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

  • Lec 8: Competition II

    MIT 14.01 Principles of Microeconomics, Fall 2023
    Instructor: Prof. Jonathan Gruber
    View the complete course: https://ocw.mit.edu/14-01F23
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60V7HxLYRaJMbFzP77bzEjb

    Uploaded 02-04-25

    In this lecture, Prof. Gruber continues the discussion of competition. Topics covered include perfect competition in the long run and how firms maximize profit. Keywords: competition, perfect competition, long, profit, maximization

    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 4: The Characterization of the Real Numbers

    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

    An introduction to properties of fields and ordered fields. We put the ‘real’ in real analysis and fully define the real numbers!

    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 29 min
  • Lec 17: Making Choices over Time

    MIT 14.01 Principles of Microeconomics, Fall 2023
    Instructor: Prof. Jonathan Gruber
    View the complete course: https://ocw.mit.edu/14-01F23
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60V7HxLYRaJMbFzP77bzEjb

    Uploaded 02-04-25

    This lecture focuses on how individuals and firms make decisions over time. Topics include present value, inflation, and investment. Keywords: choice, decision, firms, present value, inflation, investment, capital       

    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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    57 min
  • Lecture 22: Fundamental Theorem of Calculus, Integration by Parts, and Change of Variable Formula

    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 prove many more properties of the Riemann integral, including the triangle inequality for integrals, integration by parts, and the change of variable formula. We also prove the Fundamental Theorem of Calculus, a consequence of the Mean Value 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 19 min
  • Lec 2: Preferences and Utility Function

    MIT 14.01 Principles of Microeconomics, Fall 2023
    Instructor: Prof. Jonathan Gruber
    View the complete course: https://ocw.mit.edu/14-01F23
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60V7HxLYRaJMbFzP77bzEjb

    Uploaded 02-04-25

    In this lecture, Prof. Gruber talks about where consumer decisions come from, beginning with consumer preferences. He then builds on these concepts to explain the utility function, which is a mathematical expression of consumer preference. Keywords: micoreconomics, consumer demand, preferences, utility 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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    47 min
  • Lecture 3: Cantor's Remarkable Theorem and the Rationals' Lack of the Least Upper Bound Property

    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

    Finishing the lecture on Cantor’s notion of cardinality and starting to define the real numbers. Introducing ordered sets, the least upper bound property, and the incompleteness of the rational numbers.

    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 26 min
  • Lec 10: Welfare Economics

    MIT 14.01 Principles of Microeconomics, Fall 2023
    Instructor: Prof. Jonathan Gruber
    View the complete course: https://ocw.mit.edu/14-01F23
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60V7HxLYRaJMbFzP77bzEjb

    Uploaded 02-04-25

    In this lecture, Prof. Gruber talks about welfare economics, which is the study of how the allocation of resources and goods affects social welfare. Topics include government interventions and interventions in the perfectly competitive market. Keywords: welfare economics, resources, goods, competition, government, markets

    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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    52 min
  • Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value

    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 show that the real numbers satisfy the Archimedean property, a property we will constantly use, and we prove rationals are dense in the reals. We also rigorously define absolute values and the properties that follow from this definition.

    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
  • Lec 14: Oligopoly II

    MIT 14.01 Principles of Microeconomics, Fall 2023
    Instructor: Prof. Jonathan Gruber
    View the complete course: https://ocw.mit.edu/14-01F23
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60V7HxLYRaJMbFzP77bzEjb

    Uploaded 02-04-25

    In the lecture, Prof. Gruber continues the discussion on oligopoly. Other topics include cartels and price comparison. Keywords: oligopoly, cartels, price comparison, monopoly

    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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    53 min
  • Lecture 14: Limits of Functions in Terms of Sequences and Continuity

    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

    How are limits of functions and limits of sequences connected? Continuity gives us the perfect connection as we start to prove facts about single variable calculus.

    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 8 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…