MIT OpenCourseWare: Free Courses from the institute

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 set theory and useful proof writing techniques required for the course. We start to see the power of mathematical induction.

License: Creative Commons BY-NC-SA
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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 efficiency and equity, socially optimal allocation, inequality, and sources of economic leakage. Keywords: efficiency, equity, allocation, inequality, economic leakage

License: Creative Commons BY-NC-SA
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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 begin studying convergent sequences, considering monotone sequences and introducing a inconspicuous but very useful tool: subsequences.

License: Creative Commons BY-NC-SA
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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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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 international trade, which is one of the central issues in the field of economics. Other topics include production possibilities frontier, comparative advantage, and trade markets. Keywords: international trade, production possibilities frontier, comparative advantage, trade markets

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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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

What does it mean for one set to be bigger than another? Defining injections, surjections, bijections, and cardinality, and showing the countability of the rationals.

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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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 introduces the idea of monopoly, which is when there is only one seller of a good or service. Topics covered include monopoly profit maximization and welfare effects. Keywords: microeconomics, monopoly, profit maximization, welfare

License: Creative Commons BY-NC-SA
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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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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

Does a bounded sequence have a convergent subsequence? We introduce limit inferiors and limit superiors to prove this is the case (known as the Bolzano-Weierstrass 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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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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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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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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