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16.07 Dynamics (MIT) 16.07 Dynamics (MIT)

Description

Dynamics starts with fundamentals of Newtonian mechanics. Further topics include kinematics, particle dynamics, motion relative to accelerated reference frames, work and energy, impulse and momentum, systems of particles and rigid body dynamics. Applications to aerospace engineering are discussed, including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics. Dynamics starts with fundamentals of Newtonian mechanics. Further topics include kinematics, particle dynamics, motion relative to accelerated reference frames, work and energy, impulse and momentum, systems of particles and rigid body dynamics. Applications to aerospace engineering are discussed, including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics.

Subjects

Curvilinear motion | Curvilinear motion | carteian coordinates | carteian coordinates | dynamics | dynamics | equations of motion | equations of motion | intrinsic coordinates | intrinsic coordinates | coordinate systems | coordinate systems | work | work | energy | energy | conservative forces | conservative forces | potential energy | potential energy | linear impulse | linear impulse | mommentum | mommentum | angular impulse | angular impulse | relative motion | relative motion | rotating axes | rotating axes | translating axes | translating axes | Newton's second law | Newton's second law | inertial forces | inertial forces | accelerometers | accelerometers | Newtonian relativity | Newtonian relativity | gravitational attraction | gravitational attraction | 2D rigid body kinematics | 2D rigid body kinematics | conservation laws for systems of particles | conservation laws for systems of particles | 2D rigid body dynamics | 2D rigid body dynamics | pendulums | pendulums | 3D rigid body kinematics | 3D rigid body kinematics | 3d rigid body dynamics | 3d rigid body dynamics | inertia tensor | inertia tensor | gyroscopic motion | gyroscopic motion | torque-free motion | torque-free motion | spin stabilization | spin stabilization | variable mass systems | variable mass systems | rocket equation | rocket equation | central foce motion | central foce motion | Keppler's laws | Keppler's laws | orbits | orbits | orbit transfer | orbit transfer | vibration | vibration | spring mass systems | spring mass systems | forced vibration | forced vibration | isolation | isolation | coupled oscillators | coupled oscillators | normal modes | normal modes | wave propagation | wave propagation | cartesian coordinates | cartesian coordinates | momentum | momentum | central force motion | central force motion

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MAS.630 Affective Computing (MIT) MAS.630 Affective Computing (MIT)

Description

This course explores computing that relates to, arises from, or deliberately influences emotion. Topics include the interaction of emotion with cognition and perception, the role of emotion in human-computer interaction, the communication of human emotion via face, voice, physiology, and behavior, construction of computers that can recognize and respond appropriately to human emotional expressions, the development of computers that "have" emotion, and other areas of current research interest. Weekly reading, discussion, and a term project are also required. This course explores computing that relates to, arises from, or deliberately influences emotion. Topics include the interaction of emotion with cognition and perception, the role of emotion in human-computer interaction, the communication of human emotion via face, voice, physiology, and behavior, construction of computers that can recognize and respond appropriately to human emotional expressions, the development of computers that "have" emotion, and other areas of current research interest. Weekly reading, discussion, and a term project are also required.

Subjects

Neuroscience findings | Neuroscience findings | emotion | emotion | Emotion and perception | Emotion and perception | decision-making | decision-making | and creativity | and creativity | Emotion and learning | Emotion and learning | Physiology of emotion | Physiology of emotion | recognition by machines | recognition by machines | wearable systems | wearable systems | Measuring frustration/stress for usability feedback | Measuring frustration/stress for usability feedback | Responding to user emotion to reduce user frustration | Responding to user emotion to reduce user frustration | Inducing emotion | Inducing emotion | Robots/agents that "have" emotion | Robots/agents that "have" emotion

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8.321 Quantum Theory I (MIT) 8.321 Quantum Theory I (MIT)

Description

8.321 is the first semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: Hilbert spaces, observables, uncertainty relations, eigenvalue problems and methods for solution thereof, time-evolution in the Schrodinger, Heisenberg, and interaction pictures, connections between classical and quantum mechanics, path integrals, quantum mechanics in EM fields, angular momentum, time-independent perturbation theory, density operators, and quantum measurement. 8.321 is the first semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: Hilbert spaces, observables, uncertainty relations, eigenvalue problems and methods for solution thereof, time-evolution in the Schrodinger, Heisenberg, and interaction pictures, connections between classical and quantum mechanics, path integrals, quantum mechanics in EM fields, angular momentum, time-independent perturbation theory, density operators, and quantum measurement.

