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18.336 Numerical Methods for Partial Differential Equations (MIT) 18.336 Numerical Methods for Partial Differential Equations (MIT)

Description

This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods. This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods.

Subjects

advection equation | advection equation | heat equation | heat equation | wave equation | wave equation | Airy equation | Airy equation | convection-diffusion problems | convection-diffusion problems | KdV equation | KdV equation | hyperbolic conservation laws | hyperbolic conservation laws | Poisson equation | Poisson equation | Stokes problem | Stokes problem | Navier-Stokes equations | Navier-Stokes equations | interface problems | interface problems | consistency | consistency | stability | stability | convergence | convergence | Lax equivalence theorem | Lax equivalence theorem | error analysis | error analysis | Fourier approaches | Fourier approaches | staggered grids | staggered grids | shocks | shocks | front propagation | front propagation | preconditioning | preconditioning | multigrid | multigrid | Krylov spaces | Krylov spaces | saddle point problems | saddle point problems | finite differences | finite differences | finite volumes | finite volumes | finite elements | finite elements | ENO/WENO | ENO/WENO | spectral methods | spectral methods | projection approaches for incompressible ows | projection approaches for incompressible ows | level set methods | level set methods | particle methods | particle methods | direct and iterative methods | direct and iterative methods

License

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18.335J Numerical Methods of Applied Mathematics I (MIT) 18.335J Numerical Methods of Applied Mathematics I (MIT)

Description

IEEE-standard, iterative and direct linear system solution methods, eigendecomposition and model-order reduction, fast Fourier transforms, multigrid, wavelets and other multiresolution methods, matrix sparsification. Nonlinear root finding (Newton's method). Numerical interpolation and extrapolation. Quadrature.Technical RequirementsFile decompression software, such as Winzip or StuffIt, is required to open the .tar files found on this course site. The .tar files contain additional files which require software as well. MATLAB® software is required to run the .m files.Postscript viewer software, such as Ghostscript/Ghostview, can be used to view the .ps files.Ghostscript/Ghostview, Adobe Photoshop, and Adobe Illustrator are among the software tools that can be used to view the .ep IEEE-standard, iterative and direct linear system solution methods, eigendecomposition and model-order reduction, fast Fourier transforms, multigrid, wavelets and other multiresolution methods, matrix sparsification. Nonlinear root finding (Newton's method). Numerical interpolation and extrapolation. Quadrature.Technical RequirementsFile decompression software, such as Winzip or StuffIt, is required to open the .tar files found on this course site. The .tar files contain additional files which require software as well. MATLAB® software is required to run the .m files.Postscript viewer software, such as Ghostscript/Ghostview, can be used to view the .ps files.Ghostscript/Ghostview, Adobe Photoshop, and Adobe Illustrator are among the software tools that can be used to view the .ep

Subjects

IEEE-standard | IEEE-standard | iterative and direct linear system solution methods | iterative and direct linear system solution methods | eigendecomposition and model-order reduction | eigendecomposition and model-order reduction | fast Fourier transforms | fast Fourier transforms | multigrid | multigrid | wavelets | wavelets | other multiresolution methods | other multiresolution methods | matrix sparsification | matrix sparsification | Nonlinear root finding (Newton's method) | Nonlinear root finding (Newton's method) | Numerical interpolation | Numerical interpolation | Numerical extrapolation | Numerical extrapolation | Quadrature | Quadrature | 18.335 | 18.335 | 6.337 | 6.337

License

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ESD.172J X PRIZE Workshop: Grand Challenges in Energy (MIT) ESD.172J X PRIZE Workshop: Grand Challenges in Energy (MIT)

Description

Includes audio/video content: AV selected lectures. In 2004, the Ansari X PRIZE for suborbital spaceflight captured the public's imagination and revolutionized an industry, leveraging a $10M prize purse into over $100M in innovation. Building from that success, the X PRIZE Foundation is now developing new prizes to focus innovation around "Grand Challenge" themes, including genomics, energy, healthcare, and education. This course will examine the intersection of incentives and innovation, drawing on economic models, historic examples, and recent experience of the X PRIZE Foundation to help develop a future prize in Energy Storage Technologies. Includes audio/video content: AV selected lectures. In 2004, the Ansari X PRIZE for suborbital spaceflight captured the public's imagination and revolutionized an industry, leveraging a $10M prize purse into over $100M in innovation. Building from that success, the X PRIZE Foundation is now developing new prizes to focus innovation around "Grand Challenge" themes, including genomics, energy, healthcare, and education. This course will examine the intersection of incentives and innovation, drawing on economic models, historic examples, and recent experience of the X PRIZE Foundation to help develop a future prize in Energy Storage Technologies.

