About Course
The BStat - BMath Entrance of Indian Statistical Institute and BSc. Math Course of Chennai Mathematical Institute are two of the most challenging high school entrances in mathematics in India. These entrances test the ability of a student to solve non-routine problems from high school topics as well as Number Theory, Geometry and Combinatorics.
Cheenta has two beautiful courses for ISI - CMI Entrances.
- Self Paced Video Based Course
- Live Online Classroom Program
This self - paced course includes video lectures on non-routine topics such as Number Theory, Geometry, Combinatorics, Algebra and Calculus, suitable for ISI-CMI Entrances. It also includes mock tests, topic wise tests and assignments.
What Will You Learn?
- Number Theory
- Geometry
- Algebra
- Combinatorics
- Calculus
Course Content
Success Stories
Get inspired from past success stories at Cheenta
Combinatorics
Learn the fundamentals of counting principle useful for ISI - CMI Entrances
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10:36
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Combinatorial Arguments - 2
08:01 -
Topic Test: Basics of Combinatorial Coefficients
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Vandermonde Identity
15:21 -
Bijection Principle 1
05:03 -
Bijection Principle 2
04:12 -
Bijection Principle 3
05:57 -
Bijection Principle 4
06:37 -
Stick and Ball Method
13:03 -
Invariance Principle - 1
15:56 -
Invariance Principle - 2
11:29 -
Colouring Problems 1 - Learn by Solving Application
16:35 -
Colouring Problems 2 - Learn by Solving Application
07:28 -
Colouring Problems 3 - Learn by Solving Application
08:37 -
Derangement
13:07 -
Counting Right Triangles in a Circle
08:30 -
Extremal Principle
10:50 -
Parity
09:27 -
Gaps in Permutation
04:44
Geometry
Learn the basics of Euclidean Geometry through problem solving, for ISI and CMI Entrances
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Median and Angle Bisector
08:32 -
Paper Folding Geometry - Learn by Application Problem
11:22 -
Ceva's Theorem - Application Problem
21:52 -
Menelaus Theorem - Application Problem
11:10 -
Power of a Point
07:15 -
Geometry Constructions Application Problem
05:29 -
Orthocenters and Hexagon - 1
05:57 -
Orthocenters and Hexagon - 2
04:10 -
Orthocenters and Hexagon - 3
03:39 -
Orthocenters and Hexagon - 4
08:22 -
Cyclic Quadrilaterals and Kites - 1
03:48 -
Cyclic Quadrilaterals and Kites - 2
04:23 -
Cyclic Quadrilaterals and Kites - 3
05:56 -
Intermediate Value Property in Geometry - 1
05:03 -
Intermediate Value Property in Geometry - 2
07:06 -
Cyclic Pentagon Strategy
11:58 -
Inradius is related to area
07:36 -
Cosine Rule and Extended Pythagoras Theorem
16:56 -
Sine Rule and Incenter
13:11 -
Side Opposite to Largest Side is Largest
11:41 -
Angle subtended by the same arc are equal
12:20 -
Barycentric Coordinates - Part 1
04:02 -
Barycentric Coordinates - Part 2
07:15 -
Napoleon Triangle - 1
09:14 -
Napoleon Triangle - 2
10:02 -
Napoleon Triangle - 3
17:47 -
Convexity
08:16 -
Inversive Geometry - 1
11:50 -
Inversive Geometry - 2
09:42 -
Spiral Similarity
12:32 -
Kites
27:09 -
Ptolemy's Theorem
13:09 -
Fermat Point - 1
06:07 -
Fermat Point - 2
11:54
Algebra
Learn advanced algebra topics such polynomials, inequalities, functional equations and complex numbers suitable for ISI - CMI Entrances
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Factorisation of and application in Number Theory
08:24 -
Telescoping and Induction - Learn by Solving Application Problem
09:52 -
Solutions of Cubic - Learn by Solving Application Problem
16:29 -
Solutions of Bi-quadratic - Learn by Solving Application Problems
03:21 -
Solutions of Bi-quadratic - 2
16:46 -
Square Method and Roots of Polynomial
10:03 -
Auxiliary Polynomial - Strategy
09:04 -
Functional Equation - Application Problem 1
06:43 -
Functional Equation - Application Problem 2
17:23 -
Box Function - 1
06:05 -
Box Function - 2
06:07 -
Box Function - 3
07:31 -
Box Function - 4 (and Quadratic Inequality)
08:39 -
Inequality - a number plus its reciprocal exceeds 2
12:42 -
Inequality - Arithmetic Mean, Geometric Mean
15:31 -
Inequality - Inductive argument for AM - GM
10:18 -
Inequality - Geometry of Cauchy Schwarz
09:41 -
Inequality - Geometry of AM - GM
08:46 -
Inequality - Trigonometry and AM - GM
12:50 -
Sequences, Least Upper Bound, and AM - GM Inequality - 1
13:17 -
Sequences, Least Upper Bound, and AM - GM Inequality - 2
12:04 -
Complex numbers, Fifth Roots of Unity - Learn by Solving Application Problem
16:43 -
Powers of Complex Numbers
09:16 -
Triangles in Complex Plane
08:56 -
Complex numbers and geometry - Application Problem
20:14
Number Theory
Learn fundamentals of elementary number theory and related problems suitable for ISI - CMI Entrances.
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Arithmetic of Remainders - the experiment
10:10 -
Arithmetic of Remainders - the proof
06:30 -
Topic Test - Number Theory - Arithmetic of Remainders
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Theory of Congruence - introduction with geometry
08:30 -
Congruence Relation is an equivalence relation
14:27 -
Properties of Congruence Relation
15:05 -
Modular Inverse
06:24 -
GCD and Modular Inverse
06:32 -
Euclidean Algorithm - 1
13:42 -
Euclidean Algorithm - 2
08:03 -
Bezout's Theorem
12:48 -
Computing with GCD
13:32 -
Prime factorisation, Factorials and Ending Zeroes - Learn by Application Problem
07:13 -
Pairing of Divisors
13:10 -
Prime factorisation, Case Work - Learn by Solving Application Problem
08:40 -
Number Theoretic Functions - 1
07:16 -
Application of Tau and Euler's Totient Functions - 1
14:24 -
Diophantine Equations and Module 7 checks
13:46 -
Solving Equations using Prime Numbers
10:02 -
Wilson's Theorem
10:20
Calculus
Learn fundamentals of differential and integral calculus and advanced problems related to these topics suitable for ISI - CMI Entrances.
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Sets, Inverse Maps and Continuity 1
06:23 -
Sets, Inverse Maps and Continuity 2
09:42 -
Mixed Functions in Equation - Strategy
06:53 -
Mean Value Theorem - 1
04:21 -
Mean Value Theorem - 2
05:35 -
Mean Value Theorem - 3
07:20 -
Mean Value Theorem - 4
05:54 -
Graphing Technique with Calculus - 1
11:56 -
Graphing Technique with Calculus - 2
07:57 -
Graphing Technique with Calculus - 3
10:43 -
Graphing Technique with Calculus - 4
07:05 -
Graphing Technique with Calculus - 5
09:20 -
Integration and Area - Learn by Solving Application Problem
20:41 -
Graphing an Integral - Part 1
06:41 -
Graphing an Integral - Part 2
07:38 -
Graphing an Integral - Part 3
05:48 -
Leibniz Rule
05:41
Mock Tests
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