528,516
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Dec 5, 2008
12/08

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*Please note that Lecture 4 is unavailable in a higher quality format. Instructor/speaker: Prof. Gilbert Strang View the complete course at: http://ocw.mit.edu/18-06S05 This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms...

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Topic: systems of equations, vector spaces, positive definite matrices, matrix theory, linear algebra,...

113,169
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Jan 6, 2017
01/17

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MIT 6.0001 Introduction to Computer Science and Programming in Python, Fall 2016 View the complete course: http://ocw.mit.edu/6-0001F16 Instructor: Dr. Ana Bell 6.0001 Introduction to Computer Science and Programming in Python is intended for students with little or no programming experience. It aims to provide students with an understanding of the role computation can play in solving problems and to help students, regardless of their major, feel justifiably confident of their ability to write...

Topics: Computation, Branching, Iteration, Strings, Guess and check, Approximations, Bisection,...

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Instructor: Professor John Guttag Collection of 26 lectures given during the Spring 2011 semester of 6.00, Introduction to Computer Science and Programming. This course covers introductory computer science methods and topics. All programming assignments use Python. View the complete course: http://ocw.mit.edu/6-00SCS11

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Topics: programming, Python, computation, function, module, parameter, tuples, lists, strings,...

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Oct 8, 2010
10/10

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Instructor: Prof. Jeremy Wolfe See the full course materials at http://ocw.mit.edu/courses/brain-and-cognitive-sciences/9-00-introduction-to-psychology-fall-2004 This course surveys questions about human behavior and mental life ranging from how you see to why you fall in love. The great controversies: nature and nurture, free will, consciousness, human differences, self and society. Students are exposed to the range of theoretical perspectives including biological, evolutionary, cognitive, and...

Topics: human behavior, brain, perception, memory, motivation, emotion, learning, senses, sensation,...

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Jul 20, 2021
07/21

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Instructor: Prof. Erik Demaine, Dr. Jason Ku, Prof. Justin Solomon View the complete course: https://ocw.mit.edu/6-006S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63EdVPNLG3ToM6LaEUuStEY This course is an introduction to mathematical modeling of computational problems, as well as common algorithms, algorithmic paradigms, and data structures used to solve these problems. It emphasizes the relationship between algorithms and programming and introduces basic performance...

Topics: 6.006, data structure, sorting, hashing, binary trees, breadth-first search, depth-first search,...

385,478
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Aug 13, 2009
08/09

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MIT OpenCourseWare

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Instructor: Prof. David Jerison This introductory calculus course covers differentiation and integration of functions of one variable, with applications. Note: the review for the exam in lecture 7 is not comprehensive because the students already have practice exams available to them. There is no lecture 8 video because the exam was given during this session. View the complete course at: http://ocw.mit.edu/18-01F06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms...

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Topics: differentiation, integration, functions, single variable, limits, continuity, differentiation...

31,383
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Nov 20, 2019
11/19

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Instructor: Prof. Gary Gensler View the complete course: https://ocw.mit.edu/15-S12F18 This course is for students wishing to explore blockchain technology’s potential use - by entrepreneurs & incumbents - to change the world of money and finance. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

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Topics: Bitcoin, distributed ledgers, smart contracts, blockchain, financial sector, payment systems,...

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Lecture videos from 6.006 Introduction to Algorithms, taught by Erik Demaine and Srini Devadas. The course is divided into eight units: introduction, sorting and trees, hashing, numerics, graphs, shortest paths, dynamic programming, and advanced topics.

Topics: algorithms, data structures, algorithm performance, algorithm analysis, sorting, trees, hashing,...

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Instructor: Richard Schmalensee View the complete course: http://ocw.mit.edu/15-031JS12 The collection includes twenty full lectures out of the twenty-four lecture sessions, and features occasional guest lecture as well as in-class discussions. License: Creative Commons BY-NC-SA More information at ocw.mit.edu/terms

Topics: energy, energy, energy systems, public policy, power systems, path dependence, sustainability,...

