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18.086 Mathematical Methods for Engineers II (MIT) 18.086 Mathematical Methods for Engineers II (MIT)

Description

Includes audio/video content: AV lectures. This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization. Includes audio/video content: AV lectures. This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization.

Subjects

Scientific computing: Fast Fourier Transform | Scientific computing: Fast Fourier Transform | finite differences | finite differences | finite elements | finite elements | spectral method | spectral method | numerical linear algebra | numerical linear algebra | Complex variables and applications | Complex variables and applications | Initial-value problems: stability or chaos in ordinary differential equations | Initial-value problems: stability or chaos in ordinary differential equations | wave equation versus heat equation | wave equation versus heat equation | conservation laws and shocks | conservation laws and shocks | dissipation and dispersion | dissipation and dispersion | Optimization: network flows | Optimization: network flows | linear programming | linear programming | Scientific computing: Fast Fourier Transform | finite differences | finite elements | spectral method | numerical linear algebra | Scientific computing: Fast Fourier Transform | finite differences | finite elements | spectral method | numerical linear algebra | Initial-value problems: stability or chaos in ordinary differential equations | wave equation versus heat equation | conservation laws and shocks | dissipation and dispersion | Initial-value problems: stability or chaos in ordinary differential equations | wave equation versus heat equation | conservation laws and shocks | dissipation and dispersion | Optimization: network flows | linear programming | Optimization: network flows | linear programming

License

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18.306 Advanced Partial Differential Equations with Applications (MIT) 18.306 Advanced Partial Differential Equations with Applications (MIT)

Description

This course presents the concepts and techniques for solving partial differential equations (pde), with emphasis on nonlinear pde. This course presents the concepts and techniques for solving partial differential equations (pde), with emphasis on nonlinear pde.

Subjects

partial differential equations (pde) | partial differential equations (pde) | nonlinear pde | nonlinear pde | Diffusion | Diffusion | dispersion | dispersion | Initial and boundary value problems | Initial and boundary value problems | Characteristics and shocks | Characteristics and shocks | Separation of variables | Separation of variables | transform methods | transform methods | Green's functions | Green's functions | Asymptotics | Asymptotics | geometrical theory | geometrical theory | Dimensional analysis | Dimensional analysis | self-similarity | self-similarity | traveling waves | traveling waves | Singular perturbation and boundary layers | Singular perturbation and boundary layers | Solitons | Solitons | Variational methods | Variational methods | Free-boundary problems | Free-boundary problems | fluid dynamics | fluid dynamics | electrical engineering | electrical engineering | mechanical engineering | mechanical engineering | materials science | materials science | quantum mechanics | quantum mechanics

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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11.220 Quantitative Reasoning and Statistical Method for Planning I (MIT) 11.220 Quantitative Reasoning and Statistical Method for Planning I (MIT)

Description

This course develops logical, empirically based arguments using statistical techniques and analytic methods. It covers elementary statistics, probability, and other types of quantitative reasoning useful for description, estimation, comparison, and explanation. Emphasis is placed on the use and limitations of analytical techniques in planning practice. This course is required for and restricted to first-year Master in City Planning students. This course develops logical, empirically based arguments using statistical techniques and analytic methods. It covers elementary statistics, probability, and other types of quantitative reasoning useful for description, estimation, comparison, and explanation. Emphasis is placed on the use and limitations of analytical techniques in planning practice. This course is required for and restricted to first-year Master in City Planning students.

Subjects

statistics | statistics | statistical methods | statistical methods | quantitative research | quantitative research | argument | argument | measurement | measurement | research design | research design | frequency distribution | frequency distribution | histogram | histogram | stemplot | stemplot | boxplot | boxplot | dispersion | dispersion | probability | probability | normal distribution | normal distribution | binomial distribution | binomial distribution | sampling | sampling | confidence interval | confidence interval | significance | significance | correlation | correlation | regression | regression

License

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1.061 Transport Processes in the Environment (MIT) 1.061 Transport Processes in the Environment (MIT)

Description

This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport. This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport.

Subjects

river systems | river systems | lake systems | lake systems | scalar transport in environmental flows | scalar transport in environmental flows | momentum transport in environmental flows | momentum transport in environmental flows | stratification in lakes | stratification in lakes | buoyancy-driven flows | buoyancy-driven flows | settling and coagulation | settling and coagulation | air-water exchange | air-water exchange | bed-water exchange | bed-water exchange | phase partitioning | phase partitioning | dissolution | dissolution | boundary layers | boundary layers | molecular diffusion | molecular diffusion | turbulent diffusion | turbulent diffusion | water transportation | water transportation | advection | advection | aquatic systems | aquatic systems | conservation of mass | conservation of mass | derivation | derivation | Diffusion | Diffusion | dispersion | dispersion | environmental flows | environmental flows | instantaneous point source | instantaneous point source | lakes | lakes | mass | mass | transport | transport | particle transport | particle transport | rivers | rivers | scaling | scaling | turbulence | turbulence | water flow | water flow

License

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12.510 Introduction to Seismology (MIT) 12.510 Introduction to Seismology (MIT)

Description

This graduate level course presents a basic study in seismology and the utilization of seismic waves for the study of Earth's interior. It introduces techniques necessary for understanding of elastic wave propagation in layered media. This graduate level course presents a basic study in seismology and the utilization of seismic waves for the study of Earth's interior. It introduces techniques necessary for understanding of elastic wave propagation in layered media.

