Video Lectures for Upper-Level Mathematics

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The discussion focuses on sourcing video lectures for upper-level mathematics courses, specifically avoiding introductory topics like Calculus and basic Linear Algebra. Participants share various links to courses, including Algebra and Algebraic Number Theory by Ted Chinburg and Real Analysis from UCCS, while emphasizing the need for quality content. There is a desire for recommendations on advanced topics such as Galois Theory, Category Theory, and Topology. Some users express concerns about the accessibility and quality of certain videos, particularly regarding accents and filming styles. Overall, the thread serves as a collaborative effort to compile valuable resources for advanced mathematics education.
  • #31
sponsoredwalk said:
Harvard Lectures Following Hubbard's Differential Forms Book:
http://isites.harvard.edu/icb/icb.do?keyword=k80478&pageid=icb.page424494

I have now had a chance to look through this course. Unfortunately, it is (mostly) just the first half of the Hubbard book and so doesn't get into differential forms. The second course doesn't seem to be available on their site. For clarification, it is aimed at well-prepared students who have not done a multivariable calc course yet (many Harvard freshmen seem to be taking the course, so it doesn't really fall into our "upper-level" classification).

It is an interesting mix. By introducing linear algebra at the same time as multivariable calculus, it is able to treat a lot of things in much more generality. Bamberg mixes applications and proofs in the course, but his choice of material often seems strange to me. A lot of it seemed shoe-horned in just for the "shiny" factor rather than it actually being a useful time to learn the topic (finite fields, finite topologies, etc.).

I am not sure I would have liked learning this way. There isn't enough time to devote to the linear algebra. Really, I would do LA first and then build a course like Hubbards just assuming the LA material as background. Then you wouldn't be trying to do everything at once.
 
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  • #32
http://nptel.iitm.ac.in/courses/111101005/ by I.K. Rana, author of the best book in existence...
 
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  • #33
sponsoredwalk said:
http://nptel.iitm.ac.in/courses/111101005/ by I.K. Rana, author of the best book in existence...

Looks great. Thanks for the link.
 
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  • #34
F... F... http://nptel.iitm.ac.in/courses/111105037/
 
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  • #35
sponsoredwalk said:
F... F... http://nptel.iitm.ac.in/courses/111105037/

It looks like they are finally putting the upper-level mathematics courses online. I look forward to seeing what they come up with over the next year. It is too bad the Algebraic Topology course doesn't have any videos, though...
 
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  • #36
Calculus of Variations (20 lectures) and Integral Equations (20 lectures)

http://nptel.iitm.ac.in/courses/111104025/
 
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  • #37
http://nptel.iitm.ac.in/courses/111106052/
 
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  • #38
Khan Does Cohomology!

Well actually not Khan but some amazing guy following Hatcher's book & Khanacademy's format!

Homology

Cohomology

What fcuking coolness! :cool:
 
  • #41
The NPTEL lectures are surely coming up but not at a rate one would have hoped for. I mean I had the idea that they would release all proposed lectures by 2012 end. But I guess I was wrong.

By the way are there any lectures out there on complex analysis ?

Thanks.
 
  • #42
http://www.perimeterscholars.org/318.html
http://www2.latech.edu/~schroder/comp_var_videos.htm
you can find more if you google it
 
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  • #43
alemsalem said:
http://www.perimeterscholars.org/318.html
http://www2.latech.edu/~schroder/comp_var_videos.htm
you can find more if you google it

Cool , thanks for the find.

And some activity from NPTEL on the mathematical front after a long time.
A course on Real Analysis from the NPTEL Stable : - http://nptel.iitm.ac.in/courses/111106053/ .

Let's see how it goes.
There's one on the web by Francis Su of Harvey Mudd as we all know.
This one covers integration in addition to topics covered by Harvey Mudd. Let's see.
 
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  • #47
Nice work finding the Morse Theory and SL2R videos. Now I need time to watch them!

I am afraid that I haven't come across any multi-variable complex analysis videos.
 
  • #49
sponsoredwalk said:
http://nptel.iitm.ac.in/courses/111101005/ by I.K. Rana, author of the best book in existence...

I am finally getting around to watching some of these. He is a decent teacher but, my goodness, he goes slowly through the material. FOUR hours to talk about set algebras? I think my prof probably spent all of about 40 minutes before getting on with the rest of the course...
 
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  • #52
Does anybody know of ANY general relativity instructional videos/series on the web/youtube other than Susskind's stuff?
 
  • #53
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  • #54
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  • #55
sponsoredwalk said:
Haven't watched them yet but am dying to:

GR Lectures Following Carroll

GR Lectures Following Landau & Lifgarbagez

http://www.tifr.res.in/~mukhi/GR/sm-gr.html

http://perimeterscholars.org/396.html

Nice finds sponsoredwalk. You got youself a praise!:smile: Oh, I mean "thanks." They keep changing it.

Is the GR Lectures Following Carroll one only audio? I couldn't get any video on that. Perhaps I was doing something wrong?
 
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  • #57
Good Youtube Channel

Takes an Indian (& Russian if you want to push me) look at some concepts.


DiracPool said:
Nice finds sponsoredwalk. You got youself a praise!:smile: Oh, I mean "thanks." They keep changing it.

Is the GR Lectures Following Carroll one only audio? I couldn't get any video on that. Perhaps I was doing something wrong?

No man it's all in video, but if you notice his notes are in .tiff format so I guess the videos somehow encode that format & it's causing problems for you - vlc player plays them for me but I can tell it's having problems doing so. At the bottom of the page there is a link to his course from the year before which might work better for you
 
  • #58
sponsoredwalk said:
No man it's all in video, but if you notice his notes are in .tiff format so I guess the videos somehow encode that format & it's causing problems for you - vlc player plays them for me but I can tell it's having problems doing so. At the bottom of the page there is a link to his course from the year before which might work better for you

Yeah, last year's lectures are working, thankfully. The current lectures on my VLC player and every other player I have just show the notepad, but nothing is ever written on it. That goes for the all of the dozen or so lectures I tried. Go figure.
 
  • #59
Can anybody tell me any GROUP THEORY, INTEGRAL EQUATIONS video lectures, that starts from the very basic and leads to advanced level,
Thank you
 
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