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Instructors: Tom Leighton, Marten van Dijk This course covers elementary discrete mathematics. Mathematical definitions and proofs are emphasized. Topics include formal logic, induction, graph theory, asymptotic notation and growth of functions, counting principles, and discrete probability. View the complete course: http://ocw.mit.edu/6-042JF10

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Topics: formal logic notation, proof methods, induction, sets, relations, graph theory, integer...

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45K

Jan 21, 2016
01/16

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View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer This course covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles;...

Topics: formal logic notation, proof methods, induction, sets, relations, graph theory, integer...

354,906
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Aug 20, 2009
08/09

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MIT OpenCourseWare

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This subject is aimed at students with little or no programming experience. It aims to provide students with an understanding of the role computation can play in solving problems. It also aims to help students, regardless of their major, to feel justifiably confident of their ability to write small programs that allow them to accomplish useful goals. The class will use the Python™ programming language.

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Topics: Python, programming, computer science, computation, problem solving, recursion, binary search,...

39,792
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Mar 31, 2017
03/17

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MIT 8.01 Classical Mechanics, Fall 2016 View the complete course: http://ocw.mit.edu/8-01F16 Instructor: Dr. Peter Dourmashkin Historically, a set of core concepts: Space, time, mass, force, momentum, torque, and angular momentum, were introduced in Newtonian Mechanics in order to solve the most famous physics problem, the motion of the planets. The principles of mechanics successfully described many other phenomena encountered in the world. Conservation Laws involving energy, momentum and...

Topics: 8.01, classical mechanics, Space and time, straight-line kinematics, motion in a plane, forces and...

266,749
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Jan 20, 2009
01/09

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MIT OpenCourseWare

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This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space. MIT OpenCourseWare offers another version of 18.02, from the Spring 2006 term. Both versions cover the same material, although they are taught by different faculty and rely on different textbooks. Multivariable Calculus (18.02) is taught during the Fall and...

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Topics: calculus, calculus of several variables, vector algebra, determinants, matrix, matrices,...

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Dec 17, 2008
12/08

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MIT OpenCourseWare

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Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especially second order with constant coefficients; Undetermined...

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Topic: Ordinary Differential Equations, ODE, modeling physical systems, first-order ODE's, Linear ODE's,...

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Jun 30, 2020
06/20

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Instructor: Prof. Jonathan Gruber View the complete course: https://ocw.mit.edu/14-01F18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62oJSoqb4Rf-vZMGUBe59G- This introductory undergraduate course covers the fundamentals of microeconomics. 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...

Topics: microeconomics, supply and demand, market equilibrium, consumer theory, production, monopoly,...

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Jul 20, 2017
07/17

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MIT 18.650 Statistics for Applications, Fall 2016 View the complete course: http://ocw.mit.edu/18-650F16 Instructor: Philippe Rigollet This course offers an in-depth the theoretical foundations for statistical methods that are useful in many applications. The goal is to understand the role of mathematics in the research and development of efficient statistical methods. *NOTE: Lecture 1 video was recorded in Fall 2017. The rest of the lectures were recorded in Fall 2016. License: Creative...

Topics: statistics, regression, parametric inference, parametric hypothesis, Bayesian statistics, principal...

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Jun 21, 2017
06/17

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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 This is the first course in the undergraduate Quantum Physics sequence. It introduces the basic features of quantum mechanics. It covers the experimental basis of quantum physics, introduces wave mechanics, Schrödinger's equation in a single dimension, and Schrödinger's equation in three dimensions. License: Creative Commons BY-NC-SA More information at...

Topics: quantum physics, photoelectric effect, Compton scattering, photons, Franck-Hertz experiment, Bohr...

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May 10, 2017
05/17

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MIT OpenCourseWare

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MIT 6.0002 Introduction to Computational Thinking and Data Science, Fall 2016 View the complete course: http://ocw.mit.edu/6-0002F16 Instructor: John Guttag This course provides students with an understanding of the role computation can play in solving problems. Student will learn to write small programs using the Python 3.5 programming language. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: Python 3.5, Python, machine learning, knapsack problem, greedy algorithm, optimization, weights,...

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Mar 1, 2018
03/18

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MIT OpenCourseWare

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View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: John Tsitsiklis, Patrick Jaillet The tools of probability theory, and of the related field of statistical inference, are the keys for being able to analyze and make sense of data. These tools underlie important advances in many fields, from the basic sciences to engineering and management. This resource is a companion site to 6.041SC Probabilistic Systems Analysis and Applied Probability. It covers the same content, using...

