The best YouTube channels for math span everything from beautifully animated proofs of abstract theorems to four-hour lecture recordings that replicate a full university calculus course. The challenge is not finding good content — it is knowing which channel serves which purpose, at which stage of your learning.
Some channels build intuition. Some drill technique. Some cover university curricula systematically. Some make mathematics accessible to general audiences by trading rigor for clarity. None of them do all of these things equally well, and using the wrong type of channel at the wrong stage wastes time and creates false confidence.
This guide organizes the best YouTube channels for math by sub-topic and learning goal, with honest notes on what each channel does well, who it is for, and how to combine channels into something that actually builds knowledge.
For subject-specific roadmaps, see how to learn calculus from YouTube, learn statistics from YouTube, and the broader best YouTube channels for self-learners guide. For notes on the single most celebrated mathematics channel online, see the 3Blue1Brown Essence of Calculus notes.
3Blue1Brown — The Gold Standard for Mathematical Intuition
3Blue1Brown (Grant Sanderson) is the most important mathematics channel on YouTube. That is not opinion inflated by popularity — it reflects a genuine qualitative difference between what Sanderson produces and what most other educational content achieves.
The channel builds mathematical intuition visually. Sanderson wrote Manim, a Python-based animation engine specifically for mathematical visualization, and every video uses it to show how mathematical objects behave geometrically before (or instead of) introducing algebraic formalism. The Essence of Calculus series explains why the derivative is defined as a limit by showing what happens to a secant line as the two points converge. The Essence of Linear Algebra series shows matrix multiplication as a geometric transformation before introducing the notation. The neural network series makes backpropagation visually obvious before the chain rule formalism appears.
What makes this unusual: most mathematics instruction starts with definitions and builds toward understanding. Sanderson starts with understanding and introduces definitions as names for things you already grasp. This is pedagogically superior for building durable intuition, though it does require supplementing with problem practice.
What 3Blue1Brown does not do: drill technique. You will not emerge from the Essence of Calculus series able to compute derivatives quickly — you will understand deeply why the process works. Pair it with Professor Leonard or blackpenredpen for the computational fluency the channel does not build.
Who it is for:
- Anyone encountering calculus, linear algebra, probability, or neural networks for the first time who wants to build understanding before mechanics
- Anyone who has learned the mechanics but feels like they never understood what they were doing
- Students preparing for university mathematics who want to arrive with genuine intuition rather than pattern-matching skills
Specific playlists worth watching:
- Essence of Calculus (11 videos)
- Essence of Linear Algebra (16 videos)
- Neural Networks series (8 videos)
- The "But why is a sphere's surface area four times its cross section?" — a masterclass in mathematical thinking
- The Fourier Transform explainer
For detailed chapter-by-chapter notes on the calculus series, see 3Blue1Brown Essence of Calculus notes.
Professor Leonard — Complete University Calculus and Beyond
Professor Leonard (Leonard Intercal, Fresno State) is the best free substitute for a university calculus professor on YouTube. His playlist covers precalculus, Calculus 1, Calculus 2, Calculus 3, and Differential Equations. Each lecture is 2-4 hours long, works through extensive examples, and follows the pacing of a real university course.
His teaching style is methodical and warm. He works problems from setup to solution without skipping steps, explains why each technique works before applying it, and checks student understanding frequently. The production quality is simple — a classroom recording — but the instruction quality is exceptional.
The single most important thing to understand about Professor Leonard: his lectures are a primary resource, not supplementary watching. Students at universities with less effective instructors routinely use his playlists as their actual course instruction. He is not a complement to your textbook — he can be your instructor.
Who it is for:
- Self-learners studying calculus or differential equations without a course structure
- University students whose instructor is unclear and who need a reliable explanation source
- Anyone who wants complete course coverage with worked examples at a real course pace
What to watch out for: the videos are long. A typical Calculus 2 lecture is 3+ hours. Watch at 1.25x to 1.5x speed unless you are genuinely struggling with the material. Do not try to watch everything in one sitting — one lecture plus a problem-solving session is a better unit than three lectures back to back.
