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It can be difficult to learn mathematics on your own from textbooks, and I often wish universities videotaped their mathematics courses and distributed them for free online. Fortunately, some universities do that (albeit to a very limited extent), and I hope we can compile here a list of all the mathematics courses one can view in their entirety online.

Please only post videos of entire courses; that is, a speaker giving one lecture introducing a subject to the audience should be off-limits, but a sequence of, say, 30 hour-long videos, each of which is a lecture delivered in a class would be very much on-topic.

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  • 6
    $\begingroup$ Some list can be fetched from the ancient post here:mathoverflow.net/questions/1714/best-online-math-videos $\endgroup$ – Unknown Feb 5 '11 at 19:00
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    $\begingroup$ +100 if I could. I always wanted to have them in summers. $\endgroup$ – Unknown Feb 5 '11 at 23:11
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    $\begingroup$ I'm voting to close this question as it is just a request for collating information that could be found and hosted elsewhere $\endgroup$ – Yemon Choi Feb 13 at 20:46

78 Answers 78

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Ted Chinburg has videos of his lectures for what is going on a 2 year course in algebraic number theory online( direct links to videos: semester 1, semester 2, semester 3, semester 4), and from there you can also get lectures from various seminars at Penn.

Also, there's the MSRI database for all the things that go on there, they're all over the website at each program's site.

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  • $\begingroup$ Thanks! I edit your post to include direct link to the video list of each semester; I hope you don't mind. $\endgroup$ – alex Feb 5 '11 at 22:59
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    $\begingroup$ Chalk and board presentation... Am I alone who can't stand them anymore, no matter the merit? $\endgroup$ – Tegiri Nenashi Feb 13 '11 at 2:22
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    $\begingroup$ You probably are! I can't stand anything other than chalk and board! $\endgroup$ – David FernandezBreton May 16 '12 at 22:22
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    $\begingroup$ Anyone know the status of these? I recently pointed a student to these, only to find all of the links were down. $\endgroup$ – Cam McLeman Jun 3 '14 at 14:20
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    $\begingroup$ @CamMcLeman I just attempted to open up the first video of semester one and it seems to be working fine now. $\endgroup$ – Alec Rhea Feb 5 '18 at 20:41
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77 videos on Category theory.

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  • $\begingroup$ what order should this stuff be watched in ? $\endgroup$ – galois Apr 22 '15 at 19:29
  • $\begingroup$ They have a link for the order on the webpage. Honestly I watched all of their videos but got sick of them pretty quickly. They aren't bad, but they aren't great to watch in one sitting either. $\endgroup$ – Chill2Macht Aug 15 '16 at 22:07
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    $\begingroup$ @William, I find their videos pretty dull and unfocused tbh $\endgroup$ – goblin Dec 7 '16 at 12:35
  • $\begingroup$ They certainly are not designed to be watched in one sitting! They are 10 minute, bite-sized videos. Brent Yorgey's has a Catsters guide where he suggests an order to watch them in. (He was trying to watch two per week.) $\endgroup$ – Simon Willerton Jul 30 '18 at 13:06
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The lecture videos of Introduction to Abstract Algebra, taught by Benedict Gross at Harvard, can be downloaded here.

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Here are some of my favorites :

  1. Sidney Coleman's Quantum Field Theory

  2. Shiraz Minwalla's String Theory

  3. MIT OCW

  4. Videos to short courses at some workshops can be found at IAS and MSRI

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For what it's worth, my own University of Toronto 2009 course on Algebraic Knot Theory.

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Algebraic topology by Prof. N J Wildberger of the School of Mathematics and Statistics, UNSW

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    $\begingroup$ I'd steer clear of these. Besides his nontraditional views, they're just not very good (they're elementary, not really very rigorous, and due to the above don't cover the same material as you'd see in a normal treatment of the material). $\endgroup$ – Julian Jul 21 '13 at 3:44
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    $\begingroup$ Being nontraditional isn't a bad thing. He clearly explains his approach and covers interesting, engaging content. I also don't think that an undergraduate algebraic topology course at the level he is going for (covering in fact a large chunk of material) needs to have ever thing detailed in a grad style level of rigor. Very few undergrads get most of the material he introduces. $\endgroup$ – Zach Haney Aug 9 '15 at 4:34
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Gilbert Strang's course on Linear Algebra at MIT.

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Miles Reid's lectures on Algebraic Geometry and Algebraic Surfaces.

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  • $\begingroup$ Are they as much filled with side blows as his book? $\endgroup$ – darij grinberg Feb 7 '11 at 18:16
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    $\begingroup$ I like very much his books (including side blows). The lectures are witty.. $\endgroup$ – pi2000 Feb 7 '11 at 18:45
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    $\begingroup$ how do I view these lectures? I'm unable to open them. $\endgroup$ – john Dec 30 '11 at 12:02
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    $\begingroup$ You can watch them with Windows Media Player. $\endgroup$ – pi2000 Jan 15 '12 at 9:43
  • $\begingroup$ thanks. can one download? $\endgroup$ – user 1 Jan 11 '15 at 16:52
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The Fourier Transform and Its Applications, taught by Brad Osgood at Stanford. Lecture notes here.

