- Mission 8
- Mission 9
- Mission 10

I hope to add some resources here as the course continues. We did cover a bit more than is posted here, but, these are a nearly complete account of the content of the Spring 2015 offering of Math 307.

- Lecture 1 (from chapter 1)
- Lecture 2 (from chapter 2)
- Lecture 3 (congruence modulo an integer)
- Lecture 4 (Lagrange's Theorem, Wilson's Theorem, Euler's Theorem; group theoretic arguments in Chapter 3)
- Chinese Remainder Examples (supplementary handout)
- Modular Arithmetic (supplement to add depth to treatment of modular arithmetic)
- Summary of Topics for Test 1
- Lecture 7 (RSA cryptosystems and a cautionary tale on why we should learn more group theory)
- Lecture 8 (from chapter 5, Pell's Equation)
- Lecture 10 (chapter 6, Gaussian Integers)
- Lecture 11 (chapter 6, application of Gaussian integers to two-square theorem)
- Lecture 12 (chapter 7, quadratic integers)
- Lecture 14 (chapter 8, quaternions and the 4-square identity)
- Lecture 15 (chapter 8, Hurwitz integers)
- Lecture 16 (chapter 9, quadratic reciprocity)
- Lecture 19 (chapter 10, rings of algebraic numbers)
- Lecture 21 (chapter 11, ideals)
- Lecture 22 (chapter 11, ideal calculations)
- Lecture 24 (chapter 12, prime and maximal ideal theorems)
- Lecture 25 (chapter 12, conjugate ideals and divisibility as containment)
- the whole course on a page front (thanks to Erica for this)
- the whole course on a page back (thanks to Erica for this)

Beware the errors.

- Test 1 and my Solution to Test 1
- Test 2 and my Solution to Test 2
- Test 3 and my Solution to Test 3

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Last Modified: 8-13-2015