MIT OpenCourseWare: Free Courses from the institute

MIT 6.1200J Mathematics for Computer Science, Spring 2024
Instructor: Brynmor Chapman

Uploaded 22-07-25

View the complete course: https://ocw.mit.edu/courses/6-1200j-mathematics-for-computer-science-spring-2024/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61VNvICqk2HXJTonnKgAc9d

This lecture wraps up the semester by looking at large deviation, Chebyshev, and Chernoff bounds.

License: Creative Commons BY-NC-SA
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MIT ESD.932 Engineering Ethics, Spring 2006
Instructor: Dr. Taft Broome
View the complete course: https://ocw.mit.edu/courses/esd-932-engineering-ethics-spring-2006/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61YF5HCMnGUwJ8D-PNNs3OR

Uploaded 06-06-22

This course introduces the theory and the practice of engineering ethics using a multi-disciplinary and cross-cultural approach. Theory includes ethics and philosophy of engineering. Historical cases are taken primarily from the scholarly literatures on engineering ethics, and hypothetical cases are written by students. Each student will write a story by selecting an ancestor or mythic hero as a substitute for a character in a historical case. Students will compare these cases and recommend action.

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.

Speakers: Dr. Taft Broome



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MIT 6.1200J Mathematics for Computer Science, Spring 2024
Instructor: Zachary Abel

Uploaded 22-07-25

View the complete course: https://ocw.mit.edu/courses/6-1200j-mathematics-for-computer-science-spring-2024/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61VNvICqk2HXJTonnKgAc9d

A relation consists of a domain, a codomain, and a subset of ordered pairs. This lecture examines relations on a single set, equivalence relations, and partial orders. Then, we introduce counting.

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 ESD.932 Engineering Ethics, Spring 2006
Instructor: Dr. Taft Broome
View the complete course: https://ocw.mit.edu/courses/esd-932-engineering-ethics-spring-2006/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61YF5HCMnGUwJ8D-PNNs3OR

Uploaded 06-06-22

This course introduces the theory and the practice of engineering ethics using a multi-disciplinary and cross-cultural approach. Theory includes ethics and philosophy of engineering. Historical cases are taken primarily from the scholarly literatures on engineering ethics, and hypothetical cases are written by students. Each student will write a story by selecting an ancestor or mythic hero as a substitute for a character in a historical case. Students will compare these cases and recommend action.

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.

Speakers: Dr. Taft Broome



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MIT 6.1200J Mathematics for Computer Science, Spring 2024
Instructor: Brynmor Chapman

Uploaded 22-07-25

View the complete course: https://ocw.mit.edu/courses/6-1200j-mathematics-for-computer-science-spring-2024/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61VNvICqk2HXJTonnKgAc9d

We continue the counting techniques by looking at the pigeonhole principle to solve counting problems.

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 ESD.932 Engineering Ethics, Spring 2006
Instructor: Dr. Taft Broome
View the complete course: https://ocw.mit.edu/courses/esd-932-engineering-ethics-spring-2006/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61YF5HCMnGUwJ8D-PNNs3OR

Uploaded 06-06-22

This course introduces the theory and the practice of engineering ethics using a multi-disciplinary and cross-cultural approach. Theory includes ethics and philosophy of engineering. Historical cases are taken primarily from the scholarly literatures on engineering ethics, and hypothetical cases are written by students. Each student will write a story by selecting an ancestor or mythic hero as a substitute for a character in a historical case. Students will compare these cases and recommend action.

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.

Speakers: Dr. Taft Broome



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MIT 6.1200J Mathematics for Computer Science, Spring 2024
Instructor: Brynmor Chapman

Uploaded 22-07-25

View the complete course: https://ocw.mit.edu/courses/6-1200j-mathematics-for-computer-science-spring-2024/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61VNvICqk2HXJTonnKgAc9d

You’ve seen a couple of lectures on basic number theory now. Why was it in 6.1200? Today we will see how GCDs and modular arithmetic are extremely important for computer security!

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 ESD.932 Engineering Ethics, Spring 2006
Instructor: Dr. Taft Broome
View the complete course: https://ocw.mit.edu/courses/esd-932-engineering-ethics-spring-2006/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61YF5HCMnGUwJ8D-PNNs3OR

Uploaded 06-06-22

This course introduces the theory and the practice of engineering ethics using a multi-disciplinary and cross-cultural approach. Theory includes ethics and philosophy of engineering. Historical cases are taken primarily from the scholarly literatures on engineering ethics, and hypothetical cases are written by students. Each student will write a story by selecting an ancestor or mythic hero as a substitute for a character in a historical case. Students will compare these cases and recommend action.

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.

Speakers: Dr. Taft Broome



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MIT 6.1200J Mathematics for Computer Science, Spring 2024
Instructor: Brynmor Chapman

Uploaded 22-07-25

View the complete course: https://ocw.mit.edu/courses/6-1200j-mathematics-for-computer-science-spring-2024/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61VNvICqk2HXJTonnKgAc9d

Sums are useful for recurrences, counting, probability, runtimes of algorithms, performances of large systems, machine learning, and much more! This lecture looks at ways to approximate sums through perturbation, ansatz method, and the integral method.

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 ESD.932 Engineering Ethics, Spring 2006
Instructor: Dr. Taft Broome
View the complete course: https://ocw.mit.edu/courses/esd-932-engineering-ethics-spring-2006/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61YF5HCMnGUwJ8D-PNNs3OR

Uploaded 06-06-22

This course introduces the theory and the practice of engineering ethics using a multi-disciplinary and cross-cultural approach. Theory includes ethics and philosophy of engineering. Historical cases are taken primarily from the scholarly literatures on engineering ethics, and hypothetical cases are written by students. Each student will write a story by selecting an ancestor or mythic hero as a substitute for a character in a historical case. Students will compare these cases and recommend action.

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.

Speakers: Students



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