Subjects

eigenstates | eigenstates | uncertainty relation | uncertainty relation | observables | observables | eigenvalues | eigenvalues | probabilities of the results of measurement | probabilities of the results of measurement | transformation theory | transformation theory | equations of motion | equations of motion | constants of motion | constants of motion | Symmetry in quantum mechanics | Symmetry in quantum mechanics | representations of symmetry groups | representations of symmetry groups | Variational and perturbation approximations | Variational and perturbation approximations | Systems of identical particles and applications | Systems of identical particles and applications | Time-dependent perturbation theory | Time-dependent perturbation theory | Scattering theory: phase shifts | Scattering theory: phase shifts | Born approximation | Born approximation | The quantum theory of radiation | The quantum theory of radiation | Second quantization and many-body theory | Second quantization and many-body theory | Relativistic quantum mechanics of one electron | Relativistic quantum mechanics of one electron | probability | probability | measurement | measurement | motion equations | motion equations | motion constants | motion constants | symmetry groups | symmetry groups | quantum mechanics | quantum mechanics | variational approximations | variational approximations | perturbation approximations | perturbation approximations | identical particles | identical particles | time-dependent perturbation theory | time-dependent perturbation theory | scattering theory | scattering theory | phase shifts | phase shifts | quantum theory of radiation | quantum theory of radiation | second quantization | second quantization | many-body theory | many-body theory | relativistic quantum mechanics | relativistic quantum mechanics | one electron | one electron | Hilbert spaces | Hilbert spaces | time evolution | time evolution | Schrodinger picture | Schrodinger picture | Heisenberg picture | Heisenberg picture | interaction picture | interaction picture | classical mechanics | classical mechanics | path integrals | path integrals | EM fields | EM fields | electromagnetic fields | electromagnetic fields | angular momentum | angular momentum | density operators | density operators | quantum measurement | quantum measurement | quantum statistics | quantum statistics | quantum dynamics | quantum dynamics

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8.322 Quantum Theory II (MIT) 8.322 Quantum Theory II (MIT)

Description

8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation. 8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation.

Subjects

uncertainty relation | uncertainty relation | observables | observables | eigenstates | eigenstates | eigenvalues | eigenvalues | probabilities of the results of measurement | probabilities of the results of measurement | transformation theory | transformation theory | equations of motion | equations of motion | constants of motion | constants of motion | Symmetry in quantum mechanics | Symmetry in quantum mechanics | representations of symmetry groups | representations of symmetry groups | Variational and perturbation approximations | Variational and perturbation approximations | Systems of identical particles and applications | Systems of identical particles and applications | Time-dependent perturbation theory | Time-dependent perturbation theory | Scattering theory: phase shifts | Scattering theory: phase shifts | Born approximation | Born approximation | The quantum theory of radiation | The quantum theory of radiation | Second quantization and many-body theory | Second quantization and many-body theory | Relativistic quantum mechanics of one electron | Relativistic quantum mechanics of one electron | probability | probability | measurement | measurement | motion equations | motion equations | motion constants | motion constants | symmetry groups | symmetry groups | quantum mechanics | quantum mechanics | variational approximations | variational approximations | perturbation approximations | perturbation approximations | identical particles | identical particles | time-dependent perturbation theory | time-dependent perturbation theory | scattering theory | scattering theory | phase shifts | phase shifts | quantum theory of radiation | quantum theory of radiation | second quantization | second quantization | many-body theory | many-body theory | relativistic quantum mechanics | relativistic quantum mechanics | one electron | one electron | quantization | quantization | EM radiation field | EM radiation field | electromagnetic radiation field | electromagnetic radiation field | adiabatic theorem | adiabatic theorem | Berry?s phase | Berry?s phase | many-particle systems | many-particle systems | Dirac equation | Dirac equation | Hilbert spaces | Hilbert spaces | time evolution | time evolution | Schrodinger picture | Schrodinger picture | Heisenberg picture | Heisenberg picture | interaction picture | interaction picture | classical mechanics | classical mechanics | path integrals | path integrals | EM fields | EM fields | electromagnetic fields | electromagnetic fields | angular momentum | angular momentum | density operators | density operators | quantum measurement | quantum measurement | quantum statistics | quantum statistics | quantum dynamics | quantum dynamics

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8.01 Physics I (MIT) 8.01 Physics I (MIT)

Description

Physics I is a first-year physics course which introduces students to classical mechanics. Topics include: space and time; straight-line kinematics; motion in a plane; forces and equilibrium; experimental basis of Newton's laws; particle dynamics; universal gravitation; collisions and conservation laws; work and potential energy; vibrational motion; conservative forces; inertial forces and non-inertial frames; central force motions; rigid bodies and rotational dynamics. Physics I is a first-year physics course which introduces students to classical mechanics. Topics include: space and time; straight-line kinematics; motion in a plane; forces and equilibrium; experimental basis of Newton's laws; particle dynamics; universal gravitation; collisions and conservation laws; work and potential energy; vibrational motion; conservative forces; inertial forces and non-inertial frames; central force motions; rigid bodies and rotational dynamics.

Subjects

classical mechanics | classical mechanics | Space and time | Space and time | straight-line kinematics | straight-line kinematics | motion in a plane | motion in a plane | experimental basis of Newton's laws | experimental basis of Newton's laws | particle dynamics | particle dynamics | universal gravitation | universal gravitation | collisions and conservation laws | collisions and conservation laws | work and potential energy | work and potential energy | vibrational motion | vibrational motion | conservative forces | conservative forces | central force motions | central force motions | inertial forces and non-inertial frames | inertial forces and non-inertial frames | rigid bodies and rotational dynamics | rigid bodies and rotational dynamics | forces and equilibrium | forces and equilibrium | space | space | time | time | space-time | space-time | planar motion | planar motion | forces | forces | equilibrium | equilibrium | Newton?s laws | Newton?s laws | collisions | collisions | conservation laws | conservation laws | work | work | potential energy | potential energy | inertial forces | inertial forces | non-inertial forces | non-inertial forces | rigid bodies | rigid bodies | rotational dynamics | rotational dynamics

