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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
    Commented Feb 5, 2011 at 19:00
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    $\begingroup$ +100 if I could. I always wanted to have them in summers. $\endgroup$
    – Unknown
    Commented Feb 5, 2011 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
    Commented Feb 13, 2019 at 20:46
  • $\begingroup$ I add as comment a collection of 19 videos for the course Introduction to Loop Quantum Gravity by professor Carlo Rovelli, it's from the official YouTube chanell Quantum Gravity at CPT Marseille. I don't know these videos of Physics, but I've read several scientific dissemination books about loop quantum gravity, and this is a topic with very interesting mathematics. I hope don't bother with my comment, many thanks. $\endgroup$
    – user142929
    Commented Dec 30, 2022 at 18:14

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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 master course by Benoit Fresse on operads and Grothendieck-Teichmüller groups (in french), at Université Lille 1, given this semester (Winter 2012). The course has a really nice and complete introduction to the subject. The principal reference is a preprint (in english) writed by Fresse.

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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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The Hausdorff Center for Mathematics in Bonn has a lot of videos online on their youtube channel.

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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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Very, very introductory lectures in complex analysis: http://adamglesserf09math481.wordpress.com/page/3/

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Eight recent lectures by Emmanuel Candes on compressed sensing are linked to from here: http://www.newton.ac.uk/programmes/INI/iniw04p.html

More generally, the Newton Institute has been making a large archive of talks available.

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If you happen to know Italian, on Massimo Gobbino's home page there are videos (tablet pc screencasts + audio) of several courses (Calculus I and II for engineers, honors calculus/analysis) and lots of high-school Math Olympiad training material.

Highly recommended: I find tablet screencasts an excellent medium, and on top of that Massimo is a great teacher.

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This collection has a mixture of French and English, but here you can find videos given at the Bicentennial of the Birth of Evariste Galois (Bicentennaire de la naissance d'Evariste Galois) at the Institut Henri Poincaré in Paris.

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Here you find the videos of the conference "Orbits, Primitive Ideals and Quantum Groups", Weizmann Institute, Israel.

The videos are about:

  1. Finite W-algebras, by I. Losev
  2. Adapted pairs in a biparabolic subalgebra, by F. Fauquant-Millet
  3. Hopf Algebra and Root Systems, by H-J Schneider
  4. Quiver Grassmannians, by M. Reineke
  5. Quantum quasi-Shuffles, by M. Rosso
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Steven Miller's ongoing lectures on complex analysis are very stimulating

http://www.youtube.com/channel/UCZ_iaWQx0NpVVKvfT9tuCOg http://web.williams.edu/Mathematics/sjmiller/public_html/

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Partially orderdered sets course by William T. Trotter: http://posets.tcs.uj.edu.pl/archive/.

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The courses of the summer school Poisson 2016 (that took place in Geneva) are available online.

The courses are:

Even the lectures of the conference Poisson 2016 (that took place in Zurich) are available online.

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Here is a summer school on Berkovich spaces

http://www.diffusion.ens.fr/index.php?res=cycles&idcycle=490

(there are more courses at http://www.diffusion.ens.fr/ but unfortunately they are not broken into categories; one has to fish for mathematical courses more or less via manual search)

The following links lead to lectures in Russian.

http://bogomolov-lab.ru/SHKOLA/courses.html

a summer school for undergraduates (topics include number theory, metric geometry, anabelian geometry)

http://www.mathnet.ru/php/presentation.phtml?&option_lang=eng

has a huge collection of videos, including recordings of summer school courses both for undergraduates and graduates.

http://www.lektorium.tv/ is an example of a similar effort.

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Here is a good series of video lectures from IIT Kharagpur:

https://nptel.ac.in/courses/122104017/

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CIRM has a collection of video courses called CARMIN.TV

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My lectures on exterior differential systems and the lecture notes.

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

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
    Commented Feb 6, 2011 at 1:32
  • $\begingroup$ Very good collection, most of geometry related links in other answers can be found here in one place $\endgroup$
    – jouge
    Commented Nov 3, 2017 at 6:27
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There are lots of good math courses available here.

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  1. Here are video lectures from Taiwan Mathematics School; some of them were delivered in Mandarin: https://sites.google.com/view/tms-home/media-archive?authuser=0

  2. The following courses (all in Mandarin) were taught by Professor Chen-Yu Chi at National Taiwan University:

  • Calculus 1 & Calculus 2. The topics in these courses are more like "advance calculus", not the usual calculus content.
  • Analysis 1 & Analysis 2. The topics include complex analysis, de Rham cohomology, functional analysis, Lebesgue integral, smooth manifold, measure theory, ODE, singular homology, topology.
  • Algebraic Topology. The main textbook is Algebraic Topology by Edwin H. Spanier.
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I recently found the YouTube channel of the university of Uppsala (Uppsala Algebra : https://www.youtube.com/channel/UCPWnhR29VHTAk7rZUEDQdDQ/playlists)

It contains mostly courses by Walter Mazorchuk on representation theory of finite groups, Lie algebras and the category O (and on linear algebra which if of less interest for me) and a course on commutative algebra and algebraic geometry by Seidon Alsaody.

I mostly watched the courses by W. Mazorchuk and they are very good.

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A series of lectures on symmetric functions, Macdonald polynomials and double affine Hecke algebras (videos and notes) organised in 2021 by R Venkatesh of the Indian Institute of Science; see also its youtube playlist, the syllabus, and the ensuing conference on applications of Macdonald polynomials (videos and slides)

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All Master Classes given at QGM and the previous CTQM are online here: http://qgm.au.dk/video/ and here: http://www.ctqm.au.dk/news/special_events.html.

It is quite an extensive list of 17 Master Classes in total. The courses are on a variety of different subjects, given by among others Maxim Kontsevich, Nicolai Reshetikhin, Nigel Hitchin, Vaughan Jones, Tom Mrowka, Gregor Masbaum, Dylan Thurston, Robert Penner and many more.

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My course lecture videos:

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My videos about the application of mathematics in physics are in

https://www.aparat.com/Meisami67

Also there are videos which contain intriguing short questions and their answers.

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the link by Elohemahab Solomon some lectures on lie algebra

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Here is a good resource of video lectures conducted by IIT's & IISc's:

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There is also a YouTube channel:

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