Question

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.

Answer 1

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

Answer 2

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.

Answer 3

The Eilenberg Lectures at Columbia. So far, the topics have been:

• Benedict Gross, on number theory and representation theory
• Edward Frenkel, on Langlands program and quantum field theory
• Sergiu Klainerman, on the mathematical theory of general relativity

Answer 4

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

Answer 5

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

Answer 6

My school, the University of Colorado at Colorado Springs, has a video course archive on some subjects. 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/vidarchive.html

Answer 7

The University of South Florida has a whole series of lectures devoted to numerical methods here: http://numericalmethods.eng.usf.edu/videos/

Answer 8

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

Answer 9

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.

Answer 10

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

Answer 11

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.)

Answer 12

A course on Lie groups taught by Erik van den Ban at Utrecht University.

The parent directory contains a few more bachelor level courses, but these are in Dutch.

Answer 13

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/

Answer 14

Nine lectures by me on representation theory, the first two on generalities, the next five deal with representations of symmetric groups in the semisimple case, going up to the calculation of character values using Frobenius' formula. The last two deal with polynomial representations of GL(m). Assignments and notes are available on the course website.

Answer 15

Andrew Ng at Stanford has a machine learning course. (This is related to, but not the same as, the Stanford/Coursera online machine learning course.)

Answer 16

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:

• Poisson and Symplectic Geometry of Moduli Spaces of Flat Connections, by Anton Alekseev
• Poisson Geometry, by Rui Loja Fernandes
• Lie Groupoids and Multiplicative Structures, by Henrique Bursztyn
• Cluster Algebras and Compatible Poisson Structures, by Michael Gekhtman

Answer 17

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.

Answer 18

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.

Answer 19

Here is an interesting choice

isallaboutmath.com

Answer 20

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.

Answer 21

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.

Answer 22

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 catergories; 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://blip.tv/pifagorov/ and http://www.lektorium.tv/ are examples of a similar effort

Answer 23

List of my collection: http://res-mod.blogspot.com/p/online-course-video.html

Answer 24

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.

Answer 25

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.

Answer 26

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

Answer 27

HERE IT IS A GOOD RESOURCE OF VIDEO LECTURES CONDUCTED BY IIT'S & IISc'S. http://nptel.iitm.ac.in/courses.php?disciplineId=111

YOUTUBE CHANNEL IS ALSO THERE,

http://www.youtube.com/user/nptelhrd

Answer 28

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

Answer 29

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

Answer 30

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