Learning Outcomes

Factorising Quadratics

Factorising - Difference of Two Squares

Expanding Brackets (Grid Method)

Expanding Brackets (FOIL method)

Expanding Any Two Brackets

Rearranging Simple Formulae

Rearranging Simple Formulae 2 Steps

Rearranging Formulae with Squares and Square Roots

Rearranging Formulae New Subject Appearing Twice

Simplifying Surds

Further Calculations with Surds

Completing The Square

General Completing The Square

Binomial Expansion

Lesson Summary

Learn about expression and formulae used in the Algebra and Mathematics,

Equations with Linear Functions in The Denominator

Quadratic Equations Using The Formula

Simultaneous Equations Both Negative Signs

Quadratic Equations Non Unitary x Squared

Quadratic Equations Both Brackets The Same Sign

Quadratic Equations Brackets With Different Signs

Quadratic Equations That Have to be Rearranged

Solving Simultaneous Equations Graphically

Simultaneous Equations Negative and Positive Signs

Simultaneous Equations Both Positive

Hidden Quadratics

Use of The Discriminant

Equations With Indices

Learn about solving Quadratic equations and simultaneous equations, along with what hidden quadratics are, the discriminant and how to solve equations with indices.

Logarithmic Equations

Solving Exponential Equations

From Roots to Functions

Non Linear Simultaneous Equations

Factor Theorem

The Remainder Theorem

General Remainder and Factor Theorem

Finding Roots of Cubic Equation

Modulus Equations

Using Graphs to Solve Modulus Equations

Learn more about solving Logarithmic and exponential equations, along with what the factor and remainder theorems are and how they work.

Finding Inequalities from Shaded Regions

Solving Linear Inequalities with Fractions

Solving Quadratic Inequalities – Method 1

Solving Quadratic Inequalities – Method 3

Non-Unitary x^2 - Trial and Error Method

Solving Quadratic Inequalities – Method 2

Non-Unitary x^2 - Algebra Method

Non-unitary x^2 - Graphical Method

Solving Quadratic Inequalities - Special Cases

Rational Inequalities

Modulus Inequalities

Modulus Function On a Graph

Graphical Solution of Modulus Inequalities

Learn about solving and working out quadratic equations with inequalities, demonstrating three different methods to do so, explaining what modulus equations are and how to work them out.

Manipulating Complex Numbers and The Complex Conjugate

The Argand Diagram and Modulus

The Meaning of i

Patterns with Imaginary Numbers

Writing Complex Numbers in Polar Form

Multiplying and Dividing in Polar Form (Proof)

Multiplying and Dividing in Polar Form (Example)

Proof of De Moivre’s Theorem

Complex Numbers When Solving Quadratic Equations

Cubic Equations With Complex Roots

Finding The Cube Roots of 8

Learn about how to work with and use complex numbers, how to convert them to the polar form, multiplying and dividing in the polar form, solving quadratic equations with complex numbers, and complex roots with cubic equations.

Algebra in Mathematics - Assessment

With this online course gain a good understanding of the fundamentals and key aspects of Algebra in mathematics.

Algebra in Mathematics

This free online algebra course offers a comprehensive introduction to algebra and carefully and clearly explains the concepts of algebraic fractions. Have you ever asked yourself why algebra is so complicated? Well, you're not alone. This Algebra in Mathematics course is designed to make studying mathematical symbols much easier for you. Take this free online course today and make your math studies a lot less stressful!

Arrangements and Selections

Expected Value

Probability Of Simple Events

Probability Of Compound Events

Independent Events

Probability Using Tree Diagrams

Probability Trees With And Without Replacement

Reverse Probability - Bayes' Theorem

Bayes' Theorem And Medical Testing

Probability Patterns Of Discrete Variables

Learn about calculating probability in this module, Starting of with defining arrangements and selections, how to calculate an expected value, and the probability of simple events, eventually leading into Bayes Theorem and the probability patterns of discrete variables.

Comparing Distributions

The Binomial Distribution

A Problem Using Binomial Distribution

Bernoulli Trials And The Binomial Formula

The Normal Distribution

Using Excel To Calculate Binomial Probabilities

Using Excel To Find The Mean Of A Binomial Distribution

Further you knowledge on counting and probability in this module.

Probability and Chance in Mathematics - Course Assessment

Take this free maths course to learn how to calculate the likelihood or possibility that an event will occur.

Probability and Chance in Mathematics

This module will be a massive help to anyone studying mathematical probability and chance. It covers topics from calculating the probability of simple events to Bayes’ theorem and binomial distribution. You will also look into how to conduct a Bernoulli trial (or binomial trial), study the use of Excel to calculate binomial probabilities, learn to find the mean of a binomial distribution, and a whole lot more!

Duolingo is Shutting Down Its Only Classroom Tool

Udemy’s Fourth Leadership Exit of 2025: CMO Genefa Murphy Resigns

Harvard and MIT’s $800 Million Mistake: The Triple Failure of 2U, edX, and Axim Collaborative

The Business of Online Education: Khan Academy Tax Returns Analysis (2008–2021)

[2025] 450+ Free Google Certificates and Badges

University of Sheffield Ends 11-Year Partnership with FutureLearn

900+ Open University Free Certificates

Chinese Edtech Pivots: Well-rounded Education, Hardware, Agriculture E-commerce, Fast-Food, Garments, and More

5 Best Free Raspberry Pi Courses for Beginners in 2025

SEO Content Strategy Demystified: Coursera, MasterClass, and edX

Udemy is “Intentionally Reducing” the Business That Made It Famous. It’s Not Working.

Duolingo’s Restaurant Side Business Tops $1.3M

9 Best Cinema 4D Courses for 2025: Navigating the 3D Universe

Class Action: 50,000 Seek Payouts, Costing Coursera, Udemy Millions

6,000+ Online Courses from California Community Colleges: A New Search Tool by Class Central

[2025] 300+ Free Digital Marketing Certificates & Badges