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 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
  • 22. X-ray Diffraction Techniques II (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

    Continuing the discussion of x-ray diffraction techniques.

    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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    55 min
  • Lecture 2: Independence and Conditioning

    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 explain what it means for two events to be independent, and what it means to condition one event on another. We cover the law of Total Probability and Bayes’ rule. We then define random variables and expectations, and explain linearity of expectation.

    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 18 min
  • 36. Diffusion II (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 steady state and non steady state diffusion (continued).

    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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    45 min
  • Lecture 5: More Counting and Generating Functions

    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 prove the Cayley tree theorem by counting in two ways. We then explain the basics of generating functions — what is a generating function, and how we combine two generating functions (e.g. adding them and multiplying them).

    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 19 min
  • 10. Lewis Structures II (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

    Lewis structures, covalent bonds, and resonance continued.

    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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    51 min
  • Lecture 6: More on Generating Functions

    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 use generating functions to solve linear recurrence equations. In particular, we use generating functions to derive an expression for Fibonacci numbers. We then discuss generating functions with two variables.

    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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    1 hr 27 min
  • 11. Shapes of Molecules and VSEPR (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

    The VSEPR model allows us to predict the shapes of molecules to more fully understanding their properties.

    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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    56 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…