Subjects

seismology | seismology | utilization of seismic waves | utilization of seismic waves | Earth's interior | Earth's interior | elastic wave propagation in stratified media | elastic wave propagation in stratified media | synthetic seismograms | synthetic seismograms | WKBJ | WKBJ | mode summation | mode summation | Ray theory | Ray theory | interpretation of travel times | interpretation of travel times | surface wave dispersion in layered media | surface wave dispersion in layered media | Earth's free oscillations | Earth's free oscillations | seismicity | seismicity | earthquake locations | earthquake locations

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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1.72 Groundwater Hydrology (MIT) 1.72 Groundwater Hydrology (MIT)

Description

This course covers fundamentals of subsurface flow and transport, emphasizing the role of groundwater in the hydrologic cycle, the relation of groundwater flow to geologic structure, and the management of contaminated groundwater. The class includes laboratory and computer demonstrations.Technical RequirementsFEFLOW® software  is required for two problem sets on this course site. FEFLOW® (Finite Element subsurface FLOW system) is a 3-D groundwater modeling software, developed by WASY, a German consulting firm. FEFLOW® uses the finite element method to solve 3D groundwater flow equations. RealOne™ Player software is required to run the .rm files found on this course site. This course covers fundamentals of subsurface flow and transport, emphasizing the role of groundwater in the hydrologic cycle, the relation of groundwater flow to geologic structure, and the management of contaminated groundwater. The class includes laboratory and computer demonstrations.Technical RequirementsFEFLOW® software  is required for two problem sets on this course site. FEFLOW® (Finite Element subsurface FLOW system) is a 3-D groundwater modeling software, developed by WASY, a German consulting firm. FEFLOW® uses the finite element method to solve 3D groundwater flow equations. RealOne™ Player software is required to run the .rm files found on this course site.

Subjects

D'arcy equation | D'arcy equation | flow nets | flow nets | mass conservation | mass conservation | the aquifer flow equation | the aquifer flow equation | heterogeneity and anisotropy | heterogeneity and anisotropy | storage properties | storage properties | regional circulation | regional circulation | unsaturated flow | unsaturated flow | recharge | recharge | stream-aquifer interaction | stream-aquifer interaction | well hydraulics | well hydraulics | flow through fractured rock | flow through fractured rock | numerical models | numerical models | groundwater quality | groundwater quality | contaminant transport processes | contaminant transport processes | dispersion | dispersion | decay | decay | adsorption | adsorption

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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12.820 Turbulence in Geophysical Systems (MIT) 12.820 Turbulence in Geophysical Systems (MIT)

Description

This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves. This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves.

Subjects

Phenomena | theory | and modeling of turbulence | Phenomena | theory | and modeling of turbulence | oceans | oceans | atmosphere | atmosphere | fine structure | fine structure | planetary scale motions | planetary scale motions | homogeneous flows | homogeneous flows | geostrophic motions | geostrophic motions | shear flows | shear flows | convection | convection | boundary layers | boundary layers | stably stratified flows | stably stratified flows | internal waves | internal waves | turbulence flows | turbulence flows | earth | earth | energetics | energetics | isotropic homogeneous 2D turbulence | isotropic homogeneous 2D turbulence | isotropic homogeneous 3d flows | isotropic homogeneous 3d flows | quasi-geostrophic turbulence | quasi-geostrophic turbulence | parameterizing turbulence | parameterizing turbulence | wave dynamics | wave dynamics | turbulent dispersion | turbulent dispersion | coherent structures | 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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18.086 Mathematical Methods for Engineers II (MIT) 18.086 Mathematical Methods for Engineers II (MIT)

Description

This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization.Technical RequirementsFile decompression software, such as Winzip® or StuffIt®, is required to open the .zip files found on this course site. MATLAB® software is required to run the .m files found on this course site. This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization.Technical RequirementsFile decompression software, such as Winzip® or StuffIt®, is required to open the .zip files found on this course site. MATLAB® software is required to run the .m files found on this course site.

