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

  • The Battery Revolution (Intro to Solid-State Chemistry)

    MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
    Instructor: Jeffrey C. Grossman
    View the complete course: https://ocw.mit.edu/3-091F18
    Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
    Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ

    Uploaded 07-12-20

    Why this matters: how batteries are engineered.

    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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    8 min
  • Lecture 9: Chernoff Bounds

    MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
    Instructor: Ankur Moitra
    View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0

    Uploaded 17-12-25

    We introduce and prove Chernoff’s theorem bounding the tails of sums of random variables. Unlike our previous tail bounds, this assumes that all the variables are independent.

    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 3 min
  • Refrigerators and CFCs (Intro to Solid-State Chemistry)

    MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
    Instructor: Jeffrey C. Grossman
    View the complete course: https://ocw.mit.edu/3-091F18
    Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
    Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ

    Uploaded 07-12-20

    Why this matters: what limits innovation, and government policy.

    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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    8 min
  • Lecture 13: Duality in Linear Programming

    MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
    Instructor: Peter Shor
    View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0

    Uploaded 17-12-25

    We show how to take duals for arbitrary linear programs (not just ones in canonical form). We introduce the complementary slackness. Next, we give a physics-inspired proof of strong duality. Finally, we use strong duality to prove Koenig’s theorem.

    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
  • 28. Introduction to Aqueous Solutions (Intro to Solid-State Chemistry)

    MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
    Instructor: Jeffrey C. Grossman
    View the complete course: https://ocw.mit.edu/3-091F18
    Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
    Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ

    Uploaded 07-12-20

    Equilibrium and solubility—similar bonds dissolve similar bonds.

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
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    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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    58 min
  • Lecture 18: Transmitting Information Reliably over a Noisy Channel and Shannon’s Noisy Coding Theorem

    MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
    Instructor: Ankur Moitra
    View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0

    Uploaded 17-12-25

    How do you transmit information reliably over noisy channels? We first discuss simple codes: repetition codes. Shannon’s noisy coding theorem shows much better codes exist. We prove the simplest case of this theorem — for the binary symmetric channel.

    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
  • 16. Doping (Intro to Solid-State Chemistry)

    MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
    Instructor: Jeffrey C. Grossman
    View the complete course: https://ocw.mit.edu/3-091F18
    Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
    Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ

    Uploaded 07-12-20

    Introducing impurities to increase the density of charge carriers

    License: Creative Commons BY-NC-SA
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    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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    57 min
  • Lecture 14: Zero-Sum Games

    We introduce zero-sum games. We define the payoff matrix. We then give several examples of zero-sum games (matching pennies and a more complicated game). We then explain the concept of Nash equilibrium.

    Uploaded 17-12-25

    MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
    Instructor: Ankur Moitra
    View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0

    We introduce zero-sum games. We define the payoff matrix. We then give several examples of zero-sum games (matching pennies and a more complicated game). We then explain the concept of Nash equilibrium.

    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
  • 2. The Periodic Table (Intro to Solid-State Chemistry)

    MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
    Instructor: Jeffrey C. Grossman
    View the complete course: https://ocw.mit.edu/3-091F18
    Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
    Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ

    Uploaded 07-12-20

    Covers concept of the mole and organizing the periodic table.

    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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    55 min
  • Lecture 15: Max-Flow Min-Cut Theorem

    MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
    Instructor: Peter Shor
    View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0

    Uploaded 17-12-25

    We explain the problem of maximum flow. First, we show that the maximum flow is always less than the minimum cut. We next write down the linear program for maximum flow and take the dual. It turns out that this gives the minimum cut.

    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 25 min

About MIT OpenCourseWare: Free Courses from the institute

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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…