# Cheenta week of Nov. 26 to Dec. 02

Every week we have a festival of beautiful mathematics, brain-boggling problems, and ecstatic ideas. Find out what is coming up this week.

Hello mathematician!

Tagore believed that education should happen in the lap of nature and community. Nevertheless, we are pushed every day toward mind-numbing competition and isolated discourse.

At Cheenta, we wish to defy all odds and ourselves to a happy and curious learning experience. We must let our imagination flower beyond usual domains of rote-learning.

This week, we have a beautiful festival of mathematics. From **complex numbers **to **duality, **from **diophantine equations **to **stirling numbers, **we are just getting started.

Keep your mind free from boring thoughts of ‘competition’. Innovation and creativity

Ashani Dasgupta

*Passion for Mathematics*

# Monday, November 26

#### Live Lecture Hour

#### Program Description

## Math Olympiad (SI Group)

Topic: Polynomial and Exponents

Description: We continue our study of polynomials by introducing complex numbers. Now that we have seen sufficient algebraic motivation to introduce such numbers, we will look at properties of the first set of complex numbers.

#### Faculty

#### A.R. Sricharan

Pursuing B.Sc. in Mathematics and Computer Science from Chennai Mathematical Institute.

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

#### Live Lecture Hour

#### 7:15 PM – 9:15 PM

I.S.T., Monday

Problem List for the Week

Books

Other Stuff

#### Program Description

## Chemistry Olympiad Program

Topic:Past Years Papers Discussion

#### Faculty

#### Devilal

M.Sc. from I.I.T. Delhi (in Chemistry).

#### 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, November 27

#### Live Lecture Hour

#### 8;30 PM – 9:30 PM

*I.S.T., Tuesday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## CHEENTA Z

Topic: From Lines to Points

Description: We continue with our adventures in Duality. After briefly examining how vector spaces are turned into duaal spaces. We explore how lines and points are interchangeable in some sense.

#### Faculty

#### Ashani Dasgupta

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

Research Interest in Geometry Group Theory.

# Wednesday, November 28

#### Live Lecture Hour

#### Program Description

## Math Olympiad (SI Group)

Topic: Polynomial and Exponents

Description: We continue our study of polynomials by introducing complex numbers. Now that we have seen sufficient algebraic motivation to introduce such numbers, we will look at properties of the first set of complex numbers .

#### Faculty

#### A.R. Sricharan

Pursuing B.Sc. in Mathematics and Computer Science from Chennai Mathematical Institute.

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

#### 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, November 29

#### Live Lecture Hour

#### 8;30 PM – 10:30 PM

*I.S.T., Thursday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Bridge Session

Topic: Conic Section

#### Faculty

#### Sourayan Banerjee

Pursuing Ph.D. from IISER Bhopal.

Research Interest in Algebraic K-Theory. Cheenta Alumni turned Faculty.

#### 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, November 30

#### 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)

Test on Number Theory

#### 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

#### Program Description

## Intermediate Math Olympiad Program

Topic: Diophantine Equation and Quadratic Integer

Description: The solutions of the Pell’s equation *which is* a Diophantine equation that has been widely studied, are the units of these rings we will use method of quadratic integers to solve diophantine equation.

#### Faculty

#### Sauvik Mondal

Pursuing B.Math from I.S.I. Bangalore.

Research Interest in Geometric Group 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

## College Mathematics Program

Topics: Multivariable Differentiability

Description: We will continue the idea of differentiation in R^n

#### 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

# Saturday, December 01

#### 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: Shape and Measure

Description: We will use basic tools of Euclidean geometry to compare pieces ( smaller and larger )to a standard one. We will apply geogebra to render those constructions. Finally we will use a short python code to aid our understanding of the arithmatic of this division.

#### 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 (AU Group)

Topic: Permutation with repeatation

Description: Problems of this form are quite common in practice; for instance, it may be desirable to find orderings of boys and girls, students of different grades, or cars of certain colors, without a need to distinguish between students of the same grade (or cars of the same color, or people of the same gender).