Subjects

Scientific computing: Fast Fourier Transform | Scientific computing: Fast Fourier Transform | finite differences | finite differences | finite elements | finite elements | spectral method | spectral method | numerical linear algebra | numerical linear algebra | Complex variables and applications | Complex variables and applications | Initial-value problems: stability or chaos in ordinary differential equations | Initial-value problems: stability or chaos in ordinary differential equations | wave equation versus heat equation | wave equation versus heat equation | conservation laws and shocks | conservation laws and shocks | dissipation and dispersion | dissipation and dispersion | Optimization: network flows | Optimization: network flows | linear programming | linear programming

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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1.061 Transport Processes in the Environment (MIT) 1.061 Transport Processes in the Environment (MIT)

Description

Includes audio/video content: AV faculty introductions. This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport. Includes audio/video content: AV faculty introductions. This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport.

Subjects

river systems | river systems | lake systems | lake systems | scalar transport in environmental flows | scalar transport in environmental flows | momentum transport in environmental flows | momentum transport in environmental flows | stratification in lakes | stratification in lakes | buoyancy-driven flows | buoyancy-driven flows | settling and coagulation | settling and coagulation | air-water exchange | air-water exchange | bed-water exchange | bed-water exchange | phase partitioning | phase partitioning | dissolution | dissolution | boundary layers | boundary layers | molecular diffusion | molecular diffusion | turbulent diffusion | turbulent diffusion | water transportation | water transportation | advection | advection | aquatic systems | aquatic systems | conservation of mass | conservation of mass | derivation | derivation | Diffusion | Diffusion | dispersion | dispersion | environmental flows | environmental flows | instantaneous point source | instantaneous point source | lakes | lakes | mass | mass | transport | transport | particle transport | particle transport | rivers | rivers | scaling | scaling | turbulence | turbulence | water flow | water flow

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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24.963 Linguistic Phonetics (MIT) 24.963 Linguistic Phonetics (MIT)

Description

Includes audio/video content: AV special element audio. This course is a study of speech sounds: how we produce and perceive them and their acoustic properties. It explores the influence of the production and perception systems on phonological patterns and sound change. Acoustic analysis and experimental techniques are also discussed. Includes audio/video content: AV special element audio. This course is a study of speech sounds: how we produce and perceive them and their acoustic properties. It explores the influence of the production and perception systems on phonological patterns and sound change. Acoustic analysis and experimental techniques are also discussed.

Subjects

phonetics | phonetics | acoustics | acoustics | audition | audition | A/D conversion | A/D conversion | grammars | grammars | source-filter theory | source-filter theory | spectral analysis | spectral analysis | adaptive dispersion | adaptive dispersion | quantal theory | quantal theory | fricatives | fricatives | stops | stops | statistics | statistics | speech perception | speech perception | sounds | sounds | nasals | nasals | laterals | laterals | coarticulation | coarticulation | speech production | speech production | timing | timing | coordination | coordination | variability | variability

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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1.72 Groundwater Hydrology (MIT) 1.72 Groundwater Hydrology (MIT)

Description

This course covers fundamentals of subsurface flow and transport, emphasizing the role of groundwater in the hydrologic cycle, the relation of groundwater flow to geologic structure, and the management of contaminated groundwater. The class includes laboratory and computer demonstrations. This course covers fundamentals of subsurface flow and transport, emphasizing the role of groundwater in the hydrologic cycle, the relation of groundwater flow to geologic structure, and the management of contaminated groundwater. The class includes laboratory and computer demonstrations.

Subjects

D'arcy equation | D'arcy equation | flow nets | flow nets | mass conservation | mass conservation | the aquifer flow equation | the aquifer flow equation | heterogeneity and anisotropy | heterogeneity and anisotropy | storage properties | storage properties | regional circulation | regional circulation | unsaturated flow | unsaturated flow | recharge | recharge | stream-aquifer interaction | stream-aquifer interaction | well hydraulics | well hydraulics | flow through fractured rock | flow through fractured rock | numerical models | numerical models | groundwater quality | groundwater quality | contaminant transport processes | contaminant transport processes | dispersion | dispersion | decay | decay | adsorption | adsorption

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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1.63 Advanced Fluid Dynamics of the Environment (MIT) 1.63 Advanced Fluid Dynamics of the Environment (MIT)

Description

Designed to familiarize students with theories and analytical tools useful for studying research literature, this course is a survey of fluid mechanical problems in the water environment. Because of the inherent nonlinearities in the governing equations, we shall emphasize the art of making analytical approximations not only for facilitating calculations but also for gaining deeper physical insight. The importance of scales will be discussed throughout the course in lectures and homeworks. Mathematical techniques beyond the usual preparation of first-year graduate students will be introduced as a part of the course. Topics vary from year to year. Designed to familiarize students with theories and analytical tools useful for studying research literature, this course is a survey of fluid mechanical problems in the water environment. Because of the inherent nonlinearities in the governing equations, we shall emphasize the art of making analytical approximations not only for facilitating calculations but also for gaining deeper physical insight. The importance of scales will be discussed throughout the course in lectures and homeworks. Mathematical techniques beyond the usual preparation of first-year graduate students will be introduced as a part of the course. Topics vary from year to year.

