Fundamentals of Algebra 2022

Master the must know concepts and techniques of Algebra to launch your mathematical understanding.

What you’ll learn
Full student work book consisting of questions and worked solutions for every concept
Key fundamental algebraic concepts and techniques.
Operations with algebraic fractions.
Key techniques such as rearranging, cross multiplying and factorising.
How to solve a variety of equations including linear, quadratic, logarithm and indicial equations.
Using the quadratic formula
Requirements
No prior Algebra experience needed. You will learn everything you need to know.
Description
This course will teach you the key fundamentals of Algebra. The biggest problem that students face when studying more in-depth mathematical topics such as calculus is not fully understanding the basics and having gaps in their knowledge. This leads to further problems down the track. This course will ensure you master the key ideas, fill in those gaps and set yourself up for future success. Upon completion of this course, you will be ready to take on more advanced topics such as algebra 2, Trigonometry and Calculus.Section 2 starts right at the beginning and introduces key concepts and core skills such as expanding, factorising and performing operations with algebraic fractions. Section 3 builds on section 2 and teaches you the techniques to solve a variety of algebraic equations. These included linear, quadratic, non-monic quadratic, logarithmic, indicial and exponential equations.How to get the most out of this courseThis course is broken up into small individual sections designed to help you learn exactly what you need to know. The expertly crafted learning videos are designed to maximize your time. View the tutorial video and follow along. Pause and take notes as needed. After each of the tutorial videos you will find a ‘check of understanding’ which consists of 5 questions that relate to the material covered in the video/s. Complete the questions and check your Answers with the worked solutions so you can see how you are progressing.Happy learning!

Overview

Section 1: Introduction- How to get the most out of this course

Lecture 1 How to Navigate the Course

Section 2: Algebra – The must know fundamentals

Lecture 2 Introduction to Algebra

Lecture 3 Introduction to Algebra – Language

Lecture 4 Introduction to algebra – Operations with like Terms

Lecture 5 Commutive, Associative and Distributive law

Lecture 6 Expanding brackets or ‘parentheses’

Lecture 7 Expanding brackets (Special cases)

Lecture 8 Factorising

Lecture 9 Factorising algebraic expressions

Lecture 10 Factorising quadratic expressions

Lecture 11 Factorising of non-monic quadratics and Difference of Perfect Squares

Lecture 12 Multiplying and dividing algebraic fractions

Lecture 13 Adding and subtracting algebraic fractions

Section 3: Algebra – Techniques of solving algebraic equations

Lecture 14 Identify linear equations and introduce the concept of balancing equations

Lecture 15 Solve linear equations

Lecture 16 Using the cross multiply technique to solve for unknowns in fractions

Lecture 17 Rearranging equations to express formula with different unknowns

Lecture 18 Solving quadratic equations by factorising

Lecture 19 Quadratic formula and how to apply it to solve quadratic equations

Lecture 20 Solving logarithmic equations

Lecture 21 Solving Indicial equations (Part 1)

Lecture 22 Solving Indicial equations (Part 2)

Lecture 23 Exponential growth and decay

This course is intended for people who want to master the fundamentals of algebra. This course will provide a great foundation of understanding in which you could build on with more advanced topics down the track such as Algebra 2, Trigonometry and Calculus.