Number Theory Fundamentals for NTSE and NSEJS Math Prep

Preparing for competitive math exams like NTSE or NSEJS requires a deep, intuitive understanding of how numbers behave. This text-based course guides you from the absolute basics of number theory to the elegant problem-solving techniques needed to tackle challenging exam questions. What you will learn: - Understand foundational concepts including prime factorization, divisibility rules, and properties of integers. - Master modular arithmetic and apply it to solve complex remainder problems. - Apply key theorems such as Fermat's Little Theorem and the Chinese Remainder Theorem to exam-style questions. - Solve Diophantine equations and find integer solutions systematically. - Practice logical reasoning and step-by-step mathematical proofs. You will start with core definitions and basic properties of numbers before progressing to advanced modular techniques and exam-style problem-solving strategies. Designed for beginners preparing for junior math olympiads and competitive exams, this course requires only a basic background in school algebra. Start reading today to build a powerful mathematical foundation.