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6.441 Transmission of Information (MIT) 6.441 Transmission of Information (MIT)

Description

6.441 offers an introduction to the quantitative theory of information and its applications to reliable, efficient communication systems. Topics include: mathematical definition and properties of information; source coding theorem, lossless compression of data, optimal lossless coding; noisy communication channels, channel coding theorem, the source-channel separation theorem, multiple access channels, broadcast channels, Gaussian noise, and time-varying channels. 6.441 offers an introduction to the quantitative theory of information and its applications to reliable, efficient communication systems. Topics include: mathematical definition and properties of information; source coding theorem, lossless compression of data, optimal lossless coding; noisy communication channels, channel coding theorem, the source-channel separation theorem, multiple access channels, broadcast channels, Gaussian noise, and time-varying channels.Subjects

transmission of information | transmission of information | quantitative theory of information | quantitative theory of information | efficient communication systems | efficient communication systems | mathematical definition of information | mathematical definition of information | properties of information | properties of information | source coding theorem | source coding theorem | lossless compression of data | lossless compression of data | optimal lossless coding | optimal lossless coding | noisy communication channels | noisy communication channels | channel coding theorem | channel coding theorem | the source-channel separation theorem | the source-channel separation theorem | multiple access channels | multiple access channels | broadcast channels | broadcast channels | gaussian noise | gaussian noise | time-varying channels | time-varying channels | lossless data compression | lossless data compression | telecommunications | telecommunications | data transmission | data transmissionLicense

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.htmSite sourced from

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This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. Green's function methods are emphasized.Technical RequirementsSpecial software is required to use some of the files in this course: .m. This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. Green's function methods are emphasized.Technical RequirementsSpecial software is required to use some of the files in this course: .m.Subjects

diffusion | diffusion | Laplace equations | Laplace equations | Poisson | Poisson | wave equations | wave equations | separation of variables | separation of variables | Fourier series | Fourier series | Fourier transforms | Fourier transforms | eigenvalue problems | eigenvalue problems | Green's function | Green's function | Heat Equation | Heat Equation | Sturm-Liouville Eigenvalue problems | Sturm-Liouville Eigenvalue problems | quasilinear PDEs | quasilinear PDEs | Bessel functions | Bessel functionsLicense

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.htmSite sourced from

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See all metadata16.100 Aerodynamics (MIT) 16.100 Aerodynamics (MIT)

Description

This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem. Technical RequirementsFile decompression software, such as Winzip® or StuffIt®, is required to open the .tar files found on this course site. MATLAB This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem. Technical RequirementsFile decompression software, such as Winzip® or StuffIt®, is required to open the .tar files found on this course site. MATLABSubjects

aerodynamics | aerodynamics | airflow | airflow | air | air | body | body | aircraft | aircraft | aerodynamic modes | aerodynamic modes | aero | aero | forces | forces | flow | flow | computational | computational | CFD | CFD | aerodynamic analysis | aerodynamic analysis | lift | lift | drag | drag | potential flows | potential flows | imcompressible | imcompressible | supersonic | supersonic | subsonic | subsonic | panel method | panel method | vortex lattice method | vortex lattice method | boudary layer | boudary layer | transition | transition | turbulence | turbulence | inviscid | inviscid | viscous | viscous | euler | euler | navier-stokes | navier-stokes | wind tunnel | wind tunnel | flow similarity | flow similarity | non-dimensional | non-dimensional | mach number | mach number | reynolds number | reynolds number | integral momentum | integral momentum | airfoil | airfoil | wing | wing | stall | stall | friction drag | friction drag | induced drag | induced drag | wave drag | wave drag | pressure drag | pressure drag | fluid element | fluid element | shear strain | shear strain | normal strain | normal strain | vorticity | vorticity | divergence | divergence | substantial derviative | substantial derviative | laminar | laminar | displacement thickness | displacement thickness | momentum thickness | momentum thickness | skin friction | skin friction | separation | separation | velocity profile | velocity profile | 2-d panel | 2-d panel | 3-d vortex | 3-d vortex | thin airfoil | thin airfoil | lifting line | lifting line | aspect ratio | aspect ratio | twist | twist | camber | camber | wing loading | wing loading | roll moments | roll moments | finite volume approximation | finite volume approximation | shocks | shocks | expansion fans | expansion fans | shock-expansion theory | shock-expansion theory | transonic | transonic | critical mach number | critical mach number | wing sweep | wing sweep | Kutta condition | Kutta condition | team project | team project | blended-wing-body | blended-wing-body | computational fluid dynamics | computational fluid dynamics | Incompressible | IncompressibleLicense

