MIT OpenCourseWare: Free Courses from the institute

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

In this lecture we cover tail bounds; these bound the probability that a random variable is far away from the mean. We give Markov’s bound and Chebyshev’s bound. We then use Chebyshev’s bound to prove the weak law of large 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.



Learn more about your ad choices. Visit megaphone.fm/adchoices

Learn more about your ad choices. Visit megaphone.fm/adchoices

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 the discovery of the electron led to new technology.

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.



Learn more about your ad choices. Visit megaphone.fm/adchoices

Learn more about your ad choices. Visit megaphone.fm/adchoices

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 send information over a noisy channel and correct errors. We describe the 7-bit Hamming code and explain how it works. We then define linear codes and show how they work in general. Finally, we discuss more general Hamming codes.

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.



Learn more about your ad choices. Visit megaphone.fm/adchoices

Learn more about your ad choices. Visit megaphone.fm/adchoices

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: Hemodialysis.

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.



Learn more about your ad choices. Visit megaphone.fm/adchoices

Learn more about your ad choices. Visit megaphone.fm/adchoices

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 modular arithmetic. We then discuss inverses mod m. We give the Euclidean algorithm for finding the GCD (greatest common divisor) and use the extended Euclidean algorithm to find inverses. Finally, we cover the Chinese Remainder 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.



Learn more about your ad choices. Visit megaphone.fm/adchoices

Learn more about your ad choices. Visit megaphone.fm/adchoices

MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018

Uploaded 07-12-20

Instructor: Jeffrey C. Grossman
View the complete course: https://ocw.mit.edu/3-091F18
Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ

Why this matters: viewing matter at different scales.

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.



Learn more about your ad choices. Visit megaphone.fm/adchoices

Learn more about your ad choices. Visit megaphone.fm/adchoices

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 define linear programs. We give two examples: The diet problem, and a bake sale problem. We then give two different forms you can put a linear program in: the standard form and the canonical form. Finally, we discuss duals of linear programs.

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.



Learn more about your ad choices. Visit megaphone.fm/adchoices

Learn more about your ad choices. Visit megaphone.fm/adchoices

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 properties of crystal structure can be utilized.

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.



Learn more about your ad choices. Visit megaphone.fm/adchoices

Learn more about your ad choices. Visit megaphone.fm/adchoices

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 first describe the mechanics of the course. We then discuss the pigeonhole principle, explaining what it is and giving several surprising applications of it. The we briefly discuss foundations of probability and sample spaces.

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.



Learn more about your ad choices. Visit megaphone.fm/adchoices

Learn more about your ad choices. Visit megaphone.fm/adchoices

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: the limitless possibilities of nanotechnology.

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.



Learn more about your ad choices. Visit megaphone.fm/adchoices

Learn more about your ad choices. Visit megaphone.fm/adchoices