If you are a serious high school student aiming for a high level of success in national or international Olympiads, or a teacher preparing such students, this book is an indispensable resource.
The book is based on over 15 years of lecture notes from top-tier Singaporean institutions like Victoria Junior College , Hwa Chong Institution, and Nanyang Girls' High School. Its philosophy is that Olympiad math is about developing flexible, rigorous thinking and the ability to bridge the concrete and the abstract. Key Content and Curriculum
Each chapter is built to be self-contained for effective self-study or classroom use:
This section trains students to think logically about counting and arrangements. Counting Principles (Permutations and Combinations). If you are a serious high school student
Olympiad geometry requires a transition from coordinate calculations to synthetic, proof-based reasoning. Volume 1 introduces:
Counting principles (permutations and combinations), Pigeonhole Principle, Principle of Inclusion-Exclusion, and graph theory basics.
: Every lecture concludes with two sets of practice questions: Key Content and Curriculum Each chapter is built
The biggest frustration for self-studying students is getting stuck on a problem with no teacher to ask. This book’s solutions are not just answers; they are lecture notes . They explain the thought process —why you try a specific substitution or why you consider parity first.
Advanced techniques for integer solutions.
The primary objective of the Mathematical Olympiad course is to equip senior section students with the necessary mathematical knowledge, skills, and problem-solving strategies to excel in the Olympiad competitions. Specifically, the course aims to: Vol. 1) : Unlike standard textbooks
Before you rush to download a PDF, consider this:
Master the Math Olympiad: A Guide to Lecture Notes on Mathematical Olympiad Courses (Senior Section, Vol. 1)
: Unlike standard textbooks, it introduces unconventional, creative techniques that are essential for competition but absent from the regular school syllabus WordPress.com Global Competition Scope
Advanced counting principles beyond basic high school probability.