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.htmSite sourced from

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This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. Green's function methods are emphasized.Technical RequirementsMATLAB® software is required to run the .m files found on this course site. This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. Green's function methods are emphasized.Technical RequirementsMATLAB® software is required to run the .m files found on this course site.Subjects

diffusion | diffusion | Laplace equations | Laplace equations | Poisson | Poisson | wave equations | wave equations | separation of variables | separation of variables | Fourier series | Fourier series | Fourier transforms | Fourier transforms | eigenvalue problems | eigenvalue problems | Green's function | Green's function | Heat Equation | Heat Equation | Sturm-Liouville Eigenvalue problems | Sturm-Liouville Eigenvalue problems | quasilinear PDEs | quasilinear PDEs | Bessel functions | Bessel functionsLicense

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.htmSite sourced from

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See all metadata3.063 Polymer Physics (MIT) 3.063 Polymer Physics (MIT)

Description

This course presents the mechanical, optical, and transport properties of polymers with respect to the underlying physics and physical chemistry of polymers in melt, solution, and solid state. Topics include conformation and molecular dimensions of polymer chains in solutions, melts, blends, and block copolymers; an examination of the structure of glassy, crystalline, and rubbery elastic states of polymers; thermodynamics of polymer solutions, blends, crystallization; liquid crystallinity, microphase separation, and self-assembled organic-inorganic nanocomposites. Case studies include relationships between structure and function in technologically important polymeric systems. This course presents the mechanical, optical, and transport properties of polymers with respect to the underlying physics and physical chemistry of polymers in melt, solution, and solid state. Topics include conformation and molecular dimensions of polymer chains in solutions, melts, blends, and block copolymers; an examination of the structure of glassy, crystalline, and rubbery elastic states of polymers; thermodynamics of polymer solutions, blends, crystallization; liquid crystallinity, microphase separation, and self-assembled organic-inorganic nanocomposites. Case studies include relationships between structure and function in technologically important polymeric systems.Subjects

mechanical | mechanical | optical | optical | transport | transport | physical chemistry | physical chemistry | chemistry | chemistry | physics | physics | melt | melt | solution | solution | solid | solid | polymer chain | polymer chain | copolymer | copolymer | glass | glass | crystal | crystal | rubber | rubber | elastic | elastic | thermodynamics | thermodynamics | microphase separation | microphase separation | organic | organic | inorganic | inorganic | nanocomposite | nanocompositeLicense

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See all metadata6.441 Information Theory (MIT) 6.441 Information Theory (MIT)

Description

6.441 offers an introduction to the quantitative theory of information and its applications to reliable, efficient communication systems. Topics include mathematical definition and properties of information, source coding theorem, lossless compression of data, optimal lossless coding, noisy communication channels, channel coding theorem, the source channel separation theorem, multiple access channels, broadcast channels, Gaussian noise, and time-varying channels. 6.441 offers an introduction to the quantitative theory of information and its applications to reliable, efficient communication systems. Topics include mathematical definition and properties of information, source coding theorem, lossless compression of data, optimal lossless coding, noisy communication channels, channel coding theorem, the source channel separation theorem, multiple access channels, broadcast channels, Gaussian noise, and time-varying channels.Subjects

properties of information | properties of information | source coding theorem | source coding theorem | lossless compression | lossless compression | noisy communication | noisy communication | channel coding theorem | channel coding theorem | source channel separation theorem | source channel separation theorem | multiple access channels | multiple access channels | broadcast channels | broadcast channels | Gaussian noise | Gaussian noise | time-varying channels | time-varying channelsLicense

