Handouts

Handouts/notes/articles that I have compiled and I can share publicly:-

(Update 04-11-23: This page has hit over 5k views!)

Polynomials- pdf

A comprehensive introduction to Polynomials in Math Olympiad problems.

INMO Notes- pdf

Notes and recommendations compiled for INMO 2020 aspirants. (please ignore.)

Chip Firing Games-pdf

An intro to chip firing games and exploring various derivatives of the game.

Chip Firing Presentation-pdf

A brief introductory presentation on the above topic presented at VMBL(Virtual version of Maths Beyond Limits camp) 2020.

INMOTCs 2022-23

A few problem sets I compiled for lectures taken in Delhi and Mumbai INMO Training camps for INMO 2023.

Geometry Problem Set - pdf

A slightly longish problem set covering various topics in geometry. 

NT Problem Set - pdf

An INMO level number theory problem set with very little theory. 

Algebra vs. Combinatorics - handout class notes

Solving some Algebra problems with combinatorial ideas. 

Unofficial IMOTC 2020

A few handouts I wrote for a student conducted version of IMOTC 2020.
(I wouldn't recommend using any of these, much better notes exist but just putting these up here for record and completeness.)


Spiral Similarity- pdf

A brief intro to spiral similarity in harder geometry problems.

Inversion- pdf

Introducing the technique of inversion to solve various geometry problems.

Projective Geometry- pdf

An intro to various ideas in projective geometry written with Arindam Bhattacharya, starting from basics and going up to nukes like DDIT(Dual Desargues Involution Theorem).

Hyperbola- pdf

An intro to circum-rectangular hyperbolas and some interesting properties they show. Not completely olympiad related, more of fun.

Combo Null- pdf

A brief introductory article on Alon's Combinatorial Nullstellensatz.

Circumcircle-Excircle configuration- pdf

An intro to the very configuration when circumcircles and excircles appear together. Shown to me by Pranjal Srivastava.


Miscellaneous Problem Collections/Handouts

P.S. Some odd problems in every handout don't match the topic name given and are just there because I want people to try them.
(A lot of these might be too hard and I wouldn't recommend them for introductory students, I will rearrange it in some time.)

Angel Chasing- pdf 

Problem Collection on Angle Chasing Problems

Inequalities- pdf 

Problem Collection on Inequalities.

Combinatorics- pdf 

Problem Collection on Combinatorics without sources or difficulty ordering.

FE- pdf 

Problem Collection on Functional Equations.

Number Theory- pdf 

Problem Collection on various number theory problems

NT Construct- pdf 

Short lecture notes followed by long problem collection. 
P.S. Non zero of these have nothing to do with NT or Construct but I just drop in an odd problem here and there that I like and I just want people to try.

Size in NT- pdf 

Problem Collection on NT involving size and analytic ideas.

Arrows- pdf 

Problem Collection on problems involving iterated functions, permutations  and other ideas of similar flavour.

Homography- pdf 

Problem Collection on Homography and Projective Transformations.

I will try to keep updating this as I write more handouts. I hope they are helpful.


CAMP 2021

Notes and handouts made in CAMP 2021- Drive link


IMO Sheets- pdf

My IMO 2021 sheets

Comments

  1. Bhaiya the handouts are really awesome and are of great help for my INMO preparation. Thanks a lot and hope to see more interesting handouts soon!!

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