# Cheenta week of Dec. 17 to 23

“I am interested in mathematics only as a creative art.” – G.H. Hardy

Hello mathematician!

The **Indian National Math Olympiad** is around the corner. Cheenta INMO Camp is in full swing now. There are five sessions every week. From Graph Theory to Geometric transformation, we are experiencing some high-caliber math-magic in our classrooms.

We dream to train an IMO perfect-team one day. There has been only one such team in the history of International Math Olympiad: 1994 US Team. There were a record-breaking six perfect scores that year in Hong Kong that year.

Then there are bigger dreams. We wish to facilitate world-class research in mathematical science in our soil. This is indeed Cheenta’s long-term vision. Recently we launched the **Research-Track program**. It is a unique program for advanced school and college students who wish to pursue research early on.

Many of the Cheenta alumni and faculty members are engaged in world-class research at leading universities around the world. We have students in **Oxford, UIUC, Edinburgh, I.S.I., TIFR, UT Austin, M.I.T.,** to name a few places. More importantly, we make it a point to keep in touch with these bright people over the years. They often advise our existing students, conduct seminars. or teach courses. For example one of our existing students had an interview at Oxford (for B.Sc. program) last week. We could easily create an advising cum mock interview session with the help of our alumni at Oxford.

This growing network of bright alumni spread over several continents is indeed one of Cheenta’s greatest strengths.

Yesterday I read a frightening news. A young girl committed suicide as she was forced to leave school and work at a Biri factory. The reporter wrote, ‘the girl loved to learn. She went into depression when she was forced to leave school due to economic pressure.’

We should all feel responsible for this incident. It is our collective sin.

Cheenta has **Ekalavya Scholarship program**. We give a full tuition waiver to deserving economically challenged students. Not only that, we award a small stipend for other expenses as well.

**Today I urge you** to be an ambassador of Cheenta’s Ekalavya program. if you know even one kid who is talented but limited by resources, help him/her to find Cheenta. Every life counts!

An exciting week lies ahead of us. Here is the timetable:

Cheenta Mains _ December 17 – 23 – Schedule

Regards,

Ashani Dasgupta

Cheenta

Passion for Mathematics

# Monday, December 17

#### Live Lecture Hour

#### 8 PM – 9:30 PM

I.S.T., Monday

Problem List for the Week

Books

Other Stuff

#### Program Description

## Computer Science Olympiad Program

Topic: Graph theoretic & number theoretic algorithms, competitive programming problems

#### Faculty

#### Dr. Prabir Dasgupta

Dr. Dasgupta is a Ph.D. in computer science and enggineering from I.I.T. Kharagpur. He was a senior scientific officer at BARC.

Dr. Dasgupta has multiple publications in reputed journals. His research interest is in cryptography, and automata theory

.

#### Live Lecture Hour

#### 9;30 PM – 11:00 PM

*I.S.T., Monday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## I.S.I. & C.M.I Entrance Program

Topic: Limits of Functions

Description: One of the fundamental concepts in mathematics, meaning that a variable depending on another variable arbitrary closely approaches some constant as the latter variable changes in a definite manner. In the definition of a limit, the concept of nearness of the objects under consideration plays a fundamental role: only after a definition of nearness does a limit acquire an exact meaning.

#### Faculty

#### Kaurag Mukherjee

B.Math from I.S.I Bangalore

Research Interest: Graph Theory

# Tuesday, December 18

#### Live Lecture Hour

#### 7;30 PM – 9:30 PM

*I.S.T., Tuesday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## CHEENTA Z

Topic: Complex Number and Geometry

Description: We will continue the previous topic.

#### Faculty

#### Ashani Dasgupta

Pursuing Ph.D. at University of Wisconsin, Milwaukee, Founding Faculty.

Research Interest in Geometry Group Theory.

# Wednesday, December 19

#### Live Lecture Hour

#### 8:30 PM – 10:30 PM

I.S.T., Wednesday

Problem List for the Week

Books

Other Stuff

#### Program Description

## Bridge Session

Topics: Various problem on Combinatorics

#### Faculty

#### Swarnabja Bhowmick

Pursuing B.Tech in Computer Science from Rajabazar Science College.

Cheenta Alumni turned Faculty.

# Thursday, December 20

#### Live Lecture Hour

#### 8;30 PM – 10:00 PM

*I.S.T., Thursday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## I(N)MO Session

Topic:Number Theory Part 1

#### Faculty

#### Writabrata Bhattacharya

Pursuing B.Sc. Math from C.M.I. Chennai

He was a student of Cheenta. He joined the faculty team after qualifying for C.M.I. Entrance.

