# Cheenta week of Nov. 12

Welcome to yet another week of mind boggling mathematical science.

We will start the week with a brief adventure into **Polynomials. **Personally I found the works of Burnside, Panton or Barbeau particularly useful. Your faculty will tell you his pick.

Later this week we explore ideas from **Duality **(one of the great underlying themes of mathematics). As the week progresses, we will pick up problems from **Chinese Remain Theorem (Number Theory) ** and **Lagrange’s Theorem! **These are powerful ideas which have far reaching consequences in elementary number theory as well as advanced Group Theory. My personal favorite are the books of Sierpinsky and Burton. Again the respective faculty members will have their own favorites.

**Multivariable Calculus **discussions will expose us notions of continuity and differentiability in higher dimension. There is a fantastic website called *mathinsight* which has some wonderful resources related to this.

Finally we will end the week by gluing points into **Real Projective Line. **This is the first geometric intuition of the notion of **Equivalence Relation.**

The above description is just the tip of iceberg. Explore the physics, chemistry and computer science sessions as well.

I am super excited about the festival of mathematics that we will have this week. See you in class!

Ashani Dasgupta

*Passion for Mathematics*

# Monday, November 12

#### Live Lecture Hour

#### Program Description

## Math Olympiad (SI Group)

#### Faculty

#### A.R. Sricharan

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

#### Faculty

#### Devilal

#### Live Lecture Hour

#### Program Description

## Computer Science Olympiad Program

#### Faculty

#### Swarnabja Bhowmick

# Tuesday, November 13

#### 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

#### Faculty

#### Ashani Dasgupta

Research Interest in Geometry Group Theory.

# Wednesday, November 14

#### Live Lecture Hour

#### Program Description

## Math Olympiad (SI Group)

#### Faculty

#### A.R. Sricharan

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

#### Faculty

#### Swarnabja Bhowmick

Cheenta Alumni turned Faculty.

# Thursday, November 15

#### 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

#### Faculty

#### Sourayan Banerjee

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

#### Faculty

#### Dr. Prabir Dasgupta

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

# Friday, November 16

#### 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)

*Chinese remainder theorem*is a theorem which gives a unique solution to simultaneous linear congruences with coprime moduli.

#### Faculty

#### Writabrata Bhattacharya

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., Friday

Problem List for the Week

Books

Other Stuff

#### Program Description

## Intermediate Math Olympiad Program

#### Faculty

#### Sauvik Mondal

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

#### Faculty

#### Subhajit Bhattacharya

Research Interest in Probability Theory. Cheenta Alumni turned Faculty

# Saturday, November 17

#### Live Lecture Hour

#### 10;00 AM – 11:30 AM

*I.S.T., Saturday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Early Bird Math Olympiad (AU Group)

#### Faculty

#### Arnab Dey Sarkar

Integrated BS-MS in Mathematics from IISER Bhopal.

Research Interest: Number Theory

#### Live Lecture Hour

#### 2:30 PM – 4:30 PM

I.S.T., Saturday

Problem List for the Week

Books

Other Stuff

#### Program Description

## Chemistry Olympiad Program

#### Faculty

#### Subhadip Banerjee

#### 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

#### Faculty

#### Sankhadip Chakraborty

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)

#### Faculty

#### Ashani Dasgupta

Research Interest in Geometry Group Theory

#### Live Lecture Hour

#### Program Description

## Intermediate Math Olympiad Program

#### Faculty

#### Sauvik Mondal

Research Interest in Geometric Group Theory. Cheenta Alumni turned Faculty

#### Live Lecture Hour

#### Program Description

## Early Bird Math Olympiad (IN Group)

*Chinese remainder theorem*is a theorem which gives a unique solution to simultaneous linear congruences with coprime moduli.

#### Faculty

#### Writabrata Bhattacharya

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)

#### Faculty

#### Ashani Dasgupta

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

#### Faculty

#### Shalmali Bandyopadhyay

Research Interest: PDE

Cheenta Alumni turned Faculty

# Sunday, November 18

#### 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

#### Faculty

#### Dr. Prabir Dasgupta

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

#### Live Lecture Hour

#### 10;00 AM – 11:30 AM

*I.S.T., Sunday*

Problem List for the Week

Books

Other Stuff

#### Program Description

## Early Bird Math Olympiad (AU Group)

#### Faculty

#### Arnab Dey Sarkar

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)

#### Faculty

#### Utkarsh Tripathi

#### 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)

*transfer*of energy between objects that are in physical contact. Heat transfer is classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation, and transfer of energy by phase changes.

#### Faculty

#### Sankhadip Chakraborty

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)

#### Faculty

#### Ashani Dasgupta

Research Interest in Geometry Group Theory

#### Live Lecture Hour

#### Program Description

## Early Bird Math Olympiad (US Group)

#### Faculty

#### Ashani Dasgupta

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

#### Faculty

#### Kaurag Mukherjee

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

#### Faculty

#### Sourayan Banerjee

Research Interest in Algebraic K-Theory

Cheenta Alumni turned Faculty