As an earth science teacher, I use math more than most people expect — orbital mechanics, seismic wave calculations, plate velocity rates. When I needed to genuinely understand Fourier transforms for a lesson on seismic data, I turned to YouTube. What I found was a genuinely extraordinary ecosystem of math education that rivals anything I encountered in formal study. This is my curated list, built over three years of actual use.
Tier 1: Essential (Watch These First)
3Blue1Brown
Grant Sanderson’s channel is widely considered the best mathematics education channel on YouTube, full stop. His “Essence of Linear Algebra” and “Essence of Calculus” series use custom visualization software (Manim, which he open-sourced) to build genuine geometric intuition for concepts that are typically taught purely algebraically. The video on the intuition behind Fourier transforms (the one that helped me) has 10M+ views and deserves every one of them. Best for: calculus, linear algebra, neural networks, probability, complex numbers.
Numberphile
Brady Haran’s channel features working mathematicians explaining concepts and unsolved problems on brown paper. Less systematic than 3Blue1Brown but extraordinarily broad — 500+ videos covering everything from prime gaps to the Banach-Tarski paradox. The genius of Numberphile is accessibility: most videos are understandable without advanced prerequisites. Best for: math culture, number theory, curious exploration across all areas.
Khan Academy
Systematic, curriculum-aligned, free, and comprehensive from arithmetic through multivariable calculus. Not the most exciting production, but Sal Khan’s explanations are clear and the practice problem integration is excellent. Best for: filling specific knowledge gaps, following a structured curriculum, exam preparation at K-12 and early university level.
Tier 2: Specialized and Excellent
Professor Leonard
Full university calculus courses, filmed in actual classroom lectures. The production is basic; the teaching is exceptional. Leonard is patient, thorough, and genuinely skilled at anticipating student confusion. His calculus 1, 2, and 3 playlists are free university courses. Best for: anyone taking or retaking calculus at any level.
Blackpenredpen
Steve Chow works through calculus problems live, with unusual problems and creative approaches. His speed and facility with computation is impressive; his explanations remain clear throughout. Good for seeing math as something you do rather than something you watch. Best for: calculus problem-solving, integral techniques, differential equations.
Mathologer
Burkard Polster at Monash University covers advanced topics with genuine mathematical depth — proofs, not just results. The channel treats viewers as intelligent adults capable of following careful reasoning. Best for: proof-based mathematics, number theory, geometry, advanced topics beyond standard curriculum.
StatQuest with Josh Starmer
Statistics and machine learning explained with unusual clarity and gentle humor. If you’ve ever been confused by p-values, confidence intervals, or neural network backpropagation, Starmer’s explanations are the best available on video. Best for: statistics, probability, data science foundations.
For Students Specifically
The Organic Chemistry Tutor covers a massive range of math and science topics at secondary and early university level. Methodical rather than inspiring, but comprehensive and reliable. Useful for exam preparation when 3Blue1Brown’s conceptual depth is more than the exam requires.
A Note on How to Use These Effectively
Research on video-based learning — including a 2019 meta-analysis in Journal of Educational Psychology — shows that passive video watching produces minimal retention without active processing. Pause to work through examples yourself. Take notes by hand. Attempt problems before watching solutions. The channel quality matters less than whether you’re actively engaging with the content.
The Sequence I’d Recommend for an Adult Learner Starting From Scratch
- Khan Academy through precalculus (gap-filling)
- 3Blue1Brown “Essence of Calculus” series (conceptual foundation)
- Professor Leonard for working calculus skill
- 3Blue1Brown “Essence of Linear Algebra” (conceptual foundation)
- StatQuest for statistics
- Then explore Numberphile and Mathologer for genuine mathematical culture