Learning Outcomes

Expressions and Formulas

Solving Equations

Inequalities

Complex Numbers

Lesson Summary

This first module looks at some basic expressions and formulas. It takes the learner through Inequalities and then moves onto complex numbers. Within each topic are a number of videos which will cover various sub-topics, such as Argand diagrams for complex numbers.

Synthetic Geometry

Coordinate Geometry

Trigonometry

In this module you will learn how to work with and solve synthetic geometry including shapes, coordinate geometry including parallel and perpendicular lines, circles and graphs. You will also learn how to work with trigonometry including sines, cosines and tangents.

Number Systems

Arithmetic

Length - Area - Volume

In this module you will learn how to work with and solve number systems including indices, arithmetic series and geometric series; use arithmetic to work with percentages, simple interest, compund interest and depreciation; and how to calculate the length, area or volume of a shape or segment.

Diploma in Mathematics - First Assessment

You must score 80% or more to pass this assessment.

Counting and Probability

Statistics

In this module you will learn how to work out the probability of simple and compound events, and work with normal distributions and binomial distributions. The topic also introduces you to Bernoulli trials and Bayes' Theorem. You will also learn how to work with statistical methods including sampling methods, correlation and regression, stem and leaf diagrams.

Functions

Calculus - Differentiation

Calculus - Integration

In this module you will learn how to work with functions to plot graphs, including quadratic graphs, cubic graphs and exponential graphs. This topic also review differentiation in detail including the Chain Rule, Product Rule and Quotient Rule. You will also learn about integration, covering areas such as trigonometric functions and exponentials.

Diploma in Mathematics - Second Assessment

Diploma in Mathematics - Assessment

We take you through important mathematical concepts step by step in this free online mathematics diploma course.

Diploma in Mathematics

Enhance and refresh your mathematical knowledge with this diploma course. We cover a wide range of topics, including algebra, statistics, calculus, geometry and trigonometry. We break down these complex ideas and go through them step by step with exercises and examples to prepare you for many professional fields. This course widens your career options as mathematics is essential in a world that is constantly moving forward with new technologies.

12 Best Data Structures & Algorithms Courses for 2025

Best CSS Layout Courses for 2025

[2025] 150+ Online Courses to Help Your Career

The Business of Online Education: A Deep Dive Into Coursera’s Financials

9 Best GIS Courses for 2025: Navigating Spatial Data

Coursera Q4 2025: 197M Learners, ~$197M Revenue, ~$27M in Losses

10 Best Organic Chemistry Courses for 2025

7 Best Free Haskell Courses for 2025

Duolingo’s Reddit Community Revolts: ‘No Más’ to Unpaid Support

600+ Courses from Top Med Schools with Free Certificate & CME Credit

[2025] Massive List of Thousands of Free Certificates and Badges

Coursera and Udemy Shareholders Approve Merger With 99% of Votes

7 Best TikTok Marketing Courses for 2025

Duolingo Acqui-hires Music Gaming Studio NextBeat for $34.5 Million

Duolingo’s Restaurant Side Business Tops $1.3M

OpenAI Academy Review: A Close Look at ChatGPT 101 for Small Businesses