Intermediate Number Theory
This course studies advanced modular arithmetic, orders, Diophantine equations, valuations, divisibility structures, and olympiad-style number theory. Students learn to reason about integers with precision and flexibility.
Track
Intermediate Courses
Level
Intermediate
Duration
To be updated
Course Overview
This course studies advanced modular arithmetic, orders, Diophantine equations, valuations, divisibility structures, and olympiad-style number theory. Students learn to reason about integers with precision and flexibility.
Who This Course Is For
This course is for students who already know divisibility, remainders, modular arithmetic, and basic Diophantine thinking, and are ready for deeper integer problem solving.
Topics Covered
- Modular arithmetic
- Orders modulo n
- Diophantine equations
- Valuations
- Divisibility structures
- Prime factorization strategies
- Congruence classes
- Olympiad-style number theory
Learning Outcome
Students learn to combine modular, divisibility, valuation, and equation-based arguments in problems where direct computation is not enough.