Lecture notes, assignments, and other materials for a one-semester introductory course on topics in number theory, modular arithmetic, abstract algebra, and computer science applications thereof.

Dealing with rounding As noted in the introduction, rounding can be rephrased as a problem in modular arithmetic. Using the example of rounding to the nearest hundred, it can be written like this: ...

You may never have heard of modular arithmetic, but you use it every day without the slightest difficulty. In this system, numbers wrap around when they reach a certain size called the modulus; it ...

This file documents the solution to a problem involving Shamir's Three-Pass Protocol, a public-key message exchange system. In this protocol, Alice and Bob use modular arithmetic to securely exchange ...

Topic will include: introduction to cryptography (the science of sharing secrets) elementary number theory and modular arithmetic (the mathematics behind encryption/decryption) introduction to ...