MIT OpenCourseWare: Free Courses from the institute

MIT OpenCourseWare: Free Courses from the institute

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  • 17. Space Complexity, PSPACE, Savitch's Theorem

    MIT 18.404J Theory of Computation, Fall 2020
    Instructor: Michael Sipser
    View the complete course: https://ocw.mit.edu/18-404JF20
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY

    Uploaded 06-10-21

    Quickly reviewed last lecture. Introduced space complexity. Defined SPACE(f(n)), NSPACE(f(n)) , PSPACE, and NPSPACE. Proved that TQBF is in PSPACE; LADDER for DFA is in NSPACE(n); and LADDER for DFA is in SPACE(n^2).

    License: Creative Commons BY-NC-SA
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    1 hr 27 min
  • Lecture 24: Cheap Talk

    MIT 14.12 Economic Applications of Game Theory, Fall 2025
    Instructor: Ian Ball
    View the complete course: https://ocw.mit.edu/courses/14-12-economic-applications-of-game-theory-fall-2025/
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63quuKvMHCt3cmTmt0O2qpv

    In this lecture, Ian Ball discusses cheap talk, which is a communication framework between players where messages do not directly affect the payoffs of the game. Providing and receiving information is free.

    License: Creative Commons BY-NC-SA
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    1 hr 16 min
  • L8.5 Neutrino Physics: Results of Neutrino Oscillation Experiments

    MIT 8.701 Introduction to Nuclear and Particle Physics, Fall 2020
    Instructor: Markus Klute
    View the complete course: https://ocw.mit.edu/8-701F20
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Do91PdN978llIsvjKW0au

    Summary of neutrino oscillation results. 

    License: Creative Commons BY-NC-SA
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    8 min
  • Lecture 10: Subgame-Perfect Nash Equilibrium

    MIT 14.12 Economic Applications of Game Theory, Fall 2025
    Instructor: Ian Ball
    View the complete course: https://ocw.mit.edu/courses/14-12-economic-applications-of-game-theory-fall-2025/
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63quuKvMHCt3cmTmt0O2qpv

    In this lecture, Ian Ball explains subgame-perfect Nash equilibriums, which is a strategy profile where every player's strategy is optimal not just for the game as a whole, but at every possible decision point (subgame) within the game.


    License: Creative Commons BY-NC-SA
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    1 hr 28 min
  • Lecture 4 Part 2: Nonlinear Root Finding, Optimization, and Adjoint Gradient Methods

    MIT 18.S096 Matrix Calculus For Machine Learning And Beyond, IAP 2023
    Instructors: Alan Edelman, Steven G. Johnson

    Uploaded 23-10-23

    View the complete course: https://ocw.mit.edu/courses/18-s096-matrix-calculus-for-machine-learning-and-beyond-january-iap-2023/
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62EaLLH92E_VCN4izBKK6OE

    Description: Nonlinear root finding by Newton’s method and optimization by gradient descent. “Adjoint” methods (reverse-mode/backpropagation) lets us find gradients efficiently for large-scale engineering optimization.

    License: Creative Commons BY-NC-SA
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    52 min
  • L6.2 Weak Interactions: Electroweak Unification

    MIT 8.701 Introduction to Nuclear and Particle Physics, Fall 2020
    Instructor: Markus Klute
    View the complete course: https://ocw.mit.edu/8-701F20
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Do91PdN978llIsvjKW0au

    In this lecture we unify the weak and electromagnetic interaction.

    License: Creative Commons BY-NC-SA
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    13 min
  • Lecture 6: Imperfect Competition

    MIT 14.12 Economic Applications of Game Theory, Fall 2025
    Instructor: Ian Ball
    View the complete course: https://ocw.mit.edu/courses/14-12-economic-applications-of-game-theory-fall-2025/
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63quuKvMHCt3cmTmt0O2qpv

    This lecture explores how companies compete and decide what prices to charge. Using real-world examples like oil production and cell phone companies, the instructor explains why some markets have one dominant player (like a local monopoly) while others have many competitors.

    License: Creative Commons BY-NC-SA
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    1 hr 28 min
  • L0.5 Introduction: Early History and People in Nuclear and Particle Physics

    MIT 8.701 Introduction to Nuclear and Particle Physics, Fall 2020
    Instructor: Markus Klute
    View the complete course: https://ocw.mit.edu/8-701F20
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Do91PdN978llIsvjKW0au

    Discussion of the early history and people in nuclear and particle physics from the 1820s to 1939.

    License: Creative Commons BY-NC-SA
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    19 min
  • 19. Games, Generalized Geography

    MIT 18.404J Theory of Computation, Fall 2020
    Instructor: Michael Sipser
    View the complete course: https://ocw.mit.edu/18-404JF20
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY

    Uploaded 06-10-21

    Quickly reviewed last lecture. Discussed a connection between games and quantifiers. Described the formula game and showed that generalized geography is PSPACE-complete. Introduced log space: L and NL. Defined the configuration graph to prove NL is a subset of P.

    License: Creative Commons BY-NC-SA
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    1 hr 27 min
  • Lecture 13: Infinitely Repeated Games

    MIT 14.12 Economic Applications of Game Theory, Fall 2025
    Instructor: Ian Ball
    View the complete course: https://ocw.mit.edu/courses/14-12-economic-applications-of-game-theory-fall-2025/
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63quuKvMHCt3cmTmt0O2qpv
    In this lecture, Ian Ball discusses infinitely repeated games, which are scenarios where players engage in the same stage game indefinitely, allowing for cooperation that wouldn't exist in one-shot games.

    License: Creative Commons BY-NC-SA
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    1 hr 30 min

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