Lecture Notes On Mathematical Olympiad Courses For Senior Section Vol 1 Pdf New!

One of the most highly recommended resources for bridging the gap between school curriculum and competition math is the book by Xu Jiagu.

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

Owning the PDF is not enough. Most students download it, solve three problems, and quit. Here is a proven study protocol: One of the most highly recommended resources for

The primary goal of Volume 1 is to transition students from standard textbook calculations to creative, analytical proof-making. It does this by dividing complex topics into digestible lectures, each accompanied by detailed core concepts, worked examples, and challenging exercises. Core Curriculum and Key Topics

: Mastering Cauchy-Schwarz, AM-GM (Arithmetic Mean-Geometric Mean), and rearrangement inequalities to prove complex mathematical bounds. 2. Number Theory Fundamentals Key Content and Curriculum Owning the PDF is not enough

Trigonometric Functions, Laws of Sines and Cosines, and Manipulation of Trigonometric Expressions. Lecture 9: Extreme Value Problems in Trigonometry. Inequalities & Functions : Lecture 8: Extreme Values of Functions and Mean Inequality. Circle Geometry :

: The competition questions are sourced from various countries, including China, Russia, the United States, and Singapore, offering students a diverse range of problem styles. It does this by dividing complex topics into

You don’t need more calculations; you need a shift in perspective.

: Finding integer solutions to polynomial equations.

: Important theorems in geometry and the "Five Centers of a Triangle". Key Features for Students

: Advanced students seeking deep, self-paced mathematical enrichment. 🗝️ Key Mathematical Domains Covered