Video Lectures for Upper-Level Mathematics

Click For Summary

Discussion Overview

The discussion revolves around the search for video lectures specifically for upper-level mathematics courses, targeting late-undergraduate and early-graduate topics. Participants share links to various resources while expressing preferences for certain areas of mathematics and commenting on the quality of the materials.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests video lectures for upper-level mathematics, explicitly excluding introductory courses in several subjects.
  • Multiple links to video resources are shared, including those from universities and platforms like YouTube, covering topics such as Algebra, Real Analysis, and Probability Theory.
  • Some participants express concerns about the quality of certain links, with one noting a broken link and others discussing the accessibility of specific video formats.
  • There is a suggestion to keep the thread focused on mathematics, with a request for a separate thread for physics-related content.
  • Participants mention specific courses and instructors, such as Benedict Gross's Abstract Algebra course and Mark Kot's Complex Analysis, with varying opinions on their appropriateness for upper-level study.
  • One participant critiques a Lambda Calculus series for lacking definitions, while others appreciate the effort but note shortcomings in clarity.
  • Some participants express interest in applied mathematics resources, while others prefer pure mathematics, indicating a diversity of focus within the discussion.
  • There are mentions of the commercialization of educational resources, particularly regarding the availability of certain university courses.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the quality or appropriateness of all shared resources, and there are competing views on what constitutes upper-level mathematics. The discussion remains unresolved regarding the best sources and the categorization of certain courses.

Contextual Notes

Some links are reported as broken or temperamental under certain operating systems, and there are concerns about the quality and accessibility of the video formats. The discussion also highlights the challenge of distinguishing between upper-level and lower-level courses.

Who May Find This Useful

Readers interested in upper-level mathematics courses, particularly those seeking video resources for self-study or supplementary learning in advanced topics.

  • #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.
 
Mathematics news on Phys.org
  • #32
http://nptel.iitm.ac.in/courses/111101005/ by I.K. Rana, author of the best book in existence...
 
Last edited by a moderator:
  • #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.
 
Last edited by a moderator:
  • #34
F... F... http://nptel.iitm.ac.in/courses/111105037/
 
Last edited by a moderator:
  • #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...
 
Last edited by a moderator:
  • #36
Calculus of Variations (20 lectures) and Integral Equations (20 lectures)

http://nptel.iitm.ac.in/courses/111104025/
 
Last edited by a moderator:
  • #37
http://nptel.iitm.ac.in/courses/111106052/
 
Last edited by a moderator:
  • #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
 
Last edited by a moderator:
  • #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.
 
Last edited by a moderator:
  • #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...
 
Last edited by a moderator:
  • #52
Does anybody know of ANY general relativity instructional videos/series on the web/youtube other than Susskind's stuff?
 
  • #53
Last edited by a moderator:
  • Like
Likes   Reactions: 1 person
  • #54
Last edited by a moderator:
  • Like
Likes   Reactions: 1 person
  • #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?
 
Last edited by a moderator:
  • #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
 
Last edited:

Similar threads

Undergrad New Video Course on General Topology on YouTube
  • · Replies 2 ·
Replies
2
Views
4K
UCCS Video Lectures | Math Courses | Register Now!
  • · Replies 3 ·
Replies
3
Views
14K
Undergrad A collection of audio/video lectures on mathematics
  • · Replies 42 ·
2
Replies
42
Views
103K
MHB What are some good lecture series on YouTube for math and related topics?
  • · Replies 6 ·
Replies
6
Views
9K
Math Lecture Video Archive - UCCS
  • · Replies 5 ·
Replies
5
Views
29K
Courses Math Course Advice -- Harvard freshman planning to double major in physics and mathematics
  • · Replies 41 ·
2
Replies
41
Views
7K
Undergrad Full Course in Group Theory (and More) on YouTube
  • · Replies 7 ·
Replies
7
Views
3K
  • Sticky
Other Collection of Free Online Math Books and Lecture Notes (part 1)
  • · Replies 16 ·
Replies
16
Views
12K
Undergrad BS-Mathematics Vs BS-Mathematical Sciences
  • · Replies 5 ·
Replies
5
Views
12K
High School Calculus Videos: Reviews & Comparison to College Lectures
  • · Replies 19 ·
Replies
19
Views
7K