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.htmSite sourced from

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See all metadata10.491 Integrated Chemical Engineering II (MIT) 10.491 Integrated Chemical Engineering II (MIT)

Description

This course introduces students to methods and background needed for the conceptual design of continuously operating chemical plants. Particular attention is paid to the use of process modeling tools such as Aspen that are used in industry and to problems of current interest. Each student team is assigned to evaluate and design a different technology and prepare a final design report. For spring 2006, the theme of the course is to design technologies for lowering the emissions of climatically active gases from processes that use coal as the primary fuel. This course introduces students to methods and background needed for the conceptual design of continuously operating chemical plants. Particular attention is paid to the use of process modeling tools such as Aspen that are used in industry and to problems of current interest. Each student team is assigned to evaluate and design a different technology and prepare a final design report. For spring 2006, the theme of the course is to design technologies for lowering the emissions of climatically active gases from processes that use coal as the primary fuel.Subjects

integrated chemical engineering | integrated chemical engineering | ICE | ICE | process design | process design | differential equations | differential equations | separation processes | separation processes | simulation | simulation | flowsheet | flowsheet | reactor design | reactor design | transport phenomena | transport phenomena | economic feasibility study | economic feasibility study | economic analysis | economic analysisLicense

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.htmSite sourced from

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This course serves as an introduction to the fundamental principles of separation operations for the recovery of products from biological processes, membrane filtration, chromatography, centrifugation, cell disruption, extraction, and process design. This course was last taught during the regular school year in the Spring semester of 1999, but has been a part of the MIT Technology and Development Program (TDP) at the Malaysia University of Science and Technology (MUST), as well as at MIT's Professional Institute in more recent years. This course serves as an introduction to the fundamental principles of separation operations for the recovery of products from biological processes, membrane filtration, chromatography, centrifugation, cell disruption, extraction, and process design. This course was last taught during the regular school year in the Spring semester of 1999, but has been a part of the MIT Technology and Development Program (TDP) at the Malaysia University of Science and Technology (MUST), as well as at MIT's Professional Institute in more recent years.Subjects

separation operations | separation operations | recovery of products from biological processes | recovery of products from biological processes | membrane filtration | membrane filtration | chromatography | chromatography | centrifugation | centrifugation | cell disruption | cell disruption | extraction | extraction | process design | process design | downstream processing | downstream processing | biochemical product recovery | biochemical product recovery | modes of recovery and purification | modes of recovery and purification | biochemical engineering | biochemical engineeringLicense

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.htmSite sourced from

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See all metadata10.32 Separation Processes (MIT) 10.32 Separation Processes (MIT)

Description

This course covers the general principles of separation by equilibrium and rate processes. Topics include staged cascades and applications to distillation, absorption, adsorption, and membrane processes. Phase equilibria and the role of diffusion are also covered. This course covers the general principles of separation by equilibrium and rate processes. Topics include staged cascades and applications to distillation, absorption, adsorption, and membrane processes. Phase equilibria and the role of diffusion are also covered.Subjects

separation process | separation process | chemical mixtures | chemical mixtures | biological mixtures | biological mixtures | distillation | distillation | membrane processes | membrane processes | chromatography | chromatography | adsorption | adsorption | precipitation | precipitation | crystallization | crystallization | filtration | filtration | membrane filtration | membrane filtration | fixed bed adsorption | fixed bed adsorption | reverse osmosis | reverse osmosis | McCabe-Thiele | McCabe-Thiele | stripping | stripping | equilibrium | equilibrium | rate processes | rate processes | staged cascades | staged cascades | absorption | absorption | phase equilibria | phase equilibria | diffusion | diffusionLicense

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.htmSite sourced from

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See all metadata16.100 Aerodynamics (MIT) 16.100 Aerodynamics (MIT)