Subjects

ESD.172 | ESD.172 | EC.421 | EC.421 | energy | energy | competition | competition | innovation | innovation | incentivize prizes | incentivize prizes | resource allocation | resource allocation | innovation incentives | innovation incentives | Ansari | Ansari | X PRIZE | X PRIZE | economic models of innovation | economic models of innovation | energy storage | energy storage | grid-scale storage | grid-scale storage | prize matrix | prize matrix | genomics | genomics | Archon X PRIZE | Archon X PRIZE | Progressive Automotive X PRIZE | Progressive Automotive X PRIZE | grand challenges | grand challenges

License

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 http://ocw.mit.edu/terms/index.htm

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2.29 Numerical Fluid Mechanics (MIT) 2.29 Numerical Fluid Mechanics (MIT)

Description

This course will provide students with an introduction to numerical methods and MATLAB®. Topics covered throughout the course will include: errors, condition numbers and roots of equations; Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis, and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; Lagrangian Coherent Structures. Subject includes a final research project. This course will provide students with an introduction to numerical methods and MATLAB®. Topics covered throughout the course will include: errors, condition numbers and roots of equations; Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis, and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; Lagrangian Coherent Structures. Subject includes a final research project.

Subjects

errors | errors | condition numbers and roots of equations | condition numbers and roots of equations | Navier-Stokes | Navier-Stokes | direct and iterative methods for linear systems | direct and iterative methods for linear systems | finite differences for elliptic | finite differences for elliptic | parabolic and hyperbolic equations | parabolic and hyperbolic equations | Fourier decomposition | error analysis | and stability | Fourier decomposition | error analysis | and stability | high-order and compact finite-differences | high-order and compact finite-differences | finite volume methods | finite volume methods | time marching methods | time marching methods | Navier-Stokes solvers | Navier-Stokes solvers | grid generation | grid generation | finite volumes on complex geometries | finite volumes on complex geometries | finite element methods | finite element methods | spectral methods | spectral methods | boundary element and panel methods | boundary element and panel methods | turbulent flows | turbulent flows | boundary layers | boundary layers | Lagrangian Coherent Structures | Lagrangian Coherent Structures

License

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 http://ocw.mit.edu/terms/index.htm

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3.986 The Human Past: Introduction to Archaeology (MIT) 3.986 The Human Past: Introduction to Archaeology (MIT)

Description

This class introduces the multidisciplinary nature of archaeology, both in theory and practice. Lectures provide a comparative examination of the origins of agriculture and the rise of early civilizations in the ancient Near East and Mesoamerica. The laboratory sessions provide practical experience in aspects of archaeological field methods and analytical techniques including the examination of stone, ceramic, and metal artifacts and bone materials. Lab sessions have occasional problem sets which are completed outside of class. This class introduces the multidisciplinary nature of archaeology, both in theory and practice. Lectures provide a comparative examination of the origins of agriculture and the rise of early civilizations in the ancient Near East and Mesoamerica. The laboratory sessions provide practical experience in aspects of archaeological field methods and analytical techniques including the examination of stone, ceramic, and metal artifacts and bone materials. Lab sessions have occasional problem sets which are completed outside of class.

Subjects

Human | Human | hunter/gatherer | hunter/gatherer | society | society | history | history | agriculture | agriculture | prehistoric | prehistoric | prehistory | prehistory | Mesoamerica | Mesoamerica | civilization | civilization | ancient civilization | ancient civilization | technology | technology | urbanization | urbanization | Neolithic | Neolithic | Sumer | Sumer | Natufian | Natufian | Uruk | Uruk | Maya | Maya | Olmec | Olmec | Tehuancan | Tehuancan | decline | decline | collapse | collapse | stone age | stone age | city-state | city-state | Universal Transverse Mercator grid | Universal Transverse Mercator grid | UTM | UTM

License

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 http://ocw.mit.edu/terms/index.htm

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7.346 Synaptic Plasticity and Memory, from Molecules to Behavior (MIT) 7.346 Synaptic Plasticity and Memory, from Molecules to Behavior (MIT)

Description

In this course we will discover how innovative technologies combined with profound hypotheses have given rise to our current understanding of neuroscience. We will study both new and classical primary research papers with a focus on the plasticity between synapses in a brain structure called the hippocampus, which is believed to underlie the ability to create and retrieve certain classes of memories. We will discuss the basic electrical properties of neurons and how they fire. We will see how firing properties can change with experience, and we will study the biochemical basis of these changes. We will learn how molecular biology can be used to specifically change the biochemical properties of brain circuits, and we will see how these circuits form a representation of space giving rise to In this course we will discover how innovative technologies combined with profound hypotheses have given rise to our current understanding of neuroscience. We will study both new and classical primary research papers with a focus on the plasticity between synapses in a brain structure called the hippocampus, which is believed to underlie the ability to create and retrieve certain classes of memories. We will discuss the basic electrical properties of neurons and how they fire. We will see how firing properties can change with experience, and we will study the biochemical basis of these changes. We will learn how molecular biology can be used to specifically change the biochemical properties of brain circuits, and we will see how these circuits form a representation of space giving rise to

Subjects

synapse | synapse | memory | memory | neuroscience | neuroscience | plasticity | plasticity | hippocampus | hippocampus | LTP | LTP | molecular mechanism | molecular mechanism | Morris water maze | Morris water maze | place cells | place cells | NMDA | NMDA | synaptic tagging | synaptic tagging | long term depression | long term depression | cortex | cortex | synaptic plasticity | synaptic plasticity | neuronal circuits | neuronal circuits | specificity | specificity | CA1 | CA1 | grid cells | grid cells | schema | schema | fear memory | fear memory | biochemistry | biochemistry

License

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18.337J Parallel Computing (MIT) 18.337J Parallel Computing (MIT)

Description

This is an advanced interdisciplinary introduction to applied parallel computing on modern supercomputers. It has a hands-on emphasis on understanding the realities and myths of what is possible on the world's fastest machines. We will make prominent use of the Julia Language, a free, open-source, high-performance dynamic programming language for technical computing. This is an advanced interdisciplinary introduction to applied parallel computing on modern supercomputers. It has a hands-on emphasis on understanding the realities and myths of what is possible on the world's fastest machines. We will make prominent use of the Julia Language, a free, open-source, high-performance dynamic programming language for technical computing.

