New OCW Scholar Courses in all departments from MIT OpenCourseWare, provider of free and open MIT course materials. https://ocw.mit.edu/courses/ocw-scholar-courses/ 2022-02-11T17:21:28+05:00 MIT OpenCourseWare https://ocw.mit.edu en-US Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm Vibrations and waves are everywhere. If you take any system and disturb it from a stable equilibrium, the resultant motion will be waves and vibrations. Think of a guitar string—pluck the string, and it vibrates. The sound waves generated make their way to our ears, and we hear the string’s sound. Our eyes see what’s happening because they receive the electromagnetic waves of the light reflected from the guitar string, so that we can recognize the beautiful sinusoidal waves on the string. In fact, without vibrations and waves, we could not recognize the universe around us at all! The amazing thing is that we can describe many fascinating phenomena arising from very different physical systems with mathematics. This course will provide you with the concepts and mathematical tools necessary to understand and explain a broad range of vibrations and waves. You will learn that waves come from many interconnected (coupled) objects when they are vibrating together. We will discuss many of these phenomena, along with related topics, including mechanical vibrations and waves, sound waves, electromagnetic waves, optics, and gravitational waves. https://ocw.mit.edu/courses/physics/8-03sc-physics-iii-vibrations-and-waves-fall-2016 Fall 2016 Lee, Yen-Jie 2018-04-18T20:40:04+05:00 8.03SC en-US mechanical vibrations waves simple harmonic motion superposition forced vibrations resonance coupled oscillations normal modes vibrations of continuous systems reflection refraction phase group velocity. Optics wave solutions to Maxwell's equations polarization Snell's Law interference Huygens's principle MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course examines the chemical and physical properties of the cell and its building blocks, with special emphasis on the structures of proteins and principles of catalysis, as well as the chemistry of organic / inorganic cofactors required for chemical transformations within the cell. Topics encompass the basic principles of metabolism and regulation in pathways, including glycolysis, gluconeogenesis, fatty acid synthesis / degradation, pentose phosphate pathway, Krebs cycle and oxidative phosphorylation. Course Format This OCW Scholar course, designed for independent study, is closely modeled on the course taught on the MIT campus. The on-campus course has two types of class sessions: Lectures and recitations. The lectures meet three times each week and recitations meet once a week. In recitations, an instructor or Teaching Assistant elaborates on concepts presented in lecture, working through new examples with student participation, and answers questions. MIT students who take the corresponding residential class typically report an average of 10–15 hours spent each week, including lectures, recitations, readings, homework, and exams. All students are encouraged to supplement the textbooks and readings with their own research. The Scholar course has three major learning units, called Modules. Each module has been divided into a sequence of lecture sessions that include: Textbook ReadingsLecture Notes or StoryboardsA video by Professor JoAnne Stubbe or Professor John EssigmannProblem Sets and solutions To help guide your learning, each of these problem sets are accompanied by Problem Solving Videos where Dr. Bogdan Fedeles solves one of the problems from the set. https://ocw.mit.edu/courses/chemistry/5-07sc-biological-chemistry-i-fall-2013 Fall 2013 Essigmann, John Stubbe, JoAnne Fedeles, Bogdan 2017-08-22T16:37:56+05:00 5.07SC en-US protein structure enzymes catalysis biochemical transformations organic cofactors inorganic cofactors redox cofactors metabolism glycolysis glycogen synthesis gluconeogenesis fatty acid synthesis fatty acid degradation pentose phosphate pathway Krebs cycle oxidative phosphorylation MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This 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. One year of high school chemistry is the expected background for this freshman-level course. The aims include developing a unified and intuitive view of how electronic structure controls the three-dimensional shape of molecules, the physical and chemical properties of molecules in gases, liquids and solids, and ultimately the assembly of macromolecules as in polymers and DNA. Relationships between chemistry and other fundamental sciences such as biology and physics are emphasized, as are the relationships between the science of chemistry to its applications in environmental science, atmospheric chemistry and electronic devices.  Acknowledgements Professor Drennan would like to acknowledge the contributions of MIT Lecturer Dr. Elizabeth Vogel Taylor, Professor Sylvia Ceyer, and Professor Robert Silbey to the development of this course and its materials. https://ocw.mit.edu/courses/chemistry/5-111sc-principles-of-chemical-science-fall-2014 Fall 2014 Drennan, Catherine 2017-08-03T20:48:55+05:00 5.111SC en-US chemistry biological molecules inorganic molecules organic molecules atomic structure molecular electronic structure thermodynamics acid-base equilibrium redox equilibrium chemical kinetics catalysis MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This first course in the physics curriculum introduces classical mechanics. Historically, a set of core concepts—space, time, mass, force, momentum, torque, and angular momentum—were introduced in classical 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 angular momentum provided a second parallel approach to solving many of the same problems. In this course, we will investigate both approaches: Force and conservation laws. Our goal is to develop a conceptual understanding of the core concepts, a familiarity with the experimental verification of our theoretical laws, and an ability to apply the theoretical framework to describe and predict the motions of bodies. https://ocw.mit.edu/courses/physics/8-01sc-classical-mechanics-fall-2016 Fall 2016 Chakrabarty, Deepto Dourmashkin, Peter Tomasik, Michelle Frebel, Anna Vuletic, Vladan 2017-06-02T17:19:25+05:00 8.01SC en-US classical mechanics Space and time straight-line kinematics motion in a plane forces and equilibrium experimental basis of Newton's laws particle dynamics universal gravitation collisions and conservation laws work and potential energy vibrational motion conservative forces inertial forces and non-inertial frames central force motions rigid bodies and rotational dynamics MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course introduces students to the modeling, quantification, and analysis of uncertainty.  