Mathematics Video Lectures: Real Analysis

Snowflakes (Image Courtesy of Jimbography ;-))

Course Name:  Real Analysis
Course Code: Math 533
Institution: Department of Mathematics, University of Colorado
Instructor: Rinaldo Schinazi
Course Description:  Measure theory, metric and normed linear spaces, completions, continuous functions, Riemann-Stieltjes and Lebesgue integration.

Video Lecture Download Links:

Lecture 1: Introduction (No Video Available)

Lecture 2: Practice Problems, Euclidean Topology, Sigma Algebras
 Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video3.html
 Part 2: http://cmes.uccs.edu/Fall2007/Math533/pages/video4.html 


Lecture 3: Measures Continued
 Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video5.html
 Part 2: http://cmes.uccs.edu/Fall2007/Math533/pages/video6.html

Lecture 4: Constraints of Counting Measures, Lebesque Measure
 Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video7.html
 Part 2: http://cmes.uccs.edu/Fall2007/Math533/pages/video8.html

Lecture 5: Measurable Functions and Their Applications
 Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video9.html
 Part 2: http://cmes.uccs.edu/Fall2007/Math533/pages/video10.html

Lecture 6: Density of Rationals, Integrations of Positive Functions
 Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video11.html
 Part 2: http://cmes.uccs.edu/Fall2007/Math533/pages/video12.html

Lecture 7: Review, Monotone Convergence Theorem
 Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video13.html
 Part 2: http://cmes.uccs.edu/Fall2007/Math533/pages/video14.html

Lecture 8: En of Disjoint Sets, Real Functions
 Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video15.html
 Part 2: http://cmes.uccs.edu/Fall2007/Math533/pages/video16.html

Lecture 9: Practice Sets, Integrability
 Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video17.html
 Part 2: http://cmes.uccs.edu/Fall2007/Math533/pages/video18.html

Lecture 10: Dominated Convergence Theorem, Proofs
 Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video19.html
 Part 2: http://cmes.uccs.edu/Fall2007/Math533/pages/video20.html


Lecture 11: Review for Test
Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video21.html

Lecture 12: Practice Test, Review
 Part 1: http://cmes.uccs.edu/Fall2007/Math533/pages/video23.html
 Part 2: http://cmes.uccs.edu/Fall2007/Math533/pages/video24.html