Introduction to Number Theory
One-semester course. How do we use integers? Are there limits to how they can be used? This course will be a challenging introduction to number theory, a look at how integers work, how they can work together, and what patterns we can create. We will cover primes and composites, base numbers, modular arithmetic, linear congruences, special numbers such as palindromes, and much more. This course, similar to other AoPS courses, emphasizes learning how to solve difficult problems. Students are allowed, and encouraged, to attempt problems multiple times until they master the concept.