Undergrad Real Analysis video course from Harvey Mudd College

[gauss^2]

There is a Harvey Mudd College first semester real analysis course posted at http://www.youtube.com/user/Learnstream, based on the classic text Principles of Mathematical Analysis (Baby Rudin), by Walter Rudin. Professor Francis Su, who delivers these lectures, does a great job helping to tie this difficult book together with intuitive geometric and topological arguments in the first 15 or so lectures I have watched so far (there are 23, with a few more coming).

The topics are roughly:
- Construction of the Rational Numbers
- Construction of the Real Numbers via Dedekind Cuts
- The Real and Complex Fields
- Induction and Well-Ordering
- Cardinality
- Metric Spaces and Their Topology
- Compact Sets and Spaces
- The Cantor Set and Connected Sets and Spaces
- Sequences
- Completeness
- Series
- Continuity and Uniform Continuity
- Differentiation and the Mean-Value Theorem

There's still a few lectures left before the semester finishes, so the syllabus above isn't complete. Since the Learnstream project has gone to the trouble to post these outstanding lectures for the public, I think they'd appreciate appreciate seeing lots of people using their work.


PF Mentors, Advisors, and Homework Helpers, I think this would be a useful resource for the Calculus & Beyond Learning Materials forum, so please place the thread there if you agree.

 

[Sankaku]

This is a great link - it should definitely be in the Learning Materials forum with the rest of the video links.