License

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1.561 Motion Based Design (MIT) 1.561 Motion Based Design (MIT)

Description

This course presents a rational basis for the preliminary design of motion-sensitive structures. Topics covered include: analytical and numerical techniques for establishing the optimal stiffness distribution, the role of damping in controlling motion, tuned mass dampers, base isolation systems, and active structural control. Examples illustrating the application of the motion-based design paradigm to building structures subjected to seismic excitation are discussed. This course presents a rational basis for the preliminary design of motion-sensitive structures. Topics covered include: analytical and numerical techniques for establishing the optimal stiffness distribution, the role of damping in controlling motion, tuned mass dampers, base isolation systems, and active structural control. Examples illustrating the application of the motion-based design paradigm to building structures subjected to seismic excitation are discussed.

Subjects

preliminary design | preliminary design | motion-sensitive structures | motion-sensitive structures | analytical techniques | analytical techniques | numerical techniques | numerical techniques | optimal stiffness distribution | optimal stiffness distribution | damping | damping | controlling motion | controlling motion | tuned mass dampers | tuned mass dampers | base isolation systems | base isolation systems | active structural control | active structural control | building structures | building structures | wind excitation | wind excitation | seismic excitation | seismic excitation | building design | building design | numerical analysis | numerical analysis | motion control | motion control | motion-based design | motion-based design | safety | safety | serviceability | serviceability | loadings | loadings | optimal stiffness | optimal stiffness | optimal damping | optimal damping | base isolation | base isolation

License

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MAS.630 Affective Computing (MIT)

Description

This course explores computing that relates to, arises from, or deliberately influences emotion. Topics include the interaction of emotion with cognition and perception, the role of emotion in human-computer interaction, the communication of human emotion via face, voice, physiology, and behavior, construction of computers that can recognize and respond appropriately to human emotional expressions, the development of computers that "have" emotion, and other areas of current research interest. Weekly reading, discussion, and a term project are also required.

Subjects

Neuroscience findings | emotion | Emotion and perception | decision-making | and creativity | Emotion and learning | Physiology of emotion | recognition by machines | wearable systems | Measuring frustration/stress for usability feedback | Responding to user emotion to reduce user frustration | Inducing emotion | Robots/agents that "have" emotion

License

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16.07 Dynamics (MIT)

Description

Dynamics starts with fundamentals of Newtonian mechanics. Further topics include kinematics, particle dynamics, motion relative to accelerated reference frames, work and energy, impulse and momentum, systems of particles and rigid body dynamics. Applications to aerospace engineering are discussed, including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics.

Subjects

Curvilinear motion | carteian coordinates | dynamics | equations of motion | intrinsic coordinates | coordinate systems | work | energy | conservative forces | potential energy | linear impulse | mommentum | angular impulse | relative motion | rotating axes | translating axes | Newton's second law | inertial forces | accelerometers | Newtonian relativity | gravitational attraction | 2D rigid body kinematics | conservation laws for systems of particles | 2D rigid body dynamics | pendulums | 3D rigid body kinematics | 3d rigid body dynamics | inertia tensor | gyroscopic motion | torque-free motion | spin stabilization | variable mass systems | rocket equation | central foce motion | Keppler's laws | orbits | orbit transfer | vibration | spring mass systems | forced vibration | isolation | coupled oscillators | normal modes | wave propagation | cartesian coordinates | momentum | central force motion

License

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6.832 Underactuated Robotics (MIT) 6.832 Underactuated Robotics (MIT)

Description

Includes audio/video content: AV lectures. Robots today move far too conservatively, using control systems that attempt to maintain full control authority at all times. Humans and animals move much more aggressively by routinely executing motions which involve a loss of instantaneous control authority. Controlling nonlinear systems without complete control authority requires methods that can reason about and exploit the natural dynamics of our machines. This course discusses nonlinear dynamics and control of underactuated mechanical systems, with an emphasis on machine learning methods. Topics include nonlinear dynamics of passive robots (walkers, swimmers, flyers), motion planning, partial feedback linearization, energy-shaping control, analytical optimal control, reinforcement learning/a Includes audio/video content: AV lectures. Robots today move far too conservatively, using control systems that attempt to maintain full control authority at all times. Humans and animals move much more aggressively by routinely executing motions which involve a loss of instantaneous control authority. Controlling nonlinear systems without complete control authority requires methods that can reason about and exploit the natural dynamics of our machines. This course discusses nonlinear dynamics and control of underactuated mechanical systems, with an emphasis on machine learning methods. Topics include nonlinear dynamics of passive robots (walkers, swimmers, flyers), motion planning, partial feedback linearization, energy-shaping control, analytical optimal control, reinforcement learning/a