Subjects

fluid dynamics | fluid dynamics | fluid motion | fluid motion | Cartesian tensor convention | Cartesian tensor convention | scaling | scaling | approximations | approximations | slow flow | slow flow | Stokes flow | Stokes flow | Oseen | Oseen | spreading | spreading | gravity | gravity | stratified fluid | stratified fluid | boundary layer | boundary layer | high speed flow | high speed flow | jets | jets | thermal plume | thermal plume | pure fluids | pure fluids | porous media | porous media | similarity method of solution | similarity method of solution | shear | shear | stratification | stratification | Orr-Sommerfeld | Orr-Sommerfeld | capillary phenomena | capillary phenomena | bubbles | bubbles | drops | drops | Marangoni instability | Marangoni instability | contact lines | contact lines | geophysical fluid dynamics | geophysical fluid dynamics | coastal flows | coastal flows | wind-induced flows | wind-induced flows | coastal upwelling | coastal upwelling | transient boundary layer | transient boundary layer | buoyancy | buoyancy | convection porous media | convection porous media | dispersion | dispersion | hydrodynamic instability | hydrodynamic instability | Kelvin-Helmholtz instability | Kelvin-Helmholtz instability

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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6.730 Physics for Solid-State Applications (MIT) 6.730 Physics for Solid-State Applications (MIT)

Description

This course examines classical and quantum models of electrons and lattice vibrations in solids, emphasizing physical models for elastic properties, electronic transport, and heat capacity. Topics covered include: crystal lattices, electronic energy band structures, phonon dispersion relatons, effective mass theorem, semiclassical equations of motion, and impurity states in semiconductors, band structure and transport properties of selected semiconductors, and connection of quantum theory of solids with quasifermi levels and Boltzmann transport used in device modeling. This course examines classical and quantum models of electrons and lattice vibrations in solids, emphasizing physical models for elastic properties, electronic transport, and heat capacity. Topics covered include: crystal lattices, electronic energy band structures, phonon dispersion relatons, effective mass theorem, semiclassical equations of motion, and impurity states in semiconductors, band structure and transport properties of selected semiconductors, and connection of quantum theory of solids with quasifermi levels and Boltzmann transport used in device modeling.

Subjects

physics | physics | solid state application | solid state application | quantum model | quantum model | electron | electron | lattice vibration | lattice vibration | electronic transport | electronic transport | heat capacity | heat capacity | elastic properties | elastic properties | cystal lattice | cystal lattice | electronic energy band | electronic energy band | phonon dispersion relatons | phonon dispersion relatons | effective mass theorem | effective mass theorem | motion equation | motion equation | impurity state | impurity state | semiconductor | semiconductor | band structure | band structure | transport properties | transport properties | quantum theory of solids | quantum theory of solids | quasifermi | quasifermi | Boltzmann transport | Boltzmann transport | device modeling | device modeling

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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12.510 Introduction to Seismology (MIT) 12.510 Introduction to Seismology (MIT)

Description

This graduate level course presents a basic study in seismology and the utilization of seismic waves for the study of Earth's interior. It introduces techniques necessary for understanding of elastic wave propagation in layered media. This graduate level course presents a basic study in seismology and the utilization of seismic waves for the study of Earth's interior. It introduces techniques necessary for understanding of elastic wave propagation in layered media.

Subjects

seismology | seismology | utilization of seismic waves | utilization of seismic waves | Earth's interior | Earth's interior | elastic wave propagation in stratified media | elastic wave propagation in stratified media | synthetic seismograms | synthetic seismograms | WKBJ | WKBJ | mode summation | mode summation | Ray theory | Ray theory | interpretation of travel times | interpretation of travel times | surface wave dispersion in layered media | surface wave dispersion in layered media | Earth's free oscillations | Earth's free oscillations | seismicity | seismicity | earthquake locations | earthquake locations

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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12.802 Wave Motions in the Ocean and Atmosphere (MIT) 12.802 Wave Motions in the Ocean and Atmosphere (MIT)

Description

This course is an introduction to basic ideas of geophysical wave motion in rotating, stratified, and rotating-stratified fluids. Subject begins with general wave concepts of phase and group velocity. It also covers the dynamics and kinematics of gravity waves with a focus on dispersion, energy flux, initial value problems, etc. Also addressed are subject foundation used to study internal and inertial waves, Kelvin, Poincare, and Rossby waves in homogeneous and stratified fluids. Laplace tidal equations are applied to equatorial waves. Other topics include: resonant interactions, potential vorticity, wave-mean flow interactions, and instability. This course is an introduction to basic ideas of geophysical wave motion in rotating, stratified, and rotating-stratified fluids. Subject begins with general wave concepts of phase and group velocity. It also covers the dynamics and kinematics of gravity waves with a focus on dispersion, energy flux, initial value problems, etc. Also addressed are subject foundation used to study internal and inertial waves, Kelvin, Poincare, and Rossby waves in homogeneous and stratified fluids. Laplace tidal equations are applied to equatorial waves. Other topics include: resonant interactions, potential vorticity, wave-mean flow interactions, and instability.

