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Course

Stanford: Introduction to Mathematical Thinking

Run by Stanford University (via Coursera)

OnlineOnline, 8–10 weeks, ~5 hours/weekFreeOpenLow effort

About this opportunity

Taught by Stanford's Prof Keith Devlin, this course teaches how mathematicians think — logic, proof techniques, and abstract reasoning. Bridges the gap between school computation and university proof-based mathematics. Two versions: 8-week general and 10-week extended for prospective mathematics majors. Very popular globally.

Who can apply

Anyone; ideal for JC2 or post-A-Level students considering mathematics at university

What you get

Certificate

Frequently asked

Who runs this?+

Run by Stanford University (via Coursera). More on their website.

Who can apply?+

Anyone; ideal for JC2 or post-A-Level students considering mathematics at university

Is it paid?+

Free to apply. No participant fees.

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Updated 14 April 2026·Source