MIT OpenCourseWare: Free Courses from the institute

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: defects and deformations in materials can have a huge impact in applications.

License: Creative Commons BY-NC-SA
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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 derive the formula for the generating functions of Catalan numbers, and we then use it to give the formula for Catalan numbers.

License: Creative Commons BY-NC-SA
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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

How identical points are arranged in space in crystalline solids.

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 18.200 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 and prove the inclusion-exclusion principle, and apply it to the hat check problem. We go over the coupon collector’s problem. We define what independence of random variables means.

License: Creative Commons BY-NC-SA
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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: benzine derivatives in organic chemistry.

License: Creative Commons BY-NC-SA
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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 18.200 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 review Shannon’s noiseless coding theorem. We define prefix free codes and show that they can be efficiently decoded by using a binary tree. We then give Huffman’s algorithm for finding the optimal prefix free code.

License: Creative Commons BY-NC-SA
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More courses at https://ocw.mit.edu
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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-rays and 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
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 18.200 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

Definition of a group; examples of groups: addition mod n, multiplication mod n.Definitions of subgroup, definition of cosets, statement and proof of Lagrange’s theorem. Finally, we apply Lagrange’s theorem to prove Fermat’s little Theorem.

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 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: understanding the positions of the elements in 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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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 how polynomials can be used to construct Reed-Solomon codes, and how to use the fundamental theorem of algebra to compute their minimum distance. We then explain how to decode 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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