Description

This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem. This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem.Subjects

aerodynamics | aerodynamics | airflow | airflow | air | air | body | body | aircraft | aircraft | aerodynamic modes | aerodynamic modes | aero | aero | forces | forces | flow | flow | computational | computational | CFD | CFD | aerodynamic analysis | aerodynamic analysis | lift | lift | drag | drag | potential flows | potential flows | imcompressible | imcompressible | supersonic | supersonic | subsonic | subsonic | panel method | panel method | vortex lattice method | vortex lattice method | boudary layer | boudary layer | transition | transition | turbulence | turbulence | inviscid | inviscid | viscous | viscous | euler | euler | navier-stokes | navier-stokes | wind tunnel | wind tunnel | flow similarity | flow similarity | non-dimensional | non-dimensional | mach number | mach number | reynolds number | reynolds number | integral momentum | integral momentum | airfoil | airfoil | wing | wing | stall | stall | friction drag | friction drag | induced drag | induced drag | wave drag | wave drag | pressure drag | pressure drag | fluid element | fluid element | shear strain | shear strain | normal strain | normal strain | vorticity | vorticity | divergence | divergence | substantial derivative | substantial derivative | laminar | laminar | displacement thickness | displacement thickness | momentum thickness | momentum thickness | skin friction | skin friction | separation | separation | velocity profile | velocity profile | 2-d panel | 2-d panel | 3-d vortex | 3-d vortex | thin airfoil | thin airfoil | lifting line | lifting line | aspect ratio | aspect ratio | twist | twist | camber | camber | wing loading | wing loading | roll moments | roll moments | finite volume approximation | finite volume approximation | shocks | shocks | expansion fans | expansion fans | shock-expansion theory | shock-expansion theory | transonic | transonic | critical mach number | critical mach number | wing sweep | wing sweep | Kutta condition | Kutta condition | team project | team project | blended-wing-body | blended-wing-body | computational fluid dynamics | computational fluid dynamicsLicense

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.htmSite sourced from

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See all metadata16.13 Aerodynamics of Viscous Fluids (MIT) 16.13 Aerodynamics of Viscous Fluids (MIT)

Description

The major focus of 16.13 is on boundary layers, and boundary layer theory subject to various flow assumptions, such as compressibility, turbulence, dimensionality, and heat transfer. Parameters influencing aerodynamic flows and transition and influence of boundary layers on outer potential flow are presented, along with associated stall and drag mechanisms. Numerical solution techniques and exercises are included. The major focus of 16.13 is on boundary layers, and boundary layer theory subject to various flow assumptions, such as compressibility, turbulence, dimensionality, and heat transfer. Parameters influencing aerodynamic flows and transition and influence of boundary layers on outer potential flow are presented, along with associated stall and drag mechanisms. Numerical solution techniques and exercises are included.Subjects