Subjects

geophysical wave motion | geophysical wave motion | rotating | stratified | and rotating-stratified fluids | rotating | stratified | and rotating-stratified fluids | general wave concepts | general wave concepts | phase | phase | group velocity | group velocity | dynamics and kinematics of gravity waves | dynamics and kinematics of gravity waves | dispersion | dispersion | energy flux | energy flux | initial value problems | initial value problems | internal and inertial waves | internal and inertial waves | Kelvin | Kelvin | Poincare | Poincare | and Rossby waves | and Rossby waves | homogeneous and stratified fluids | homogeneous and stratified fluids | Laplace tidal equations | Laplace tidal equations | equatorial waves | equatorial waves | resonant interactions | resonant interactions | potential vorticity | potential vorticity | wave-mean flow interactions | wave-mean flow interactions | instability | instability | 12. Kelvin | Poincare | and Rossby waves | 12. Kelvin | Poincare | and Rossby waves | Kelvin | Poincare | and Rossby waves | Kelvin | Poincare | and Rossby waves | internal gravity waves | internal gravity waves | surface gravity waves | surface gravity waves | rotation | rotation | large-scale hydrostatic motions | large-scale hydrostatic motions | vertical structure equation | vertical structure equation | equatorial ?-plane | equatorial ?-plane | Stratified Quasi-Geostrophic Motion | Stratified Quasi-Geostrophic Motion

License

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12.950 Atmospheric and Oceanic Modeling (MIT) 12.950 Atmospheric and Oceanic Modeling (MIT)

Description

The numerical methods, formulation and parameterizations used in models of the circulation of the atmosphere and ocean will be described in detail. Widely used numerical methods will be the focus but we will also review emerging concepts and new methods. The numerics underlying a hierarchy of models will be discussed, ranging from simple GFD models to the high-end GCMs. In the context of ocean GCMs, we will describe parameterization of geostrophic eddies, mixing and the surface and bottom boundary layers. In the atmosphere, we will review parameterizations of convection and large scale condensation, the planetary boundary layer and radiative transfer. The numerical methods, formulation and parameterizations used in models of the circulation of the atmosphere and ocean will be described in detail. Widely used numerical methods will be the focus but we will also review emerging concepts and new methods. The numerics underlying a hierarchy of models will be discussed, ranging from simple GFD models to the high-end GCMs. In the context of ocean GCMs, we will describe parameterization of geostrophic eddies, mixing and the surface and bottom boundary layers. In the atmosphere, we will review parameterizations of convection and large scale condensation, the planetary boundary layer and radiative transfer.

Subjects

numerical methods | numerical methods | formulation | formulation | parameterizations | parameterizations | models of the circulation of the atmosphere and ocean | models of the circulation of the atmosphere and ocean | numerics underlying a hierarchy of models | numerics underlying a hierarchy of models | simple GFD models | simple GFD models | high-end GCMs | high-end GCMs | ocean GCMs | ocean GCMs | parameterization of geostrophic eddies | parameterization of geostrophic eddies | mixing | mixing | surface and bottom boundary layers | surface and bottom boundary layers | atmosphere | atmosphere | parameterizations of convection | parameterizations of convection | large scale condensation | large scale condensation | planetary boundary layer | planetary boundary layer | radiative transfer | radiative transfer | finite difference method | finite difference method | Spatial discretization | Spatial discretization | numerical dispersion | numerical dispersion | Series expansion | Series expansion | Time-stepping | Time-stepping | Space-time discretization | Space-time discretization | Shallow water dynamics | Shallow water dynamics | Barotropic models | Barotropic models | Quasi-geostrophic equations | Quasi-geostrophic equations | Quasi-geostrophic models | Quasi-geostrophic models | Eddy parameterization | Eddy parameterization | Vertical coordinates | Vertical coordinates | primitive equations | primitive equations | Boundary layer parameterizations | Boundary layer parameterizations

License

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14.662 Labor Economics II (MIT) 14.662 Labor Economics II (MIT)

