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12.006J Nonlinear Dynamics I: Chaos (MIT) 12.006J Nonlinear Dynamics I: Chaos (MIT)

Description

This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering. This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering.

Subjects

Forced and parametric oscillators | Forced and parametric oscillators | Phase space | Phase space | Periodic | quasiperiodic | and aperiodic flows | Periodic | quasiperiodic | and aperiodic flows | Sensitivity to initial conditions and strange attractors | Sensitivity to initial conditions and strange attractors | Lorenz attractor | Lorenz attractor | Period doubling | intermittency | and quasiperiodicity | Period doubling | intermittency | and quasiperiodicity | Scaling and universality | Scaling and universality | Analysis of experimental data: Fourier transforms | Analysis of experimental data: Fourier transforms | Poincar? sections | Poincar? sections | fractal dimension | fractal dimension | Lyaponov exponents | Lyaponov exponents

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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12.006J Nonlinear Dynamics I: Chaos (MIT) 12.006J Nonlinear Dynamics I: Chaos (MIT)

Description

This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering. This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering.

Subjects

Forced and parametric oscillators | Forced and parametric oscillators | Phase space | Phase space | Periodic | quasiperiodic | and aperiodic flows | Periodic | quasiperiodic | and aperiodic flows | Sensitivity to initial conditions and strange attractors | Sensitivity to initial conditions and strange attractors | Lorenz attractor | Lorenz attractor | Period doubling | intermittency | and quasiperiodicity | Period doubling | intermittency | and quasiperiodicity | Scaling and universality | Scaling and universality | Analysis of experimental data: Fourier transforms | Analysis of experimental data: Fourier transforms | Poincar? sections | Poincar? sections | fractal dimension | fractal dimension | Lyaponov exponents | Lyaponov exponents

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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MAS.961 Networks, Complexity and Its Applications (MIT) MAS.961 Networks, Complexity and Its Applications (MIT)

Description

Networks are a ubiquitous way to represent complex systems, including those in the social and economic sciences. The goal of the course is to equip students with conceptual tools that can help them understand complex systems that emerge in both nature and social systems. This is a course intended for a general audience and will discuss applications of networks and complexity to diverse systems, including epidemic spreading, social networks and the evolution of economic development. Networks are a ubiquitous way to represent complex systems, including those in the social and economic sciences. The goal of the course is to equip students with conceptual tools that can help them understand complex systems that emerge in both nature and social systems. This is a course intended for a general audience and will discuss applications of networks and complexity to diverse systems, including epidemic spreading, social networks and the evolution of economic development.

Subjects

social networks | social networks | complex networks | complex networks | macroconnections | macroconnections | Watts and Strogatz Model | Watts and Strogatz Model | Barabási-Albert Model | Barabási-Albert Model | Modularity and Community Structure | Modularity and Community Structure | The Lorenz Attractor | The Lorenz Attractor | Lyapunov Exponents | Lyapunov Exponents | visualizing networks | visualizing networks | network structure | network structure

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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stica descriptiva (2014) stica descriptiva (2014)

Description

El contenido de este curso est formado por un conjunto de materiales de apoyo para iniciar en la Estadstica descriptiva a los estudiantes de los grados en ADE, Economa, Marketing y Relaciones laborales y Recursos humanos. Con ellos podrn introducirse en la disciplina a travs de ejemplos y visualizar y/o experimentar con algunos conceptos y resultados estadsticos. Se incluyen presentaciones interactivas en PowerPoint, applets de GeoGebra y vdeos. En los materiales para el anlisis descriptivo de los datos con Excel, la versin de Excel utilizada ha sido la disponible en las aulas de informtica de la Facultad de Economa y Empresa y de la Facultad de Ciencias del Trabajo en el momento de elaboracin de los mismos. El contenido de este curso est formado por un conjunto de materiales de apoyo para iniciar en la Estadstica descriptiva a los estudiantes de los grados en ADE, Economa, Marketing y Relaciones laborales y Recursos humanos. Con ellos podrn introducirse en la disciplina a travs de ejemplos y visualizar y/o experimentar con algunos conceptos y resultados estadsticos. Se incluyen presentaciones interactivas en PowerPoint, applets de GeoGebra y vdeos. En los materiales para el anlisis descriptivo de los datos con Excel, la versin de Excel utilizada ha sido la disponible en las aulas de informtica de la Facultad de Economa y Empresa y de la Facultad de Ciencias del Trabajo en el momento de elaboracin de los mismos.