aerodynamics | aerodynamics | viscous fluids | viscous fluids | viscosity | viscosity | fundamental theorem of kinematics | fundamental theorem of kinematics | convection | convection | vorticity | vorticity | strain | strain | Eulerian description | Eulerian description | Lagrangian description | Lagrangian description | conservation of mass | conservation of mass | continuity | continuity | conservation of momentum | conservation of momentum | stress tensor | stress tensor | newtonian fluid | newtonian fluid | circulation | circulation | Navier-Stokes | Navier-Stokes | similarity | similarity | dimensional analysis | dimensional analysis | thin shear later approximation | thin shear later approximation | TSL coordinates | TSL coordinates | boundary conditions | boundary conditions | shear later categories | shear later categories | local scaling | local scaling | Falkner-Skan flows | Falkner-Skan flows | solution techniques | solution techniques | finite difference methods | finite difference methods | Newton-Raphson | Newton-Raphson | integral momentum equation | integral momentum equation | Thwaites method | Thwaites method | integral kinetic energy equation | integral kinetic energy equation | dissipation | dissipation | asymptotic perturbation | asymptotic perturbation | displacement body | displacement body | transpiration | transpiration | form drag | form drag | stall | stall | interacting boundary layer theory | interacting boundary layer theory | stability | stability | transition | transition | small-perturbation | small-perturbation | Orr-Somemerfeld | Orr-Somemerfeld | temporal amplification | temporal amplification | spatial amplification | spatial amplification | Reynolds | Reynolds | Prandtl | Prandtl | turbulent boundary layer | turbulent boundary layer | wake | wake | wall layers | wall layers | inner variables | inner variables | outer variables | outer variables | roughness | roughness | Clauser | Clauser | Dissipation formula | Dissipation formula | integral closer | integral closer | turbulence modeling | turbulence modeling | transport models | transport models | turbulent shear layers | turbulent shear layers | compressible then shear layers | compressible then shear layers | compressibility | compressibility | temperature profile | temperature profile | heat flux | heat flux | 3D boundary layers | 3D boundary layers | crossflow | crossflow | lateral dilation | lateral dilation | 3D separation | 3D separation | constant-crossflow | constant-crossflow | 3D transition | 3D transition | compressible thin shear layers | compressible thin shear layersLicense

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.htmSite sourced from

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This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems. This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems.Subjects

diffusion | diffusion | Laplace equations | Laplace equations | Poisson | Poisson | wave equations | wave equations | separation of variables | separation of variables | Fourier series | Fourier series | Fourier transforms | Fourier transforms | eigenvalue problems | eigenvalue problems | Green's function | Green's function | Heat Equation | Heat Equation | Sturm-Liouville Eigenvalue problems | Sturm-Liouville Eigenvalue problems | quasilinear PDEs | quasilinear PDEs | Bessel functionsORDS | Bessel functionsORDSLicense

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.htmSite sourced from

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This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods and tools for solving these PDEs, such as separation of variables, Fourier series and transforms, eigenvalue problems, and Green's functions. This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods and tools for solving these PDEs, such as separation of variables, Fourier series and transforms, eigenvalue problems, and Green's functions.Subjects

diffusion | diffusion | Laplace equations | Laplace equations | Poisson | Poisson | wave equations | wave equations | separation of variables | separation of variables | Fourier series | Fourier series | Fourier transforms | Fourier transforms | eigenvalue problems | eigenvalue problems | Green's function | Green's function | Heat Equation | Heat Equation | Sturm-Liouville Eigenvalue problems | Sturm-Liouville Eigenvalue problems | quasilinear PDEs | quasilinear PDEs | Bessel functions | Bessel functionsLicense

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.htmSite sourced from

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See all metadata18.901 Introduction to Topology (MIT) 18.901 Introduction to Topology (MIT)

Description

This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group. This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group.Subjects

topology | topology | topological spaces | topological spaces | continuous functions | continuous functions | connectedness | connectedness | compactness | compactness | separation axioms | separation axioms | function spaces | function spaces | metrization theorems | metrization theorems | embedding theorems | embedding theorems | the fundamental group | the fundamental groupLicense

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.htmSite sourced from

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An advanced course covering anatomical, physiological, behavioral, and computational studies of the central nervous system relevant to speech and hearing. Students learn primarily by discussions of scientific papers on topics of current interest. Recent topics include cell types and neural circuits in the auditory brainstem, organization and processing in the auditory cortex, auditory reflexes and descending systems, functional imaging of the human auditory system, quantitative methods for relating neural responses to behavior, speech motor control, cortical representation of language, and auditory learning in songbirds. An advanced course covering anatomical, physiological, behavioral, and computational studies of the central nervous system relevant to speech and hearing. Students learn primarily by discussions of scientific papers on topics of current interest. Recent topics include cell types and neural circuits in the auditory brainstem, organization and processing in the auditory cortex, auditory reflexes and descending systems, functional imaging of the human auditory system, quantitative methods for relating neural responses to behavior, speech motor control, cortical representation of language, and auditory learning in songbirds.Subjects