Subjects

cloud computing | cloud computing | dense linear algebra | dense linear algebra | sparse linear algebra | sparse linear algebra | N-body problems | N-body problems | multigrid | multigrid | fast-multipole | fast-multipole | wavelets | wavelets | Fourier transforms | Fourier transforms | partitioning | partitioning | mesh generation | mesh generation | applications oriented architecture | applications oriented architecture | parallel programming paradigms | parallel programming paradigms | MPI | MPI | data parallel systems | data parallel systems | Star-P | Star-P | parallel Python | parallel Python | parallel Matlab | parallel Matlab | graphics processors | graphics processors | virtualization | virtualization | caches | caches | vector processors | vector processors | VHLLs | VHLLs | Very High Level Languages | Very High Level Languages | Julia programming language | Julia programming language | distributed parallel execution | distributed parallel execution

License

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 http://ocw.mit.edu/terms/index.htm

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18.327 Wavelets, Filter Banks and Applications (MIT) 18.327 Wavelets, Filter Banks and Applications (MIT)

Description

Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications. Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

Subjects

Discrete-time filters | Discrete-time filters | convolution | convolution | Fourier transform | Fourier transform | owpass and highpass filters | owpass and highpass filters | Sampling rate change operations | Sampling rate change operations | upsampling and downsampling | upsampling and downsampling | ractional sampling | ractional sampling | interpolation | interpolation | Filter Banks | Filter Banks | time domain (Haar example) and frequency domain | time domain (Haar example) and frequency domain | conditions for alias cancellation and no distortion | conditions for alias cancellation and no distortion | perfect reconstruction | perfect reconstruction | halfband filters and possible factorizations | halfband filters and possible factorizations | Modulation and polyphase representations | Modulation and polyphase representations | Noble identities | Noble identities | block Toeplitz matrices and block z-transforms | block Toeplitz matrices and block z-transforms | polyphase examples | polyphase examples | Matlab wavelet toolbox | Matlab wavelet toolbox | Orthogonal filter banks | Orthogonal filter banks | paraunitary matrices | paraunitary matrices | orthogonality condition (Condition O) in the time domain | orthogonality condition (Condition O) in the time domain | modulation domain and polyphase domain | modulation domain and polyphase domain | Maxflat filters | Maxflat filters | Daubechies and Meyer formulas | Daubechies and Meyer formulas | Spectral factorization | Spectral factorization | Multiresolution Analysis (MRA) | Multiresolution Analysis (MRA) | requirements for MRA | requirements for MRA | nested spaces and complementary spaces; scaling functions and wavelets | nested spaces and complementary spaces; scaling functions and wavelets | Refinement equation | Refinement equation | iterative and recursive solution techniques | iterative and recursive solution techniques | infinite product formula | infinite product formula | filter bank approach for computing scaling functions and wavelets | filter bank approach for computing scaling functions and wavelets | Orthogonal wavelet bases | Orthogonal wavelet bases | connection to orthogonal filters | connection to orthogonal filters | orthogonality in the frequency domain | orthogonality in the frequency domain | Biorthogonal wavelet bases | Biorthogonal wavelet bases | Mallat pyramid algorithm | Mallat pyramid algorithm | Accuracy of wavelet approximations (Condition A) | Accuracy of wavelet approximations (Condition A) | vanishing moments | vanishing moments | polynomial cancellation in filter banks | polynomial cancellation in filter banks | Smoothness of wavelet bases | Smoothness of wavelet bases | convergence of the cascade algorithm (Condition E) | convergence of the cascade algorithm (Condition E) | splines | splines | Bases vs. frames | Bases vs. frames | Signal and image processing | Signal and image processing | finite length signals | finite length signals | boundary filters and boundary wavelets | boundary filters and boundary wavelets | wavelet compression algorithms | wavelet compression algorithms | Lifting | Lifting | ladder structure for filter banks | ladder structure for filter banks | factorization of polyphase matrix into lifting steps | factorization of polyphase matrix into lifting steps | lifting form of refinement equationSec | lifting form of refinement equationSec | Wavelets and subdivision | Wavelets and subdivision | nonuniform grids | nonuniform grids | multiresolution for triangular meshes | multiresolution for triangular meshes | representation and compression of surfaces | representation and compression of surfaces | Numerical solution of PDEs | Numerical solution of PDEs | Galerkin approximation | Galerkin approximation | wavelet integrals (projection coefficients | moments and connection coefficients) | wavelet integrals (projection coefficients | moments and connection coefficients) | convergence | convergence | Subdivision wavelets for integral equations | Subdivision wavelets for integral equations | Compression and convergence estimates | Compression and convergence estimates | M-band wavelets | M-band wavelets | DFT filter banks and cosine modulated filter banks | DFT filter banks and cosine modulated filter banks | Multiwavelets | Multiwavelets

