MIT OpenCourseWare: Free Courses from the institute

MIT 9.01 Neuroscience and Behavior, Fall 2003
Instructor: Prof. Gerald E. Schneider
View the complete course: http://ocw.mit.edu/courses/brain-and-cognitive-sciences/9-01-neuroscience-and-behavior-fall-2003
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63U7FmbKD9KClb-94dyPJim

Uploaded 16-05-22

Brain Subdivisions; Channels of Conduction

License: Creative Commons BY-NC-SA
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More courses at https://ocw.mit.edu
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Speakers: Prof. Gerald E. Schneider



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MIT 18.100B Real Analysis, Spring 2025
Instructor: Tobias Holck Colding
View the complete course: https://ocw.mit.edu/courses/18-100b-real-analysis-spring-2025/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62Ie7F_tTAhhXoX5_Cl8meG

Uploaded 02-09-25

In this lecture we take a closer look of what it means to write a mathematical proof. In doing so we return to the Archimedean property as well as why the square root of 2 is not a rational number.

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 9.01 Neuroscience and Behavior, Fall 2003
Instructor: Prof. Gerald E. Schneider
View the complete course: http://ocw.mit.edu/courses/brain-and-cognitive-sciences/9-01-neuroscience-and-behavior-fall-2003
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63U7FmbKD9KClb-94dyPJim

Uploaded 16-05-22

Visual System 1: Anatomy, Ablations

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: Prof. Gerald E. Schneider



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MIT 18.100B Real Analysis, Spring 2025
Instructor: Tobias Holck Colding
View the complete course: https://ocw.mit.edu/courses/18-100b-real-analysis-spring-2025/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62Ie7F_tTAhhXoX5_Cl8meG

Uploaded 02-09-25

We begin by estimating how close the Taylor expansion approximates a function. To do so means that we need to bound the remainder term. After that, we turn to constructing the Riemann integrals. Integrals plays a key role in all of mathematics and was originally constructed to calculate areas of complicated figures.

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 9.01 Neuroscience and Behavior, Fall 2003
Instructor: Prof. Gerald E. Schneider
View the complete course: http://ocw.mit.edu/courses/brain-and-cognitive-sciences/9-01-neuroscience-and-behavior-fall-2003
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63U7FmbKD9KClb-94dyPJim

Uploaded 16-05-22

Transection Effects; Neocortex

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: Prof. Gerald E. Schneider



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MIT 18.100B Real Analysis, Spring 2025
Instructor: Tobias Holck Colding
View the complete course: https://ocw.mit.edu/courses/18-100b-real-analysis-spring-2025/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62Ie7F_tTAhhXoX5_Cl8meG

Uploaded 02-09-25

In this class you will both learn the foundation of mathematical analysis as well as how to prove theorems and write a mathematical proof.

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 9.01 Neuroscience and Behavior, Fall 2003
Instructor: Prof. Gerald E. Schneider
View the complete course: http://ocw.mit.edu/courses/brain-and-cognitive-sciences/9-01-neuroscience-and-behavior-fall-2003
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63U7FmbKD9KClb-94dyPJim

Uploaded 16-05-22

Introduction to Brain-behavior Studies

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: Prof. Gerald E. Schneider



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MIT 18.100B Real Analysis, Spring 2025
Instructor: Tobias Holck Colding
View the complete course: https://ocw.mit.edu/courses/18-100b-real-analysis-spring-2025/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62Ie7F_tTAhhXoX5_Cl8meG

Uploaded 02-09-25

We define what it means for a function to be differentiable. We show that if a function is differentiable at a point, then it is also continuous. We then establish the basic algebraic laws for differentiation. Those includes Leibniz's rule, the quotient rule, and the chain rule. Once we have that, we prove Rolle's lemma and use it to show the mean value theorem.

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 9.01 Neuroscience and Behavior, Fall 2003
Instructor: Prof. Gerald E. Schneider
View the complete course: http://ocw.mit.edu/courses/brain-and-cognitive-sciences/9-01-neuroscience-and-behavior-fall-2003
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63U7FmbKD9KClb-94dyPJim

Uploaded 16-05-22

Influences on Axon Growth

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: Prof. Gerald E. Schneider



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MIT 18.100B Real Analysis, Spring 2025
Instructor: Tobias Holck Colding
View the complete course: https://ocw.mit.edu/courses/18-100b-real-analysis-spring-2025/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62Ie7F_tTAhhXoX5_Cl8meG

Uploaded 02-09-25

We conclude our proof of the basic properties of the exponential function. This includes a result about products of two series.

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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