#### Live Lecture Hour

#### 9 PM – 10:30 PM

I.S.T., Thursday

Problem List for the Week

Books

Other Stuff

#### Program Description

## Computer Science Olympiad Program

Topic: Graph theoretic & number theoretic algorithms, competitive programming problems

Description: An algorithm is a specific method for solving a problem – generally a mathematical function or procedure.Today *number*–*theoretic algorithms* are used widely, due in part to the invention of cryptographic schemes based on large prime *numbers* .

#### Faculty

#### Dr. Prabir Dasgupta

Dr. Dasgupta is a Ph.D. in computer science and enggineering from I.I.T. Kharagpur. He was a senior scientific officer at BARC.

Dr. Dasgupta has multiple publications in reputed journals. His research interest is in cryptography, and automata theory

# Friday, December 21

#### Live Lecture Hour

#### 8;20 PM – 9:50 PM

*I.S.T., Friday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Early Bird Math Olympiad (IND Group)

Topic: Properties of phi function

Description: In number theory, **Euler’s totient function** counts the positive integers up to a given integer n that are relatively prime to n. It is important to understand the topic like RSA Cryptosystem.

#### Faculty

#### Writabrata Bhattacharya

Pursuing B.Sc. Math from C.M.I. Chennai

He was a student of Cheenta. He joined the faculty team after qualifying for C.M.I. Entrance.

#### Program Description

## I(N)MO Session

Topic: Geometric Inequality

#### Faculty

#### Sauvik Mondal

Pursuing M.Math from I.S.I. Kolkata.

Research Interest in Topology. Cheenta Alumni turned Faculty

#### Live Lecture Hour

#### 9.45 PM – 11:15 PM

I.S.T., Friday

Problem List for the Week

Books

Other Stuff

#### Program Description

## College Mathematics Program

Topics: Test

#### Faculty

#### Subhajit Bhattacharya

Pursuing Ph.D. at TIFR. B.Math from I.S.I. B’lore..

Research Interest in Probability Theory. Cheenta Alumni turned Faculty

#### Live Lecture Hour

#### 9.45 PM – 11:15 PM

I.S.T., Friday

Problem List for the Week

Books

Other Stuff

#### Program Description

## I(N)MO Session

Topics: Introduction

#### Faculty

#### Arnab Dey Sarkar

Mr. Sarkar is pursuing Ph.D. in Mathematics at St. Louis University.

He is a faculty at Cheenta.

His research interest is in Number Theory and Computation Geometry

# Saturday, December 22

#### Live Lecture Hour

#### 8;00 AM – 9:30 AM

*I.S.T., Saturday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Thousand Flowers Program (Pre-Olympiad)

Topic: Shapes and Measures

Description: We will continue with elementary constructions in geometry. Our goal is to understand percentage. This will led us to a fascinating journey in euclidean geometry.

#### Faculty

#### Ashani Dasgupta

Pursuing Ph.D. at University of Wisconsin, Milwaukee, Founding Faculty

Research Interest in Geometry Group Theory

#### Live Lecture Hour

#### Program Description

## Early Bird Math Olympiad (A Group)

Topic: Solving AMOC (Senior) Problem

.

#### Faculty

#### Arnab Dey Sarkar

Pursuing Ph.D. from Saint Louise University, 1 N Grand Blvd, United States in Mathematics.

Integrated BS-MS in Mathematics from IISER Bhopal.

Research Interest: Number Theory

#### Live Lecture Hour

#### 6:00 PM – 7:30 PM

I.S.T., Saturday

Problem List for the Week

Books

Other Stuff

#### Program Description

## I(N)MO Session

Topic: Graph Theory 2

#### Faculty

#### Kaurag Mukherjee

Mr. Mukherjee is a B.Math from Indian Statistical Institute, Bangalore.

He is faculty at Cheenta.

His research interest is in Graph Theory.

#### Live Lecture Hour

#### Program Description

## Thousand Flowers Program (Pre Olympiad)

Topic: Barycentres

Description: Barycentric coordinates can be used to express the position of any point located on the triangle with three scalars. The location of this point includes any position inside the triangle, any position on any of the three edges of the triangles, or any one of the three triangle’s vertices themselves.

#### Faculty

#### Ashani Dasgupta

Mr. Dasgupta is presently pursuing Ph.D. in Mathematics at University of Wisconsin, Milwaukee.

He is the founder-faculty at Cheenta.

His research interest is in Geometric Group Theory.

#### Live Lecture Hour

#### 8;20 PM – 9:50 PM

*I.S.T., Saturday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Early Bird Math Olympiad (IN Group)

Topic: Properties of phi function

Description: In number theory, **Euler’s totient function** counts the positive integers up to a given integer n that are relatively prime to n. It is important to understand the topic like RSA Cryptosystem. .