License

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Introducción a los Sistemas de Tiempo Real Introducción a los Sistemas de Tiempo Real

Description

La materia contenida en la asignatura está directamente relacionada con el desarrollo de software en entornos industriales y sistemas de alta integridad. En general se aplicará a sistemas en los que, debido a su interacción con entornos físicos, tienen gran importancia el cumplimiento de tiempos de respuesta deterministas y la seguridad e integridad del sistema. Son muchos los ámbitos de aplicación de esta materia, pudiendo citar entre ellos: automoción, robótica, ingeniería espacial, aviónica, domótica o sistemas multimedia. Esta asignatura pretende cubrir prácticamente todas las fases del ciclo de vida de un sistema de tiempo real, por este motivo está directamente relacionada con varias asignaturas de su contexto. El detalle de estas relaciones se aborda en la siguiente sec La materia contenida en la asignatura está directamente relacionada con el desarrollo de software en entornos industriales y sistemas de alta integridad. En general se aplicará a sistemas en los que, debido a su interacción con entornos físicos, tienen gran importancia el cumplimiento de tiempos de respuesta deterministas y la seguridad e integridad del sistema. Son muchos los ámbitos de aplicación de esta materia, pudiendo citar entre ellos: automoción, robótica, ingeniería espacial, aviónica, domótica o sistemas multimedia. Esta asignatura pretende cubrir prácticamente todas las fases del ciclo de vida de un sistema de tiempo real, por este motivo está directamente relacionada con varias asignaturas de su contexto. El detalle de estas relaciones se aborda en la siguiente sec

Subjects

Multitarea | Multitarea | Plazo de respuesta | Plazo de respuesta | Project Based Learning | Project Based Learning | Arquitectura y Tecnología de Computadores | Arquitectura y Tecnología de Computadores | Restricciones temporales | Restricciones temporales | Sistemas alta integridad | Sistemas alta integridad | Planificación por prioridades | Planificación por prioridades | Lenguaje Ada | Lenguaje Ada | Programas concurrentes | Programas concurrentes | Competencias transversales | Competencias transversales | RMA | RMA | Multiprogramación | Multiprogramación | Sistemas críticos | Sistemas críticos | Planificación expulsora | Planificación expulsora | HRT-HOOD | HRT-HOOD | Tiempo de respuesta | Tiempo de respuesta | Planificación | Planificación | Procesos periódicos | Procesos periódicos | Aprendizaje basado en proyecto | Aprendizaje basado en proyecto | Fiabilidad | Fiabilidad | Monótono en frecuencia | Monótono en frecuencia | PBL | PBL | Planificación de procesos | Planificación de procesos | Sistemas de tiempo real | Sistemas de tiempo real | ABP | ABP | Procesos aperiódicos | Procesos aperiódicos | Statecharts | Statecharts | Sincronización de procesos | Sincronización de procesos | Bloques de recuperación | Bloques de recuperación | Tolerancia a fallos | Tolerancia a fallos | Programación concurrente | Programación concurrente | Competencias profesionales | Competencias profesionales | Prioridades de procesos | Prioridades de procesos | Ada95 | Ada95

License

Copyright 2009, by the Contributing Authors http://creativecommons.org/licenses/by-nc-sa/3.0/

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4.241J Theory of City Form (MIT) 4.241J Theory of City Form (MIT)

Description

Includes audio/video content: AV lectures. This course covers theories about the form that settlements should take and attempts a distinction between descriptive and normative theory by examining examples of various theories of city form over time. Case studies will highlight the origins of the modern city and theories about its emerging form, including the transformation of the nineteenth-century city and its organization. Through examples and historical context, current issues of city form in relation to city-making, social structure, and physical design will also be discussed and analyzed. Includes audio/video content: AV lectures. This course covers theories about the form that settlements should take and attempts a distinction between descriptive and normative theory by examining examples of various theories of city form over time. Case studies will highlight the origins of the modern city and theories about its emerging form, including the transformation of the nineteenth-century city and its organization. Through examples and historical context, current issues of city form in relation to city-making, social structure, and physical design will also be discussed and analyzed.

Subjects

cities | cities | urbanism | urbanism | architecture | architecture | modernism | modernism | typology | typology | form | form | space | space | grid | grid | industrialization | industrialization | urban history | urban history | Kevin Lynch | Kevin Lynch | political urbanism | political urbanism | London | London | Paris | Paris | Jerusalem | Jerusalem | Johannesburg | Johannesburg | New York | New York | St. Petersburg | St. Petersburg | Barcelona | Barcelona | Vienna | Vienna | Chicago | Chicago | Berlin | Berlin | Chandigarh | Chandigarh | urban development | urban development | utopianism | utopianism | suburb | suburb | suburban development | suburban development

License

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17.50 Introduction to Comparative Politics (MIT) 17.50 Introduction to Comparative Politics (MIT)

Description

This course examines why democracy emerges and survives in some countries rather than in others; how political institutions affect economic development; and how American politics compares to that of other countries. This course examines why democracy emerges and survives in some countries rather than in others; how political institutions affect economic development; and how American politics compares to that of other countries.

