New courses with Online Textbooks in all departments from MIT OpenCourseWare, provider of free and open MIT course materials. https://ocw.mit.edu/courses/ol/ 2021-10-06T20:28:28+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 In this course, we will explore what makes things in the world the way they are and why, to understand the science and consider the engineering. We learn not only why the physical world behaves the way it does, but also how to think with chemical intuition, which can’t be gained simply by observing the macroscopic world. This 2018 version of 3.091 by Jeffrey Grossman and the 2010 OCW version by Don Sadoway cover similar topics and both provide complete learning materials. This 2018 version also includes Jeffrey Grossman’s innovative Goodie Bags, Why This Matters, and CHEMATLAS content, as well as additional practice problems, quizzes, and exams. https://ocw.mit.edu/courses/materials-science-and-engineering/3-091-introduction-to-solid-state-chemistry-fall-2018 Fall 2018 Grossman, Jeffrey 2020-12-02T17:58:43+05:00 3.091 en-US scientific method atom chemical reaction balancing law of conservation of mass combustion reaction limiting reagent yield mole Avogadro’s number atomic mass units (AMUs) groups Main Group Elements Transition Elements alpha particles beta particles gamma rays nucleus protons atomic number neutrons mass number isotopes Bohr model quantization ground state excited states absorption emission photoelectric effect Photo-Electron Spectroscopy (PES) wave-particle duality Schrodinger Equation orbital wave function Aufbau principle electronic configuration Hund’s rule periodic trends Photo-electron Spectroscopy (PES) electron affinity Lewis Dot Diagrams octet rule Covalent bonds polarity Electronegativity expanded octet intermolecular forces (IMFs) ion-dipole interaction dipole-dipole induced dipoles London dispersion forces (LDF) hydrogen bonds continuous band of electronic state overlap band gap conduction band band gap conduction band valence band lattice sea of electrons high electrical conductivity high thermal conductivity high heat capacity ductility luster conductivity heat malleable half-filled valence bands long-range order crystal lattice radiation metal target atom x-ray generation medical imaging crystal lattice vacancies interstitial impurities self-interstitials substitutional impurities dislocations slip-planes silica crystalline solids Corning chain scission network modifier tempered compressive stress Le Chatelier's principle common ion effect acids bases naturalization polymers radical polymerization condensation polymerizationpolymer properties weight, branding, tactility cross linking 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 is the first semester of a one-year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including topology, complex analysis, representation theory, and algebraic geometry. https://ocw.mit.edu/courses/mathematics/18-785-number-theory-i-fall-2019 Fall 2019 Sutherland, Andrew 2020-04-23T14:42:04+05:00 18.785 en-US Absolute values Discrete valuations localization Dedekind domains Etale algebras Dedekind extensions Ideal Norm Dedekind-Kummer Theorem Galois extensions Artin map complete fields Valuation rings Hensel's lemmas Krasner's lemma Minkowski bound Dirichlet's unit theorm Zeta function Ray Class Ring of Adeles Idele group Chebotarev density theorem Global fields Tate cohomology Artin reciprocity 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 probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, normal, gamma and beta distributions; conditional probability; Bayes theorem; joint distributions; Chebyshev inequality; law of large numbers; and central limit theorem. https://ocw.mit.edu/courses/mathematics/18-600-probability-and-random-variables-fall-2019 Fall 2019 Sheffield, Scott 2020-04-06T16:49:43+05:00 18.600 en-US Probability spaces random variables distribution functions Binomial geometric hypergeometric Poisson distributions Uniform exponential normal gamma and beta distributions Conditional probability Bayes theorem joint distributions Chebyshev inequality law of large numbers central limit theorem 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 the applications of algebra to combinatorics. Topics include enumeration methods, permutations, partitions, partially ordered sets and lattices, Young tableaux, graph theory, matrix tree theorem, electrical networks, convex polytopes, and more. https://ocw.mit.edu/courses/mathematics/18-212-algebraic-combinatorics-spring-2019 Spring 2019 Postnikov, Alexander 2019-12-19T16:21:22+05:00 18.212 en-US enumeration methods permutations partitions partially ordered sets and lattices Young tableaux graph theory matrix tree theorem electrical networks convex polytopes 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 Shape grammars are systems of visual rules by which one shape may be transformed into another. By applying these rules