Lecture Notes On Mathematical Olympiad Courses For Senior Section Vol 1 Pdf Link Jun 2026

For students competing in high-level mathematics competitions, such as the International Mathematical Olympiad (IMO) or national-level senior olympiads, foundational knowledge is not enough. Success requires deep, specialized insight into competitive-level problem-solving, structured training, and exposure to elegant mathematical proofs.

Every serious mathematical olympiad competitor reaches a point where simple textbooks no longer cut it. You’ve mastered the basics of algebra, you know your geometry theorems, and you can handle a calculus problem. But when you look at a problem from the IMO Shortlist or a National Olympiad, the path forward vanishes.

You don’t read this book. You grind it. Each chapter begins with a concise theory recap, followed by worked examples, and ends with a “Scoring Exercise” set. The PDF format allows you to keep a digital window open for scratch work or printing specific problem sets.

For years, one specific title has circulated among top-tier competitors like a whispered secret. It isn't always flashy, but it is dense with high-level insight. Today, we are diving into —why it matters, what’s inside, and how it can transform your problem-solving skills. You’ve mastered the basics of algebra, you know

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:

The Mathematical Olympiad is not just a competition; it is a rigorous journey into the depths of logical reasoning and creative problem-solving. For students aiming for the senior section—typically high schoolers eyeing national or international stages—the right resources are the difference between a bronze medal and a gold. One of the most sought-after resources in this domain is the "Lecture Notes on Mathematical Olympiad Courses for Senior Section Vol 1."

: Designed to reinforce the specific techniques introduced in the lecture. You grind it

There are many math books available today. This series remains a favorite for several key reasons:

This series has been reviewed by the Mathematical Association of America (MAA), which noted its similarities to Arthur Engel's classic Problem-Solving Strategies . The review highlighted that Xu's explanations are more concise and focused, with fewer problems having multiple solutions. However, the reviewer compensated for this brevity by appreciating the careful selection of List A problems, which are tightly correlated with the solved examples. The reviewer praised the book's utility for both Olympiad coaches and individual students, finding only one minor typo and even admitting that the book's solution was often superior to their own.

Solving multiple tricky equations at the same time. 3. Combinatorics : Properties of circles

This textbook is part of a two-volume series geared towards senior high school students (grades 10-12) who have already mastered basic mathematics and are preparing for advanced competitions. It is structured around the four core pillars of mathematics Olympiads: Number Theory Combinatorics Geometry

The book is structured into 15 distinct "lectures," each acting as a focused chapter on a specific mathematical theme.

The problem sets are curated to build skills progressively. Do not get discouraged if a problem takes hours; this is part of the training.

: Properties of circles, cyclic polygons, power of a point, and the five centers of a triangle. Where to Find it