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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Some list can be fetched from the ancient post here:mathoverflow.net/questions/1714/best-online-math-videos –  Unknown Feb 5 '11 at 19:00
+100 if I could. I always wanted to have them in summers. –  Unknown Feb 5 '11 at 23:11
Please, share these videos also on MathOnline, in the video section! :-) mathonline.andreaferretti.it –  Andrea Ferretti Apr 8 '11 at 11:39

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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Chalk and board presentation... Am I alone who can't stand them anymore, no matter the merit? –  Tegiri Nenashi Feb 13 '11 at 2:22
You probably are! I can't stand anything other than chalk and board! –  David FernandezBreton May 16 '12 at 22:22
Anyone know the status of these? I recently pointed a student to these, only to find all of the links were down. –  Cam McLeman Jun 3 '14 at 14:20
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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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For what it's worth, my own University of Toronto 2009 course on Algebraic Knot Theory.

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

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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). –  Julian Jul 21 '13 at 3:44

The Fourier Transform and Its Applications, taught by Brad Osgood at Stanford.

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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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I like very much his books (including side blows). The lectures are witty.. –  pi2000 Feb 7 '11 at 18:45
how do I view these lectures? I'm unable to open them. –  john Dec 30 '11 at 12:02

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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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. –  Ng Yong Hao Jul 19 '12 at 2:29

Three courses by Stephen Boyd at Stanford: Introduction to Linear Dynamical Systems, Convex Optimization I, and Convex Optimization II.

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

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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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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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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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The entire master course at ICTP:

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

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Lectures on Real Analysis, from Bilkent University (Assoc. Prof. Dr. Alexandre Gontcharov): http://courses.bilkent.edu.tr/videolib/course_videos.php?courseid=12

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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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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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Multivariable Calculus by Edward Frenkel at Berkeley:

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

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says "404 not found" for me –  Dima Sustretov Apr 18 '12 at 13:57
Try this one qgm.au.dk/video/mc/wall-crossing –  Dragos Fratila Jan 7 '13 at 9:55

Sets, Counting, and Probability, taught by Paul Bamberg at Harvard.

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