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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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    $\begingroup$ 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 '19 at 20:46

79 Answers 79

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A bit borderline since its only nine lectures, but a mini course on Additive Combinatorics taught at IAS by Boaz Barak, Luca Trevisan, and Avi Wigderson.

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MSRI's online videos. These do not consist of courses, but each semester is themed so the videos offer good exposure to many areas of current research.

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    $\begingroup$ This duplicates part of Verma (on the other hand, Hill had a better MSRI link at first). What should I do...? $\endgroup$ – David Corwin Jan 6 '13 at 23:01
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Sets, Counting, and Probability, taught by Paul Bamberg at Harvard.

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Search iTunesU for "Mathematics": It turns up many courses (I couldn't see how to count them easily), including the Gilbert Strang course already mentioned.

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  • $\begingroup$ Right, I am aware that many of these would already be on iTunesU. However, many are not, and I was thinking it would quite useful to have all of them in one place. $\endgroup$ – alex Feb 5 '11 at 18:57
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Differential Equations, taught by Arthur Mattuck at MIT.

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  • $\begingroup$ That's Arthur Mattuck. $\endgroup$ – KConrad Feb 7 '11 at 0:48
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I would recommend those from Simon's Center for Geometry and Physics. Here is a list of all workshops at SCGP.

Videos from all of their workshops are available online. Here are all talks from Random Tilings Workshop last February.

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Twenty-four lectures from a course on algebraic combinatorics, taught by James Propp.

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There are many good quality math lectures (mostly in Russian but sometimes in English) http://www.lektorium.tv/ they are grouped by courses (for example http://www.lektorium.tv/course/?id=22876)

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I am teaching a course on "Free Probability Theory" this term (winter term 2018/19). The videos will appear progressively here.

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  • $\begingroup$ Dear Professor Roland Speicher, I started watching your Free Probability Theory's lecture recently. May I know whether there is any lecture notes for your course so that I can review after class? Thanks. $\endgroup$ – Idonknow Nov 13 '18 at 6:14
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    $\begingroup$ @Idonknow The lectures are based on my two monographs on this subject, for which you can find pdf files on my homepage (math.uni-sb.de/ag/speicher/speicher_publikationenE.html) $\endgroup$ – Roland Speicher Nov 14 '18 at 22:50
  • $\begingroup$ @Idonknow There are now also scans of my handwritten notes for the course available at rolandspeicher.com/lectures/fpt1819 $\endgroup$ – Roland Speicher Feb 13 '19 at 13:54
  • $\begingroup$ Dear Professor Roland, thanks for the updates. $\endgroup$ – Idonknow Feb 13 '19 at 14:17
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LMS Durham Symposia have archive of videos online which can be found at http://www.maths.dur.ac.uk/events/Meetings/LMS/

For example, 2009 conference on model theory of fields has videos of the talks by Hrushovski, Kazhdan, Macintyre and Zilber, among the others.

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A real analysis course from Harvey Mudd College. An early course for math majors, so it also covers a bit of good proof writing techniques, induction proofs, logic, etc.

(Disclaimer: Filmed by me. So you know who to blame for the bad camera work.)

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Might as well plug my own course on Diophantine Geometry. It's in Portuguese, so that will restrict the audience a bit, but I am having fun and it's nearly finished (last class on Nov 8th 2011). IMPA has a bunch of other videos as well, just follow the links.

http://video.impa.br/index.php?page=programa-de-doutorado-2011-geometria-diofantina

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The courses of the summer school Poisson 2012 (that took place in Utrecht), as well as lectures of the conference that followed, are available online: http://www.youtube.com/user/poissonutrecht

The courses are:

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Thematic Program on Topology and Field Theories, Summer 2012, 34 Lectures.

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Two courses by Gilbert Strang: Computational Science and Engineering I and Mathematical Methods for Engineers II.

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David Forney's course on Coding Theory at MIT.

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Thirty lectures from the course Wavelet Theory given at the University of Maryland by John Benedetto.

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Here a summer school on representation theory for $SL_2(\mathbb{R})$:

http://www.math.utah.edu/vigre/minicourses/sl2/

Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry":

http://www.uni-math.gwdg.de/aufzeichnungen/SummerSchool/

Algebraic Quantum Field Theory - the first 50 Years

http://www.uni-math.gwdg.de/aufzeichnungen/AQFT50/

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My rather standard course on ordinary differential equations, at http://drorbn.net/index.php?title=12-267.

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If it's not too gauche to plug my own course at CMU,

23 lectures on Analysis of Boolean Functions (one lecture by John Wright):

http://www.cs.cmu.edu/~odonnell/aobf12/

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The videos of Mike Freedman lectures on the topology of 4-manifolds, broadcasted from UC Santa Barbara: Freedman's Lectures

Also other videos on 4-manifolds and related topics given at MPIM during the 4-manifold semester in 2013: MPIM lectures

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The YouTube channel of The Institute of Mathematical Sciences, Chennai has several such courses, such as "Effective methods in Diophantine Analysis" by Yuri Bilu, "Soergel modules and Kazhdan-Lusztig theory" by Ben Elias, a course on von Neumann algebras by Sunder, Lie groups by Raghunathan and many more:

http://www.youtube.com/user/matsciencechannel/playlists

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A Computability Theory course by Bart Kastermans. These lectures followed Robert Soare's new book, which is not yet published, so they are temporarily behind a password; however, Bart's website indicates that the passwords are available upon request. (In any case they will be open to the public eventually, I think.)

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Andrew Ng at Stanford offers videos of various courses.

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A great collection of combinatorics videos

Igor Pak’s Collection of Combinatorics Videos

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My alma mater, the University of Colorado at Colorado Springs, has a video course archive on some subjects (mostly undergraduate). These include

Calculus I, II, III

Differential Equations (undergrad and grad)

Linear algebra (undergrad and grad)

Discrete Math (undergrad)

Algebra (elementary and abstract)

Analysis (Real, Functional, but no Complex)

Statistics (graduate)

Geometry (mostly Euclidean)

There are several more.

For each class here, the entire semester was recorded. To download the videos, you have to create an account, which merely requires a name and email address.

Here's the webpage: https://www.uccs.edu/math/vidarchive.html

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For elementary courses, say up to first year undergraduate or so, Khan Academy has a wide range of courses on maths (some of which are listed under computer science or physics).

For graduate courses, several answers have mentioned MSRI and/or the Hausdorff institute but the Fields Institute video archive deserves a mention as well. The archive does no go back very far, but there are some excellent courses at various levels. (Search for the word "course" on the linked page).

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nice videos about Quantum Mechanics (By J.J.Binney -Oxford), total 27 videos with about 1 hour duration, and QFT (By David Tong - Cambridge). Those videos about QM are really great here.

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There are lots of links to various pages filled with online video lectures here:

http://www.ims.cuhk.edu.hk/geometry/

Go to "Links" on the left hand side.

Some of the links are broken or out of date, but there's still a ton of good stuff here.

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  • $\begingroup$ Here is the direct link: ims.cuhk.edu.hk/geometry/links.htm $\endgroup$ – mathphysicist Feb 6 '11 at 1:32
  • $\begingroup$ Very good collection, most of geometry related links in other answers can be found here in one place $\endgroup$ – jouge Nov 3 '17 at 6:27
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The University of South Florida has a whole series of lectures devoted to numerical methods here: http://numericalmethods.eng.usf.edu/videos/

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