recursively, a simple shape can be elaborated into a complex pattern. This course offers an in-depth introduction to shape grammars and their applications in architecture and related areas of design. More specifically, it involves manipulation of shapes in the algebras Uij, in the algebras Vij and Wij incorporating labels and weights, and in algebras formed as composites of these. Discussions center on rules and computations, shape and structure, and designs. https://ocw.mit.edu/courses/architecture/4-540-introduction-to-shape-grammars-i-fall-2018 Fall 2018 Stiny, George 2019-12-16T16:49:31+05:00 4.540 en-US shape grammars visual calculation ice rays schemas embedding recursion patterns styles Palladian maximal elements identity compositionality 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 Category theory is a relatively new branch of mathematics that has transformed much of pure math research. The technical advance is that category theory provides a framework in which to organize formal systems and by which to translate between them, allowing one to transfer knowledge from one field to another. But this same organizational framework also has many compelling examples outside of pure math. In this course, we will give seven sketches on real-world applications of category theory. https://ocw.mit.edu/courses/mathematics/18-s097-applied-category-theory-january-iap-2019 January IAP 2019 Spivak, David I. Fong, Brendan 2019-03-25T19:18:33+05:00 18.S097 en-US order adjunction set Galois connection monoidal preorder wiring diagram V-categories Bool-categories categories functors limits colimits monoidal categories hypergraph categories sheaves toposes 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 The goal of this course is to explore and develop plans of action for improving the job and career opportunities for today and tomorrow's workforce. If we take the right actions we can shape the future of work in ways that meet the needs of workers, families, and their economies and societies. To do so we first have to understand how the world of work is changing, how firms can compete and prosper and support good jobs and careers, and how to update the policies and practices governing the world of work. https://ocw.mit.edu/resources/res-15-003-shaping-the-future-of-work-15-662x-spring-2016 Spring 2016 Kochan, Thomas A. 2017-03-07T18:03:29+05:00 en-US future of work work labor career opportunities next generation workforce labor market the New Deal post-war social contract 1980s Saturn work systems alternate models global corporations organization labor union job security emerging models new technology collective negotiation negotiation 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 6.005 Software Construction introduces fundamental principles and techniques of software development, i.e., how to write software that is safe from bugs, easy to understand, and ready for change. The course includes problem sets and a final project. Important topics include specifications and invariants; testing; abstract data types; design patterns for object-oriented programming; concurrent programming and concurrency; and functional programming. The 6.005 website homepage from Spring 2016, along with all course materials, is available to OpenCourseWare users. https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-005-software-construction-spring-2016 Spring 2016 Miller, Robert Goldman, Max 2017-01-31T21:23:39+05:00 6.005 en-US Software Construction Software Engineering Static Checking Basic Java Testing Code Review Version Control Specifications Debugging Mutability Immutability Recursion Abstract Data Types ADTs Interfaces Data Types Regular Expressions and Grammars Parser Generator Concurrency Thread Safety Networking Queues Locks Synchronization GUI Graphical User Interfaces Map filter reduce Team version control 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 seeks to establish understanding of the development processes of societies and economies by studying several dimensions of sustainability (environmental, social, political, institutional, economy, organizational, relational, and personal) and the balance among them. It explores the basics of governmental intervention, focusing on areas such as the judicial system, environment, social security, and health, and builds skills to determine what type of policy is most appropriate. We also consider implications of new technologies on the financial sector: Internationalization of currencies, mobile payment systems, and cryptocurrencies, and discuss the institutional framework to ensure choices are sustainable across all dimensions and applications.  