Final Test Review, due Dec 7

* Which topics and theorems do you think are the most important out of those we have studied?
GCD, Euclidean Algorithm, modular arithmetic, phi function, Chinese Remainder Thrm, Legendre and Jacobi symbols, Mersenne and Fermat primes, Fibonnoci numbers, Fermat's little thrm, golden ratio, dirichlet's thrm, infinitely many primes mod..., Dirichlet characters, Mobius inversion, pi(x), binomial thrm, Riemann zeta function, cryptography and its different algorithms, elliptic curves, and tangents finding a third point.
* What kinds of questions do you expect to see on the exam?
I expect to see questions related to the topics above, some computation, and some proofs using the concept above.
* What do you need to work on understanding better before the exam? Come up with a mathematical question you would like to see answered or a problem you would like to see worked out.
I need to work on understanding things about Dirichlet characters and when to use some of the things we have just learned about elliptic points. In what cases or in what problems to I need to find a third point?

6.3, due Dec 4

1) I had the most trouble understanding the proof of Thrm 6.3.1.

2) This section reminds me a lot of abstract algebra with some linear algebra.