Algebra For Math Contests (Amc, Aime, Imo)
Published 5/2024
MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz
Language: English | Size: 2.76 GB | Duration: 19h 34m

Training Course for National and International Math Olympiads

What you'll learn

Learn the theory required for Olympiad Maths. The course will cover Algebra for Math Contests.

Practice lots of actual Olympiad problems to test your skills.

Learn some common problem-solving strategies that are employed in solving Olympiad problems.

Do mock tests and quizzes to check your understanding.

Requirements

No pre-requisites are required for the course.

Description

The course covers all the topics in Olympiad Algebra. The entire course is divided into 5 sections. Each section has multiple videos which cover the theory and applications. Most sections also have assignment with problems from various Olympiads. The theory for the course is covered in a total of 25 video lectures, running for almost 20 hours of high-quality content. We discuss hundreds of problems in these 25 lectures while explaining the ideas. Some of the advanced topics covered in the course include - Algebra of Quadratic functions, Advanced Inequalities, Complex Numbers and their properties, extrema of algebraic expressions, Algebraic identities including Lagrange's identity and Sophie Germain identities, Polynomials, self-reciprocal polynomials and Roots of Polynomials, Irreducibility, Interpolation and Differences of Polynomials etc. We also cover lots of problems on these topics to help you crack the Olympiads.The assignment problems have been specially designed to go from beginner to advanced levels. Any students who face difficulties with the assignments can reach out to the instructor and I shall try and provide more content (video solutions) to help clarify your issues. If you have come across a particular idea or theorem in any Olympiad Algebra context, we have probably covered it in this course! Happy learning and have fun problem-solving!

Overview

Section 1: Quadratic Functions

Lecture 1 Non-trivial Problems on Quadratics

Lecture 2 Problem Solving Session 2

Section 2: Inequalities

Lecture 3 Squares of real numbers are positive.

Lecture 4 10 Problems on Inequalities

Lecture 5 20 Challenging problems

Lecture 6 All the Inequalities you need!

Lecture 7 Olympiad Problems on Inequalities

Section 3: Minima & Maxima of Algebraic Expressions

Lecture 8 Extrema of Algebraic Expressions - Part 1

Lecture 9 Extrema of Algebraic Expressions - Part 2

Section 4: Advanced Algebraic Identities

Lecture 10 Cube Identity

Lecture 11 Problems on Identities

Lecture 12 More Problems on Identities

Lecture 13 The amazing Lagrange's Identity

Lecture 14 Sophie Germain

Section 5: Polynomials

Lecture 15 Reciprocal Polynomials and their properties

Lecture 16 A Korean Math Olympiad Problem

Lecture 17 Roots of Reciprocal Polynomials

Lecture 18 Self-Reciprocal Polynomials & Applications

Lecture 19 Complex Numbers & Polynomials - Part 1

Lecture 20 Complex Numbers Part 2

Lecture 21 Roots of Polynomials - I

Lecture 22 6 Problems on Roots of Polynomials

Lecture 23 2 Olympiad Problems

Lecture 24 Triangle Inequality

Lecture 25 Triangle Inequality in polynomials

The course is targeted for Parents and guardians of students in high school who might be appearing for National and International Math Contests.