Video Lectures for Upper-Level Mathematics

Click For Summary
SUMMARY

This discussion focuses on sourcing video lectures for upper-level mathematics courses, specifically targeting late-undergraduate and early-graduate topics. Participants share various resources, including Ted Chinburg's Algebra and Algebraic Number Theory from UPenn, UCCS's Real Analysis and Functional Analysis, and NPTEL's mathematics courses. The conversation emphasizes the need for quality video content on advanced topics such as Galois Theory, Category Theory, and Topology, while discouraging links to introductory courses. Users also express concerns about the quality of instruction and the accessibility of certain video resources.

PREREQUISITES
  • Familiarity with upper-level mathematics concepts such as Galois Theory and Category Theory.
  • Understanding of video lecture platforms like YouTube and educational archives.
  • Basic knowledge of course structures in higher education mathematics.
  • Ability to evaluate the quality of instructional videos.
NEXT STEPS
  • Explore Ted Chinburg's Algebra and Algebraic Number Theory course at UPenn.
  • Research UCCS's video archive for Real Analysis and Functional Analysis courses.
  • Investigate NPTEL's mathematics video offerings for advanced topics.
  • Look into Benedict Gross's Abstract Algebra lectures for a comprehensive understanding of the subject.
USEFUL FOR

Mathematics students, educators, and self-learners seeking high-quality video resources for advanced mathematical topics, particularly those in late undergraduate or early graduate studies.

  • #91
Sankaku said:
UCCS Archive: Real Analysis, Functional Analysis, etc.
http://www.uccs.edu/~math/vidarchive.html

The url of UCCS Archive has been changed into:
http://www.uccs.edu/math/student-resources/video-course-archive.html
 
Last edited by a moderator:

Similar threads

  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 3 ·
Replies
3
Views
14K
  • · Replies 42 ·
2
Replies
42
Views
103K
Replies
6
Views
8K
  • · Replies 5 ·
Replies
5
Views
29K
Replies
41
Views
7K
  • · Replies 7 ·
Replies
7
Views
3K
  • Sticky
  • · Replies 16 ·
Replies
16
Views
12K
  • · Replies 5 ·
Replies
5
Views
12K
  • · Replies 19 ·
Replies
19
Views
7K