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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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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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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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Master Class on Wall-Crossing. Lectures given by Maxim Kontsevich.

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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
    Commented Nov 13, 2018 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
    Commented Nov 14, 2018 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
    Commented Feb 13, 2019 at 13:54
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    $\begingroup$ Dear Professor Roland, thanks for the updates. $\endgroup$
    – Idonknow
    Commented Feb 13, 2019 at 14:17
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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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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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  • $\begingroup$ Link is now broken $\endgroup$
    – Jules Lamers
    Commented Nov 14, 2023 at 22:44
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Sets, Counting, and Probability, taught by Paul Bamberg at Harvard.

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

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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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    $\begingroup$ The link seems to be broken, but the author (last seen over 3 years ago) might have meant to link here: math.sfsu.edu/courseofferings.php $\endgroup$
    – Todd Trimble
    Commented Oct 19, 2015 at 11:50
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    $\begingroup$ I am not seeing any video links on the website, but I suspect a few of these are by Federico Ardila and can be found on YouTube by searching for the author and the name of the course. $\endgroup$
    – darij grinberg
    Commented Aug 15, 2020 at 16:56
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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
    Commented Feb 5, 2011 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
    Commented Feb 7, 2011 at 0:48
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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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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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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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Thirty lectures from the course Wavelet Theory given at the University of Maryland by John Benedetto.

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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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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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  • $\begingroup$ Last two links now broken $\endgroup$
    – Jules Lamers
    Commented Nov 14, 2023 at 22:47
  • $\begingroup$ Seem to have been migrated to youtube. $\endgroup$
    – Marc Palm
    Commented Jan 10 at 18:42
  • $\begingroup$ youtube.com/… $\endgroup$
    – Marc Palm
    Commented Jan 10 at 18:48
  • $\begingroup$ youtube.com/… $\endgroup$
    – Marc Palm
    Commented Jan 10 at 18:49
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Thematic Program on Topology and Field Theories, Summer 2012, 34 Lectures.

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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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  • $\begingroup$ The link is broken. $\endgroup$
    – Ben McKay
    Commented Jul 3, 2021 at 13:49
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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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Joyal's mini-course on topos theory at IHÉS:

Clicky

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The Arizona Winter School short course videos have been very helpful.

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Just found the very stimulating lectures by prof Alan Huckleberry at Bremen;

Differential geometry

Complex Analytic and Algebraic Geometry

Foundations of Mathematical Physics

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

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