Topics: RES.6-012, RES.6, probability, probability models, bayes rule, discrete random variables,...

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Jan 4, 2011
01/11

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MIT OpenCourseWare

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Instructor: Christine Breiner, David Jordan, Joel Lewis This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics. View the complete course: http://ocw.mit.edu/18-02SCF10

Topic: multivariable calculus, vectors, matrices, partial derivatives, double integrals, line integrals,...

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Nov 25, 2013
11/13

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/6-034F10 Instructor: Patrick Winston In these lectures, Prof. Patrick Winston introduces the 6.034 material from a conceptual, big-picture perspective. Topics include reasoning, search, constraints, learning, representations, architectures, and probabilistic inference. In these mega-recitations, teaching assistant Mark Seifter works through problems from previous exams in a lecture-style setting. Students are asked to participate, and emphasis is...

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Topics: artificial intelligence, patrick winston, search, machine learning, representation, architecture,...

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Jan 8, 2011
01/11

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MIT OpenCourseWare

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Instructors: Christine Breiner, David Jordan, Joel Lewis This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics. View the complete course: http://ocw.mit.edu/18-01SCF10

Topics: recitations, differentiation of functions, integration of functions, limits, continuity,...

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Jan 22, 2009
01/09

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MIT OpenCourseWare

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6.002 is designed to serve as a first course in an undergraduate electrical engineering (EE), or electrical engineering and computer science (EECS) curriculum. At MIT, 6.002 is in the core of department subjects required for all undergraduates in EECS. The course introduces the fundamentals of the lumped circuit abstraction. Topics covered include: resistive elements and networks; independent and dependent sources; switches and MOS transistors; digital abstraction; amplifiers; energy storage...

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Topic: Fundamentals of the lumped circuit abstraction, Resistive elements and networks, independent and...

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Feb 14, 2011
02/11

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MIT OpenCourseWare

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What do one mathematician, one artist, and one musician all have in common? Are you interested in zen Buddhism, math, fractals, logic, paradoxes, infinities, art, language, computer science, physics, music, intelligence, consciousness and unified theories? Get ready to chase me down a rabbit hole into Douglas Hofstadter's Pulitzer Prize winning book GÃ¶del, Escher, Bach. Lectures will be a place for crazy ideas to bounce around as we try to pace our way through this enlightening tome. You...

Topics: Free, open, online, high school, course materials, MIT, Lecture notes, MIT student developed...

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Jun 9, 2014
06/14

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/8-04S13 Instructor: Allan Adams This course covers the experimental basis of quantum physics. It introduces wave mechanics, Schrödinger's equation in a single dimension, and Schrödinger's equation in three dimensions. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: physics, quantum

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Apr 15, 2020
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MIT OpenCourseWare

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Instructors: Barbara Imperiali, Adam Martin, Diviya Ray View the complete course: https://ocw.mit.edu/7-016F18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63LmSVIVzy584-ZbjbJ-Y63 7.016 Introductory Biology provides an introduction to fundamental principles of biochemistry, molecular biology and genetics for understanding the functions of living systems. Taught for the first time in Fall 2013, this course covers examples of the use of chemical biology and...

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Topics: chemical bonding, amino acids, peptides, proteins, enzymes, metabolism, carbohydrates,...

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Welcome to 6.041/6.431, a subject on the modeling and analysis of random phenomena and processes, including the basics of statistical inference. Nowadays, there is broad consensus that the ability to think probabilistically is a fundamental component of scientific literacy. For example: The concept of statistical significance (to be touched upon at the end of this course) is considered by the Financial Times as one of "The Ten Things Everyone Should Know About Science". A recent...

Topics: probability, probability models, bayes rule, discrete random variables, continuous random...

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Dec 23, 2014
12/14

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MIT OpenCourseWare

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This course explores mathematical concepts and techniques used in the financial industry.

Topics: risk model, risk management, financial industry, volatility, portfolio theory, stochastic process,...

