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
This program is useful for AMC 10, 12, IOQM, ISI- CMI Entrances University of Waterloo Contests, UKMT, SMO.
Course image Level 6U - general
Level 6
This program is useful for AMC 10, 12, IOQM, ISI- CMI Entrances University of Waterloo Contests, UKMT, SMO.
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