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

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

• 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
  

• 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

• 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

• 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

• 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

• 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
  

• 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

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.

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

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

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

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

• 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

• 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
  

• 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

• 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

• 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

• 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