Subjects

democracy | democracy | economic development | economic development | politics | politics | Germany | Germany | Iraq | Iraq | Mexico | Mexico | United States | United States | Middle East | Middle East | Latin America | Latin America | Africa | Africa | South Asia | South Asia | East Asia | East Asia | Greece | Greece | Aristotle | Aristotle | foreign affairs | foreign affairs | Lee Kuan Yew | Lee Kuan Yew | democratic institution | democratic institution | social divisions | social divisions | Federalist Papers | Federalist Papers | Karl Marx | Karl Marx | Communist Party | Communist Party | leadership | leadership | polarization | polarization | gridlock | gridlock | Arab Spring | Arab Spring | Weimar Republic | Weimar Republic | imposed sovereignty | imposed sovereignty | Austri | Austri | regime breakdown | regime breakdown | Brazil | Brazil | capitalism | capitalism | industrial policy | industrial policy | women's emancipation | women's emancipation | women's suffrage | women's suffrage | Athens | Athens | the Constitution | the Constitution | reform | reform | presidentialism | presidentialism | federalism | federalism | bicameralism | bicameralism

License

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17.263 U.S. National Elections (MIT) 17.263 U.S. National Elections (MIT)

Description

This course provides a selective overview of electoral politics in the United States, with an emphasis on presidential and congressional elections. It examines the macro-level determinants of electoral outcomes as well as the political behavior of individual Americans. Each week covers a different topic, with readings designed to highlight controversies or debates in the political science literature. This course provides a selective overview of electoral politics in the United States, with an emphasis on presidential and congressional elections. It examines the macro-level determinants of electoral outcomes as well as the political behavior of individual Americans. Each week covers a different topic, with readings designed to highlight controversies or debates in the political science literature.

Subjects

election | election | barack obama | barack obama | mitt romney | mitt romney | hillary clinton | hillary clinton | political geography | political geography | realignment | realignment | political parties | political parties | democrat | democrat | republican | republican | incumbency advantage | incumbency advantage | electoral college | electoral college | partisan | partisan | demographics | demographics | campaigns | campaigns | constituencies | constituencies | voters | voters | voting | voting | gridlock | gridlock | campaign finance reform | campaign finance reform | lobbying | lobbying | campaign spending | campaign spending | citizens united | citizens united | referendums | referendums | turnout | turnout | representation | representation | governance | governance | government | government | inequality | inequality | gerrymandering | gerrymandering | redistricting | redistricting | policy | policy

License

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Using a compass clinometer

Description

www.hostwebsite.com/compass

Subjects

geology | compass | clinometer | dip | strike | plunge | azimuth | direction | bearing | plane | line | magnetic north | true north | grid north | grid reference | topographic map | locate position | magnetic variation | earth science | ukescc | ukoer | geesoer | Physical sciences | F000

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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24.961 Introduction to Phonology (MIT) 24.961 Introduction to Phonology (MIT)

Description

This course serves as an introduction to the current research questions in phonological theory. Topics include metrical and prosodic structure, features and their phonetic basis in speech, acquisition and parsing, phonological domains, morphology, and language change and reconstruction. Activities include problem solving, squibs, and data collection. This course serves as an introduction to the current research questions in phonological theory. Topics include metrical and prosodic structure, features and their phonetic basis in speech, acquisition and parsing, phonological domains, morphology, and language change and reconstruction. Activities include problem solving, squibs, and data collection.

Subjects

phonology | phonology | optimality theory | optimality theory | generative grammar | generative grammar | language | language | linguistic theory | linguistic theory | phonetics | phonetics | SPE model | SPE model | constraint conjunction | constraint conjunction | conspiracies | conspiracies | phonotactics | phonotactics | markedness | markedness | typology | typology | remote interaction | remote interaction | harmonic serialism | harmonic serialism | geminates | geminates | skeleton | skeleton | underspecification | underspecification | contrast constraints | contrast constraints | harmony | harmony | tone | tone | sonority | sonority | weight | weight | metrical grid | metrical grid | rhythm | rhythm | prosodic morphology | prosodic morphology

License

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21G.716 Introduction to Contemporary Hispanic Literature (MIT) 21G.716 Introduction to Contemporary Hispanic Literature (MIT)

Description

This course studies representative twentieth and twenty-first-century texts and films from Hispanic America and Spain. Emphasis is on developing strategies for analyzing the genres of the novel, the short story, the poem, the fictional film, and the theatrical script. The novels read this semester are Magali García Ramis's Felices días, Tío Sergio (1986, Puerto Rico) and Javier Cercas's Soldados de Salamina (2001, Spain). We will study Lorca's play "La casa de Bernarda Alba" (1936, Spain), films from Spain, México, and Cuba, poems by Darío (Nicaragua), Machado (Spain), Lorca (Spain), Hernández (Spain), Vallejo (Perú), Cernuda (Spain), and Luis Palés Matos (Puerto Rico), and short stories from México (by an exiled Spanish writer), Chile, Argentina, and Cuba. Thematic e This course studies representative twentieth and twenty-first-century texts and films from Hispanic America and Spain. Emphasis is on developing strategies for analyzing the genres of the novel, the short story, the poem, the fictional film, and the theatrical script. The novels read this semester are Magali García Ramis's Felices días, Tío Sergio (1986, Puerto Rico) and Javier Cercas's Soldados de Salamina (2001, Spain). We will study Lorca's play "La casa de Bernarda Alba" (1936, Spain), films from Spain, México, and Cuba, poems by Darío (Nicaragua), Machado (Spain), Lorca (Spain), Hernández (Spain), Vallejo (Perú), Cernuda (Spain), and Luis Palés Matos (Puerto Rico), and short stories from México (by an exiled Spanish writer), Chile, Argentina, and Cuba. Thematic e