Subjects

n por intervalos | n por intervalos | n | n | ndice de Gini | ndice de Gini | Curva de Lorenz | Curva de Lorenz | Cambio de origen y/o escala | Cambio de origen y/o escala | Moda | Moda | stica Descriptiva | stica Descriptiva | todos Cuantitativos para la Economa y la Empresa | todos Cuantitativos para la Economa y la Empresa | Mediana | Mediana | tica | tica | n condicionada | n condicionada | n marginal | n marginal

License

http://creativecommons.org/licenses/by-nc-sa/3.0/

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RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (MIT) RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (MIT)

Description

Includes audio/video content: AV lectures. Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable for students and life-long learners to enjoy.About the Instructors Gilbert Strang is the MathWorks Professor of Mathematics at MIT. His research focuses on mathematical analysis, linear algebra and PDEs. He has written textbooks on linear algebra, computational science, finite elements, wavelets, GPS, and calculus.Cleve Moler is chief mathematician, chairman, and cofounder of MathWorks. He was a professor of math and computer science for almost 20 years at the University of Michigan, Stanford University, and the University of New Mexico. These videos w Includes audio/video content: AV lectures. Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable for students and life-long learners to enjoy.About the Instructors Gilbert Strang is the MathWorks Professor of Mathematics at MIT. His research focuses on mathematical analysis, linear algebra and PDEs. He has written textbooks on linear algebra, computational science, finite elements, wavelets, GPS, and calculus.Cleve Moler is chief mathematician, chairman, and cofounder of MathWorks. He was a professor of math and computer science for almost 20 years at the University of Michigan, Stanford University, and the University of New Mexico. These videos w

Subjects

differential equations | differential equations | ODE | MATLAB | ODE | MATLAB | first order equations | first order equations | second order equations | second order equations | matrices | matrices | Laplace transform | Laplace transform | linear algebra | linear algebra | eigenvalues | eigenvalues | eigenvectors | eigenvectors | Fourier series | Fourier series | Runge-Kutta | Runge-Kutta | Tumbling box | Tumbling box | predator-prey equations | predator-prey equations | Lorenz Attractor | Lorenz Attractor

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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2.58J Radiative Transfer (MIT) 2.58J Radiative Transfer (MIT)

Description

This course investigates the principles of thermal radiation and their applications to engineering heat and photon transfer problems. Topics include quantum and classical models of radiative properties of materials, electromagnetic wave theory for thermal radiation, radiative transfer in absorbing, emitting, and scattering media, and coherent laser radiation. Applications cover laser-material interactions, imaging, infrared instrumentation, global warming, semiconductor manufacturing, combustion, furnaces, and high temperature processing. This course investigates the principles of thermal radiation and their applications to engineering heat and photon transfer problems. Topics include quantum and classical models of radiative properties of materials, electromagnetic wave theory for thermal radiation, radiative transfer in absorbing, emitting, and scattering media, and coherent laser radiation. Applications cover laser-material interactions, imaging, infrared instrumentation, global warming, semiconductor manufacturing, combustion, furnaces, and high temperature processing.