HST.722 | HST.722 | 9.044 | 9.044 | separation operations | separation operations | recovery of products from biological processes | recovery of products from biological processes | membrane filtration | membrane filtration | chromatography | chromatography | centrifugation | centrifugation | cell disruption | cell disruption | extraction | extraction | process design | process design | downstream processing | downstream processing | biochemical product recovery | biochemical product recovery | modes of recovery and purification | modes of recovery and purification | biochemical engineering | biochemical engineering | hearing | hearing | speech | speech | auditory brainstem | auditory brainstem | auditory cortex | auditory cortex | auditory reflexes | auditory reflexes | descending systems | descending systems | human auditory system | human auditory system | speech motor control | speech motor control | auditory learning | auditory learning | cortical representation | cortical representation | dorsal cochlear nucleus | dorsal cochlear nucleus | neural coding | neural coding | thalamo-cortical organization | thalamo-cortical organization | thalamo-cortical processing | thalamo-cortical processing | audio-visual integration | audio-visual integrationLicense

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.htmSite sourced from

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This course introduces students to the work of the Supreme Court and to the main outlines of American constitutional law, with an emphasis on the development of American ideas about civil rights. The goal of the course is to provide students with a framework for understanding the major constitutional controversies of the present day through a reading of landmark Supreme Court cases and the public debates they have generated. The principal topics are civil liberties in wartime, race relations, privacy rights, and the law of criminal procedure. This course introduces students to the work of the Supreme Court and to the main outlines of American constitutional law, with an emphasis on the development of American ideas about civil rights. The goal of the course is to provide students with a framework for understanding the major constitutional controversies of the present day through a reading of landmark Supreme Court cases and the public debates they have generated. The principal topics are civil liberties in wartime, race relations, privacy rights, and the law of criminal procedure.Subjects

Supreme Court | Supreme Court | Congress | Congress | constitutional law | constitutional law | racial profiling | racial profiling | wartime | wartime | affirmative action | affirmative action | constitutionality | constitutionality | civil rights | civil rights | civil liberties | civil liberties | roe | roe | wade | wade | economic liberties | economic liberties | desegregation | desegregation | gender discrimination | gender discrimination | gay marriage | gay marriage | sexual orientation | sexual orientation | fundamental rights | fundamental rights | federalism | federalism | separation of powers | separation of powers | supreme court cases | supreme court cases | marbury | marbury | madison | madison | mccullough | mccullough | maryland | maryland | bush | bush | gore | gore | dred scott | dred scott | sanford | sanford | brown | brown | board of education | board of education | equal protection of the laws | equal protection of the laws | immigration | immigration | welfare | welfare | Eighth Amendment | Eighth Amendment | First Amendment | First Amendment | poverty | poverty | criminal procedure | criminal procedure | World War II | World War II | Korean War | Korean War | post 9/11 america | post 9/11 america | judicial review | judicial review | religion | religion | citizenship | citizenshipLicense

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.htmSite sourced from

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This course focuses on computational and experimental analysis of biological systems across a hierarchy of scales, including genetic, molecular, cellular, and cell population levels. The two central themes of the course are modeling of complex dynamic systems and protein design and engineering. Topics include gene sequence analysis, molecular modeling, metabolic and gene regulation networks, signal transduction pathways and cell populations in tissues. Emphasis is placed on experimental methods, quantitative analysis, and computational modeling. This course focuses on computational and experimental analysis of biological systems across a hierarchy of scales, including genetic, molecular, cellular, and cell population levels. The two central themes of the course are modeling of complex dynamic systems and protein design and engineering. Topics include gene sequence analysis, molecular modeling, metabolic and gene regulation networks, signal transduction pathways and cell populations in tissues. Emphasis is placed on experimental methods, quantitative analysis, and computational modeling.Subjects