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Apr 20, 2010
04/10

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MIT OpenCourseWare

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Highlights of Calculus is a series of videos that introduce the fundamental concepts of calculus to both high school and college students. Renowned mathematics professor, Gilbert Strang, will guide students through a number of calculus topics to help them understand why calculus is relevant and important to understand. View the complete course at: http://ocw.mit.edu/highlights-of-calculus License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at...

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Topics: Gilbert Strang, Calculus, Highlights, Fundamentals

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Feb 28, 2018
02/18

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MIT OpenCourseWare

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MIT 8.03 Physics III: Vibrations and Waves, Fall 2016 View the complete course: https://ocw.mit.edu/8-03F16 Instructor: Yen-Jie Lee This is the third course in the core physics curriculum at MIT, following 8.01 Physics I: Classical Mechanics and 8.02 Physics II: Electricity and Magnetism. Topics include mechanical vibrations and waves, electromagnetic waves, and optics. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

Topics: 8.03SC, 8.03, mechanical vibrations, waves, simple harmonic motion, superposition, forced...

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Aug 12, 2020
08/20

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MIT OpenCourseWare

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Instructor: Scott Hughes View the complete course: https://ocw.mit.edu/8-962S20 YouTube Playlist: https://www.youtube.com/playlist?list=PPLUl4u3cNGP629n_3fX7HmKKgin_rqGzbx 8.962 is MIT's graduate course in general relativity, which covers the basic principles of Einstein's general theory of relativity, differential geometry, experimental tests of general relativity, black holes, and cosmology. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at...

Topics: 8.962, relativity, general relativity, special relativity, linearized general relativity,...

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May 8, 2019
05/19

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MIT OpenCourseWare

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Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k Linear algebra concepts are key for understanding and creating machine learning algorithms, especially as applied to deep learning and neural networks. This course reviews linear algebra with applications to probability and statistics and optimization–and above all a full explanation of deep learning. Note: Videos of...

Topics: 18.065, 18.0651, data analysis, signal processing, image processing, machine learning, linear...

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Feb 3, 2016
02/16

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/6-046JS15 Instructors: Erik Demaine, Srinivas Devadas, Nancy Ann Lynch 6.046 introduces students to the design of computer algorithms, as well as analysis of sophisticated algorithms. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: algorithm, sorting, search trees, heaps, hashing, divide and conquer, dynamic programming, greedy...

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Apr 3, 2020
04/20

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MIT OpenCourseWare

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Instructors: Philip Greenspun, Tina Srisvastava View the complete course: https://ocw.mit.edu/16-687IAP19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63cUdAG3v311Vl72ozOiK25 This recording is a three-day workshop of the MIT 2019 IAP course 16.687. Students learned all the basic knowledge to operate different aircrafts and prepare for the FAA Private Pilot Knowledge Exam. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at...

Topics: VFR, aviation, aerodynamics, flight training, pilot certificate, aircrafts, drone, FAA Private...

6,680
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Nov 22, 2013
11/13

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/RES-TLL-004F13 Instructors: The STEM Concept Videos are a series of videos produced by the Teaching and Learning Lab (TLL) at MIT, for the Singapore University of Technology and Design (SUTD). Each video is designed to help students learn a pivotal concept in science or engineering. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: electric potential, entropy, gradient, kinetic theory, unit analysis, VSEPR, communication, enzyme...

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View the complete course: http://ocw.mit.edu/15-401F08 Instructor: Andrew Lo The collection includes videos that cover the class lectures on finance theory as well as a course summary at the end. Overarching concepts include the framework for financial analysis, valuation, risk, and corporate finance, and market efficiency. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: finance, time-value, cash flows, net present value, pricing, risk, portfolio theory, valuation,...

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This collection contains a group of problem solving videos. Each video is led by a teaching assistant, who works through a particular linear algebra problem to show OCW users how to complete it. View the complete course at: http://ocw.mit.edu/18-06SCF11

Topics: matrix theory, linear algebra, systems of equations, vector spaces, determinants, eigenvalues,...