Description

This is the second of a two-part sequence of courses in labor economics. The course sequence is also open to qualified students in related fields and classes may be taken individually or out of sequence. This part of the sequence is principally concerned with issues relating to the determinants of the wage and salary distribution. The first half is organized around topics in wage determination, which are of particular interest for current research and policy and culminates with a focus on recent debates about the increasing dispersion of wage and salary income. The second half of the course is focused on labor market institutions and technological changes, and relates the debate about the income distribution to other major changes in the structure and texture of advanced industrial societi This is the second of a two-part sequence of courses in labor economics. The course sequence is also open to qualified students in related fields and classes may be taken individually or out of sequence. This part of the sequence is principally concerned with issues relating to the determinants of the wage and salary distribution. The first half is organized around topics in wage determination, which are of particular interest for current research and policy and culminates with a focus on recent debates about the increasing dispersion of wage and salary income. The second half of the course is focused on labor market institutions and technological changes, and relates the debate about the income distribution to other major changes in the structure and texture of advanced industrial societi

Subjects

labor | labor | economics | economics | trade unions | trade unions | wage differentials | wage differentials | international trade | international trade | wage and salary distribution | wage and salary distribution | wage determination | wage determination | increasing dispersion of wage and salary income | increasing dispersion of wage and salary income | labor market institutions | labor market institutions | technological changes | technological changes | income distribution | income distribution | United States and other advanced industrial countries | United States and other advanced industrial countries | moral hazard and agency | moral hazard and agency | Static single agent models | Static single agent models | Intrinsic motivation | Intrinsic motivation | Multiple tasks | Multiple tasks | Multiple agents | Multiple agents | Dynamic agency | Dynamic agency | Efficiency wages | Efficiency wages | Employer Wage Differentials | Employer Wage Differentials | Industry and firm size differentials | Industry and firm size differentials | Compensating differentials | Compensating differentials | Discrimination and Differentials by Race and Gender | Discrimination and Differentials by Race and Gender | Changes in the Wage Structure and Inequality | Changes in the Wage Structure and Inequality | Worker Motivation and Behavior | Worker Motivation and Behavior | Social Dimensions of the Labor Force | Social Dimensions of the Labor Force | Social class | Social class | Social capital | Social capital | Immigration | Immigration | Quasi-unions in the New Labor Market | Quasi-unions in the New Labor Market | Labor market regulations in a global economy | Labor market regulations in a global economy

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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18.306 Advanced Partial Differential Equations with Applications (MIT) 18.306 Advanced Partial Differential Equations with Applications (MIT)

Description

The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that permeate various scientific disciplines. The emphasis is on nonlinear PDE. Applications include problems from fluid dynamics, electrical and mechanical engineering, materials science, quantum mechanics, etc. The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that permeate various scientific disciplines. The emphasis is on nonlinear PDE. Applications include problems from fluid dynamics, electrical and mechanical engineering, materials science, quantum mechanics, etc.

Subjects

partial differential equations (pde) | partial differential equations (pde) | nonlinear pde. Diffusion | nonlinear pde. Diffusion | dispersion | dispersion | Initial and boundary value problems | Initial and boundary value problems | Characteristics and shocks | Characteristics and shocks | Separation of variables | Separation of variables | transform methods | transform methods | Green's functions | Green's functions | Asymptotics | Asymptotics | geometrical theory | geometrical theory | Dimensional analysis | Dimensional analysis | self-similarity | self-similarity | traveling waves | traveling waves | Singular perturbation and boundary layers | Singular perturbation and boundary layers | Solitons | Solitons | Variational methods | Variational methods | Free-boundary problems | Free-boundary problems

License

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24.910 Topics in Linguistic Theory: Laboratory Phonology (MIT) 24.910 Topics in Linguistic Theory: Laboratory Phonology (MIT)

Description

The goal of this course is to prepare you to engage in experimental investigations of questions related to linguistic theory, focusing on phonetics and phonology. The goal of this course is to prepare you to engage in experimental investigations of questions related to linguistic theory, focusing on phonetics and phonology.

Subjects

audition | audition | digital signal processing | digital signal processing | acoustics of vowels | acoustics of vowels | adaptive dispersion | adaptive dispersion | spectral analysis | spectral analysis | licensing by cue | licensing by cue | intonation | intonation | meaning of intonation | meaning of intonation | lexicon | lexicon | cntext | cntext | speech perception | speech perception | phonetics | phonetics | phonology | phonology | accent variation | accent variation | laboratory phonology | laboratory phonology | source-filter theory | source-filter theory | A/D conversion | A/D conversion | acoustics | acoustics

License

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14.461 Advanced Macroeconomics I (MIT) 14.461 Advanced Macroeconomics I (MIT)