Subjects

underactuated robotics | underactuated robotics | actuated systems | actuated systems | nonlinear dynamics | nonlinear dynamics | simple pendulum | simple pendulum | optimal control | optimal control | double integrator | double integrator | quadratic regulator | quadratic regulator | Hamilton-Jacobi-Bellman sufficiency | Hamilton-Jacobi-Bellman sufficiency | minimum time control | minimum time control | acrobot | acrobot | cart-pole | cart-pole | partial feedback linearization | partial feedback linearization | energy shaping | energy shaping | policy search | policy search | open-loop optimal control | open-loop optimal control | trajectory stabilization | trajectory stabilization | iterative linear quadratic regulator | iterative linear quadratic regulator | differential dynamic programming | differential dynamic programming | walking models | walking models | rimless wheel | rimless wheel | compass gait | compass gait | kneed compass gait | kneed compass gait | feedback control | feedback control | running models | running models | spring-loaded inverted pendulum | spring-loaded inverted pendulum | Raibert hoppers | Raibert hoppers | motion planning | motion planning | randomized motion planning | randomized motion planning | rapidly-exploring randomized trees | rapidly-exploring randomized trees | probabilistic road maps | probabilistic road maps | feedback motion planning | feedback motion planning | planning with funnels | planning with funnels | linear quadratic regulator | linear quadratic regulator | function approximation | function approximation | state distribution dynamics | state distribution dynamics | state estimation | state estimation | stochastic optimal control | stochastic optimal control | aircraft | aircraft | swimming | swimming | flapping flight | flapping flight | randomized policy gradient | randomized policy gradient | model-free value methods | model-free value methods | temporarl difference learning | temporarl difference learning | Q-learning | Q-learning | actor-critic methods | actor-critic methods

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8.01L Physics I: Classical Mechanics (MIT) 8.01L Physics I: Classical Mechanics (MIT)

Description

8.01L is an introductory mechanics course, which covers all the topics covered in 8.01T. The class meets throughout the fall, and continues throughout the Independent Activities Period (IAP). 8.01L is an introductory mechanics course, which covers all the topics covered in 8.01T. The class meets throughout the fall, and continues throughout the Independent Activities Period (IAP).

Subjects

Introductory classical mechanics | Introductory classical mechanics | space | space | time | time | straight-line kinematics | straight-line kinematics | motion in a plane | motion in a plane | forces | forces | static equilibrium | static equilibrium | particle dynamics | particle dynamics | conservation of momentum | conservation of momentum | relative inertial frames | relative inertial frames | non-inertial force | non-inertial force | work | work | potential energy | potential energy | conservation of energy | conservation of energy | ideal gas | ideal gas | rigid bodies | rigid bodies | rotational dynamics | rotational dynamics | vibrational motion | vibrational motion | conservation of angular momentum | conservation of angular momentum | central force motions | central force motions | fluid mechanics | fluid mechanics | Technology-Enabled Active Learning | Technology-Enabled Active Learning

License

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8.01T Physics I (MIT) 8.01T Physics I (MIT)

Description

This freshman-level course is an introduction to classical mechanics. The subject is taught using the TEAL (Technology Enabled Active Learning) format which features small group interaction via table-top experiments utilizing laptops for data acquisition and problem solving workshops. Acknowledgements The TEAL project is supported by The Alex and Brit d'Arbeloff Fund for Excellence in MIT Education, MIT iCampus, the Davis Educational Foundation, the National Science Foundation, the Class of 1960 Endowment for Innovation in Education, the Class of 1951 Fund for Excellence in Education, the Class of 1955 Fund for Excellence in Teaching, and the Helena Foundation. This freshman-level course is an introduction to classical mechanics. The subject is taught using the TEAL (Technology Enabled Active Learning) format which features small group interaction via table-top experiments utilizing laptops for data acquisition and problem solving workshops. Acknowledgements The TEAL project is supported by The Alex and Brit d'Arbeloff Fund for Excellence in MIT Education, MIT iCampus, the Davis Educational Foundation, the National Science Foundation, the Class of 1960 Endowment for Innovation in Education, the Class of 1951 Fund for Excellence in Education, the Class of 1955 Fund for Excellence in Teaching, and the Helena Foundation.

Subjects

classical mechanics | classical mechanics | Space and time | Space and time | straight-line kinematics | straight-line kinematics | motion in a plane | motion in a plane | forces and equilibrium | forces and equilibrium | experimental basis of Newton's laws | experimental basis of Newton's laws | particle dynamics | particle dynamics | universal gravitation | universal gravitation | collisions and conservation laws | collisions and conservation laws | work and potential energy | work and potential energy | vibrational motion | vibrational motion | conservative forces | conservative forces | inertial forces and non-inertial frames | inertial forces and non-inertial frames | central force motions | central force motions | rigid bodies | rigid bodies | rotational dynamics | rotational dynamics | rigid bodies and rotational dynamics | rigid bodies and rotational dynamics

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13.49 Maneuvering and Control of Surface and Underwater Vehicles (MIT) 13.49 Maneuvering and Control of Surface and Underwater Vehicles (MIT)

Description

This course is about maneuvering motions of surface and underwater vehicles. Topics covered include: derivation of equations of motion, hydrodynamic coefficients, memory effects, linear and nonlinear forms of the equations of motion, control surfaces modeling and design, engine, propulsor, and transmission systems modeling and simulation during maneuvering. The course also deals with stability of motion, principles of multivariable automatic control, optimal control, Kalman filtering, and loop transfer recovery. We will also explore applications chosen from autopilots for surface vehicles; towing in open seas; and remotely operated vehicles. This course is about maneuvering motions of surface and underwater vehicles. Topics covered include: derivation of equations of motion, hydrodynamic coefficients, memory effects, linear and nonlinear forms of the equations of motion, control surfaces modeling and design, engine, propulsor, and transmission systems modeling and simulation during maneuvering. The course also deals with stability of motion, principles of multivariable automatic control, optimal control, Kalman filtering, and loop transfer recovery. We will also explore applications chosen from autopilots for surface vehicles; towing in open seas; and remotely operated vehicles.

