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

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.

These lecture notes are an excellent introductory-to-intermediate resource for students preparing for senior-level mathematical olympiads. They strike a good balance between rigorous theory and contest-style problem solving, and are especially strong in building problem-solving intuition.

Number theory is the study of integers, divisibility, and prime numbers—a domain rarely taught comprehensively in standard schools:

Most students fall into this gap. They try to brute-force difficult problems using elementary techniques. They strike a good balance between rigorous theory

An introduction to higher number theory. 3. Inequalities

The text includes actual questions from competitions worldwide to build confidence.

: Extensive use of the Law of Sines and Law of Cosines. An introduction to higher number theory

Which (e.g., Inequalities, Number Theory) gives you the most trouble?

When tackling the exercise sets at the end of each lecture, time yourself. This builds the mental stamina required for grueling 4-to-5-hour official examinations. 📥 Finding the PDF and Supplemental Materials

: Each concept is followed by multiple worked examples, ranging from introductory applications to actual past Olympiad questions. specialized insight into competitive-level problem-solving

Solving multi-variable non-linear systems using symmetric properties and substitutions. 2. Number Theory

In addition to using the lecture notes, students may want to consider the following tips to help them prepare for the Mathematical Olympiad: