Advanced Math Classes - III (2025-2026)
Online Course Series, Online, 2025
This is the 3rd of my “Advanced Math Classes” series. I am helping Madrik prepare for the wonderful world of Math Olympiads. He is from Guwahati, Assam.
The ones in square brackets are for reading (recommended)
Lec 1.1 Introduction to the Principle of Mathematical Induction - 1 [notes, PMI-NCERT (introductory)]
Lec 1.2 On Summations [notes, Paul’s Book_chap (introductory), Concrete Mathematics Chapter 2 (advanced)]
Lec 1.3 Problem Solving from Hong Kong International Math Olympiad [notes, Recurrence Relations (intro + advanced)]
Lec 1.4 Introduction to the Principle of Mathematical Induction - 2 [notes, Divisibility Results using Induction]
Lec 1.5 Introduction to the Principle of Mathematical Induction - 3 [notes]
Lec 1.6 Introduction to the Principle of Mathematical Induction - 4 [notes]
Lec 1.7 Introduction to the Principle of Mathematical Induction - 5 [notes, Induction and Inequalities]
Lec 1.8 Introduction to Polynomials - 1 [notes, Further Reading]