Subjects

Maneuvering | Maneuvering | motion | motion | surface and underwater vehicles | surface and underwater vehicles | Derivation of equations of motion | Derivation of equations of motion | hydrodynamic coefficients | hydrodynamic coefficients | Memory effects | Memory effects | Linear and nonlinear forms | Linear and nonlinear forms | Control surfaces | Control surfaces | modeling and design | modeling and design | Engine | Engine | propulsor | propulsor | transmission systems modeling | transmission systems modeling | simulation | simulation | Stability of motion | Stability of motion | multivariable automatic control | multivariable automatic control | Optimal control | Optimal control | Kalman filtering | Kalman filtering | loop transfer recovery | loop transfer recovery | autopilots for surface vehicles | autopilots for surface vehicles | towing in open seas | towing in open seas | remotely operated vehicles | remotely operated vehicles | 2.154 | 2.154

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Health promotion Health promotion

Description

This is a module framework. It can be viewed online or downloaded as a zip file. As taught in Autumn Semester 2009 The 'Health Promotion' module is one of the core modules taught on the Masters in Public Health which is offered by the Division of Epidemiology and Public Health at The University of Nottingham. Suitable for study at: Masters level Dr Puja R Myles, School of Community Health Sciences - Epidemiology and Public Health Dr. Puja Myles is an Associate Professor of Health Protection and Epidemiology at the University of Nottingham. She trained as a dentist at Panjab University, India and worked as a dentist in India before completing her specialist training in Public Health in the East Midlands. She completed a doctorate in Epidemiology at the University of Nottingham. Sh This is a module framework. It can be viewed online or downloaded as a zip file. As taught in Autumn Semester 2009 The 'Health Promotion' module is one of the core modules taught on the Masters in Public Health which is offered by the Division of Epidemiology and Public Health at The University of Nottingham. Suitable for study at: Masters level Dr Puja R Myles, School of Community Health Sciences - Epidemiology and Public Health Dr. Puja Myles is an Associate Professor of Health Protection and Epidemiology at the University of Nottingham. She trained as a dentist at Panjab University, India and worked as a dentist in India before completing her specialist training in Public Health in the East Midlands. She completed a doctorate in Epidemiology at the University of Nottingham. Sh

Subjects

UNow | UNow | Epidemiology and public health | Epidemiology and public health | Concepts and theories of health promotion | Concepts and theories of health promotion | Approaches to health promotion | Approaches to health promotion | Globalisation and health promotion | Globalisation and health promotion | UKOER | UKOER

License

Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA) Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)

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2.154 Maneuvering and Control of Surface and Underwater Vehicles (13.49) (MIT) 2.154 Maneuvering and Control of Surface and Underwater Vehicles (13.49) (MIT)

Description

This course is about maneuvering motions of surface and underwater vehicles. Topics covered include: derivation of equations of motion, hydrodynamic coefficients, memory effects, linear and nonlinear forms of the equations of motion, control surfaces modeling and design, engine, propulsor, and transmission systems modeling and simulation during maneuvering. The course also deals with stability of motion, principles of multivariable automatic control, optimal control, Kalman filtering, and loop transfer recovery. We will also explore applications chosen from autopilots for surface vehicles; towing in open seas; and remotely operated vehicles. This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.49. In 2005, ocean engineering subjects became part of Co This course is about maneuvering motions of surface and underwater vehicles. Topics covered include: derivation of equations of motion, hydrodynamic coefficients, memory effects, linear and nonlinear forms of the equations of motion, control surfaces modeling and design, engine, propulsor, and transmission systems modeling and simulation during maneuvering. The course also deals with stability of motion, principles of multivariable automatic control, optimal control, Kalman filtering, and loop transfer recovery. We will also explore applications chosen from autopilots for surface vehicles; towing in open seas; and remotely operated vehicles. This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.49. In 2005, ocean engineering subjects became part of Co

Subjects

Maneuvering | Maneuvering | motion | motion | surface and underwater vehicles | surface and underwater vehicles | Derivation of equations of motion | Derivation of equations of motion | hydrodynamic coefficients | hydrodynamic coefficients | Memory effects | Memory effects | Linear and nonlinear forms | Linear and nonlinear forms | Control surfaces | Control surfaces | modeling and design | modeling and design | Engine | Engine | propulsor | propulsor | transmission systems modeling | transmission systems modeling | simulation | simulation | Stability of motion | Stability of motion | multivariable automatic control | multivariable automatic control | Optimal control | Optimal control | Kalman filtering | Kalman filtering | loop transfer recovery | loop transfer recovery | autopilots for surface vehicles | autopilots for surface vehicles | towing in open seas | towing in open seas | remotely operated vehicles | remotely operated vehicles

License

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2.032 Dynamics (MIT) 2.032 Dynamics (MIT)

Description

This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems. This course was originally developed by Professor T. Akylas. This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems. This course was originally developed by Professor T. Akylas.

