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

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.

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Curriculum

I.S.I. & C.M.I. Entrance Program at Cheenta includes advanced topics like Number Theory, Combinatorics and Geometry, apart from regular high school topics.

Number Theory

Congruence, Theorems of Fermat, Euler, Wilson, Quadratic Reciprocity, Lagrange, Properties of prime numbers.

Combinatorics

Bijection Principle, Inclusion, Exclusion, Pigeon Hole Principle, Combinatorial Arguments, Graph Theory.

Geometry

Synthetic Geometry, Geometric Transformations (Translation, Rotation, Inversion), Projective Geometry .

Polynomials

Integer Polynomials, Fixed Points, Rational Roots, Eisenstein Criterion, Diophantine Equations.

Complex Numbers

Field axioms, basic inequalities, algebra of rotation and homothety, applications in geometry and number theory.

Inequality

A.M.-G.M., Cauchy Schwarz, Jensen, Rearrangement, Geometric Inequality, Power Means. 

Calculus

Sequences, Limit, Continuity, Differentiability, Applications, Integral Calculus, Graph Drawing.

Trigonometry

Properties of triangles, trigonometric ratios, compound, multiple angles, Height and Distance related problems

Coordinate Geometry

Straight Lines, Circle, Parabola, Ellipse, Hyperbola, Locas problems, Polar coordinat, Barycentric coordinates.

Problem-driven coursework

Beautiful problems are the bread and butter of our courses. Our pedagogical method typically involves a problem to concept pathway. The classes usually begin with a motivating problem. That unfolds into a deep conceptual framework, leading to more problems.

Testimonials

“a wide range of mathematical topics, and every lesson is packed with insights and methods. We are extremely pleased with the difference he has been making. Under his tutelage Sam has secured several gold awards from the UK Mathematics Trust (UKMT)…“

Jayanta Majumdar, Glasgow, UK

“approach towards solving a problem has become more mature now. Not that he can solve each and every problem but he loves to think on the tough concepts. For this, all credit goes to Ashani, who is never in a hurry to solve a problem quickly. Rather he tries to slowly build the foundation..””

Shubhrangshu Das, Bangalore, India

“Our experience with Cheenta has been excellent.  Even though my son started in Middle School, they understood his Math level and took personalinterest in developing a long-term plan considering his strengths and weakness areas. Through out the semester courses they have nourished him with challenging problems and necessary homework.  His guidance has helped my son to perform well at competitions including USAJMO and others. He has grown more confident in his math abilities over the past year and halfand is hoping to do well in the future.  “

Murali Kadaveru, Virginia, USA

Admission Process

Admission to Cheenta Advanced Program is selective. The prospective candidate is inducted into a trial process (involving an interview and a short test).

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Live Online Classes

This program has the live online option. The classes are usually interactive and are supplemented by a monthly assignment cum evaluation test.

At Calcutta Center

This program is also available at our Calcutta center. The offline contact classes are supplemented with the online option as well.

Useful Documents

Download the curriculum and booklist

Curriculum
Book List