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Coursera offers not just the videos, but entire courses: I'm currently following Probabilistic Graphical Models, which has weekly exercises and programming projects (which are marked by an autograder), plus community discussion boards and a wiki for collaborating with other students pursuing the course at the same time. Although you could presumably just create an account towards the end of term, archive off all the videos and then watch them at your leisure rather than trying to match the (reasonably demanding) schedule.

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    $\begingroup$ I took a Cryptography course there and it was good! Also, it seems like it is growing quite fast with more and more courses added. Definitely recommended to take a look. $\endgroup$ – Ng Yong Hao Jul 19 '12 at 2:29
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Geometric Representation Theory Seminar - Fall 2007 by John Baez and James Dolan

This fall, our seminar is tackling geometric representation theory — the marvelous borderland where geometry, groupoid theory and logic merge into a single subject. The seminar is jointly run by John Baez and James Dolan. Besides explaining well-known stuff, we'll report on research we've done with Todd Trimble over the last few years.

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  • $\begingroup$ Is anyone else having trouble getting audio from the videos? I'm pretty sure that the audio worked just fine for me back in '07 when I originally watched these, but now I don't hear anything. I tried streaming the videos in Chrome, in Firefox, downloading and opening with the standalone QuickTime application, as well as opening with VLC. The video shows up just fine but no audio from any of them. Running Windows 7. $\endgroup$ – Dan Kneezel Sep 14 '11 at 21:08
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At my YouTube site Insights into Mathematics (http://www.youtube.com/user/njwildberger?feature=mhee) I have playlists on

Rational Trigonometry

Linear Algebra

Math Foundations

History of Mathematics

Universal Hyperbolic Geometry

Algebraic Topology (this was mentioned above)

Elementary Mathematics (K-6)

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This might not fulfill the requirements of being a mathematics course, but I think that it is close enough. In 2006 the Clay Mathematics Institute hosted a Summer School in Arithmetic Geometry. The videos are great if you have a solid foundation in algebraic geometry already and wish to continue in the direction of arithmetic geometry .

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Carmen Rovi's DailyMotion website has 160+ videos on the topology of manifolds in general, and surgery theory in particular, of lectures either given at the University of Edinburgh or at conferences elsewhere. Some of the lectures are courses, and some are one-offs. The November 2012 Edinburgh course of 12 lectures by Rob Kirby on high-dimensional manifold topology is a particular highlight.

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Introduction to Algorithms, taught at MIT by Charles Leiserson and Erik Demaine.

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Graduate course on Computational Complexity and Quantum Compuation given at Cambridge University by Timothy Gowers.

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Plenty of short courses given at workshops can be found in the Newton Institute archive at newton.cam.ac.uk.

Here is the link: http://www.newton.ac.uk/webseminars/

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MIT's Open Courseware is a very good source of this http://ocw.mit.edu/index.htm.

I personally recommend the differential equations course they have.

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David Gay gave a graduate course on Morse Theory at the University of Georgia this spring and the videos are compiled together in a YouTube playlist at Morse Theory: UGA 2012. Notes for his course are also online on the course website.

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Multivariable Calculus by Edward Frenkel at Berkeley:

http://www.youtube.com/view_play_list?p=07CF868151394FE3

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The entire master course at ICTP:

http://www.ictp.tv/diploma/index2.php?activityid=MTH

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Eleven lectures by Amritanshu Prasad on representation theory, the first two on generalities, the next five deal with representations of symmetric groups in the semisimple case, going up to the calculation of character values using Frobenius' formula. The next two deal with polynomial representations of GL(m). The last two are on the hook-length formula and Frobenius's characteristic function respectively. Assignments and notes are available on the course website for the first seven lectures.

This content forms the bulk of a book titled "Representation Theory: A Combinatorial Viewpoint" (Cambridge University Press, 2015) by the lecturer.

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Here is an ongoing series of videos covering Point-Set Topology that is planned to continue indefinitely.

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  • $\begingroup$ Not going to continue? $\endgroup$ – Max Aug 13 '18 at 16:30
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A course on Lie groups taught by Erik van den Ban at Utrecht University.

The parent directory contains a few more bachelor level courses, but these are in Dutch.

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The San Francisco State University hosts large number of course videos on various subjects including:

$\cdot$42 videos on Coxeter Groups

$\cdot$41 videos on Discrete Geometry

$\cdot$18 on Dynamical Systems

$\cdot$16 on Lie Algebras

$\cdot$43 on Matroid Theory

$\cdot$28 on Real Analysis I and II $\ldots$

All you need to do is click on the drop down menu "List all courses".

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Lectures on Real Analysis, from Bilkent University (Assoc. Prof. Dr. Alexandre Gontcharov): http://video.bilkent.edu.tr/regenerated_pages/Mathematics_ms.html

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The Eilenberg Lectures at Columbia. So far, the topics have been:

  • Benedict Gross, on number theory and representation theory
  • Edward Frenkel, on Langlands program and quantum field theory
  • Sergiu Klainerman, on the mathematical theory of general relativity
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Master Class on Wall-Crossing. Lectures given by Maxim Kontsevich.

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