Här är en stor samling länkar till både enstaka föreläsningar och hela kurser i massor av olika områden av matematiken. De är inte indelade efter tema, men jag har strukit under ämnet för varje länk så att det ska gå snabbt och lätt att ögna igenom listan och se vad den innehåller. Alla som har fler tips på liknande länkar får gärna dela med sig av dem här i tråden! (Men tänk på att inte dela länkar som strider mot Pluggakutens regler.)

Först en mjukstart:
* En kort historik av John Dersch (Grand Rapids Community College): The History of Mathematics in 50 Minutes...

* ...och en längre introduktion till matematikens värld, med historiskt perspektiv: Fem föreläsningar av Keith Devlin (Stanford University), Mathematics: Making the Invisible Visible.

* Samt tre genomgångar på gymnasienivå av hur följande saker hänger ihop på ett mer övergripande plan, av Gilbert Strang (MIT Open Course Ware):
1. The Big Picture: Calculus
2. The Big Picture: Derivatives
3. The Big Picture: Integrals

* Ted Chinburg's Lectures on Algebraic Number Theory
http://www.math.upenn.edu/~ted/620F09/h … edTab.html
http://www.math.upenn.edu/~ted/620S10/h … edTab.html
http://www.math.upenn.edu/~ted/721S11/h … edTab.html

* Lectures by Adrian Banner of Princeton University (de första två videoserierna har gjorts privata på YouTube, men jag låter länkarna ligga kvar ifall att de görs offentliga igen i framtiden):
Calculus I: http://bit.ly/18IN4AE
Calculus II: http://bit.ly/19JZFnq
Calculus III: Multivariable Calculus: http://bit.ly/1b5XhXK
Linear Algebra: http://bit.ly/1b5XtGs

* Eugenia Cheng and Simon Willerton of the University of Sheffield, a.k.a. The Catsters' Video Lectures on Category Theory: http://www.youtube.com/TheCatsters

* Abstract Algebra lectures by Prof. Benedict Gross, Harvard: http://www.extension.harvard.edu/open-l … ct-algebra

* Lectures on Complex Analysis by Tibra Ali (followed by few more lectures on different topics): http://pirsa.org/C14032

* Lectures on Complex Analysis by Prof. P. A. S. Sree Krishna: http://textofvideo.nptel.iitm.ac.in/vid … =111103070

* Lectures by Denis Dalidovich on Variational Calculus and Gaussian Integrals (followed by few more lectures on different topics): http://pirsa.org/C13030

* Lectures on Abstract Algebra: http://www.youtube.com/playlist?list=PLF379B0552AD17780

* Lecture Videos from the program on Topology and Field Theories: http://www3.nd.edu/~stolz/field_theory_videos.html

* Lectures on Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur: http://www.youtube.com/course?list=EC5022A32B9BCFE3E4

* Geometric Representation Theory by John Baez and James Dolan: http://math.ucr.edu/home/baez/qg-fall2007/

* Algebraic topology by Prof. N. J. Wildberger of the School of Mathematics and Statistics, UNSW: http://www.youtube.com/playlist?list=PL6763F57A61FE6FE8

* Miles Reid's lectures on Algebraic Geometry and Algebraic Surfaces:
http://www.mathnet.or.kr/new_VOD/sub1.p … project%29
http://vod.mathnet.or.kr/sub1.php?key_s … project%29

* Videos from Summer School of Clay Mathematics Institute on Arithmetic Geometry (You should have a solid foundation of algebraic geometry in order to comprehend these videos): http://www.uni-math.gwdg.de/aufzeichnun … merSchool/

* A mini course on Additive Combinatorics taught at IAS by Boaz Barak, Luca Trevisan, and Avi Wigderson: http://www.cs.princeton.edu/theory/inde … Minicourse

* Lectures on Real Analysis, from Bilkent University by Prof. Alexandre Gontcharov: http://courses.bilkent.edu.tr/course_vi … ourseid=12

* Lectures on Real Analysis by Prof. S.H. Kulkarni, Department of Mathematics, IIT Madras: http://textofvideo.nptel.iitm.ac.in/vid … =111106053

* Point Set Topology videos:
https://www.youtube.com/playlist?list=P … 65866F3F31
http://bit.ly/15QrBVP

* Sets, Counting, and Probability by Paul G. Bamberg, Harvard University: http://www.extension.harvard.edu/open-l … robability

* The Fourier Transform and Its Applications, taught by Brad Osgood at Stanford: http://see.stanford.edu/see/lecturelist … f45c0ee091

* Courses by Stephen Boyd at Stanford:
Introduction to Linear Dynamical Systems - http://see.stanford.edu/see/lecturelist … a8bfcfe5f6
Convex Optimization I - http://see.stanford.edu/see/lecturelist … 4129597c87
Convex Optimization II - http://see.stanford.edu/see/lecturelist … 9dc8c7cf7a