Description

This course covers three sets of topics. The first part will cover business cycle models with imperfect information. We will ask questions such as: What shocks drive business cycles? What is the relative role of shocks to fundamentals and shocks affecting expectations about (current and future) economic developments? How do informational frictions affect the shape of the responses to various shocks? The second part will cover models of investment with credit constraints. We will ask questions such as: What is the transmission mechanism from shocks to the financial sector to the real economy? What determines optimal decisions about capitalization at the individual and at the social level? The third part will cover search models of decentralized trade applied both to labor markets and to This course covers three sets of topics. The first part will cover business cycle models with imperfect information. We will ask questions such as: What shocks drive business cycles? What is the relative role of shocks to fundamentals and shocks affecting expectations about (current and future) economic developments? How do informational frictions affect the shape of the responses to various shocks? The second part will cover models of investment with credit constraints. We will ask questions such as: What is the transmission mechanism from shocks to the financial sector to the real economy? What determines optimal decisions about capitalization at the individual and at the social level? The third part will cover search models of decentralized trade applied both to labor markets and to

Subjects

news about the future and fluctuations | news about the future and fluctuations | dispersed information | dispersed information | estimating models with imperfect information | estimating models with imperfect information | models with limited pledgeability | models with limited pledgeability | models with corporate control problems | models with corporate control problems | models with intermediation and securitization | models with intermediation and securitization | financial frictions | financial frictions | investment | investment | labor market search and inefficiency | labor market search and inefficiency | wage dispersion | wage dispersion | moral hazard | moral hazard | optimal unemployment insurance | optimal unemployment insurance | money search | money search | liquidity | liquidity | adverse selection and lemons problem | adverse selection and lemons problem | decentralized trading in financial markets | decentralized trading in financial markets

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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18.311 Principles of Applied Mathematics (MIT) 18.311 Principles of Applied Mathematics (MIT)

Description

18.311 Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, including applications from traffic flow, fluids, elasticity, granular flows, etc. The class also covers continuum limit; conservation laws, quasi-equilibrium; kinematic waves; characteristics, simple waves, shocks; diffusion (linear and nonlinear); numerical solution of wave equations; finite differences, consistency, stability; discrete and fast Fourier transforms; spectral methods; transforms and series (Fourier, Laplace). Additional topics may include sonic booms, Mach cone, caustics, lattices, dispersion, and group velocity. 18.311 Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, including applications from traffic flow, fluids, elasticity, granular flows, etc. The class also covers continuum limit; conservation laws, quasi-equilibrium; kinematic waves; characteristics, simple waves, shocks; diffusion (linear and nonlinear); numerical solution of wave equations; finite differences, consistency, stability; discrete and fast Fourier transforms; spectral methods; transforms and series (Fourier, Laplace). Additional topics may include sonic booms, Mach cone, caustics, lattices, dispersion, and group velocity.

Subjects

partial differential equation | partial differential equation | hyperbolic equations | hyperbolic equations | dimensional analysis | dimensional analysis | perturbation methods | perturbation methods | hyperbolic systems | hyperbolic systems | diffusion and reaction processes | diffusion and reaction processes | continuum models | continuum models | equilibrium models | equilibrium models | continuous applied mathematics | continuous applied mathematics | traffic flow | traffic flow | fluids | fluids | elasticity | elasticity | granular flows | granular flows | continuum limit | continuum limit | conservation laws | conservation laws | quasi-equilibrium | quasi-equilibrium | kinematic waves | kinematic waves | characteristics | characteristics | simple waves | simple waves | shocks | shocks | diffusion (linear and nonlinear) | diffusion (linear and nonlinear) | numerical solution of wave equations | numerical solution of wave equations | finite differences | finite differences | consistency | consistency | stability | stability | discrete and fast Fourier transforms | discrete and fast Fourier transforms | spectral methods | spectral methods | transforms and series (Fourier | Laplace) | transforms and series (Fourier | Laplace) | sonic booms | sonic booms | Mach cone | Mach cone | caustics | caustics | lattices | lattices | dispersion | dispersion | group velocity | group velocity

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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14.662 Labor Economics II (MIT) 14.662 Labor Economics II (MIT)

Description

This is the second of a two-part sequence of courses in labor economics. The course sequence is also open to qualified students in related fields and classes may be taken individually or out of sequence. This part of the sequence is principally concerned with issues relating to the determinants of the wage and salary distribution. The first half is organized around topics in wage determination, which are of particular interest for current research and policy and culminates with a focus on recent debates about the increasing dispersion of wage and salary income. The second half of the course is focused on labor market institutions and technological changes, and relates the debate about the income distribution to other major changes in the structure and texture of advanced industrial societi This is the second of a two-part sequence of courses in labor economics. The course sequence is also open to qualified students in related fields and classes may be taken individually or out of sequence. This part of the sequence is principally concerned with issues relating to the determinants of the wage and salary distribution. The first half is organized around topics in wage determination, which are of particular interest for current research and policy and culminates with a focus on recent debates about the increasing dispersion of wage and salary income. The second half of the course is focused on labor market institutions and technological changes, and relates the debate about the income distribution to other major changes in the structure and texture of advanced industrial societi