Subjects

introduction | introduction | hispanic | hispanic | contemporary | contemporary | literature | literature | Magali Garcia Ramis | Magali Garcia Ramis | Javier Cercas | Javier Cercas | Rub?n Dar?o | Rub?n Dar?o | Luis Bu?uel | Luis Bu?uel | Salvador Dal? | Salvador Dal? | Un chien andalou | Un chien andalou | Antonio Machado | Antonio Machado | Federico Garc?a Lorca | Federico Garc?a Lorca | Miguel Hern?ndez | Miguel Hern?ndez | C?sar Vallejo | C?sar Vallejo | La casa de Bernarda Alba | La casa de Bernarda Alba | Max Aub | Max Aub | El remate | El remate | Felices d?as | Felices d?as | T?o Sergio | T?o Sergio | Luis Pal?s Matos | Luis Pal?s Matos | Soldados de Salamina | Soldados de Salamina | David Trueba | David Trueba | Rafael S?nchez Mazas | Rafael S?nchez Mazas | Ciriaco P?rez Bustamante | Ciriaco P?rez Bustamante | Marilyn Bobes | Marilyn Bobes | Ingrid Kummels | Ingrid Kummels | Ic?ar Bolla?n | Ic?ar Bolla?n | Flores de otro mundo | Flores de otro mundo | La vida es silbar | La vida es silbar | Jorge Luis Borges | Jorge Luis Borges | Rosario Ferr? | Rosario Ferr? | Roberto Bola?o | Roberto Bola?o | short story | short story | novel | novel | latin american experience | latin american experience | spanish | spanish

License

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 http://ocw.mit.edu/terms/index.htm

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21G.705 Oral Communication in Spanish (MIT) 21G.705 Oral Communication in Spanish (MIT)

Description

A second-year intermediate course that includes vocabulary enhancement and limited review of selected points of grammar. Focuses on listening comprehension and speaking, with group activities, discussions and individual oral reports based on readings, films, music and art. A second-year intermediate course that includes vocabulary enhancement and limited review of selected points of grammar. Focuses on listening comprehension and speaking, with group activities, discussions and individual oral reports based on readings, films, music and art.

Subjects

Oral | Oral | conversation | conversation | Spanish | Spanish | multimedia | multimedia | Hispanic | Hispanic | culture | culture | narrative | narrative | diary entries | diary entries | trial | trial | preparation | preparation | improvisation | improvisation | films | films | La virgen de los sicarios | La virgen de los sicarios | Colombia | Colombia | Pantale?n y las visitadoras | Pantale?n y las visitadoras | Per? | Per? | documentary | documentary | kidnapping | kidnapping | activist | activist | Ingrid Betancourt | Ingrid Betancourt | Sin noticias de Dios | Sin noticias de Dios | Spain | Spain | Penelope Cruz | Penelope Cruz | Victoria Abril | Victoria Abril | Gael Garc?a Bernal | Gael Garc?a Bernal

License

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 http://ocw.mit.edu/terms/index.htm

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2.29 Numerical Fluid Dynamics (MIT) 2.29 Numerical Fluid Dynamics (MIT)

Description

This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; and Lagrangian coherent structures (LCSs). This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; and Lagrangian coherent structures (LCSs).

Subjects

errors | errors | condition numbers and roots of equations | condition numbers and roots of equations | Navier-Stokes | Navier-Stokes | direct and iterative methods for linear systems | direct and iterative methods for linear systems | finite differences for elliptic | finite differences for elliptic | parabolic and hyperbolic equations | parabolic and hyperbolic equations | Fourier decomposition | Fourier decomposition | error analysis | error analysis | and stability | and stability | high-order and compact finite-differences | high-order and compact finite-differences | finite volume methods | finite volume methods | time marching methods | time marching methods | Navier-Stokes solvers | Navier-Stokes solvers | grid generation | grid generation | finite volumes on complex geometries | finite volumes on complex geometries | finite element methods | finite element methods | spectral methods | spectral methods | boundary element and panel methods | boundary element and panel methods | turbulent flows | turbulent flows | boundary layers | boundary layers | Lagrangian Coherent Structures | Lagrangian Coherent Structures

License

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 http://ocw.mit.edu/terms/index.htm

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2.29 Numerical Fluid Mechanics (MIT) 2.29 Numerical Fluid Mechanics (MIT)

Description

This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; and Lagrangian coherent structures (LCSs).Prof. Pierre Lermusiaux is very grateful to the teaching assistants Dr. Matt Ueckermann, Dr. Tapovan Lolla, Mr. Jing Lin, and Mr. Arpit Agarwal for the This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; and Lagrangian coherent structures (LCSs).Prof. Pierre Lermusiaux is very grateful to the teaching assistants Dr. Matt Ueckermann, Dr. Tapovan Lolla, Mr. Jing Lin, and Mr. Arpit Agarwal for the