* Professor Gilbert Strang's course on Linear Algebra at MIT: http://ocw.mit.edu/courses/mathematics/ … /index.htm

* Differential Equations, taught by Arthur Mattuck at MIT: http://videolectures.net/mit1803s06_dif … equations/

* Video lectures for elementary differential equations with linear algebra: http://www.math.armstrong.edu/faculty/hollis/DEvideos/

* Lectures on key concepts of calculus: http://www.online.math.uh.edu/HoustonACT/videocalculus/

* A series of video lectures on Calculus I from University of Missouri - Kansas City: https://www.youtube.com/playlist?list=P … 24459D23D9

* College Algebra taught by Professor Richard Delaware, which consists of 40 video lectures emphasizing the concepts of college algebra: http://www.infocobuild.com/education/au … -umkc.html

* More lectures on Real Analysis by Professor Francis Su Harvey, Mudd College (The video quality of the lectures are poor): http://www.youtube.com/watch?v=sqEyWLGv … 9EB907EDAF

* MIT OCW - Calculus Revisited: Multivariable Calculus. This course is a study of the calculus of functions of several variables (vector arithmetic and vector calculus): http://www.infocobuild.com/education/au … itocw.html

* Differential Geometry lectures by Prof. N. J. Wildberger: http://www.youtube.com/playlist?list=PL … fnkUFWkKtP

* Very quick graduate Probability Theory: https://www.youtube.com/view_play_list? … 1A3F5DB5E4

* Very good webpage for many courses by A. D. Snider: http://ee.eng.usf.edu/people/snider2.html

* Numerical Methods at University of South Florida and Arizona State University: http://nm.mathforcollege.com/videos/

* ZFC Set Theory (More oriented around Lambda Calculus and Computer Science. Sequence of Lectures is in arbitrary order, in the playlist): http://www.youtube.com/watch?v=xalFtiY- … A6D2DB2FBD

* GRASP lecture series from University of Texas at Austin, has tons of lecture videos on many topics: http://www.ma.utexas.edu/users/benzvi/GRASP.html

* Lectures for seven courses  are available (Single Variable Calculus, Multivariable Calculus, Differential Equations, Statistical Methods, Fundamentals of Mathematics, Functions of a Complex Variable, and Introduction to Number Theory).  Lectures on Precalculus is being developed: http://www2.latech.edu/~schroder/videos.htm

* Intro to differential forms (A good foundation of vector calculus is needed): http://www.youtube.com/playlist?list=PL … ature=plcp

* Maths and Mathematica - Pedro Vieira (along with some other lectures): http://pirsa.org/C12039

* Lectures for Differential Topology:
http://vimeo.com/29434116
http://vimeo.com/29434762
http://vimeo.com/29436993

* Measure and Integration series from NPTEL resources: http://textofvideo.nptel.iitm.ac.in/vid … =111101005 (Book to be read along with the videos : http://books.google.ie/books?id=CIsOVPm … navlinks_s).

* Functional Analysis Lectures by Prof. P.D. Srivastava, IIT Kanpur: http://textofvideo.nptel.iitm.ac.in/vid … =111105037

* Calculus of Variations (20 lectures) and Integral Equations (20 lectures), by Dr. Malay Banerjee & Prof. D. Bahuguna, IIT Kanpur: http://nptel.iitm.ac.in/courses/111104025/

* Mathematical Logic lectures by Prof. Arindama Singh, IIT Madras: http://nptel.iitm.ac.in/courses/111106052/

* Ett gäng länkar med blandat innehåll:
http://www.infocobuild.com/education/au … atics.html
http://videolectures.net/Top/Mathematics/
http://freevideolectures.com/Subject/Mathematics
https://www.msri.org/web/msri/online-videos
http://www.onlinecollege.org/2009/10/19 … ath-geeks/
http://freescienceonline.blogspot.in/20 … tures.html
http://www.puremaths.info/video-lecture … thematics/
http://www.math.umn.edu/~adams/FM500x/
http://www.pinterest.com/mathematicsprof/
http://mathoverflow.net/questions/1714/ … ics-videos
http://mathoverflow.net/questions/54430 … e-for-free
http://www.refseek.com/directory/educational_videos.htm
http://nptel.ac.in/courses.php?disciplineId=111
http://ocw.mit.edu/courses/audio-video- … athematics
https://video.ias.edu/sm

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Lista är saxad med några mindre ändringar från en anteckning på Facebooksidan Science and Mathematics. Alla länkar jag har kollat fungerar och stämmer, men om någon skulle hitta en död länk eller en som inte stämmer överens med sin beskrivning så säg gärna till så att jag kan ändra eller ta bort länken.