Subjects

labor | labor | economics | economics | trade unions | trade unions | wage differentials | wage differentials | international trade | international trade | wage and salary distribution | wage and salary distribution | wage determination | wage determination | increasing dispersion of wage and salary income | increasing dispersion of wage and salary income | labor market institutions | labor market institutions | technological changes | technological changes | income distribution | income distribution | United States and other advanced industrial countries | United States and other advanced industrial countries | moral hazard and agency | moral hazard and agency | Static single agent models | Static single agent models | Intrinsic motivation | Intrinsic motivation | Multiple tasks | Multiple tasks | Multiple agents | Multiple agents | Dynamic agency | Dynamic agency | Efficiency wages | Efficiency wages | Employer Wage Differentials | Employer Wage Differentials | Industry and firm size differentials | Industry and firm size differentials | Compensating differentials | Compensating differentials | Discrimination and Differentials by Race and Gender | Discrimination and Differentials by Race and Gender | Changes in the Wage Structure and Inequality | Changes in the Wage Structure and Inequality | Worker Motivation and Behavior | Worker Motivation and Behavior | Social Dimensions of the Labor Force | Social Dimensions of the Labor Force | Social class | Social class | Social capital | Social capital | Immigration | Immigration | Quasi-unions in the New Labor Market | Quasi-unions in the New Labor Market | Labor market regulations in a global economy | Labor market regulations in a global economy

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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18.086 Mathematical Methods for Engineers II (MIT)

Description

This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization.

Subjects

Scientific computing: Fast Fourier Transform | finite differences | finite elements | spectral method | numerical linear algebra | Complex variables and applications | Initial-value problems: stability or chaos in ordinary differential equations | wave equation versus heat equation | conservation laws and shocks | dissipation and dispersion | Optimization: network flows | linear programming | Scientific computing: Fast Fourier Transform | finite differences | finite elements | spectral method | numerical linear algebra | Initial-value problems: stability or chaos in ordinary differential equations | wave equation versus heat equation | conservation laws and shocks | dissipation and dispersion | Optimization: network flows | linear programming

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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TALAT Lecture 1253: Creep

Description

This lecture constitutes an introduction to creep and to the creep response of aluminium and its alloys. It provides basic information on creep and its mechanisms; it gives a description of the more extensively used mathematical relations among creep variables (time, stress and temperature); it illustrates the creep response of pure Aluminium and of Al-Mg alloys; it provides a synthesis of the information available in the literature on the creep behaviour of a number of new alloys and composites in the form of a series of figures elaborated on the basis of the data reported in same sources. Basic knowledge of physics and chemistry and some familiarity with TALAT lectures 1201 through 1205 is assumed.

Subjects

aluminium | aluminum | european aluminium association | EAA | Training in Aluminium Application Technologies | training | metallurgy | technology | lecture | creep | creep curve | creep rate | diffusion | time to rupture | pure metals | solid solutions | creep strength | creep rupture | creep response | creep-resistant | composite | dispersion-strengthened | high strength alloys | corematerials | ukoer

License

http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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TALAT Lecture 1501: Properties, Characteristics and Alloys of Aluminium

Description

This lecture provides a survey of the aluminium alloys available to the user; it describes their various properties; it gives an insight into the choice of aluminium for a proposed application. In the context of this lecture not every individual alloy and its properties have been treated in detail, but rather divided into alloy types with reference to the most commonly used alloys. For further details on alloy properties the reader is referred to available databanks like ALUSELECT of the European Aluminium Association (EAA) or to the European and national materials standards. Good engineering background in materials, design and manufacturing processes is assumed.

Subjects

aluminium | aluminum | european aluminium association | EAA | Training in Aluminium Application Technologies | training | metallurgy | technology | lecture | properties | selection criteria | production | industry | recycled aluminium | secondary aluminium | atomic structure | crystal structure | density | electrical conductivity | resistivity | thermal conductivity | reflectance | non-magnetic | emissivity | corrosion resistance | thermal expansion | melting temperature | latent heat | specific heat | identification | aluminium - copper alloys | aluminium - manganese alloys | aluminium - silicon alloys | aluminium - magnesium alloys | aluminium - magnesium - silicon alloys | aluminium - zinc - magnesium alloys | aluminium - zinc - magnesium - copper alloys | ingot | casting | work hardening | dispersion hardening | solid solution hardening | precipitation hardening | temper designations | non heat-treatable alloys | heat-treatable alloys | applications | mechanical properties | tensile strength | strength/weight ratio | proof stress | elastic properties | elongation | compression | bearing | shear | hardness | ductility | creep | impact strength | elevated temperatures | low temperatures | fracture characteristics | fatigue | corematerials | ukoer

License

http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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