Subjects

motion | motion | momentum | momentum | work-energy principle | work-energy principle | degrees of freedom | degrees of freedom | Lagrange's equations | Lagrange's equations | D'Alembert's principle | D'Alembert's principle | Hamilton's principle | Hamilton's principle | gyroscope | gyroscope | gyroscopic effect | gyroscopic effect | steady motions | steady motions | nature of small deviations | nature of small deviations | natural modes | natural modes | natural frequencies for continuous and lumped parameter systems | natural frequencies for continuous and lumped parameter systems | mode shapes | mode shapes | forced vibrations | forced vibrations | dynamic stability theory | dynamic stability theory | instability | instability

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6.641 Electromagnetic Fields, Forces, and Motion (MIT) 6.641 Electromagnetic Fields, Forces, and Motion (MIT)

Description

Includes audio/video content: AV faculty introductions. This course examines electric and magnetic quasistatic forms of Maxwell's equations applied to dielectric, conduction, and magnetization boundary value problems. Topics covered include: electromagnetic forces, force densities, and stress tensors, including magnetization and polarization; thermodynamics of electromagnetic fields, equations of motion, and energy conservation; applications to synchronous, induction, and commutator machines; sensors and transducers; microelectromechanical systems; propagation and stability of electromechanical waves; and charge transport phenomena. Acknowledgments The instructor would like to thank Thomas Larsen and Matthew Pegler for transcribing into LaTeX the homework problems, homework solutions, and Includes audio/video content: AV faculty introductions. This course examines electric and magnetic quasistatic forms of Maxwell's equations applied to dielectric, conduction, and magnetization boundary value problems. Topics covered include: electromagnetic forces, force densities, and stress tensors, including magnetization and polarization; thermodynamics of electromagnetic fields, equations of motion, and energy conservation; applications to synchronous, induction, and commutator machines; sensors and transducers; microelectromechanical systems; propagation and stability of electromechanical waves; and charge transport phenomena. Acknowledgments The instructor would like to thank Thomas Larsen and Matthew Pegler for transcribing into LaTeX the homework problems, homework solutions, and

Subjects

electromagnetic | electromagnetic | electromagnetic field | electromagnetic field | forces | forces | motion | motion | electric | electric | magnetic | magnetic | quasistatic | quasistatic | Maxwell's equations | Maxwell's equations | dielectric | dielectric | conduction | conduction | magnetization | magnetization | boundary value problems | boundary value problems | force densities | force densities | stress tensors | stress tensors | polarization | polarization | thermodynamics | thermodynamics | equations of motion | equations of motion | energy conservation | energy conservation | synchronous | synchronous | induction | induction | commutator machines | commutator machines | sensors | sensors | transducers | transducers | microelectromechanical systems | microelectromechanical systems | electromechanical waves | electromechanical waves | charge transport phenomena | charge transport phenomena

License

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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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12.333 Atmospheric and Ocean Circulations (MIT) 12.333 Atmospheric and Ocean Circulations (MIT)

Description

In this course, we will look at many important aspects of the circulation of the atmosphere and ocean, from length scales of meters to thousands of km and time scales ranging from seconds to years. We will assume familiarity with concepts covered in course 12.003 (Physics of the Fluid Earth). In the early stages of the present course, we will make somewhat greater use of math than did 12.003, but the math we will use is no more than that encountered in elementary electromagnetic field theory, for example. The focus of the course is on the physics of the phenomena which we will discuss. In this course, we will look at many important aspects of the circulation of the atmosphere and ocean, from length scales of meters to thousands of km and time scales ranging from seconds to years. We will assume familiarity with concepts covered in course 12.003 (Physics of the Fluid Earth). In the early stages of the present course, we will make somewhat greater use of math than did 12.003, but the math we will use is no more than that encountered in elementary electromagnetic field theory, for example. The focus of the course is on the physics of the phenomena which we will discuss.

Subjects

atmospheric and oceanic phenomena | atmospheric and oceanic phenomena | observations | observations | theoretical interpretations | theoretical interpretations | monsoons | monsoons | El Ni?o | El Ni?o | planetary waves | planetary waves | atmospheric synoptic eddies and fronts | atmospheric synoptic eddies and fronts | gulf stream rings | gulf stream rings | hurricanes | hurricanes | surface and internal gravity waves | surface and internal gravity waves | tides | tides | shallow water gravity waves | shallow water gravity waves | deep water gravity waves | deep water gravity waves | internal gravity waves | internal gravity waves | large-scale motions | large-scale motions | rotating earth | rotating earth | Rossby waves | Rossby waves | planetary scale motions | planetary scale motions | baroclinic instability | baroclinic instability | midlatitude storms | midlatitude storms | equatorial atmosphere | equatorial atmosphere | equatorial ocean | equatorial ocean | southern oscillation | southern oscillation | tropical cyclones | tropical cyclones | typhoons | typhoons

