Genomic and cDNA Libraries
Instructor: Robert Dorkin
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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
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Instructor: Gilbert Strang
The SVD factors each matrix into an orthogonal matrix times a diagonal matrix (the singular value) times another orthogonal matrix: rotation times stretch times rotation.
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Learn about MIT OpenCourseWare's beginnings, mission, and what you can do with free and open MIT educational materials.
https://ocw.mit.edu
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We'd like to recognize SapientNitro who filmed and produced this video. We thank them for their work and support for MIT OPENCOURSEWARE'S 15th anniversary.
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Polymerase Chain Reaction (PCR)
Instructor: Robert Dorkin
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MIT 21L.705 Major Authors: Old English and Beowulf, Spring 2014
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Instructor: Arthur Bahr
MIT associate professor Arthur Bahr reads a short excerpt of Beowulf in Old English and Sir Gawayne and the Green Knight in Middle English.
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MIT 15.390 New Enterprises, Fall 2013
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Instructor: Bill Aulet
Discussion of the essential difference between invention and innovation and the important role played by commercialization in innovation.
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Course Introduction
Instructor: Gilbert Strang
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Professor Gil Strang describes the key concepts of undergraduate course Linear Algebra, who should take it, and how it is taught. He provides examples of applications of linear algebra and how it is useful in physics, economics and social sciences, natural sciences, and engineering.
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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: http://ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
Vectors are a basis for a subspace if their combinations span the whole subspace and are independent: no basis vector is a combination of the others. Dimension = number of basis vectors.
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MIT 2.627 Fundamentals of Photovoltaics, Fall 2011
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Instructor: Joe Sullivan
This video summarizes how a solar cell turns light-generated mobile charges into electricity, highlighting the cell's physical structure with layers with different dopants, and the roles of electric fields and diffusion of holes and electrons.
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Transcription and Translation, excerpt 1
Instructor: Eric Lander
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MIT Chemistry Behind the Magic
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Instructor: John Dolhuh, Jessica Harrop
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WARNING NOTICE:
The experiments described in these materials are potentially hazardous and require a high level of safety training, special facilities and equipment, and supervision by appropriate individuals. You bear the sole responsibility, liability, and risk for the implementation of such safety procedures and measures. MIT and Dow shall have no responsibility, liability, or risk for the content or implementation of any of the material presented. Legal Notice - http://ocw.mit.edu/terms/

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MIT 8.04 Quantum Physics I, Spring 2016
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Instructor: Barton Zwiebach
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Second fundamental theorem and chain rule
Instructor: Christine Breiner
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MIT 6.S079 Nanomaker, Spring 2013
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Instructors: Dr. Katey Lo, Dr. Joseph Summers, Prof. Vladimir Bulovic
This video is a tutorial on how to assemble and use a spectrometer using a CD diffraction grating and cellphone camera. Sample spectra of a white LED and red laser are also shown.
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MIT 6.S079 Nanomaker, Spring 2013
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Instructors: Dr. Katey Lo, Dr. Joseph Summers, Prof. Vladimir Bulovic
This video is a tutorial on performing O2 plasma treatment of PDMS using a microwave oven. The demonstration includes how to set up the treatment, as well as testing the hydrophobicity of the treated PDMS.
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Graphing surfaces
Instructor: David Jordan
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Optics: Half-wave plate
Instructor: Shaoul Ezekiel
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Basis and Dimension
Instructor: Ana Rita Pires
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MIT 18.S997 Introduction to MATLAB Programming Fall 2011
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Instructor: Yossi Farjoun
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MIT 15.390 New Enterprises, Fall 2013
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Instructor: Bill Aulet
In this video, two dramatically different types of entrepreneurship are discussed: Small and Medium Enterprise Entrepreneurship (SME) and Innovation Driven Enterprise Entrepreneurship (IDE) and what this distinction means for aspiring entrepreneurs.
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Taylor's Series of a Polynomial
Instructor: Christine Breiner
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MIT RES.TLL-004 STEM Concept Videos
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Instructor: John Lienhard
This video begins with observations of spontaneous processes from daily life and then connects the idea of spontaneity to entropy.
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Computing the Singular Value Decomposition
Instructor: Ben Harris
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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: http://ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
A matrix can be diagonalized if it has n independent eigenvectors. The diagonal matrix Î› is the eigenvalue matrix.
