Volume 1 focuses heavily on foundational algebra, functions, and trigonometry. Notable chapters include:
The "Lecture Notes on Mathematical Olympiad Courses for Senior Section Vol 1 PDF" offers several benefits to students:
It is recommended that
To complement your reading, pair this book with resources from the online community, past papers from the American Invitational Mathematics Examination (AIME) , and the British Mathematical Olympiad (BMO) .
Olympiad mathematics differs significantly from classroom mathematics. Instead of focusing on standard procedures, it emphasizes creative problem-solving, rigorous logical reasoning, and the ability to apply fundamental concepts to complex, unseen scenarios. Volume 1 focuses heavily on foundational algebra, functions,
When reviewing the example problems, cover the solution first. Give yourself at least 15–30 minutes to solve it independently before looking at the author's approach.
Don't just read the solutions; attempt the problems first. The value is in the struggle and the subsequent understanding of the technique provided in the notes. Instead of focusing on standard procedures, it emphasizes
Law of Sines and Cosines, manipulation of trigonometric expressions, and trigonometric extreme value problems. Euclidean Geometry:
Before reading the provided solution to an example problem, cover it up and spend at least 20 to 30 minutes trying to solve it yourself. Don't just read the solutions; attempt the problems first
The book is structured into 15 specific "lectures," each focusing on a fundamental pillar of Olympiad-level mathematics. The first volume primarily covers advanced algebra and plane geometry Google Books Lecture Topics (Algebra) Lecture Topics (Geometry) Fractional and Higher Degree Polynomial Equations Fundamental Properties of Circles Irrational Equations Relation of Line and Circle World Scientific Publishing Indicial and Logarithmic Functions Cyclic Polygons Manipulations of Trigonometric Expressions World Scientific Publishing Power of a Point with Respect to a Circle Extreme Values and Mean Inequality World Scientific Publishing Five Centers of a Triangle Law of Sines and Law of Cosines Important Theorems in Geometry World Scientific Publishing Key Educational Features Singapore-Based Pedagogy
Remainder theorem, factor theorem, and Vieta's formulas for higher-degree equations.