Advanced Math Classes - I (2023-2024)
Online Course Series, Online, 2023
This is the 1st of my “Advanced Math Classes” series where I teach and mentor advanced mathematics to high school children. I had the priviledge of teaching Pranmoyee Saikia and Darshraj.
- Lec 1.1_ Introduction to the principle of mathematical induction
- Lec 1.2_ Some Problems In the principle of Mathematical induction
- Darshraj’s_Mathematical Induction_sols_1.1-1.2
- Pranmoyee’s_Mathematical Induction_sols_1.1-1.2
- Lec 1.3 – Polynomials
- Pranmoyee’s_Polynomial_probs&sols 1.3
- Lec 1.4 – Practise Class
- Lec 1.5.1 – Polynomials/ Roots of Unity (part 1)
- Lec 1.5.2 – Polynomials/ Roots of Unity (part 2)
- Lec 1.6 – Problem Solving (Polynomials)
- Lec 1.7 – Introduction to Combinatorics
- Lec 1.8 – Combinatorics/ Binomial_Theorem
- Lec 1.9 – Combinatorics / Dearrangements and the Exclusion-Inclusion principle
- Pranmoyee’s solution on a problem on binomial theorem
- Lec 1.10 – Combinatorics / More on Dearrangements
- Lec 1.11 – Combinatorics / Intro to Generating Functions
- Lec 1.12 – Combinatorics / Fibonacci Numbers and G.F.
- Darshraj’s soln on a problem on Fibonacci numbers
- Pranmoyee’s soln on a problem on Fibonacci numbers
- Lec 1.13 – Introduction to Graph Theory
- Lec 1.14 – Graph Theory – Trees
- Lec 1.15 – Graph Theory – Planar Graphs