Intermediate Number Theory

The course "Intermediate Number Theory" delves into advanced topics in number theory, building upon fundamentals from an introductory course. Over 12 weeks, it covers algebraic techniques, multiplicative functions, Diophantine equations, modular arithmetic, and key theorems like Fermat's and Euler's. The first half emphasizes problem-solving, while the second half develops theory to reach an introductory Olympiad level. The course includes a syllabus and diagnostic tools to assess readiness.