Where to start:
- If you are in Calculus 1: Lecture 1.1 Introduction to Limits
- If you need precalculus review first: his Precalculus playlist, starting with the algebra review
- If you are in Calculus 2: start from the integration techniques if you have derivatives, or Lecture 1 of the Calculus 2 playlist if starting the course fresh
blackpenredpen — The Problem Drilling Channel
blackpenredpen (Steve Chow) is the channel you open when you understand the theory but need to build computational fluency. The format is minimal: Steve at a whiteboard solving calculus and algebra problems in real time. His library covers hundreds of integration problems, differential equations, limits, and algebra challenges.
The channel's value is in pattern recognition. Integration technique selection — knowing when to use u-substitution versus integration by parts versus trigonometric substitution versus partial fractions — requires seeing enough varied examples that the patterns become automatic. No amount of conceptual understanding substitutes for that pattern practice, and blackpenredpen provides it.
His most-watched content:
- Integration by parts worked examples
- "Can you integrate all the way?" (marathon integration problems)
- The 100 integrals challenge videos
- Differential equations worked examples
- Calculus challenges from international competitions
Who it is for: students who have had calculus explained and now need to build speed and reliability through repetition. Best used in conjunction with Professor Leonard or a textbook — not as a standalone learning resource.
Not for: building initial conceptual understanding. If you watch blackpenredpen before understanding why integration by parts works, you will learn to imitate procedures without understanding them.
Numberphile — Mathematics for the Intellectually Curious
Numberphile (Brady Haran) is not a course — it is a magazine. The channel interviews mathematicians and asks them to explain interesting mathematical results, puzzles, and open problems to a general audience. Videos are 10-25 minutes and cover topics from prime numbers and the Riemann hypothesis to graph theory, combinatorics, and recreational mathematics.
The value of Numberphile is breadth and curiosity. Regular viewing builds a mental map of what mathematics actually contains — what mathematicians work on, what unsolved problems look like, how mathematical culture thinks. This matters because motivated learning is faster than obligated learning. Knowing that mathematics contains fascinating open problems, beautiful surprising results, and deep connections between seemingly unrelated areas sustains the motivation to keep working through difficult technique.
Who it is for: everyone with any interest in mathematics. Numberphile is not stratified by level — middle schoolers and professional mathematicians both find it engaging. It is also the channel most likely to show you something that makes you want to understand a topic you had previously found boring.
What it is not: a substitute for learning mathematics systematically. You cannot learn calculus from Numberphile. You can leave every video wanting to learn more.
Mathologer — Rigorous Proofs Made Accessible
Mathologer (Burkard Polster, Monash University) occupies a unique position: the channel produces mathematical proofs that are both accessible to non-specialists and genuinely rigorous. Most popularizations of mathematics either sacrifice rigor for accessibility or sacrifice accessibility for rigor. Mathologer does both well.
Polster is a professional mathematician, and his videos cover proofs of deep results — the irrationality of pi, visual proofs of Pythagoras's theorem, infinite series, the mathematics of music, and many others — with enough detail that you understand why the proof works, not just that it does. The production quality is thoughtful: equations are animated in a way that makes proof steps easy to follow.
Best videos to start with:
- "Why was this visual proof missed for 400 years?" (visual proof of Pythagoras)
- "What is the square root of 2?" (building toward irrationality)
- "Numberphile v. Math: the truth about 1+2+3+...=-1/12" (a careful correction of a famous claim)
- His series on Euler's identity and complex numbers
Who it is for: students who want to understand mathematical proofs rather than just use results, and general audiences interested in how mathematical reasoning works. The channel is also excellent for anyone who has learned undergraduate mathematics and wants to see the results they know proved rigorously but non-tediously.
Khan Academy — The Essential Foundation Layer
Khan Academy is not glamorous but it is indispensable. The coverage of pre-algebra through early calculus, statistics, and linear algebra is comprehensive, the exercises are well-designed, and the immediate feedback from practice problems makes it genuinely effective for building foundational knowledge.
Where Khan Academy excels: structured curricula for K-12 and early undergraduate mathematics, free exercises with immediate feedback, mastery tracking, and consistent explanation quality. Where it is weaker: depth beyond early undergraduate level, and building the kind of mathematical maturity that comes from struggling with non-routine problems.