biological engineering | biological engineering | kinase | kinase | PyMOL | PyMOL | PyRosetta | PyRosetta | MATLAB | MATLAB | Michaelis-Menten | Michaelis-Menten | bioreactor | bioreactor | bromodomain | bromodomain | protein-ligand interactions | protein-ligand interactions | titration analysis | titration analysis | fractional separation | fractional separation | isothermal titration calorimetry | isothermal titration calorimetry | ITC | ITC | mass spectrometry | mass spectrometry | MS | MS | co-immunoprecipitation | co-immunoprecipitation | Co-IP | Co-IP | Forster resonance energy transfer | Forster resonance energy transfer | FRET | FRET | primary ligation assay | primary ligation assay | PLA | PLA | surface plasmon resonance | surface plasmon resonance | SPR | SPR | enzyme kinetics | enzyme kinetics | kinase engineering | kinase engineering | competitive inhibition | competitive inhibition | epidermal growth factor receptor | epidermal growth factor receptor | mitogen-activated protein kinase | mitogen-activated protein kinase | MAPK | MAPK | genome editing | genome editing | Imatinib | Imatinib | Gleevec | Gleevec | Glivec | Glivec | drug delivery | drug delivery | kinetics of molecular processes | kinetics of molecular processes | dynamics of molecular processes | dynamics of molecular processes | kinetics of cellular processes | kinetics of cellular processes | dynamics of cellular processes | dynamics of cellular processes | intracellular scale | intracellular scale | extracellular scale | extracellular scale | and cell population scale | and cell population scale | biotechnology applications | biotechnology applications | gene regulation networks | gene regulation networks | nucleic acid hybridization | nucleic acid hybridization | signal transduction pathways | signal transduction pathways | cell populations in tissues | cell populations in tissues | cell populations in bioreactors | cell populations in bioreactors | experimental methods | experimental methods | quantitative analysis | quantitative analysis | computational modeling | computational modelingLicense

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.htmSite sourced from

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This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat / diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems. The Julia Language (a free, open-source environment) is introduced and used in homework for simple examples. This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat / diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems. The Julia Language (a free, open-source environment) is introduced and used in homework for simple examples.Subjects

diffusion | diffusion | Laplace equations | Laplace equations | Poisson | Poisson | wave equations | wave equations | separation of variables | separation of variables | Fourier series | Fourier series | Fourier transforms | Fourier transforms | eigenvalue problems | eigenvalue problems | Green's function | Green's function | Heat Equation | Heat Equation | Sturm-Liouville Eigenvalue problems | Sturm-Liouville Eigenvalue problems | quasilinear PDEs | quasilinear PDEs | Bessel functionsORDS | Bessel functionsORDSLicense

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.htmSite sourced from

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This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems. This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems.Subjects

diffusion | diffusion | Laplace equations | Laplace equations | Poisson | Poisson | wave equations | wave equations | separation of variables | separation of variables | Fourier series | Fourier series | Fourier transforms | Fourier transforms | eigenvalue problems | eigenvalue problems | Green's function | Green's function | Heat Equation | Heat Equation | Sturm-Liouville Eigenvalue problems | Sturm-Liouville Eigenvalue problems | quasilinear PDEs | quasilinear PDEs | Bessel functionsORDS | Bessel functionsORDSLicense

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.htmSite sourced from

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See all metadata6.441 Information Theory (MIT)

Description

This is a graduate-level introduction to mathematics of information theory. We will cover both classical and modern topics, including information entropy, lossless data compression, binary hypothesis testing, channel coding, and lossy data compression.Subjects

properties of information | entropy | divergence | information measures | mutual information | sufficient statistic | probability of error | entropy rate | lossless data compression | fixed-length compression | ergodic sources | universal compression | binary hypothesis testing | information projection | channel coding | achievability bounds | linear codes | gaussian channels | input constraints | lattice codes | energy-per-bit | source-channel separation | feedback | forney concatenation | lossy compression | distortion | multiple-access channel | random number generator | source coding theorem | noisy communication | channel coding theorem | source channel separation theorem | broadcast channels | Gaussian noise | time-varying channelsLicense

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.htmSite sourced from

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See all metadataEarly moments of the Apollo 11 launch