Subjects

errors | errors | condition numbers and roots of equations | condition numbers and roots of equations | Navier-Stokes | Navier-Stokes | direct and iterative methods for linear systems | direct and iterative methods for linear systems | finite differences for elliptic | finite differences for elliptic | parabolic and hyperbolic equations | parabolic and hyperbolic equations | Fourier decomposition | Fourier decomposition | error analysis | error analysis | and stability | and stability | high-order and compact finite-differences | high-order and compact finite-differences | finite volume methods | finite volume methods | time marching methods | time marching methods | Navier-Stokes solvers | Navier-Stokes solvers | grid generation | grid generation | finite volumes on complex geometries | finite volumes on complex geometries | finite element methods | finite element methods | spectral methods | spectral methods | boundary element and panel methods | boundary element and panel methods | turbulent flows | turbulent flows | boundary layers | boundary layers | Lagrangian Coherent Structures | Lagrangian Coherent Structures

License

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 http://ocw.mit.edu/terms/index.htm

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Eldon Square shopping centre nears completion, 1976 Eldon Square shopping centre nears completion, 1976

Description

Subjects

road | road | park | park | city | city | roof | roof | shadow | shadow | abstract | abstract | industry | industry | window | window | water | water | glass | glass | buses | buses | grass | grass | retail | retail | wall | wall | buildings | buildings | square | square | landscape | landscape | grid | grid | daylight | daylight | interesting | interesting | construction | construction | industrial | industrial | traffic | traffic | transformation | transformation | unitedkingdom | unitedkingdom | pavement | pavement | debris | debris | lawn | lawn | entrance | entrance | diversity | diversity | aerialviews | aerialviews | bank | bank | rail | rail | shoppingcentre | shoppingcentre | ground | ground | social | social | structure | structure | doorway | doorway | frame | frame | cylinder | cylinder | land | land | vegetation | vegetation | shops | shops | unusual | unusual | haymarket | haymarket | civiccentre | civiccentre | newcastleuniversity | newcastleuniversity | eldonsquare | eldonsquare | development | development | impressive | impressive | busstation | busstation | businesses | businesses | sites | sites | newcastleupontyne | newcastleupontyne | fascinating | fascinating | digitalimage | digitalimage | aerialphotographs | aerialphotographs | colourphotography | colourphotography | percystreet | percystreet | northumberlandstreet | northumberlandstreet | socialhistory | socialhistory | blackettstreet | blackettstreet | transportationhub | transportationhub | northeastofengland | northeastofengland | artanddesign | artanddesign | colourphotograph | colourphotograph | january1976 | january1976 | barrasbridge | barrasbridge | stthomasthemartyrchurch | stthomasthemartyrchurch | newcastlelandscape | newcastlelandscape | turnersltd | turnersltd | smallersites | smallersites | newcastleincolour | newcastleincolour | largersites | largersites

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No known copyright restrictions

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Looking West along the River Tyne, 1978 Looking West along the River Tyne, 1978

Description

Subjects

road | road | bridge | bridge | roof | roof | shadow | shadow | blur | blur | industry | industry | window | window | water | water | glass | glass | wall | wall | buildings | buildings | river | river | landscape | landscape | grid | grid | daylight | daylight | interesting | interesting | construction | construction | industrial | industrial | unitedkingdom | unitedkingdom | bridges | bridges | aerialviews | aerialviews | structure | structure | gateshead | gateshead | tynebridge | tynebridge | frame | frame | land | land | vegetation | vegetation | change | change | unusual | unusual | railways | railways | tyneside | tyneside | development | development | swingbridge | swingbridge | centralstation | centralstation | newcastleupontyne | newcastleupontyne | fascinating | fascinating | quayside | quayside | digitalimage | digitalimage | metrobridge | metrobridge | rivertyne | rivertyne | aerialphotograph | aerialphotograph | highlevelbridge | highlevelbridge | aerialphotographs | aerialphotographs | colourphotography | colourphotography | elswick | elswick | redheughbridge | redheughbridge | northeastengland | northeastengland | westroad | westroad | dunstonstaithes | dunstonstaithes | april1978 | april1978 | scotswoodroad | scotswoodroad | colourphotograph | colourphotograph | turnersltd | turnersltd | newcastleincolour | newcastleincolour | stellapowerstationcoolingtowers | stellapowerstationcoolingtowers

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Bridges across the River Tyne, 1978 Bridges across the River Tyne, 1978

Description

Subjects

road | road | bridge | bridge | roof | roof | industry | industry | window | window | water | water | grass | grass | wall | wall | buildings | buildings | river | river | grid | grid | interesting | interesting | construction | construction | industrial | industrial | unitedkingdom | unitedkingdom | bridges | bridges | aerialviews | aerialviews | rail | rail | gateshead | gateshead | tynebridge | tynebridge | land | land | vegetation | vegetation | vehicle | vehicle | housing | housing | unusual | unusual | 1970s | 1970s | railways | railways | tyneside | tyneside | development | development | swingbridge | swingbridge | centralstation | centralstation | newcastleupontyne | newcastleupontyne | fascinating | fascinating | quayside | quayside | digitalimage | digitalimage | metrobridge | metrobridge | rivertyne | rivertyne | aerialphotograph | aerialphotograph | highlevelbridge | highlevelbridge | industrialheritage | industrialheritage | aerialphotographs | aerialphotographs | colourphotography | colourphotography | northeastengland | northeastengland | april1978 | april1978 | colourphotograph | colourphotograph | newcastlelandscape | newcastlelandscape | turnersltd | turnersltd | colouraerialphotograph | colouraerialphotograph | newcastleincolour | newcastleincolour

License

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18.336 Numerical Methods for Partial Differential Equations (MIT)

Description

This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods.