https://ocw.mit.edu/courses/sloan-school-of-management/15-014-applied-macro-and-international-economics-ii-spring-2016 Spring 2016 Rigobon, Roberto 2016-12-06T19:04:12+05:00 15.014 en-US macroeconomics international economics world economies global trade economic policy inflation interest rates exchange rates national economic strategies developing nations currency crisis transition economies global markets world bank IMF international monetary fund monetary policy depression unemployment international financial architecture 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 the concepts of system safety and how to analyze and design safer systems. Topics include the causes of accidents in general, and recent major accidents in particular; hazard analysis, safety-driven design techniques; design of human-automation interaction; integrating safety into the system engineering process; and managing and operating safety-critical systems. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-63j-system-safety-spring-2016 Spring 2016 Leveson, Nancy 2016-11-29T21:07:59+05:00 16.63J ESD.03J IDS.045J en-US 16.63J 16.63 ESD.03J ESD.03 hindsight bias system accident reports Systems Theoretic Process Analysis STPA System-Theoretic Accident Model and Processes STAMP human factors cyber security CAST analysis system theory accident models hazard analysis 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 important concepts and techniques in designing and operating safety-critical systems. Topics include the nature of risk, formal accident and human error models, causes of accidents, fundamental concepts of system safety engineering, system and software hazard analysis, designing for safety, fault tolerance, safety issues in the design of human-machine interaction, verification of safety, creating a safety culture, and management of safety-critical projects. Includes a class project involving the high-level system design and analysis of a safety-critical system. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-863j-system-safety-spring-2016 Spring 2016 Leveson, Nancy 2016-11-29T19:17:51+05:00 16.863J ESD.863J IDS.340J en-US ESD.863J ESD.863 16.863J 16.863 risk management human error models system safety engineering hazard analysis safety design fault tolerance safety-critical system human factors. cyber security Systems Theoretic Process Analysis (STPA) 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 offers an interactive introduction to discrete mathematics oriented toward computer science and engineering. The subject coverage divides roughly into thirds: Fundamental concepts of mathematics: Definitions, proofs, sets, functions, relations. Discrete structures: graphs, state machines, modular arithmetic, counting. Discrete probability theory. On completion of 6.042J, students will be able to explain and apply the basic methods of discrete (noncontinuous) mathematics in computer science. They will be able to use these methods in subsequent courses in the design and analysis of algorithms, computability theory, software engineering, and computer systems.Interactive site components can be found on the Unit pages in the left-hand navigational bar, starting with Unit 1: Proofs. https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-spring-2015 Spring 2015 Meyer, Albert R. Chlipala, Adam 2016-09-12T18:10:48+05:00 6.042J 18.062J en-US 6.042 6.042J 18.062J 18.062 formal logic notation proof methods induction sets relations graph theory integer congruences asymptotic notation growth of functions permutations combinations counting discrete probability 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 the algorithmic and machine learning foundations of computational biology combining theory with practice. We cover both foundational topics in computational biology, and current research frontiers. We study fundamental techniques, recent advances in the field, and work directly with current large-scale biological datasets. https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-047-computational-biology-fall-2015 Fall 2015 Kellis, Manolis 2016-06-23T15:39:59+05:00 6.047 6.878 HST.507 en-US Genomes Networks Evolution computational biology genomics comparative genomics epigenomics functional genomics, motifs phylogenomics personal genomics algorithms machine learning biology biological datasets proteomics sequence analysis sequence alignment genome assembly network motifs network evolution graph algorithms phylogenetics python probability statistics entropy information 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 principal concepts and methods of heat transfer. The objectives of this integrated subject are to develop the fundamental principles and laws of heat transfer and to explore the implications of these principles for system behavior; to formulate the models necessary to study, analyze and design heat transfer systems through the application of these principles; to develop the problem-solving skills essential to good engineering practice of heat transfer in real-world applications. https://ocw.mit.edu/courses/mechanical-engineering/2-051-introduction-to-heat-transfer-fall-2015 Fall 2015 Varanasi, Kripa 2016-06-06T19:03:03+05:00 2.051 en-US Conduction Convection Radiation