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. https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-041sc-probabilistic-systems-analysis-and-applied-probability-fall-2013 Fall 2013 Tsitsiklis, John 2014-02-26T21:05:07+05:00 6.041SC en-US probability probability models bayes rule discrete random variables continuous random variables bernoulli process poisson process markov chains central limit theorem statistical inference MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics covered include kinematics, force-momentum formulation for systems of particles and rigid bodies in planar motion, work-energy concepts, virtual displacements and virtual work. Students will also become familiar with the following topics: Lagrange's equations for systems of particles and rigid bodies in planar motion, and linearization of equations of motion. 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. https://ocw.mit.edu/courses/mechanical-engineering/2-003sc-engineering-dynamics-fall-2011 Fall 2011 Vandiver, J. Kim Gossard, David 2013-09-03T21:47:19+05:00 2.003SC 1.053J en-US dynamics and vibrations lumped-parameter models kinematics momentum systems of particles and rigid bodies work-energy concepts virtual displacements and virtual work Lagrange's equations equations of motion linear stability analysis free and forced vibration linear multi-degree of freedom models matrix eigenvalue problems MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm Fundamentals of Biology focuses on the basic principles of biochemistry, molecular biology, genetics, and recombinant DNA. These principles are necessary to understanding the basic mechanisms of life and anchor the biological knowledge that is required to understand many of the challenges in everyday life, from human health and disease to loss of biodiversity and environmental quality. https://ocw.mit.edu/courses/biology/7-01sc-fundamentals-of-biology-fall-2011 Fall 2011 Lander, Eric Weinberg, Robert Jacks, Tyler Sive, Hazel Walker, Graham Chisholm, Sallie Mischke, Michelle 2012-05-09T17:29:00+05:00 7.01SC en-US amino acids carboxyl group amino group side chains polar hydrophobic primary structure secondary structure tertiary structure quaternary structure x-ray crystallography alpha helix beta sheet ionic bond non-polar bond van der Waals interactions proton gradient cyclic photophosphorylation sunlight ATP chlorophyll chlorophyll a electrons hydrogen sulfide biosynthesis non-cyclic photophosphorylation photosystem II photosystem I cyanobacteria chloroplast stroma thylakoid membrane Genetics Mendel Mendel's Laws cloning restriction enzymes vector insert DNA ligase library E.Coli phosphatase yeast transformation ARG1 gene ARG1 mutant yeast yeast wild-type cloning by complementation Human Beta Globin gene protein tetramer vectors antibodies human promoter splicing mRNA cDNA reverse transcriptase plasmid electrophoresis restriction enzymes vector DNA sequencing primer template capillary tube laser detector human genome project recombinant DNA clone primer primer walking subcloning computer assembly shotgun sequencing open reading frame databases polymerase chain reaction (PCR) polymerase nucleotides Thermus aquaticus Taq polymerase thermocycler resequencing in vitro fertilization pre-implantation diagnostics forensics recombinant DNA genetic engineering DNA sequences therapeutic proteins E. coli DNA sequencing disease-causing mutations cleavage of DNA bacterial transformation recombinant DNA revolution biotechnology industry Robert Swanson toxin gene pathogenic bacterium biomedical research S. Pyogenes origin of replication MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm 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. https://ocw.mit.edu/courses/brain-and-cognitive-sciences/9-00sc-introduction-to-psychology-fall-2011 Fall 2011 Gabrieli, John 2012-05-01T18:18:05+05:00 9.00SC en-US psychology brain vision attention consciousness learning memory language thinking intelligence emotion personality human development stress psychopathology social psychology MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm 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. https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-00sc-introduction-to-computer-science-and-programming-spring-2011 Spring 2011 Guttag, John 2012-03-02T19:47:24+05:00 6.00SC en-US Python programming algorithms dynamic programming object-oriented programming debugging problem solving recursion iteration search algorithms program efficiency order of growth memoization hashing object classes inheritance Monte Carlo simulation curve fitting optimization clustering queuing networks data sampling MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course provides an integrated introduction to electrical engineering and computer science, taught using substantial laboratory experiments with mobile robots. Our primary goal is for you to learn to appreciate and use the fundamental design principles of modularity and abstraction in a variety of contexts from electrical engineering and computer science. Our second goal is to show you that making mathematical models of real systems can help in the design and analysis of those systems. Finally, we have the more typical goals of teaching exciting and important basic material