Subjects

advection equation | heat equation | wave equation | Airy equation | convection-diffusion problems | KdV equation | hyperbolic conservation laws | Poisson equation | Stokes problem | Navier-Stokes equations | interface problems | consistency | stability | convergence | Lax equivalence theorem | error analysis | Fourier approaches | staggered grids | shocks | front propagation | preconditioning | multigrid | Krylov spaces | saddle point problems | finite differences | finite volumes | finite elements | ENO/WENO | spectral methods | projection approaches for incompressible ows | level set methods | particle methods | direct and iterative methods

License

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

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21F.716 Introduction to Contemporary Hispanic Literature (MIT)

Description

This course studies representative twentieth and twenty-first-century texts and films from Hispanic America and Spain. Emphasis is on developing strategies for analyzing the genres of the novel, the short story, the poem, the fictional film, and the theatrical script. The novels read this semester are Magali García Ramis's Felices días, Tío Sergio (1986, Puerto Rico) and Javier Cercas's Soldados de Salamina (2001, Spain). We will study Lorca's play "La casa de Bernarda Alba" (1936, Spain), films from Spain, México, and Cuba, poems by Darío (Nicaragua), Machado (Spain), Lorca (Spain), Hernández (Spain), Vallejo (Perú), Cernuda (Spain), and Luis Palés Matos (Puerto Rico), and short stories from México (by an exiled Spanish w

Subjects

introduction | hispanic | contemporary | literature | Magali Garcia Ramis | Javier Cercas | Rub?n Dar?o | Luis Bu?uel | Salvador Dal? | Un chien andalou | Antonio Machado | Federico Garc?a Lorca | Miguel Hern?ndez | C?sar Vallejo | La casa de Bernarda Alba | Max Aub | El remate | Felices d?as | T?o Sergio | Luis Pal?s Matos | Soldados de Salamina | David Trueba | Rafael S?nchez Mazas | Ciriaco P?rez Bustamante | Marilyn Bobes | Ingrid Kummels | Ic?ar Bolla?n | Flores de otro mundo | La vida es silbar | Jorge Luis Borges | Rosario Ferr? | Roberto Bola?o | short story | novel | latin american experience | spanish

License

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 http://ocw.mit.edu/terms/index.htm

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21F.705 Oral Communication in Spanish (MIT)

Description

A second-year intermediate course that includes vocabulary enhancement and limited review of selected points of grammar. Focuses on listening comprehension and speaking, with group activities, discussions and individual oral reports based on readings, films, music and art.

Subjects

Oral | conversation | Spanish | multimedia | Hispanic | culture | narrative | diary entries | trial | preparation | improvisation | films | La virgen de los sicarios | Colombia | Pantale?n y las visitadoras | Per? | documentary | kidnapping | activist | Ingrid Betancourt | Sin noticias de Dios | Spain | Penelope Cruz | Victoria Abril | Gael Garc?a Bernal

License

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 http://ocw.mit.edu/terms/index.htm

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18.327 Wavelets, Filter Banks and Applications (MIT)

Description

Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

Subjects

Discrete-time filters | convolution | Fourier transform | owpass and highpass filters | Sampling rate change operations | upsampling and downsampling | ractional sampling | interpolation | Filter Banks | time domain (Haar example) and frequency domain | conditions for alias cancellation and no distortion | perfect reconstruction | halfband filters and possible factorizations | Modulation and polyphase representations | Noble identities | block Toeplitz matrices and block z-transforms | polyphase examples | Matlab wavelet toolbox | Orthogonal filter banks | paraunitary matrices | orthogonality condition (Condition O) in the time domain | modulation domain and polyphase domain | Maxflat filters | Daubechies and Meyer formulas | Spectral factorization | Multiresolution Analysis (MRA) | requirements for MRA | nested spaces and complementary spaces; scaling functions and wavelets | Refinement equation | iterative and recursive solution techniques | infinite product formula | filter bank approach for computing scaling functions and wavelets | Orthogonal wavelet bases | connection to orthogonal filters | orthogonality in the frequency domain | Biorthogonal wavelet bases | Mallat pyramid algorithm | Accuracy of wavelet approximations (Condition A) | vanishing moments | polynomial cancellation in filter banks | Smoothness of wavelet bases | convergence of the cascade algorithm (Condition E) | splines | Bases vs. frames | Signal and image processing | finite length signals | boundary filters and boundary wavelets | wavelet compression algorithms | Lifting | ladder structure for filter banks | factorization of polyphase matrix into lifting steps | lifting form of refinement equationSec | Wavelets and subdivision | nonuniform grids | multiresolution for triangular meshes | representation and compression of surfaces | Numerical solution of PDEs | Galerkin approximation | wavelet integrals (projection coefficients | moments and connection coefficients) | convergence | Subdivision wavelets for integral equations | Compression and convergence estimates | M-band wavelets | DFT filter banks and cosine modulated filter banks | Multiwavelets

License

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

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