# College Mathematics Program

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 adults continuing who wish to rediscover the world of mathematics.

# Curriculum

College Mathematics Program at Cheenta has several modules. They are supplemented by elementary problem solving sessions in Number Theory, Combinatorics, Geometry and Algebra

#### Abstract Algebra

Groups, Rings, Fields, Sylow’s Theorem, Lagrange Theorem, Galois Theory, Isomorphism Theorems

#### Linear Algebra

Vector Spaces, Linear Transformations, Matrices, Eigen Values, Eigen vectors, Spectral Theory

#### Real Analysis

Sequences, Limit, Continuity, Uniform Continuity, Heine Borel Theorem, Convergence Tests

#### Complex Analysis

Field of complex numbers, Geometric Interpretation, Cauchy Riemann Equation, Complex Integrals

#### Vector Calculus

Vector fields, Multivariable calculus, Tangent Spaces, Gradients and Jacobian, Green’s Theorem, Stoke’s Theorem.

#### Topology

Point Set Topology, Metric Spaces, Compactness, Connectedness, Completeness

# Not a spectator sport.

Mathematicians of tomorrow need to ‘get their hands dirty’ today. Cheenta advanced program is a purely problem-driven experience. The lecture sessions are supplemented by weekly problem solving classes.

# Testimonials

# 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).

#### 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