Each chapter concludes with a variety of problems ranging from introductory to "International Mathematical Olympiad" (IMO) level.
Many students search for online PDF copies of Lecture Notes on Mathematical Olympiad Courses .
Very suitable for self-study due to its self-contained nature and the inclusion of full solutions. This volume is best suited for advanced high school students math coaches
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) . Each chapter concludes with a variety of problems
Indicial (Exponential) and Logarithmic Functions. Trigonometry :
The second half of the book provides comprehensive, step-by-step solutions for every exercise, teaching students how to properly format mathematical proofs. Who Benefits Most from Volume 1?
Volume 1 of the Senior Section acts as a structured mentor. It provides: This volume is best suited for advanced high
This section trains students to think logically about counting and arrangements. Counting Principles (Permutations and Combinations).
Furthermore, the "Senior Section" designation implies a level of maturity in the reader. The text assumes a strong grasp of foundational concepts and moves quickly into sophisticated territory. Volume 1 specifically lays the groundwork for the more abstract theories found in Volume 2, making it an essential starting point for any serious competitor. It challenges students to move beyond algorithmic thinking and into the realm of proof-based mathematics, where clarity of expression is as important as numerical accuracy.
Techniques for finding integer solutions to polynomial equations. 3. Combinatorics and Counting Who Benefits Most from Volume 1
A typical lecture notes on Mathematical Olympiad courses for senior section Vol 1 PDF may cover the following topics:
Combinatorics: Pigeonhole and Extremal
Given its popularity, the PDF version is available through a few channels:
The exercise sets at the end of each chapter are where the real growth happens. Categorize your progress: : You have mastered the concept. Solved after a struggle : You are building stamina.
: Pair your reading with live timed mock contests from past AMC 12 or AIME exams to test your speed and accuracy.