For self-learners, the best use of Khan Academy: as a diagnostic and remediation tool. Before studying any advanced topic, run through the relevant Khan Academy unit's practice exercises to identify exactly which prerequisites are shaky. Fix those precisely rather than re-watching entire introductory courses.
For calculus, the Khan Academy exercises are a useful supplement to Professor Leonard's lectures. For statistics, Khan Academy covers the undergraduate basics (distributions, hypothesis testing, regression) well enough to use as a primary resource. For a roadmap that builds from Khan Academy foundations toward more advanced material, see learn statistics from YouTube.
MIT OpenCourseWare — University Course Recordings
MIT OpenCourseWare is not a YouTube channel in the conventional sense, but it is the most important free mathematics resource on the internet and many of its recordings live on YouTube. The relevant playlists for mathematics:
18.01 Single Variable Calculus — David Jerison's lectures cover derivatives and integration with MIT-level rigor.
18.02 Multivariable Calculus — Denis Auroux's version is well-organized and supported by complete problem sets.
18.06 Linear Algebra — Gilbert Strang's lectures are legendary. Strang has a gift for explaining linear algebra geometrically and connecting the theory to applications in science and engineering. The 2005 recordings are older but still the best free linear algebra course available. For a structured guide to using these recordings, see the MIT 18.06 linear algebra notes.
18.01, 18.02, and 18.06 problem sets and exams are available free at MIT OCW alongside the videos. These are the gold standard for self-assessment — if you can pass the same exams MIT students pass, you have covered the material.
Who it is for: serious self-learners who want university-level rigor and are willing to work through problem sets and exams, not just watch videos.
How Do You Actually Put These Channels Together?
A common mistake is watching multiple channels covering the same topic simultaneously, confusing notation differences for conceptual disagreements, and never drilling anything to fluency. The channels on this list serve different functions; the optimal stack assigns each channel to its function.
For calculus self-study:
- Watch the relevant 3Blue1Brown Essence of Calculus video to build intuition before each topic
- Watch Professor Leonard for systematic instruction with worked examples
- Use blackpenredpen for additional problem practice on techniques you find difficult
- Check Khan Academy when you hit a prerequisite gap
- Use MIT OCW problem sets for self-assessment
For exploring mathematics broadly:
Numberphile and Mathologer running in the background of your regular life — during meals, commutes, or exercise — is a low-cost way to maintain mathematical enthusiasm and expand your sense of what the subject contains. Do not count this as study time, but do not underestimate its effect on sustained motivation.
For linear algebra (which connects to calculus, statistics, and machine learning):
3Blue1Brown's Essence of Linear Algebra first for intuition, then MIT 18.06 with Gilbert Strang for the full course. See MIT 18.06 linear algebra notes for the structured path.
For additional problem sets at university level:
MIT OpenCourseWare Mathematics provides complete problem sets and exams for 18.01, 18.02, 18.06, and graduate mathematics courses — all free, and the best self-assessment tool for any self-learner studying from the channels above.
What Should You Actually Do With the Notes You Take?
Building a library of notes from these channels without a review system means watching a lot of high-quality content and retaining a fraction of it. The cognitive science on this is unambiguous: retrieval practice dramatically outperforms re-watching or re-reading. See the active recall techniques guide for the evidence behind this.
For mathematics specifically, retrieval practice means working problems from memory — not re-watching a technique, but attempting to execute it yourself on a blank page. The channels on this list provide instruction; the problems you work afterward are what produce retention.
The practical workflow: watch a lecture section, close the browser, try to work a problem using the technique you just saw, check your work, identify where you went wrong, watch the specific part of the lecture that addresses that gap, work another problem. Repeat. This is slower than passive watching and dramatically more effective.
For a complete framework for making YouTube learning systematic rather than ad hoc, the YouTube to notes complete guide covers the end-to-end process. The self-learner's toolkit expands this to cover mathematics alongside other disciplines.
The channels in this guide represent the best free mathematics education available anywhere — not just online. Gilbert Strang's linear algebra, Professor Leonard's calculus, and Grant Sanderson's visual intuition series are genuinely exceptional instruction. The only thing that separates watching them from knowing mathematics is the problem work that happens when the video ends.
Turn your math lecture notes into flashcards and recall questions automatically. Try Notiq free at notiq.study — import any YouTube lecture and get structured notes with active recall prompts in minutes.
