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The truly gifted students require outstanding academic programs to match their talent and hard work. We offer three such programs for school and college students who have above average interest in mathematical science.

Since 2010, our students have performed brilliantly in Math Olympiads. Many succeeded in entrances of I.S.I. & C.M.I. (India) and other challenging math contests.

If you find the school (or college) mathematics too easy and yearn for a greater challenge, you have come to the right place. Welcome!

Math Olympiad Program

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Introduction

Math Olympiad is the greatest and most challenging academic contest for school students. Brilliant school students from over 100 countries participate in it every year.

Cheenta works with small groups of gifted students through an intense training program. It is a deeply personalized journey toward intellectual prowess and technical sophistication.

Curriculum

Math Olympiad curriculum comprises of four broad topics:

Geometry

Number Theory

Combinatorics

Algebra

The problems require a deep understanding of fundamental concepts as well as advanced problem-solving skills.

Eligibility

In India, there are 3 or 4 levels of math olympiad. Students of 8th through 11th grade may participate.

Pre-Regional Math Olympiad

an objective type screening test, usually conducted in September

Regional Math Olympiad

a broad answer type test usually conducted in October to December

National Math Olympiad

a broad answer type test usually conducted in January or February

Training Camp and International Math Olympiad

in the month of May through June

Format

The broad answer tests are usually 3 to 4 hours long. Each consisting of 6 questions that require written responses.

Here are papers from recent olympiads.

Apply

Admission to Cheenta Math Olympiad Program is highly selective. It consists of an online interview and a test.

Student of sixth grade onward may apply (advanced students of lower classes are also encouraged to apply).

E Mail us at [email protected] to schedule an interview. Send us your phone number and skype id during application.

Here is a sample lecture:

Now carefully fill in this form.

Continue reading “Math Olympiad Program”

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

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Introduction

** New: I.S.I. 2017 Subjective Paper (with some discussions)

Indian Statistical Institute and Chennai Mathematical Institute offer challenging bachelor’s program for gifted students. These courses are:

B.Stat and B.Math program in I.S.I.

B.Sc. Math in C.M.I.

The entrances to these programs are far more challenging than usual engineering entrances. Cheenta offers an intense, problem-driven program for these two entrances.

Curriculum

Curriculum

I.S.I. & C.M.I. Entrance curriculum comprises of two broad sections:

High school math

Olympiad styled math

The problems are non-standard in nature. They may not require complicated formulae but they definitely demand sophisticated problem-solving skills.

High School Math, of course, includes topics from Trigonometry, Coordinate Geometry, Calculus, and Algebra.

Apart from that, the candidates are expected to have skills in number theory, euclidean geometry, and combinatorics.

Eligibility

Both the I.S.I.  & C.M.I Entrance is conducted in the month of May. High School students (after class 12) may apply. There is no age-restriction.

There is a written test (comprising of objective and broad answer type problems). It is followed by an interview.

Students who are successful in Indian National Math Olympiad are directly eligible for the interview.

Format

I.S.I. B.Stat and B.Math Entrance: The objective test consists of 30 multiple choice problems. Duration is 2 hours. The subjective test consists of 10 problems to be attempted in (another) 2 hours.

Typically 20 out of 30 correct objective attempts and 5 to 6 out of 10 correct subjective answers are required to get qualified for the interview (this varies from year to year).

C.M.I. Entrance is of 3-hour duration consisting of both subjective and multiple choice problems. The format of questions and cut-off score varies from year to year.

In both entrances, the successful candidates of the written tests are required to appear for an interview.

Apply

Admission to Cheenta I.S.I. & C.M.I. Entrance Program is highly selective. It consists of an online interview and a test.

Student of 11th grade onward may apply. Students who have graduated from high school may also apply. The only requirement is that: the candidate must have pure mathematics as a subject in high school. Age no bar.

E Mail us at [email protected] to schedule an interview. Send us your phone number and skype id during application.

Here is a sample lecture:


Library

Course Repository

Visit the course repository page for some additional resources: here.

Now carefully fill in this form.


