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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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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
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+100 if I could. I always wanted to have them in summers. –  Unknown Feb 5 '11 at 23:11
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Please, share these videos also on MathOnline, in the video section! :-) mathonline.andreaferretti.it –  Andrea Ferretti Apr 8 '11 at 11:39

72 Answers 72

The lecture videos of Introduction to Abstract Algebra, taught by Benedict Gross at Harvard, can be downloaded here.

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

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Gilbert Strang's course on Linear Algebra at MIT.

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

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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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David Forney's course on Coding Theory at MIT.

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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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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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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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Why don't you make that a hyperlink? –  Quinn Culver Jul 22 '11 at 2:15

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
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You probably are! I can't stand anything other than chalk and board! –  David FernandezBreton May 16 '12 at 22:22
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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 at 14:20

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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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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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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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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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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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

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

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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: http://www.uccs.edu/math/student-resources/video-course-archive.html

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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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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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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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