#### 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

## Chemistry Olympiad Program

Topic: Chemical Bonding

Description: A chemical bond is a lasting attraction between atoms, ions or molecules that enables the formation of chemical compounds. The bond may result from the electrostatic force of attraction between oppositely charged ions as in ionic bonds or through the sharing of electrons as in covalent bonds..

#### Faculty

#### Subhadip Banerjee

Pursuing integrated MS in Chmeistry from IISER Bhopal.

#### Live Lecture Hour

#### 6:00 PM – 8:00 PM

I.S.T., Saturday

Problem List for the Week

Books

Other Stuff

#### Program Description

## Mathematics Doubt Clearing Session

Make sure to post your doubts in www.cheenta.com/support

#### Faculty

#### Sankhadip Chakraborty

Pursuing Ph.D. from IMPA Brazil

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

INMO Awardee

#### Live Lecture Hour

#### 8;00 PM – 9:30 PM

*I.S.T., Saturday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Thousand Flowers Program (Pre-Olympiad)

Topic: Stretch and Glue

Description: Dot diagrams are beautiful method of examining partitions and partitions lead to equivalence relations in a natural way. We examine both of these ideas.

#### Faculty

#### Ashani Dasgupta

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

Research Interest in Geometry Group Theory

#### Live Lecture Hour

#### Program Description

## Intermediate Math Olympiad Program

Topic: Diophantine Equation and Quadratic Integer

Description: The solutions of the Pell’s equation *which is* a Diophantine equation that has been widely studied, are the units of these rings we will use method of quadratic integers to solve diophantine equation.

#### Faculty

#### Sauvik Mondal

Pursuing B.Math from I.S.I. Bangalore.

Research Interest in Geometric Group Theory. Cheenta Alumni turned Faculty

#### 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: Willson’s Theorem

Description: Wilson’s theorem is both necessary and sufficient for primality

#### 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

#### Program Description

## Early Bird Math Olympiad (US Group)

Topic: Combinatorics 1

Description: We wrap up the recursions that describe Stirling numbers of first and second time. Add to that, discussions from AMC and AIME problem.

#### 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: In algebra, ring theory is the study of rings—algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers.

#### 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 02

#### Live Lecture Hour

#### 8:00 AM – 9:30 AM

I.S.T., Sunday

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 engineering 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

#### 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: Shape and Measures

Description: We will use basic tools of Euclidean geometry to compare pieces ( smaller and larger )to a standard one. We will apply geogebra to render those constructions. Finally we will use a short python code to aid our understanding of the arithmatic of this division.

#### 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 (AU Group)

Topic: Permutation with Repetation

Descritiption :Problems of this form are quite common in practice; for instance, it may be desirable to find orderings of boys and girls, students of different grades, or cars of certain colors, without a need to distinguish between students of the same grade (or cars of the same color, or people of the same gender)

#### 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

#### 1;00 PM – 3:00 PM

*I.S.T., Sunday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Physics Olympiad Program (AU)

Topic: Discussion on Electrostatics

#### Faculty

#### Utkarsh Tripathi

Pursuing Integrated MS in Physics from IISER Bhopal

#### Live Lecture Hour

#### 7;00 PM – 9:00 PM

*I.S.T., Sunday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Physics Olympiad Program (IND/US)

Topic: Kinetic Theory of Gases

Description: The kinetic theory of gases describes a gas as a large number of submicroscopic particles, all of which are in constant, rapid, random motion..

#### Faculty

#### Sankhadip Chakraborty

Pursuing Ph.D. from IMPA Brazil

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

INMO Awardee

#### Live Lecture Hour

#### 8;00 PM – 9:30 PM

*I.S.T., Sunday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Thousand Flowers Program (Pre-Olympiad)

Topic: Stretch and Glue

Description: Dot diagrams are beautiful method of examining partitions and partitions lead to equivalence relations in a natural way. We examine both of these ideas.

#### 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 (US Group)

Topic: Combinatorics 1

Description: We wrap up the recursions that describe Stirling numbers of first and second time. Add to that, discussions from AMC and AIME problem.

#### 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 on TIFR 2018

#### Faculty

#### Sourayan Banerjee

Pursuing Ph.D. at IISER-B.

Research Interest in Algebraic K Theory.

Cheenta Alumni turned Faculty