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Dec 13, 2010
12/10

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MIT OpenCourseWare

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Introduction to Solid State Chemistry is a freshman (first-year) class on the principles of chemistry, with an emphasis on solid-state materials, and their application to engineering systems. It covers the relationship between electronic structure, chemical bonding, and atomic order. Characterization of atomic arrangements in crystalline and amorphous solids: metals, ceramics, semiconductors, and polymers (including proteins). Topical coverage of organic chemistry, solution chemistry, acid-base...

Topics: solid state chemistry, electronic structure, chemical bonding, crystal structure, atomic and...

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Dec 20, 2019
12/19

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MIT OpenCourseWare

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MIT How to Speak, IAP 2018 Instructor: Patrick Winston View the complete course: https://ocw.mit.edu/how_to_speak Patrick Winston's How to Speak talk has been an MIT tradition for over 40 years. Offered every January, the talk is intended to improve your speaking ability in critical situations by teaching you a few heuristic rules. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

Topics: communication, teaching, public speaking, job interviews, lectures, presentations, slides, oral exam

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Dec 19, 2016
12/16

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MIT OpenCourseWare

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MIT 5.111 Principles of Chemical Science, Fall 2014 View the complete course: http://ocw.mit.edu/5-111F14 Instructor: Catherine Drennan An introduction to the chemistry of biological, inorganic, and organic molecules with emphasis on basic principles of atomic and molecular electronic structure, thermodynamics, acid-base and redox equilibria, chemical kinetics, and catalysis. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: chemistry, biological molecules, inorganic molecules, organic molecules, atomic structure,...

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May 22, 2019
05/19

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Instructor: Chris Terman View the complete course: https://ocw.mit.edu/6-004S17 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62WVs95MNq3dQBqY2vGOtQ2 Introduces architecture of digital systems, emphasizing structural principles common to a wide range of technologies. Multilevel implementation strategies; definition of new primitives (e.g., gates, instructions, procedures, processes) and their mechanization using lower-level elements. Analysis of potential concurrency;...

Topics: 6.004, Computer Design, Engineering, Digital Systems

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Mar 11, 2009
03/09

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/7-012F04 Instructor: Claudette Gardel, Eric Lander, Robert Weinberg, Andrew Chess (Guest Lecturer) The MIT Biology Department core courses, 7.012, 7.013, and 7.014, all cover the same core material, which includes the fundamental principles of biochemistry, genetics, molecular biology, and cell biology. Biological function at the molecular level is particularly emphasized and covers the structure and regulation of genes, as well as, the structure and...

Topic: biology, biochemistry, genetics, molecular biology, recombinant DNA, cell cycle, cell signaling,...

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Lecture videos from 6.262 Discrete Stochastic Processes, Spring 2011. View the complete course: http://ocw.mit.edu/6-262S11 Instructor: Robert Gallager License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms

Topics: probability, Poisson processes, finite-state Markov chains, renewal processes, countable-state...

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34K

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Instructors: George Barbastathis, Colin Sheppard, Se Baek Oh This course provides an introduction to optical science with elementary engineering applications. Topics covered in geometrical optics include: ray-tracing, aberrations, lens design, apertures and stops, radiometry and photometry. Topics covered in wave optics include: basic electrodynamics, polarization, interference, wave-guiding, Fresnel and Fraunhofer diffraction, image formation, resolution, space-bandwidth product. Analytical...

Topics: optical science, elementary engineering applications, Geometrical optics, ray-tracing, aberrations,...

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Instructor: Dennis Freeman, Kendra Pugh This course provides an integrated introduction to electrical engineering and computer science, including modern software engineering, linear systems analysis, electronic circuits, and decision-making. The lecture videos provide an overview of each topic, while the recitation videos are designed to review key concepts. View the complete course: http://ocw.mit.edu/6-01SCS11

Topics: object-oriented programming, signals and systems, circuits, probability, search

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Dec 12, 2008
12/08

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MIT OpenCourseWare

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8.02 Classical Theory of Electromagnetism. In addition to the basic concepts of Electromagnetism, a vast variety of interesting topics are covered in this course: Lightning, Pacemakers, Electric Shock Treatment, Electrocardiograms, Metal Detectors, Musical Instruments, Magnetic Levitation, Bullet Trains, Electric Motors, Radios, TV, Car Coils, Superconductivity, Aurora Borealis, Rainbows, Radio Telescopes, Interferometers, Particle Accelerators (a.k.a. Atom Smashers or Colliders), Mass...

