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.