Subjects

thermal radiation | thermal radiation | heat transfer | heat transfer | photon transfer | photon transfer | quantum modeling | quantum modeling | materials | materials | electromagnetic | electromagnetic | absorption | absorption | emitting media | emitting media | scattering | scattering | laser | laser | imaging | imaging | infrared | infrared | global warming | global warming | semiconductor manufacturing | semiconductor manufacturing | combustion | combustion | furnace | furnace | high temperature processing | high temperature processing | Drude | Drude | Lorenz | Lorenz | gas | gas | dielectric | dielectric | Monte Carlo | Monte Carlo | simulation | simulation | solar energy | solar energy | solar power | solar power | solar cell | solar cell | 2.58 | 2.58 | 10.74 | 10.74

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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MAS.961 Networks, Complexity and Its Applications (MIT)

Description

Networks are a ubiquitous way to represent complex systems, including those in the social and economic sciences. The goal of the course is to equip students with conceptual tools that can help them understand complex systems that emerge in both nature and social systems. This is a course intended for a general audience and will discuss applications of networks and complexity to diverse systems, including epidemic spreading, social networks and the evolution of economic development.

Subjects

social networks | complex networks | macroconnections | Watts and Strogatz Model | si-Albert Model | Modularity and Community Structure | The Lorenz Attractor | Lyapunov Exponents | visualizing networks | network structure

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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2.58J Radiative Transfer (MIT)

Description

This course investigates the principles of thermal radiation and their applications to engineering heat and photon transfer problems. Topics include quantum and classical models of radiative properties of materials, electromagnetic wave theory for thermal radiation, radiative transfer in absorbing, emitting, and scattering media, and coherent laser radiation. Applications cover laser-material interactions, imaging, infrared instrumentation, global warming, semiconductor manufacturing, combustion, furnaces, and high temperature processing.

Subjects

thermal radiation | heat transfer | photon transfer | quantum modeling | materials | electromagnetic | absorption | emitting media | scattering | laser | imaging | infrared | global warming | semiconductor manufacturing | combustion | furnace | high temperature processing | Drude | Lorenz | gas | dielectric | Monte Carlo | simulation | solar energy | solar power | solar cell | 2.58 | 10.74

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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RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (MIT)

Description

Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable for students and life-long learners to enjoy.About the Instructors Gilbert Strang is the MathWorks Professor of Mathematics at MIT. His research focuses on mathematical analysis, linear algebra and PDEs. He has written textbooks on linear algebra, computational science, finite elements, wavelets, GPS, and calculus.Cleve Moler is chief mathematician, chairman, and cofounder of MathWorks. He was a professor of math and computer science for almost 20 years at the University of Michigan, Stanford University, and the University of New Mexico. These videos were produced by The MathWorks® and are

Subjects

differential equations | ODE | MATLAB | first order equations | second order equations | matrices | Laplace transform | linear algebra | eigenvalues | eigenvectors | Fourier series | Runge-Kutta | Tumbling box | predator-prey equations | Lorenz Attractor

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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12.006J Nonlinear Dynamics I: Chaos (MIT)

Description

This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering.

Subjects

Forced and parametric oscillators | Phase space | Periodic | quasiperiodic | and aperiodic flows | Sensitivity to initial conditions and strange attractors | Lorenz attractor | Period doubling | intermittency | and quasiperiodicity | Scaling and universality | Analysis of experimental data: Fourier transforms | Poincar? sections | fractal dimension | Lyaponov exponents

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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12.006J Nonlinear Dynamics I: Chaos (MIT)

Description

This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering.

Subjects

Forced and parametric oscillators | Phase space | Periodic | quasiperiodic | and aperiodic flows | Sensitivity to initial conditions and strange attractors | Lorenz attractor | Period doubling | intermittency | and quasiperiodicity | Scaling and universality | Analysis of experimental data: Fourier transforms | Poincar? sections | fractal dimension | Lyaponov exponents

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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12.006J Nonlinear Dynamics I: Chaos (MIT)

Description

This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering.

Subjects

Forced and parametric oscillators | Phase space | Periodic | quasiperiodic | and aperiodic flows | Sensitivity to initial conditions and strange attractors | Lorenz attractor | Period doubling | intermittency | and quasiperiodicity | Scaling and universality | Analysis of experimental data: Fourier transforms | Poincar? sections | fractal dimension | Lyaponov exponents

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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