from electrical engineering and computer science, including modern software engineering, linear systems analysis, electronic circuits, and decision-making. https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-01sc-introduction-to-electrical-engineering-and-computer-science-i-spring-2011 Spring 2011 Kaelbling, Leslie White, Jacob Abelson, Harold Freeman, Dennis Lozano-Pérez, Tomás Chuang, Isaac 2012-02-13T20:10:04+05:00 6.01SC en-US Python programming object-oriented programming state machines signals and systems linear time-invariant LTI poles circuits op-amps Thevenin Norton superposition probability state estimation search algorithms MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm 14.01 Principles of Microeconomics is an introductory undergraduate course that teaches the fundamentals of microeconomics. This course introduces microeconomic concepts and analysis, supply and demand analysis, theories of the firm and individual behavior, competition and monopoly, and welfare economics. Students will also be introduced to the use of microeconomic applications to address problems in current economic policy throughout the semester. This course is a core subject in MIT's undergraduate Energy Studies Minor. This Institute-wide program complements the deep expertise obtained in any major with a broad understanding of the interlinked realms of science, technology, and social sciences as they relate to energy and associated environmental challenges. https://ocw.mit.edu/courses/economics/14-01sc-principles-of-microeconomics-fall-2011 Fall 2011 Gruber, Jonathan 2012-02-10T18:49:24+05:00 14.01SC en-US Microeconomics prices normative economics positive economics microeconomic applications supply demand equilibrium demand shift supply shift government interference elasticity revenue empirical economics consumer theory preference assumptions indifference curves utility functions marginal utility budget constraints marginal rate of transformation opportunity cost constrained utility maximization corner solutions Engel curves income effect substitution effect Giffin good labor economics child labor producer theory variable inputs fixed inputs firm production functions marginal rate of technical substitution returns to scale productivity perfect competition search theory residual demand shutdown decisions market equilibrium agency problem welfare economics consumer surplus producer surplus dead weight loss monopoly oligopoly market power price discrimination price regulation antitrust policy mergers cartel game theory Nash equilibrium Cournot model duopoly non-cooperative competition Bertrand competition factor markets international trade uncertainty capital markets intertemporal choice real interest rate compounding inflation investment discount rate net present value income distribution social welfare function Utilitarianism Raulsian criteria Nozickian commodity egalitarianism isowelfare curves social insurance social security moral hazard taxation EITC healthcare PPACA MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering. https://ocw.mit.edu/courses/mathematics/18-03sc-differential-equations-fall-2011 Fall 2011 Mattuck, Arthur Miller, Haynes Orloff, Jeremy Lewis, John 2012-02-08T19:08:08+05:00 18.03SC en-US Ordinary Differential Equations ODE modeling physical systems first-order ODE's Linear ODE's second order ODE's second order ODE's with constant coefficients Undetermined coefficients variation of parameters Sinusoidal signals exponential signals oscillations damping resonance Complex numbers and exponentials Fourier series periodic solutions Delta functions convolution Laplace transform methods Matrix systems first order linear systems eigenvalues and eigenvectors Non-linear autonomous systems critical point analysis phase plane diagrams MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. It parallels the combination of theory and applications in Professor Strang’s textbook Introduction to Linear Algebra. https://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011 Fall 2011 Strang, Gilbert 2012-01-24T21:18:50+05:00 18.06SC en-US matrix theory linear algebra systems of equations vector spaces determinants eigenvalues similarity positive definite matrices least-squares approximations stability of differential equations networks Fourier transforms Markov processes MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm 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. https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010 Fall 2010 Jerison, David 2011-01-12T17:16:43+05:00 18.01SC en-US differentiation of functions integration of functions limits continuity differentiation rules extremum problems definite integration indefinite integration fundamental theorem of calculus techniques of integration approximation of definite integrals improper integrals l'Hôpital's rule MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm 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. https://ocw.mit.edu/courses/materials-science-and-engineering/3-091sc-introduction-to-solid-state-chemistry-fall-2010 Fall 2010 Sadoway, Donald 2011-01-11T22:49:10+05:00 3.091SC en-US solid state chemistry atomic structure atomic bonding crystal structure crystalline solid periodic table electron shell x-ray spectroscopy amorphous solid reaction kinetics aqueous solution solid solution biomaterial polymer semiconductor phase diagram material processing MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm 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. https://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010 Fall 2010 Auroux, Denis 2010-12-20T16:04:13+05:00 18.02SC en-US calculus calculus of several variables vector algebra determinants matrix matrices vector-valued function space motion scalar function partial differentiation gradient optimization techniques double integrals line integrals exact differential conservative fields Green's theorem triple integrals surface integrals divergence theorem Stokes' theorem applications MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm