playlistduration

MIT 18.100B Real Analysis, Spring 2025

by MIT OpenCourseWare · 25 videos

Total watch time

1d 8h 56m

at 1× speed · exactly 1 day, 8 hours, 56 minutes, 5 seconds at 1×

1×1d 8h 56m 5s
1.25×1d 2h 20m 52s
1.5×21h 57m 23s
1.75×18h 49m 11s
2×16h 28m 3s
Average video1h 19m 3s
Longest1h 23m 31s
Shortest1h 5m 56s
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About 33 days at an hour a day

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Days

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Videos (25)

1d 8h 56m in total · tick what you've watched

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Videos to
Watched
1 Lecture 1: Introduction to Real Numbers 1:05:56 2025-09-02
2 Lecture 2: Introduction to Real Numbers (cont.) 1:15:32 2025-09-02
3 Lecture 3: How to Write a Proof; Archimedean Property 1:19:48 2025-09-02
4 Lecture 4: Sequences; Convergence 1:18:52 2025-09-02
5 Lecture 5: Monotone Convergence Theorem 1:18:31 2025-09-02
6 Lecture 6: Cauchy Convergence Theorem 1:17:08 2025-09-02
7 Lecture 7: Bolzano–Weierstrass Theorem; Cauchy Sequences; Series 1:23:04 2025-09-02
8 Lecture 8: Convergence Tests for Series; Power Series 1:21:14 2025-09-02
9 Lecture 9: Limsup and Liminf; Power Series; Continuous Functions; Exponential Function 1:21:56 2025-09-02
10 Lecture 10: Continuous Functions; Exponential Function (cont.) 1:22:48 2025-09-02
11 Lecture 11: Extreme and Intermediate Value Theorem; Metric Spaces 1:21:49 2025-09-02
12 Review for 18.100B Real Analysis Midterm 1:16:25 2025-09-02
13 Lecture 12: Convergence in Metric Spaces; Operations on Sets 1:21:27 2025-09-02
14 Lecture 13: Open and Closed Sets; Coverings; Compactness 1:19:51 2025-09-02
15 Lecture 14: Sequential Compactness; Bolzano–Weierstrass Theorem in a Metric Space 1:23:31 2025-09-02
16 Lecture 15: Derivatives; Laws for Differentiation 1:19:41 2025-09-02
17 Lecture 16: Rolle’s Theorem; Mean Theorem; L’Hôpital’s Rule; Taylor Expansion 1:18:10 2025-09-02
18 Lecture 17: Taylor Polynomials; Remainder Term; Riemann Integrals 1:21:48 2025-09-02
19 Lecture 18: Integrable Functions 1:19:53 2025-09-02
20 Lecture 19: Fundamental Theorem of Calculus 1:20:28 2025-09-02
21 Lecture 20: Pointwise Convergence; Uniform Convergence 1:18:12 2025-09-02
22 Lecture 21: Integrals and Derivatives under Uniform Convergence 1:20:07 2025-09-02
23 Lecture 22: Differentiating and Integrating Power Series; Ordinary Differential Equations (ODEs) 1:21:03 2025-09-02
24 Lecture 23: Existence & Uniqueness for ODEs: Picard–Lindelöf Theorem 1:22:00 2025-09-02
25 Review for the 18.100B Real Analysis Final Exam 1:06:51 2025-09-02

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