How to prepare for Number Theory at Math Competitions and the International Math Olympiad?

Course Overview

How can this course benefit you and your career goals? This course can benefit students and their career goals by providing them with the necessary knowledge and skills to prepare for number theory at math competitions and the International Math Olympiad. The course will provide students with the necessary tools to understand the concepts of number theory and how to apply them to solve problems. Additionally, the course will provide students with the opportunity to practice and hone their problem-solving skills, which will be invaluable in their future math competitions and the International Math Olympiad. What skills and knowledge will you acquire during this course? Through this course, students will acquire the skills and knowledge necessary to prepare for number theory at math competitions and the International Math Olympiad. Specifically, students will learn the topics covered in two books: "Olympiad Number Theory Through Challenging Problems" by Justin Stevens and "104 Number Theory Problems" by Titu Andreescu, Dorin Andrica, Zuming Feng. These topics include divisibility, remainders and modular arithmetic, fundamental theory of arithmetic, primes, Euclidean algorithm, residues, quadratic residues, Euler's totient function, Fermat's little theorem, bounding and squeezing, Chinese remainder theorem, multiplicative inverse, greatest common denominator, and least common multiple.