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MIT 18.100A Real Analysis, Fall 2020
About this film
Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw Dr. Rodriguez introduced many important theorems in set theory, such as Cantor’s remarkable theorem, the squeeze theorem, Bolzano-Weierstrass theorem, Min/Max theorem, Bolzano’s intermediate value theorem, Rolle’s theorem, mean value theorem, Taylor's theorem, and Weierstrass approximation theorem. These videos cover the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments .
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MIT OpenCourseWare
Subjects
real analysis, calculus, mathematical analysis, convergence of sequences, continuity, differentiability, Riemann integral, sequences, series of functions, uniformity, interchange of limit operations
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