#### Faculty

#### Writabrata Bhattacharya

Pursuing B.Sc. Math from C.M.I. Chennai

He was a student of Cheenta. He joined the faculty team after qualifying for C.M.I. Entrance.

#### Live Lecture Hour

#### 8:15 PM – 9:45 PM

I.S.T., Saturday

Problem List for the Week

Books

Other Stuff

#### Program Description

## I(N)MO Session

Topic: Pigeon Hole Principal and Ramsey Theory

#### Faculty

#### Arnab Dey Sarkar

Mr. Sarkar is pursuing Ph.D. in Mathematics at St. Louis University.

He is a faculty at Cheenta.

His research interest is in Number Theory and Computation Geometry

#### Live Lecture Hour

#### 9;30 PM – 11:00 PM

*I.S.T., Saturday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Early Bird Math Olympiad (U Group)

Topic: Combinatorics

Description: We will continue the previous topics.

#### Faculty

#### Ashani Dasgupta

Pursuing Ph.D. at University of Wisconsin, Milwaukee, Founding Faculty

Research Interest in Geometry Group Theory

#### Live Lecture Hour

#### 9.45 PM – 11:15 PM

I.S.T., Saturday

Problem List for the Week

Books

Other Stuff

#### Program Description

## College Mathematics Program

Topic: Ring Theory

Description: Polynomial rings.

#### Faculty

#### Arnab De Sarkar

Pursuing Ph.D. from Saint Louise University, 1 N Grand Blvd, United States in Mathematics.

Integrated BS-MS in Mathematics from IISER Bhopal.

Research Interest: Number Theory

# Sunday, December 23

#### Live Lecture Hour

#### 8;00 AM – 9:30 AM

*I.S.T., Sunday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Thousand Flowers Program (Pre-Olympiad)

Topic: Shapes and Measures

Description: We continue with elementary constructions in geometry. Our goal is to understand percentage. This has led us to a fascinating journey in euclidean geometry.

#### Faculty

#### Ashani Dasgupta

Pursuing Ph.D. at University of Wisconsin, Milwaukee, Founding Faculty

Research Interest in Geometry Group Theory

#### Live Lecture Hour

#### Program Description

## Early Bird Math Olympiad (A Group)

Topic: Solving AMOC (Senior) problems

#### Faculty

#### Arnab Dey Sarkar

Pursuing Ph.D. from Saint Louise University, 1 N Grand Blvd, United States in Mathematics.

Integrated BS-MS in Mathematics from IISER Bhopal.

Research Interest: Number Theory

#### Live Lecture Hour

#### Program Description

## Thousand Flowers Program (Pre-Olympiad)

Topic:Barycentres

Description: Barycentric coordinates can be used to express the position of any point located on the triangle with three scalars. The location of this point includes any position inside the triangle, any position on any of the three edges of the triangles, or any one of the three triangle’s vertices themselves.

#### Faculty

#### Ashani Dasgupta

Pursuing Ph.D. at University of Wisconsin, Milwaukee, Founding Faculty

Research Interest in Geometry Group Theory

#### Live Lecture Hour

#### 9:00 PM – 10:30 PM

I.S.T., Sunday

Problem List for the Week

Books

Other Stuff

#### Program Description

## Computer Science Olympiad

Topics: Various problem Solving Strategy

#### Faculty

#### Swarnabja Bhowmick

Pursuing B.Tech in Computer Science from Rajabazar Science College.

Cheenta Alumni turned Faculty.

#### Live Lecture Hour

#### 9;30 PM – 11:00 PM

*I.S.T., Sunday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Early Bird Math Olympiad (U Group)

Topic: Combinatorics.

Description: We will continue the previous topic.

#### Faculty

#### Ashani Dasgupta

Pursuing Ph.D. at University of Wisconsin, Milwaukee, Founding Faculty

Research Interest in Geometry Group Theory

#### Live Lecture Hour

#### 9;30 PM – 11:00 PM

*I.S.T., Sunday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## I.S.I. & C.M.I Entrance Program

Topic: Limit of a Function

Description: One of the fundamental concepts in mathematics, meaning that a variable depending on another variable arbitrary closely approaches some constant as the latter variable changes in a definite manner. In the definition of a limit, the concept of nearness of the objects under consideration plays a fundamental role: only after a definition of nearness does a limit acquire an exact meaning..

#### Faculty

#### Kaurag Mukherjee

B.Math from I.S.I Bangalore

Research Interest: Graph Theory

#### Live Lecture Hour

#### 9;45 PM – 11:15 PM

*I.S.T., Sunday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## College Mathematics Programe

Topic: Problem Solving Session

#### Faculty

#### Sourayan Banerjee

Pursuing Ph.D. at IISER-B.

Research Interest in Algebraic K Theory.

Cheenta Alumni turned Faculty