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Topic: Introduction to electromagnetism and electrostatics, electric charge, Coulomb's law, electric...

33,199
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Feb 11, 2011
02/11

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MIT OpenCourseWare

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To prosper, firms must develop major product and service innovations. Often, though, they don't know how. Recent research into the innovation process has made it possible to develop "breakthroughs" systematically. 15.356 presents several practical concept development methods, such as the "Lead User Method," where manufacturers learn from innovative customers. Expert guest speakers present case studies that show the "art" required to implement a concept development...

Topics: lead user method, innovations, innovation process, idea generation, brainstorming, concept...

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Feb 12, 2011
02/11

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MIT OpenCourseWare

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This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization.

Topics: Scientific computing: Fast Fourier Transform, finite differences, finite elements, spectral method,...

21,306
21K

Apr 13, 2016
04/16

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang, Cleve Moler Gilbert Strang and Cleve Moler provide an overview to their in-depth video series about differential equations and the MATLAB® ODE suite. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: ODE, ODE suite, MathWorks, MATLAB, ordinary differential equations, differential equations

156,163
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Apr 27, 2007
04/07

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MIT

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This course introduces students to the principles of computation. Upon completion of 6.001, students should be able to explain and apply the basic methods from programming languages to analyze computational systems, and to generate computational solutions to abstract problems. This is the MP4 version for smaller file size and iPod compatibility. "Structure and Interpretation of Computer Programs has been MIT's introductory pre-professional computer science subject since 1981. It emphasizes...

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Topics: ocw, mit, opencourseware

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Instructor: Jon Gruber, 14.01 students View the complete course: http://ocw.mit.edu/14-01SCF10 This course includes a full set of lecture videos and a selection of problem solving videos. In the lecture videos, Professor Jonathan Gruber covers the principles of microeconomics conceptually, mathematically, and graphically, giving students a holistic understanding of the subject matter. He then moves on to more advanced topics in microeconomics to provide further insight into its many different...

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Topics: microeconomics, producer theory, consumer theory

256,923
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Jan 6, 2009
01/09

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MIT OpenCourseWare

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Topic: algorithms, efficient algorithms, sorting, search trees, heaps, hashing, divide-and-conquer,...

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Dec 17, 2008
12/08

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MIT OpenCourseWare

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This subject deals primarily with equilibrium properties of macroscopic systems, basic thermodynamics, chemical equilibrium of reactions in gas and solution phase, and rates of chemical reactions.

Topic: thermodynamics, kinetics, equilibrium, macroscopic systems, state variables, law of thermodynamics,...

128,184
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Mar 20, 2009
03/09

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MIT OpenCourseWare

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This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications. License: Creative Commons BY-NC-SA More information at ocw.mit.edu/terms

Topic: linear algebra, networks, Lagrange multipliers, differential equations of equilibrium, Laplace's...

10,232
10K

Aug 27, 2018
08/18

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MIT OpenCourseWare

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View the complete course: https://ocw.mit.edu/15-071S17 Instructor: Dimitris Bertsimas Students of this course learn how to use data and analytics by examining real world examples and utilizing methods including linear and logistic regression, trees, text analytics, clustering, visualization, and optimization. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

Topics: data, optimization, analytics, linear regression, logistic regression, trees, text analytics,...

27,418
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Jul 9, 2015
07/15

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/6-858F14 Instructor: Nickolai Zeldovich This is a class on the design and implementation of secure computer systems, focusing on threat models, attacks that compromise security, and techniques for achieving security. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: computer security, operating system, network protocol, web security, information flow control,...

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View the complete course: http://ocw.mit.edu/2-003SCF11 Instructor: J. Kim Vandiver This course covers the basics of engineering dynamics. After this course, students will be able to evaluate free and forced vibration of linear multi-degree of freedom models of mechanical systems and matrix eigenvalue problems. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: kinematics, Lagrange, force, vibration, momentum, rigid bodies, work, energy, linear stability...