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Basic Mechanisms of Cloning, excerpt 1
Instructor: Eric Lander
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MIT RES.TLL-004 Concept Vignettes
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Instructor: Sam Watson
This video provides an introduction to conditional probability and its calculations, as well as how it can be used to interpret medical diagnoses.
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Transcription and Translation, excerpt 2
Instructor: Eric Lander
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Least squares
Instructor: Christine Breiner
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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: http://ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
The eigenvectors remain in the same direction when multiplied by the matrix. Subtracting an eigenvalue from the diagonal leaves a singular matrix: determinant zero. An n by n matrix has n eigenvalues.
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Elimination with Matrices
Instructor: Martina Balagovic
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Introduction to Solid State Chemistry is a first-year single-semester college course on the principles of chemistry. This unique and popular course satisfies MIT's general chemistry degree requirement, with an emphasis on solid-state materials and their application to engineering systems.
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Volume of Revolution via Shells
Instructor: Christine Breiner
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MIT 15.390 New Enterprises, Fall 2013
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Instructor: Bill Aulet
Discussion of varieties of innovation and the distinction between business innovation and technology innovation. Examples of companies demonstrating various kinds of innovation are given.
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Explanation of Simpson's rule
Instructor: Christine Breiner
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Transformation and Protein Expression
Instructor: Robert Dorkin
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Linear Systems: Complex Roots
Instructor: Lydia Bourouiba
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MIT 6.034 Artificial Intelligence, Fall 2010
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Instructor: Patrick Winston
In this lecture, we explore support vector machines in some mathematical detail. We use Lagrange multipliers to maximize the width of the street given certain constraints. If needed, we transform vectors into another space, using a kernel function.
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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: http://ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
A matrix produces four subspaces: column space, row space (same dimension), the space of vectors perpendicular to all rows (the nullspace), and the space of vectors perpendicular to all columns.
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MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
Instructor: Gilbert Strang
View the complete course: https://ocw.mit.edu/18-065S18
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k
Professor Strang describes the four topics of the course: Linear Algebra, Deep Learning, Optimization, and Statistics. He provides examples of how Linear algebra concepts are key for understanding and creating machine learning algorithms, especially as applied to deep learning and neural networks. The course parallels the content of his book Linear Algebra and Learning from Data published in 2019.
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MIT 2.627 Fundamentals of Photovoltaics, Fall 2011
View the complete course: http://ocw.mit.edu/2-627F11
Instructor: Joe Sullivan
Pure silicon has very low conductivity. This tutorial explains how "doping," the addition of very small amounts of elements like P and B to the Si material, create mobile charges that dramatically boost the material's conductivity.
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MIT RES.TLL-004 Concept Vignettes
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Instructor: Ken Kamrin
This video leads students through the problem solving method of dimensional analysis. In one example, students use dimensional analysis to determine the diameter of a parachute needed to slow a rover to 90m/s in order to safely land on Mars.
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Change of variables
Instructor: Christine Breiner
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Agarose Gel Electrophoresis, DNA Sequencing, PCR, Lecture Video Excerpt 1
Instructor: Eric Lander
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Overview of Recombinant DNA, excerpt 1
Instructor: Eric Lander
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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: http://ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
Differential equations connect the slope of a graph to its height. Slope = height, slope = -height, slope = 2t times height: all linear. Slope = (height)^2 is nonlinear.
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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: http://ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
A Fourier series separates a periodic function into a combination (infinite) of all cosine and since basis functions.
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MIT 6.S079 Nanomaker, Spring 2013
View the complete course: http://ocw.mit.edu/6-S079S13
Instructors: Dr. Katey Lo, Dr. Joseph Summers, Prof. Vladimir Bulovic
This video is a tutorial on creating a paper microfluidic device through wax curing, droplet test, and choosing proper channels. Applications are demonstrated as well, including mixing and chemical sensors.
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Gram-Schmidt Orthogonalization
Instructor: Ana Rita Pires
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Lecture 2: Elimination with Matrices.
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MIT 8.04 Quantum Physics I, Spring 2016
View the complete course: http://ocw.mit.edu/8-04S16
Instructor: Barton Zwiebach
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Views: 14761
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