License

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16.61 Aerospace Dynamics (MIT) 16.61 Aerospace Dynamics (MIT)

Description

This undergraduate course builds upon the dynamics content of Unified Engineering, a sophomore course taught in the Department of Aeronautics and Astronautics at MIT. Vector kinematics are applied to translation and rotation of rigid bodies. Newtonian and Lagrangian methods are used to formulate and solve equations of motion. Additional numerical methods are presented for solving rigid body dynamics problems. Examples and problems describe applications to aircraft flight dynamics and spacecraft attitude dynamics. This undergraduate course builds upon the dynamics content of Unified Engineering, a sophomore course taught in the Department of Aeronautics and Astronautics at MIT. Vector kinematics are applied to translation and rotation of rigid bodies. Newtonian and Lagrangian methods are used to formulate and solve equations of motion. Additional numerical methods are presented for solving rigid body dynamics problems. Examples and problems describe applications to aircraft flight dynamics and spacecraft attitude dynamics.

Subjects

aerospace dynamics | aerospace dynamics | Newtonian dynamics | Newtonian dynamics | 3D motion | 3D motion | gyroscopic | gyroscopic | rotational | rotational | dynamics | dynamics | coordinate transformations | coordinate transformations | Lagrangian | Lagrangian | motion | motion | aircraft | aircraft | flight | flight | stability | stability | spacecraft | spacecraft

License

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12.003 Atmosphere, Ocean and Climate Dynamics (MIT) 12.003 Atmosphere, Ocean and Climate Dynamics (MIT)

Description

Includes audio/video content: AV special element video. This undergraduate class is designed to introduce students to the physics that govern the circulation of the ocean and atmosphere. The focus of the course is on the processes that control the climate of the planet.AcknowledgmentsProf. Ferrari wishes to acknowledge that this course was originally designed and taught by Prof. John Marshall. Includes audio/video content: AV special element video. This undergraduate class is designed to introduce students to the physics that govern the circulation of the ocean and atmosphere. The focus of the course is on the processes that control the climate of the planet.AcknowledgmentsProf. Ferrari wishes to acknowledge that this course was originally designed and taught by Prof. John Marshall.

Subjects

1. Characteristics of the atmosphere | 1. Characteristics of the atmosphere | Characteristics of the atmosphere | Characteristics of the atmosphere | global energy balance | global energy balance | greenhouse effect | greenhouse effect | greenhouse gases | greenhouse gases | Atmospheric layers | Atmospheric layers | pressure and density | pressure and density | Convection | Convection | adiabatic lapse rate | adiabatic lapse rate | Humidity | Humidity | Convective clouds | Convective clouds | Temperature | Temperature | Pressure and geopotential height | Pressure and geopotential height | Winds | Winds | Fluids in motion | Fluids in motion | Hydrostatic balance | Hydrostatic balance | Incompressible flow | Incompressible flow | compressible flow | compressible flow | radial inflow | radial inflow | Geostrophic motion | Geostrophic motion | Taylor-Proudman Theorem | Taylor-Proudman Theorem | Ekman layer | Ekman layer | Coriolis force | Coriolis force | Rossby number | Rossby number | Hadley circulation | Hadley circulation | ocean | ocean | seawater | seawater | salinity | salinity | geostrophic and hydrostatic balance | geostrophic and hydrostatic balance | inhomogeneity | inhomogeneity | Abyssal circulation | Abyssal circulation | thermohaline circulation | thermohaline circulation

License

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22.611J Introduction to Plasma Physics I (MIT) 22.611J Introduction to Plasma Physics I (MIT)

Description

In this course, students will learn about plasmas, the fourth state of matter. The plasma state dominates the visible universe, and is of increasing economic importance. Plasmas behave in lots of interesting and sometimes unexpected ways. The course is intended only as a first plasma physics course, but includes critical concepts needed for a foundation for further study. A solid undergraduate background in classical physics, electromagnetic theory including Maxwell's equations, and mathematical familiarity with partial differential equations and complex analysis are prerequisites. The course introduces plasma phenomena relevant to energy generation by controlled thermonuclear fusion and to astrophysics, coulomb collisions and transport processes, motion of charged particles in magne In this course, students will learn about plasmas, the fourth state of matter. The plasma state dominates the visible universe, and is of increasing economic importance. Plasmas behave in lots of interesting and sometimes unexpected ways. The course is intended only as a first plasma physics course, but includes critical concepts needed for a foundation for further study. A solid undergraduate background in classical physics, electromagnetic theory including Maxwell's equations, and mathematical familiarity with partial differential equations and complex analysis are prerequisites. The course introduces plasma phenomena relevant to energy generation by controlled thermonuclear fusion and to astrophysics, coulomb collisions and transport processes, motion of charged particles in magne