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Jan 31, 2019
01/19

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MIT OpenCourseWare

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MIT 8.06 Quantum Physics III, Spring 2018 Instructor: Barton Zwiebach View the complete course: https://ocw.mit.edu/8-06S18 This course is a continuation of 8.05 Quantum Physics II. It introduces some of the important model systems studied in contemporary physics, including two-dimensional electron systems, the fine structure of hydrogen, lasers, and particle scattering. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

Topics: 8.06, quantum physics, Hamiltonian, perturbation theory, perturbation expansion, Anharmonic...

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Aug 10, 2020
08/20

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MIT OpenCourseWare

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Instructor: Prof. Hazel Sive View the complete course: https://openlearninglibrary.mit.edu/pre-biology YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP629Egng0HfgRJfXBNTPw1le This self-paced course was originally designed to help prepare incoming MIT students for their first Introductory Biology Course (known at MIT as 7.01). It will also be useful for anyone preparing to take an equivalent college-level introductory biology class elsewhere. License: Creative Commons BY-NC-SA...

Topics: biology, cells, molecules, inheritance, genetics, DNA, RNA, tRNA, mutations, pedigrees, phenotype,...

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Jul 2, 2009
07/09

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MIT OpenCourseWare

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The MIT 5.111 Principles of Chemical Science, Fall 2008 course provides an introduction to the chemistry of biological, inorganic, and organic molecules. The emphasis is on basic principles of atomic and molecular electronic structure, thermodynamics, acid-base and redox equilibria, chemical kinetics, and catalysis. Instructors: Prof. Catherine Drennan, Dr. Elizabeth Vogel Taylor View the complete course at: http://ocw.mit.edu/5-111F08 License: Creative Commons BY-NC-SA More information at...

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Topics: introductory chemistry, atomic structure, molecular electronic structure, thermodynamics, acid-base...

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Instructor: Dr. Michelle Mischke This collection contains clips from lecture videos of MIT's Introduction to Biology classes. Each video will show the instructor explaining a concept that is covered in the session of the Fundamentals of Biology. View the complete course: http://ocw.mit.edu/7-01SCF11

Topics: Mendel, Mendel's laws, pea plants, experiments, inherited traits, controls, gene, allele, genotype,...

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Instructor: Dennis Freeman The analysis of signals and systems forms a key part of many modern technologies, including communications and feedback & control. These lectures give a conceptual and mathematical introduction to the topic, covering both analog and digital systems. View the complete course: http://ocw.mit.edu/MIT 6-003F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: discrete-time signal, continuous-time signal, linear time-invariant system, Fourier representation,...

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Nov 22, 2010
11/10

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MIT OpenCourseWare

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View the complete course at: http://ocw.mit.edu/res-18-006f10 Resource Description: Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time. About the Instructor: Herb Gross has taught math as senior lecturer at MIT and was...

Topics: calculus, single variable, sets, functions, derivatives, limits, differentiation, circular...

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Dec 5, 2008
12/08

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MIT OpenCourseWare

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Instructor: Walter Lewin 8.01 is a first-semester freshman physics class in Newtonian Mechanics, Fluid Mechanics, and Kinetic Gas Theory. In addition to the basic concepts of Newtonian Mechanics, Fluid Mechanics, and Kinetic Gas Theory, a variety of interesting topics are covered in this course: Binary Stars, Neutron Stars, Black Holes, Resonance Phenomena, Musical Instruments, Stellar Collapse, Supernovae, Astronomical observations from very high flying balloons (lecture 35), and you will be...

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Topic: units of measurement, powers of ten, dimensional analysis, measurement uncertainty, scaling...

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Jun 25, 2019
06/19

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MIT OpenCourseWare

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Instructor: Neha Narula, Tadge Dryja View the complete course: https://ocw.mit.edu/MAS-S62S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61KHzhg3JIJdK08JLSlcLId This course looks at the design of Bitcoin and other cryptocurrencies and how they function in practice, focusing on cryptography, game theory, and network architecture. NOTE: Please note that lectures 9, 19, 20, and 21 are not available. License: Creative Commons BY-NC-SA More information at...

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Topics: signatures, peer-to-peer networks, hashing, hash chains, e-cash, motivation, proof of work, POW,...