Course Work

Number Theory I

This is the first course in elementary number theory:

NT.I.1 Primes, Divisibility

NT.I.2 Arithmetic of Remainders

NT.I.3 Bezout’s Theorem and Euclidean Algorithm

NT.I.4 Theory of congruence

NT.I.5 Number Theoretic Functions

NT.I.6 Theorems of Fermat, Euler, and Wilson

NT.I.7 Pythagorean Triples

NT.I.8 Chinese Remainder Theorem

Combinatorics I

This is the first course in combinatorics and elementary counting techniques:

Com.I.1 Multiplication and Addition rules

Com.I.2 Bijection Principles

Com.I.3 Combinatorial Coefficients

Com.I.4 Inclusion and Exclusion Principles

Com.I.5 Pigeon Hole Principle

Com.I.6 Recursions

Com.I.7 Shortest Route Problems

Algebra I

This is a first course is school algebra. (We assume that the student is familiar with algebraic expressions, and elementary algebraic identities)

Alg.I.1 Algebraic identities (Sophie Germain, Cube of three etc.)

Alg.I.2 Mathematical Induction

Alg.I.3 Binomial Theorem

Alg.I.4 Linear Equations

Alg.I.5 Quadratic Equation

Alg.I.6 Remainder Theorem

Alg.I.7 Theorems related to roots of an integer polynomial

Geometry I

Geo.I.1 Locus visualization

Geo.I.2 Straight Lines

Geo.I.3 Triangles

Geo.I.4 Geometric Constructions

Geo.I.5 Circles

Trigonometry I

Trig.I.1 Angle and rotation

Trig.I.2 Half arcs and Half chords – Genesis of trigonometric ratios

Trig.I.3 Elementary ratios and associated angles

Trig.I.4 Trigonometric identities

Trig.I.5 Geometry and trigonometry

Trig.I.6 Basic properties of Triangles

Trig.I.7 Compound Angles

Trig.I.8 Multiple and Submultiple Angles

Trig.I.9 Trigonometric Series

Trig.I.10 Height and Distance

Inequality I

This first course in inequality must be preceded by a basic course in algebra.

Ineq.I.1 Geometric Inequalities

Ineq.I.2 Arithmetic and Geometric Mean Inequality

Ineq.I.3 Cauchy Schwarze Inequality

Ineq.I.4 Titu’s Lemma

Complex Number I

Complex.I.1 Geometry of Screw Similarity

Complex.I.2 Field Properties of Complex Number

Complex.I.3 nth roots of unity and Primitive roots

Complex.I.4 Basic applications to geometry

Calculus I

Calc.I.1 Sequences and Series

Calc.I.2 Limit

Calc.I.3 Functions

Calc.I.4 Continuity

Calc.I.5 Differential Calculus

Calc.I.6 Cauchy’s Theorem and Mean value

Calc.I.7 Graphing Techniques

Calc.I.8 Integral Calculus

 

Higher Mathematics Program

Introduction

The higher mathematics program caters to advanced college and university students. It is useful for I.S.I. M.Math Entrance, GRE Math Subject Test, TIFR Ph.D. Entrance, I.I.T. JAM.

The program is problem driven. We work with candidates who have a deep love for mathematics. This program is also useful for ‘continuing’ mature students who wish to rediscover the world of mathematics.

Curriculum

The higher mathematics program consists of the following topics:

Linear Algebra

Abstract Algebra (Groups, Rings, Fields)

Real Analysis and Point Set Topology

Vector Calculus

Eligibility

The program has no age bar. Students aspiring for various Ph.D. and Masters level entrances in India as well as GRE Subject Mathematics Test may apply.

Adults, who wish learn and enjoy the world of advanced mathematics may also take the course.

Format

The tests of I.S.I., C.M.I., NBHM, T.I.F.R. are usually two-fold in nature. First, there is a written test. Next, the successful candidates are invited for an interview. The dates vary from year to year, hence keep an eye on the websites of respective institutions.

GRE Math Subjective Test if offered four times every year. It is a 66-problem, 170 minutes objective test covering a wide range of topics from college mathematics.

Apply

Admission to Cheenta Higher Mathematics Program is highly selective. It consists of an online interview and a test.

Students and adults from any background may apply. The zeal for learning great mathematics is the only important criteria.

E Mail us at [email protected] to schedule an interview. Send us your phone number and skype id during application.

Here is a sample lecture:

Library

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See

This section consists of video recordings of our classes, video tutorials, animated applets and other viewable resources. See more.

Read

This section contains some useful articles. They are both mathematics and about mathematics. Read More.

Problem Garden

A selection of great problems and discussion on problem-solving strategy. Do some mathematics.