Description

Subjects

aviation | nasa | rocket | boeing | douglas | apollo | armstrong | aldrin | collins | staging | aerospace | saturnv | grumman | apolloxi | spaceflight | michaelcollins | apollo11 | projectapollo | buzzaldrin | neilarmstrong | spaceexploration | naa | nationalaeronauticsandspaceadministration | northamericanaviation | mannedspaceflight | s1c | apolloproject | apolloprogram | douglasaircraft | saturnrocket | edwinbuzzaldrin | northamericanrockwell | douglasaircraftcompany | stageseparation | firststageseparationLicense

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See all metadata17.245 The Supreme Court, Civil Liberties, and Civil Rights (MIT)

Description

This course introduces students to the work of the Supreme Court and to the main outlines of American constitutional law, with an emphasis on the development of American ideas about civil rights. The goal of the course is to provide students with a framework for understanding the major constitutional controversies of the present day through a reading of landmark Supreme Court cases and the public debates they have generated. The principal topics are civil liberties in wartime, race relations, privacy rights, and the law of criminal procedure.Subjects

Supreme Court | Congress | constitutional law | racial profiling | wartime | affirmative action | constitutionality | civil rights | civil liberties | roe | wade | economic liberties | desegregation | gender discrimination | gay marriage | sexual orientation | fundamental rights | federalism | separation of powers | supreme court cases | marbury | madison | mccullough | maryland | bush | gore | dred scott | sanford | brown | board of education | equal protection of the laws | immigration | welfare | Eighth Amendment | First Amendment | poverty | criminal procedure | World War II | Korean War | post 9/11 america | judicial review | religion | citizenshipLicense

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.htmSite sourced from

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See all metadata10.445 Separation Processes for Biochemical Products (MIT)

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This course serves as an introduction to the fundamental principles of separation operations for the recovery of products from biological processes, membrane filtration, chromatography, centrifugation, cell disruption, extraction, and process design. This course was last taught during the regular school year in the Spring semester of 1999, but has been a part of the MIT Technology and Development Program (TDP) at the Malaysia University of Science and Technology (MUST), as well as at MIT's Professional Institute in more recent years.Subjects

separation operations | recovery of products from biological processes | membrane filtration | chromatography | centrifugation | cell disruption | extraction | process design | downstream processing | biochemical product recovery | modes of recovery and purification | biochemical engineeringLicense

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.htmSite sourced from

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This course presents the mechanical, optical, and transport properties of polymers with respect to the underlying physics and physical chemistry of polymers in melt, solution, and solid state. Topics include conformation and molecular dimensions of polymer chains in solutions, melts, blends, and block copolymers; an examination of the structure of glassy, crystalline, and rubbery elastic states of polymers; thermodynamics of polymer solutions, blends, crystallization; liquid crystallinity, microphase separation, and self-assembled organic-inorganic nanocomposites. Case studies include relationships between structure and function in technologically important polymeric systems.Subjects

mechanical | optical | transport | physical chemistry | chemistry | physics | melt | solution | solid | polymer chain | copolymer | glass | crystal | rubber | elastic | thermodynamics | microphase separation | organic | inorganic | nanocompositeLicense

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.htmSite sourced from

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See all metadataPhase separation in solid solution upon cooling: vial projection

Description

The vial containing a mixture of cyclohexane and aniline cooling from 35°, has been filmed perpendicular to the direction of the laser light (left to right). When the critical temperature is reached and the mixture goes from a single phase to two phases, the spot of light on the screen is disrupted as the phases separate. The spot "flickers" and then becomes totally diffuse. It will eventually form a single spot again once the transition is completed and the two chemicals have completely separated. Ten times actual speed. From TLP: Solid Solutions (speeded up by a factor of 10 times) http://www.msm.cam.ac.uk/doitpoms/tlplib/solid-solutions/demo.phpSubjects

solid solutions | phase separation | DoITPoMS | University of Cambridge | video | corematerials | ukoerLicense

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