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Room for a clear thought

A clear argument starts with a question. Follow each step, check its assumptions and make the reasoning your own.

Mathematics & computing · 2026–27

Study mathematics.
Develop your reasoning.

Browse 20 course outlines, check the prerequisites and start with the units currently available.

Course lessons are available in English and Chinese. Source readings may be in English.

Learning access is available

Course pages show available content and access requirements. Browse courses

Find your starting point

Four fields. Connected foundations.

All courses

A course is more than a reading list.

Check the conditions, work through an argument and revisit the step that needs attention.

Read with a question

Start with the aims and background. Read published units and consult their sources.

Work through a step

Use the exercises available in the course. Keep your assumptions and reasoning visible.

Review and return

Review your work and return to the relevant explanation. Saving work and checking correctness are different.

A small interactive collection

Explore a single idea.

Four authored examples offer another way to examine an idea alongside the courses.

Try an example

Make your reasoning easier to follow.

Read about the learning approach and the participation routes currently available.

Exchange and participation

IP Geolocation by DB-IP · CC BY 4.0