For IOQM and AMC 10 - Year 1

Course image Combinatorics IOA θ - 6B - 08072024
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 Number Theory IOA δ - 6A - 01072024
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 Algebra IOA δ - 6U - 10062024
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 - 6C - 10062024
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 - 6B - 13052024
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 - 06052024
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 Geometry IOA θ - 6C - 15042024
Level 6

  • Triangular Inequality
  • Congruences and Parallel Lines
  • Properties of Triangles
  • Similar Triangles
  • Ceva's and Menelaus's theorem
  • Mathematical Games
  • Review and Evaluation


Course image Combinatorics IOA θ - 6U - 08042024
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 - 6B - 25032024
Level 6

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

Course image Combinatorics IOA θ - 6A - 18032024
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 Algebra IOA θ - 6C - 26022024
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 Evaluation

Course image Geometry IOA θ - 6U - 19022024
Level 6

  • Triangular Inequality
  • Congruences and Parallel Lines
  • Properties of Triangles
  • Similar Triangles
  • Ceva's and Menelaus's theorem
  • Mathematical Games
  • Review and Evaluation


Course image Algebra IOA δ - 6B - 05022024
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 Geometry IOA θ - 6A - 29012024
Level 6

  • Triangular Inequality
  • Congruences and Parallel Lines
  • Properties of Triangles
  • Similar Triangles
  • Ceva's and Menelaus's theorem
  • Mathematical Games
  • Review and Evaluation

Course image Combinatorics IOA δ - 6B - 15012024
Level 6

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

Course image Algebra IOA δ - 6C - 08012024
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 - 6U - 01012024
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 δ - 6B - 18122023
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