Subjects

plasma phenomena | plasma phenomena | energy generation | energy generation | controlled thermonuclear fusion | controlled thermonuclear fusion | astrophysics | astrophysics | Coulomb collisions | Coulomb collisions | transport processes | transport processes | charged particles | charged particles | magnetic fields | magnetic fields | plasma confinement schemes | plasma confinement schemes | MHD models | MHD models | simple equilibrium | simple equilibrium | stability analysis | stability analysis | Two-fluid hydrodynamic plasma models | Two-fluid hydrodynamic plasma models | wave propagation | wave propagation | kinetic theory | kinetic theory | Vlasov plasma model | Vlasov plasma model | electron plasma waves | electron plasma waves | Landau damping | Landau damping | ion-acoustic waves | ion-acoustic waves | streaming instabilities | streaming instabilities | fourth state of matter | fourth state of matter | plasma state | plasma state | visible universe | visible universe | economics | economics | plasmas | plasmas | motion of charged particles | motion of charged particles | two-fluid hydrodynamic plasma models | two-fluid hydrodynamic plasma models | Debye Shielding | Debye Shielding | collective effects | collective effects | charged particle motion | charged particle motion | EM Fields | EM Fields | cross-sections | cross-sections | relaxation | relaxation | fluid plasma descriptions | fluid plasma descriptions | MHD equilibrium | MHD equilibrium | MHD dynamics | MHD dynamics | dynamics in two-fluid plasmas | dynamics in two-fluid plasmas | cold plasma waves | cold plasma waves | magnetic field | magnetic field | microscopic to fluid plasma descriptions | microscopic to fluid plasma descriptions | Vlasov-Maxwell kinetic theory.linear Landau growth | Vlasov-Maxwell kinetic theory.linear Landau growth | kinetic description of waves | kinetic description of waves | instabilities | instabilities | Vlasov-Maxwell kinetic theory | Vlasov-Maxwell kinetic theory | linear Landau growth | linear Landau growth | 22.611 | 22.611 | 6.651 | 6.651 | 8.613 | 8.613

License

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15.070J Advanced Stochastic Processes (MIT) 15.070J Advanced Stochastic Processes (MIT)

Description

This class covers the analysis and modeling of stochastic processes. Topics include measure theoretic probability, martingales, filtration, and stopping theorems, elements of large deviations theory, Brownian motion and reflected Brownian motion, stochastic integration and Ito calculus and functional limit theorems. In addition, the class will go over some applications to finance theory, insurance, queueing and inventory models. This class covers the analysis and modeling of stochastic processes. Topics include measure theoretic probability, martingales, filtration, and stopping theorems, elements of large deviations theory, Brownian motion and reflected Brownian motion, stochastic integration and Ito calculus and functional limit theorems. In addition, the class will go over some applications to finance theory, insurance, queueing and inventory models.

Subjects

analysis | analysis | modeling | modeling | stochastic processes | stochastic processes | theoretic probability | theoretic probability | martingales | martingales | filtration | filtration | stopping theorems | stopping theorems | large deviations theory | large deviations theory | Brownian motion | Brownian motion | reflected Brownian motion | reflected Brownian motion | stochastic integration | stochastic integration | Ito calculus | Ito calculus | functional limit theorems | functional limit theorems | applications | applications | finance theory | finance theory | insurance | insurance | queueing | queueing | inventory models | inventory models

License

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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

License

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Introduction to dynamics : document transcript

Description

This open educational resource was released through the Higher Education Academy Engineering Subject Centre Open Engineering Resources Pilot project. The project was funded by HEFCE and the JISC/HE Academy UKOER programme.

Subjects

ukoer | engscoer | cc-by | leicester college | leicester college tech | leicestercollegeoer | engineering department | education | higher education | learning | nqf l4 | dynamics | harmonic motion | rotation | edexcel hn unit | edexcel | energy | inertia | linear motion | equations | potential | motion | engineering | kinetic | angular motion | systems | engineering science | science | introduction to dynamics | Engineering | H000

License

Attribution 2.0 UK: England & Wales Attribution 2.0 UK: England & Wales http://creativecommons.org/licenses/by/2.0/uk/ http://creativecommons.org/licenses/by/2.0/uk/

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8.321 Quantum Theory I (MIT)

Description

8.321 is the first semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: Hilbert spaces, observables, uncertainty relations, eigenvalue problems and methods for solution thereof, time-evolution in the Schrodinger, Heisenberg, and interaction pictures, connections between classical and quantum mechanics, path integrals, quantum mechanics in EM fields, angular momentum, time-independent perturbation theory, density operators, and quantum measurement.

Subjects

eigenstates | uncertainty relation | observables | eigenvalues | probabilities of the results of measurement | transformation theory | equations of motion | constants of motion | Symmetry in quantum mechanics | representations of symmetry groups | Variational and perturbation approximations | Systems of identical particles and applications | Time-dependent perturbation theory | Scattering theory: phase shifts | Born approximation | The quantum theory of radiation | Second quantization and many-body theory | Relativistic quantum mechanics of one electron | probability | measurement | motion equations | motion constants | symmetry groups | quantum mechanics | variational approximations | perturbation approximations | identical particles | time-dependent perturbation theory | scattering theory | phase shifts | quantum theory of radiation | second quantization | many-body theory | relativistic quantum mechanics | one electron | Hilbert spaces | time evolution | Schrodinger picture | Heisenberg picture | interaction picture | classical mechanics | path integrals | EM fields | electromagnetic fields | angular momentum | density operators | quantum measurement | quantum statistics | quantum dynamics

License

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