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

Auditory System

License: Creative Commons BY-NC-SA
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Speakers: Prof. Gerald E. Schneider



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Economist Jonathan Gruber explains how the NFL operates as a legal cartel—selling national broadcast rights as a single entity, limiting competition, and driving up costs for viewers.

Uploaded 08-09-25

View the full lecture ᐅ https://youtu.be/omeBIMSJ89k?si=IJLUuzcFoD1V_nsP



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MIT 9.01 Neuroscience and Behavior, Fall 2003
Instructor: Robert Thomas
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

Sleep and Waking (cont.); Robert Thomas, M.D., Guest lecturer

License: Creative Commons BY-NC-SA
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Speakers: Dr. Robert Thomas



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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

Using sequences and properties of sequences, we show both the extreme value theorem as well as the intermediate value theorem. We also define the notion of a metric space. A metric space is a space with a well-defined way of measuring distances between pairs of points. Many of the notions that we have introduced for the real numbers have counterparts for metric spaces and we discuss some of those including convergence and Cauchy sequence. We will also give a number of examples of metric spaces.

License: Creative Commons BY-NC-SA
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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

History and Goals, II

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.

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 will show that continuous functions are integrable. This means that the graph of such a function bound a well defined area. To do so, we define what it means for a function to be uniformly continuous. This is a strong version of continuity but we will see that all continuous functions on a closed and bounded interval have this stronger property. Once we have shown that all continuous functions on a compact interval are uniformly continuous, it will follow relatively easily that they are integrable.

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 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

Synapses; Neuroanatomical Techniques

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.

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 show existence and uniqueness of first order ordinary differential equations (ODEs). This is the Picard-Lindelof theorem and is a wonderful application of much of the material in the class. It will use the theory of metric spaces as well as the contracting mapping theorem. The solution to an ODE will be constructed as a fix point of a contracting map. Here the contracting map is defined on the Cauchy complete metric space of continuous functions on a compact interval.

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

Introduction to CNS and its Evolution

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.

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 will first continue the discussion of the available tests to determine whether or not a series is convergent. After that, we turn to the important notions of limsup and liminf. These new notions are needed to state the general form of the convergence tests. Once we have limsup, we can define the radius of convergence for a power series. Power series are infinite sums of polynomials.

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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