Course image Geometry IOA δ - 6C - 25092023

Level 6

- Area of Triangles and Volume
- Basics of Circles - IAT
- Tangent to Circles - AST, Pitot's Theorem
- Cyclic Quadrilaterals - Pedal line and Ptolemy's Theorem
- Miscellaneous problems on Triangles and Circles
- Construction Problems
- Review and Evaluation

Course image Combinatorics IOA δ - 6A - 18092023

Level 6

- Principle of Inclusion and Exclusion and Derangements
- Recurrence Relations
- Introduction to Graph Theory

Course image Algebra IOA θ - 6B - 28082023

Level 6

- Inequality - Basic inequalities and Cross multiplication method
- Inequality - AM-GM-HM inequality proof, Cauchy Schwarz inequality, Transformation
- Measures of Central Tendency
- System of Linear Equations in 2, 3 variables ; Matrices and Determinants
- Finite Series and Sequences - AP, GP, Special Finite series and Telescoping series
- Finite Series and Sequences - Trigonometric series and Summations with Binomial coefficients
- Review and Evalutation

Course image Geometry IOA δ - 6U - 21082023

Level 6

- Area of Triangles and Volume
- Basics of Circles - IAT
- Tangent to Circles - AST, Pitot's Theorem
- Cyclic Quadrilaterals - Pedal line and Ptolemy's Theorem
- Miscellaneous problems on Triangles and Circles
- Construction Problems
- Review and Evaluation

Course image Combinatorics IOA θ - 6C - 07082023

Level 6

- Linear and Circular Permutations
- Combinations and Bijection Principle
- Arrangements and Selections with

Repetition - Stars and Bars - Binomial Theorem and its Coefficients,

Pascal Triangle - Hockey Stick Identity,

Multinomial Theorem and its Coefficients - Pigeon - Hole Principle and

Constructive Counting - Review and Evaluation

Course image Geometry IOA δ - 6A - 31072023

Level 6

- Area of Triangles and Volume
- Basics of Circles - IAT
- Tangent to Circles - AST, Pitot's Theorem
- Cyclic Quadrilaterals - Pedal line and Ptolemy's Theorem
- Miscellaneous problems on Triangles and Circles
- Construction Problems
- Review and Evaluation

Course image Number Theory IOA δ - 6U - 31072023

Level 6

- Problems on Parity and Power of Integers
- Greatest Integer Function and Digits of Numbers
- Arithmetic Functions - Number and Sum of Divisors, Euler's Totient Function

Course image Number Theory IOA δ - 6A - 100723

Level 6

- Problems on Parity and Power of Integers
- Greatest Integer Function and Digits of Numbers
- Arithmetic Functions - Number and Sum of Divisors, Euler's Totient Function

Course image Combinatorics IOA θ - 6B - 100723

Level 6

- Linear and Circular Permutations
- Combinations and Bijection Principle
- Arrangements and Selections with

Repetition - Stars and Bars - Binomial Theorem and its Coefficients,

Pascal Triangle - Hockey Stick Identity,

Multinomial Theorem and its Coefficients - Pigeon - Hole Principle and

Constructive Counting - Review and Evaluation

Course image Level 6 Introduction

Level 6

Welcome to Cheenta Level 6, advanced mathematics program. This is suitable for

- IOQM
- AMC 10 and 12
- ISI-CMI Entrances

This is the Induction module of this program. Students usually attend it at the beginning of the course.

Course image Level 6A -general

Level 6

This program is useful for AMC 10, 12, IOQM, ISI- CMI Entrances University of Waterloo Contests, UKMT, SMO.

Course image Level 6B - general

Level 6

This program is useful for AMC 10, 12, IOQM, ISI - CMI Entrances University of Waterloo Contests, UKMT, SMO.

Course image Level 6C - general

Level 6

Course image Level 6U - general

Level 6

Course image Algebra IOA δ - 6U - 120623

Level 6

- Polynomials - Division Algorithm, Remainder and Factor Theorem, Vieta's Formula, FTA
- Polynomials - Rational Root Theorem, Reciprocal and Symmetric Polynomial
- Polynomials - Harder problems on Polynomials
- Complex Numbers in Algebraic Form
- Complex Numbers in Trigonometric Form and nth Roots Unity
- Basic Functional Equations
- Review and Evaluation

Course image Number Theory IOA θ - 6B - 220523

Level 6

- Basic Principles in Number Theory -

Well ordering Principle, Mathematical

Induction, Divisibility - Division Algorithm - GCD, LCM, Bezout's Lemma, Euclidean Algorithm
- Prime Numbers - FTA and Number Bases
- Congruences - Day 1 - Basic properties
- Congruences - Day 2 - Linear Congruences and CRT
- Diophantine Equations
- Review and Evaluation

Course image Number Theory IOA θ - 6C - 120623

Level 6

- Basic Principles in Number Theory -

Well ordering Principle, Mathematical

Induction, Divisibility - Division Algorithm - GCD, LCM, Bezout's Lemma, Euclidean Algorithm
- Prime Numbers - FTA and Number Bases
- Congruences - Day 1 - Basic properties
- Congruences - Day 2 - Linear Congruences and CRT
- Diophantine Equations
- Review and Evaluation

Course image Algebra IOA δ - 6A - 220523

Level 6

- Polynomials - Division Algorithm, Remainder and Factor Theorem, Vieta's Formula, FTA
- Polynomials - Rational Root Theorem, Reciprocal and Symmetric Polynomial
- Polynomials - Harder problems on Polynomials
- Complex Numbers in Algebraic Form
- Complex Numbers in Trigonometric Form and nth Roots Unity
- Basic Functional Equations
- Review and Evaluation

Course image Combinatorics - IOA θ - 6A- 030423

Level 6

- Linear and Circular Permutations
- Combinations and Bijection Principle
- Arrangements and Selections with

Repetition - Stars and Bars - Binomial Theorem and its Coefficients,

Pascal Triangle - Hockey Stick Identity,

Multinomial Theorem and its Coefficients - Pigeon - Hole Principle and

Constructive Counting - Review and Evaluation

Course image Combinatorics IOA θ - 6U - 240423

Level 6

- Linear and Circular Permutations
- Combinations and Bijection Principle
- Arrangements and Selections with

Repetition - Stars and Bars - Binomial Theorem and its Coefficients,

Pascal Triangle - Hockey Stick Identity,

Multinomial Theorem and its Coefficients - Pigeon - Hole Principle and

Constructive Counting - Review and Evaluation