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 6U - general

Level 6

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 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

Course image Geometry IOA θ - 6B - 030423

Level 6

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

Course image Geometry IOA θ - 6U - 060323

Level 6

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

Course image Level 6 - One-problem-a-day

Level 6

This module is suitable for Mathematical Olympiads (IOQM, AMC 10-12) and ISI-CMI Entrance. Spend 15 minutes per day to achieve byte size learning.

- Number Theory
- Algebra
- Geometry
- Combinatorics