MIT OpenCourseWare: Free Courses from the institute

MIT OpenCourseWare: Free Courses from the institute

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MIT OpenCourseWare: Free Courses from the institute episodes

  • Lecture 11: Absolute Convergence and the Comparison Test for Series

    MIT 18.100A Real Analysis, Fall 2020
    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

    Uploaded 21-06-22

    We continue studying the convergence of infinite series, defining absolute convergence and proving the comparison test: the test of all tests. We also prove properties of p-series.

    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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    1 hr 7 min
  • Session 2: Hypotheticals

    MIT RES.11-004 Facilitative Leadership in the Public Sector, Fall 2024
    Instructor: Lawrence Susskind

    Uploaded 31-03-25

    View the complete course: https://ocw.mit.edu/courses/res-11-004-facilitative-leadership-in-the-public-sector-fall-2024
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60O02XvPeXfmDpv3Dir9q0T

    This video presents the second session of Prof. Lawrence Susskind's series of workshops on leadership in the public sector.

    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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    49 min
  • Lecture 8: The Squeeze Theorem and Operations Involving Convergent Sequences

    MIT 18.100A Real Analysis, Fall 2020
    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

    Uploaded 21-06-22

    Important facts about limits, including the squeeze theorem and algebraic operations on limits. Limits with quotients, absolute values, and square roots.

    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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    1 hr 22 min
  • Session 4: Do You Really See Yourself as a Facilitative Leader?

    MIT RES.11-004 Facilitative Leadership in the Public Sector, Fall 2024
    Instructor: Lawrence Susskind

    Uploaded 31-03-25

    View the complete course: https://ocw.mit.edu/courses/res-11-004-facilitative-leadership-in-the-public-sector-fall-2024
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60O02XvPeXfmDpv3Dir9q0T

    This video presents the fourth and final session of Prof. Lawrence Susskind's series of workshops on leadership in the public sector.

    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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    34 min
  • Lecture 25: Power Series and the Weierstrass Approximation Theorem

    MIT 18.100A Real Analysis, Fall 2020
    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

    Uploaded 21-06-22

    We return to the study of power series as we conclude our semester of 18.100A. We prove the Weierstrass Approximation Theorem, showing that every continuous function on a closed and bounded interval is a uniform limit of a sequence of polynomials.

    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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    1 hr 23 min
  • Session 1: Concepts and Theories of Facilitative Leadership in the Public Sector

    MIT RES.11-004 Facilitative Leadership in the Public Sector, Fall 2024
    Instructor: Lawrence Susskind

    Uploaded 31-03-25

    View the complete course: https://ocw.mit.edu/courses/res-11-004-facilitative-leadership-in-the-public-sector-fall-2024
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60O02XvPeXfmDpv3Dir9q0T

    This video presents the first session of Prof. Lawrence Susskind's series of workshops on leadership in the public sector.

    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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    38 min
  • Lecture 21: The Riemann Integral of a Continuous Function

    MIT 18.100A Real Analysis, Fall 2020
    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

    Uploaded 21-06-22

    We continue studying the Riemann integral, proving the convergence of Riemann sums of a continuous function on a bounded interval. We also begin studying properties of the Riemann integral, which we explore more in the next lecture.

    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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    1 hr 14 min
  • Session 3: Microskills for Facilitative Leaders

    MIT RES.11-004 Facilitative Leadership in the Public Sector, Fall 2024
    Instructor: Lawrence Susskind

    Uploaded 31-03-25

    View the complete course: https://ocw.mit.edu/courses/res-11-004-facilitative-leadership-in-the-public-sector-fall-2024
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60O02XvPeXfmDpv3Dir9q0T

    This video presents the third session of Prof. Lawrence Susskind's series of workshops on leadership in the public sector.

    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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    46 min
  • Lecture 17: Uniform Continuity and the Definition of the Derivative

    MIT 18.100A Real Analysis, Fall 2020
    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

    Uploaded 21-06-22

    We wrap up our current study of continuous functions by considering uniform continuity. We show that uniform continuity is equivalent to continuity on a closed and bounded interval, and begin to consider the derivative of a function.

    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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    1 hr 20 min
  • Facilitative Leadership in the Public Sector (Trailer)

    MIT RES.11-004 Facilitative Leadership in the Public Sector, Fall 2024
    Instructor: Lawrence Susskind
    View the complete course: https://ocw.mit.edu/courses/res-11-004-facilitative-leadership-in-the-public-sector-fall-2024
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60O02XvPeXfmDpv3Dir9q0T

    Uploaded 27-03-25

    This video presents a three-minute opening statement by Prof. Lawrence Susskind, inviting viewers to watch the four session videos of his series on facilitative leadership.

    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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    5 min

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A free and open online publication of educational material from thousands of MIT courses, covering the entire MIT curriculum, ranging from introductory to the most advanced graduate courses. On the…