Build the foundations

Mathematics

Develop the mathematical language behind science, statistics, engineering and computing through visual explanations, rigorous reasoning and purposeful practice.

13 courses4 learning routesExpert tutoring available
Mathematics courses

Start learning Mathematics.

Focused courses combine clear explanation, structured progression and applied practice. Begin with one course or follow a broader pathway.

Browse all courses
Explore the discipline

Mathematics is more than one course.

Build breadth across the discipline or focus deeply on the topics most relevant to your studies, career or research.

ArithmeticAlgebraGeometryTrigonometryFunctionsCalculusLinear algebraDifferential equationsDiscrete mathematicsProbabilityReal analysisComplex analysisOptimisationNumerical methodsMathematical proofs
What you will build

Capability, not just course completion.

Learning Mathematics should change what you can understand, analyse and create—not simply add another course to a list.

01
Strengthen mathematical intuition

Build this capability progressively through explanation, examples, practice and application.

02
Solve unfamiliar quantitative problems

Build this capability progressively through explanation, examples, practice and application.

03
Understand mathematical notation confidently

Build this capability progressively through explanation, examples, practice and application.

04
Write clear mathematical arguments

Build this capability progressively through explanation, examples, practice and application.

05
Connect mathematics to statistics and computing

Build this capability progressively through explanation, examples, practice and application.

06
Prepare for advanced quantitative study

Build this capability progressively through explanation, examples, practice and application.

How you learn

Understand it. Practise it. Apply it.

Courses are designed around progression rather than passive content consumption.

01

Understand

Build intuition first

Concepts are introduced clearly so you understand the reasoning before memorising procedures.

02

Explore

Make ideas visible

Interactive examples and visual explanations help connect abstract ideas to intuition.

03

Practise

Turn understanding into skill

Work through structured examples, exercises and problems that increase gradually in difficulty.

04

Apply

Use what you learned

Connect your knowledge to examinations, university work, research, coding and real projects.

Expert support

Stuck on a difficult mathematics problem?

Learn independently when you can, then work with an expert when you need deeper explanation, feedback, exam preparation or help applying your knowledge.