Fourier Law Energy Balance First law of thermodynamics Thermal resistance network Thermal Energy Generation Fins Heat Transfer in Fins 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 focuses on feedback control mechanisms that living organisms implement at the molecular level to execute their functions, with emphasis on techniques to design novel systems with prescribed behaviors. Students will learn how biological functions can be understood and designed using notions from feedback control. https://ocw.mit.edu/courses/mechanical-engineering/2-18-biomolecular-feedback-systems-spring-2015 Spring 2015 Del Vecchio, Domitilla 2015-11-04T09:57:51+05:00 2.18 2.180 en-US biomolecular feedback systems systems biology modeling feedback cell system control dynamical input/output synthetic biology techniques transcription translation transcriptional regulation post-transcriptional regulation cellular subsystems dynamic behavior analysis equilibrium robustness oscillatory behavior bifurcations model reduction stochastic biochemical simulation linear circuit design biological circuit design negative autoregulation toggle switch repressilator activator-repressor clock IFFL incoherent feedforward loop bacterial chemotaxis interconnecting components modularity retroactivity gene circuit design 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 class introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation (interpolation, least squares and statistical regression), integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches. Examples are drawn from mechanical engineering disciplines, in particular from robotics, dynamics, and structural analysis. Assignments require MATLAB® programming. https://ocw.mit.edu/courses/mechanical-engineering/2-086-numerical-computation-for-mechanical-engineers-fall-2014 Fall 2014 Hadjiconstantinou, Nicolas G. Patera, Anthony T. 2015-07-09T15:38:51+05:00 2.086 en-US MATLAB numerical analysis programming physical modeling calculus linear algebra Monte Carlo Method differential equations nonlinear systems variable types data structure flow control probability statistics robotics 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 probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, normal, gamma and beta distributions; conditional probability; Bayes theorem; joint distributions; Chebyshev inequality; law of large numbers; and central limit theorem. https://ocw.mit.edu/courses/mathematics/18-440-probability-and-random-variables-spring-2014 Spring 2014 Sheffield, Scott 2015-05-14T17:12:51+05:00 18.440 en-US Probability spaces random variables distribution functions Binomial geometric hypergeometric Poisson distributions Uniform exponential normal gamma and beta distributions Conditional probability Bayes theorem joint distributions Chebyshev inequality law of large numbers And central limit theorem 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 half-semester course introduces computational methods for solving physical problems, especially in nuclear applications. The course covers ordinary and partial differential equations for particle orbit, and fluid, field, and particle conservation problems; their representation and solution by finite difference numerical approximations; iterative matrix inversion methods; stability, convergence, accuracy and statistics; and particle representations of Boltzmann's equation and methods of solution such as Monte-Carlo and particle-in-cell techniques. https://ocw.mit.edu/courses/nuclear-engineering/22-15-essential-numerical-methods-fall-2014 Fall 2014 Hutchinson, Ian 2015-04-01T20:49:38+05:00 22.15 en-US MATLAB Octave numerical methods numerical analysis computational methods differential equations approximation finite difference iteration 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 the fundamental concepts of structural mechanics with applications to marine, civil, and mechanical structures. Topics include analysis of small deflections of beams, moderately large deflections of beams, columns, cables, and shafts; elastic and plastic buckling of columns, thin walled sections and plates; exact and approximate methods; energy methods; principle of virtual work; introduction to failure analysis of structures. We will include examples from civil, mechanical, offshore, and ship structures such as the collision and grounding of ships. https://ocw.mit.edu/courses/mechanical-engineering/2-080j-structural-mechanics-fall-2013 Fall 2013 Wierzbicki, Tomasz 2015-01-18T01:52:39+05:00 2.080J 1.573J en-US vector tensor static equilibrium strain stress Mohr's circle elastic virtual work minimum total potential energy beam deflections energy method shear stress beam shaft experimental mechanics stability Rayleigh-Ritz quotient column buckling load plate yield plasticity cylinder fracture implosion submarine Columbia Space Shuttle BP Deepwater Horizon crashworthiness 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