MIT 18.100A Real Analysis, Fall 2020

by MIT OpenCourseWare · 25 videos

Total watch time

1d 5h 45m

at speed · exactly 1 day, 5 hours, 44 minutes, 45 seconds at 1×

1d 5h 44m 45s
1.25×23h 47m 48s
1.5×19h 49m 50s
1.75×16h 59m 51s
14h 52m 23s
Average video1h 11m 23s
Longest1h 25m 7s
Shortest52m 32s
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Videos (25)

1d 5h 45m in total · tick what you've watched

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Videos to
Watched
1 Lecture 1: Sets, Set Operations and Mathematical Induction 1:14:22 2022-06-21
2 Lecture 2: Cantor's Theory of Cardinality (Size) 1:25:07 2022-06-21
3 Lecture 3: Cantor's Remarkable Theorem and the Rationals' Lack of the Least Upper Bound Property 1:18:40 2022-06-21
4 Lecture 4: The Characterization of the Real Numbers 1:22:04 2022-06-21
5 Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value 1:18:13 2022-06-21
6 Lecture 6: The Uncountabality of the Real Numbers 1:21:41 2022-06-21
7 Lecture 7: Convergent Sequences of Real Numbers 1:00:39 2022-06-21
8 Lecture 8: The Squeeze Theorem and Operations Involving Convergent Sequences 1:14:53 2022-06-21
9 Lecture 9: Limsup, Liminf, and the Bolzano-Weierstrass Theorem 1:13:43 2022-06-21
10 Lecture 10: The Completeness of the Real Numbers and Basic Properties of Infinite Series 1:15:37 2022-06-21
11 Lecture 11: Absolute Convergence and the Comparison Test for Series 1:00:03 2022-06-21
12 Lecture 12: The Ratio, Root, and Alternating Series Tests 1:00:21 2022-06-21
13 Lecture 13: Limits of Functions 1:12:54 2022-07-11
14 Lecture 14: Limits of Functions in Terms of Sequences and Continuity 1:01:14 2022-06-21
15 Lecture 15: The Continuity of Sine and Cosine and the Many Discontinuities of Dirichlet's Function 1:01:58 2022-06-21
16 Lecture 16: The Min/Max Theorem and Bolzano's Intermediate Value Theorem 1:08:24 2022-06-21
17 Lecture 17: Uniform Continuity and the Definition of the Derivative 1:12:55 2022-06-21
18 Lecture 18: Weierstrass's Example of a Continuous and Nowhere Differentiable Function 1:15:36 2022-06-21
19 Lecture 19: Differentiation Rules, Rolle's Theorem, and the Mean Value Theorem 1:14:27 2022-06-21
20 Lecture 20: Taylor's Theorem and the Definition of Riemann Sums 52:32 2022-06-21
21 Lecture 21: The Riemann Integral of a Continuous Function 1:06:35 2022-06-21
22 Lecture 22: Fundamental Theorem of Calculus, Integration by Parts, and Change of Variable Formula 1:12:13 2022-06-21
23 Lecture 23: Pointwise and Uniform Convergence of Sequences of Functions 1:09:17 2022-06-21
24 Lecture 24: Uniform Convergence, the Weierstrass M-Test, and Interchanging Limits 1:15:10 2022-06-21
25 Lecture 25: Power Series and the Weierstrass Approximation Theorem 1:16:07 2022-06-21

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