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Instructor: Prof. John Gabrieli This course is a survey of the scientific study of human nature, including how the mind works, and how the brain supports the mind. Topics include the mental and neural bases of perception, emotion, learning, memory, cognition, child development, personality, psychopathology, and social interaction. Students will consider how such knowledge relates to debates about nature and nurture, free will, consciousness, human differences, self, and society. View the...

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Topic: psychology

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Jun 8, 2016
06/16

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MIT OpenCourseWare

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MIT 15.S21 Nuts and Bolts of Business Plans, IAP 2014 View the complete course: http://ocw.mit.edu/15-S21IAP14 Instructor: Joe Hadzima General questions and answers on legal issues for the entrepreneur - what you always wanted to know about the law but were afraid to ask/pay for. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: business plan, venture, entrepreneurship, new business, MIT $50K Entrepreneurship Competition,...

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Apr 27, 2020
04/20

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MIT OpenCourseWare

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MIT A 2020 Vision of Linear Algebra, Spring 2020 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/2020-vision YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61iQEFiWLE21EJCxwmWvvek Professor Strang introduces his updated vision of how to start learning linear algebra, based on matrices. These brief videos provide an overview of his full Linear Algebra course on MIT OpenCourseWare. License: Creative Commons BY-NC-SA More information at...

Topics: linear algebra, matrix, matrices, column space, orthogonal vectors, eigenvalues, eigenvectors,...

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Mar 13, 2009
03/09

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/5-112F05 Instructors: Christopher Cummins, Sylvia Ceyer 5.112 is an introductory chemistry course for students with an unusually strong background in chemistry. Knowledge of calculus equivalent to 18.01 is recommended. Emphasis is on basic principles of atomic and molecular electronic structure, thermodynamics, acid-base and redox equilibria, chemical kinetics, and catalysis. The course also covers applications of basic principles to problems in...

Topic: introductory chemistry, atomic structure, molecular electronic structure, thermodynamics, acid-base...

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Oct 22, 2020
10/20

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MIT OpenCourseWare

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Instructor: Prof. Gary Gensler View the complete course: https://ocw.mit.edu/15-S08S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61Q_RVDn6srWbLV_zFnd9n0 This course is for students wishing to explore the ways in which new technologies are disrupting the financial services industry – driving material change in business models, products, applications and customer user interface. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More...

Topics: fintech, finance, artificial intelligence, AI, blockchain, APIs, payments, credit, trading, risk...

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Dec 11, 2013
12/13

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/2-627F11 Instructor: Tonio Buonassisi Complete lectures (20 videos, 60-75 min. each) plus two student project presentation sessions. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: solar energy, photovoltaics, renewable energy, solar cell, semiconductor, energy market

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Dec 15, 2014
12/14

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/8-333F13 Instructor: Mehran Kardar Statistical Mechanics is a probabilistic approach to equilibrium properties of large numbers of degrees of freedom. In this two-semester course, basic principles are examined. Topics include: Thermodynamics, probability theory, kinetic theory, classical statistical mechanics, interacting systems, quantum statistical mechanics, and identical particles. License: Creative Commons BY-NC-SA More information at...

Topics: thermodynamics, entropy, mehanics, microcanonical distributions, canonical distributions, grand...

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Feb 18, 2016
02/16

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MIT OpenCourseWare

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MIT 21L.011 The Film Experience, Fall 2013 View the complete course: http://ocw.mit.edu/21L-011F13 Instructor: David Thorburn This complete set of lecture videos provides a close analysis and criticism of a wide range of films, from the early silent period, classic Hollywood genres including musicals, thrillers and westerns, and European and Japanese art cinema. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: Film studies, cinema, silent films, Chaplin, Keaton, Altman, Hitchcock, De Sica, Truffaut, Renoir,...

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Apr 14, 2016
04/16

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MIT OpenCourseWare

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View the complete course: http://ocw.mit.edu/RESLL-005F12 Instructor: Jeremy Kepner This course focused on the signal processing on databases, based on detection theory and linear algebra with databases. By bringing together the concepts of strings and searching, student applied the big data analysis skills to new domains. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Topics: big data, data analytics, dynamic distributed dimensional data model, dectation theory, searching,...