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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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8.01X Physics I: Classical Mechanics with an Experimental Focus (MIT) 8.01X Physics I: Classical Mechanics with an Experimental Focus (MIT)

Description

Physics I is a first-year physics course which introduces students to classical mechanics. This course has a hands-on focus, and approaches mechanics through take-home experiments. Topics include: kinematics, Newton's laws of motion, universal gravitation, statics, conservation laws, energy, work, momentum, and special relativity. Physics I is a first-year physics course which introduces students to classical mechanics. This course has a hands-on focus, and approaches mechanics through take-home experiments. Topics include: kinematics, Newton's laws of motion, universal gravitation, statics, conservation laws, energy, work, momentum, and special relativity.

Subjects

Newton | Newton | mechanics | mechanics | Newtonian mechanics | Newtonian mechanics | experiments | experiments | 8.01 | 8.01

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8.282J Introduction to Astronomy (MIT) 8.282J Introduction to Astronomy (MIT)

Description

Introduction to Astronomy provides a quantitative introduction to the physics of the solar system, stars, the interstellar medium, the galaxy, and the universe, as determined from a variety of astronomical observations and models. Introduction to Astronomy provides a quantitative introduction to the physics of the solar system, stars, the interstellar medium, the galaxy, and the universe, as determined from a variety of astronomical observations and models.

Subjects

solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system | solar system | stars | stars | interstellar medium | interstellar medium | the Galaxy | the Galaxy | the Universe | the Universe | planets | planets | planet formation | planet formation | star formation | star formation | stellar evolution | stellar evolution | supernovae | supernovae | compact objects | compact objects | white dwarfs | white dwarfs | neutron stars | neutron stars | black holes | black holes | plusars | binary X-ray sources | plusars | binary X-ray sources | star clusters | star clusters | globular and open clusters | globular and open clusters | interstellar medium | gas | dust | magnetic fields | cosmic rays | interstellar medium | gas | dust | magnetic fields | cosmic rays | distance ladder | distance ladder | galaxies | normal and active galaxies | jets | galaxies | normal and active galaxies | jets | gravitational lensing | gravitational lensing | large scaling structure | large scaling structure | Newtonian cosmology | dynamical expansion and thermal history of the Universe | Newtonian cosmology | dynamical expansion and thermal history of the Universe | cosmic microwave background radiation | cosmic microwave background radiation | big-bang nucleosynthesis | big-bang nucleosynthesis | pulsars | pulsars | binary X-ray sources | binary X-ray sources | gas | gas | dust | dust | magnetic fields | magnetic fields | cosmic rays | cosmic rays | galaxy | galaxy | universe | universe | astrophysics | astrophysics | Sun | Sun | supernova | supernova | globular clusters | globular clusters | open clusters | open clusters | jets | jets | Newtonian cosmology | Newtonian cosmology | dynamical expansion | dynamical expansion | thermal history | thermal history | normal galaxies | normal galaxies | active galaxies | active galaxies | Greek astronomy | Greek astronomy | physics | physics | Copernicus | Copernicus | Tycho | Tycho | Kepler | Kepler | Galileo | Galileo | classical mechanics | classical mechanics | circular orbits | circular orbits | full kepler orbit problem | full kepler orbit problem | electromagnetic radiation | electromagnetic radiation | matter | matter | telescopes | telescopes | detectors | detectors | 8.282 | 8.282 | 12.402 | 12.402 | plusars | plusars | galaxies | galaxies | normal and active galaxies | normal and active galaxies | dynamical expansion and thermal history of the Universe | dynamical expansion and thermal history of the Universe

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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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3.044 Materials Processing (MIT) 3.044 Materials Processing (MIT)

Description

This course is focused on physical understanding of materials processing, and the scaling laws that govern process speed, volume, and material quality. In particular, this course will cover the transport of heat and matter as these topics apply to materials processing. This course is focused on physical understanding of materials processing, and the scaling laws that govern process speed, volume, and material quality. In particular, this course will cover the transport of heat and matter as these topics apply to materials processing.

Subjects

materials processing | materials processing | heat conduction | heat conduction | heat transfer | heat transfer | Biot number | Biot number | glass fibers | glass fibers | thermal spray | thermal spray | 2D analysis | 2D analysis | friction welding | friction welding | radiation | radiation | black bodies | black bodies | emessivity | emessivity | solidification | solidification | sand casting | sand casting | lost foam | lost foam | molds | molds | binary solidification | binary solidification | microstructures | microstructures | fluid flow | fluid flow | glass production | glass production | Pilkington glass | Pilkington glass | drag force | drag force | Newtonian | Newtonian | non-Newtonian | non-Newtonian | blow molding | blow molding | compressive forming | compressive forming | powder | powder | sintering | sintering | slurry | slurry | and colloid processing | and colloid processing | steel making | steel making | electronics manufacturing | electronics manufacturing

License

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21H.141 Renaissance To Revolution: Europe, 1300-1800 (MIT) 21H.141 Renaissance To Revolution: Europe, 1300-1800 (MIT)

Description

This course provides an introduction to major political, social, cultural and intellectual changes in Europe from the beginnings of the Renaissance in Italy around 1300 to the outbreak of the French Revolution at the end of the 1700s. It focuses on the porous boundaries between categories of theology, magic and science, as well as print. It examines how developments in these areas altered European political institutions, social structures, and cultural practices. It also studies men and women, nobles and commoners, as well as Europeans and some non-Europeans with whom they came into contact. This course provides an introduction to major political, social, cultural and intellectual changes in Europe from the beginnings of the Renaissance in Italy around 1300 to the outbreak of the French Revolution at the end of the 1700s. It focuses on the porous boundaries between categories of theology, magic and science, as well as print. It examines how developments in these areas altered European political institutions, social structures, and cultural practices. It also studies men and women, nobles and commoners, as well as Europeans and some non-Europeans with whom they came into contact.

Subjects

renaissance | renaissance | revolution | revolution | Europe | Europe | Italy | Italy | French Revolution | French Revolution | theology | theology | magic | magic | science | science | England | England | censorship | censorship | Rene Descartes | Rene Descartes | Italian humanism | Italian humanism | Copernicus | Copernicus | Constantine | Constantine | printing | printing | rare books | rare books | paper-making | paper-making | Erasmus of Rotterdam | Erasmus of Rotterdam | The Paraclesis | The Paraclesis | free will | free will | Luther | Luther | German Peasants War | German Peasants War | The Cheese and the Worms | The Cheese and the Worms | Protestant revolution | Protestant revolution | Catholic renewal | Catholic renewal | radical reform movements | radical reform movements | religion | religion | Menocchio | Menocchio | skepticism | skepticism | the occult | the occult | Michel de Montaigne | Michel de Montaigne | astrology | astrology | Cardano | Cardano | Cartesian Method | Cartesian Method | Discourse on Method | Discourse on Method | English Civil War | English Civil War | interregnum | Putney debates | interregnum | Putney debates | Wallington's World | Wallington's World | The Mad Hatter | The Mad Hatter | Isaac Newton | Isaac Newton | Newtonianism | Newtonianism | Principia | Principia | The Encyclopedie | The Encyclopedie | Diderot | Diderot | d'Alembert | d'Alembert | metric system | metric system

License

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Física (Preparación para la Universidad) Física (Preparación para la Universidad)

Description

Esta asignatura está pensada para alumnos que estudian su primer año en la Universidad o que están a punto de hacerlo y quieren prepararse desde su último curso en la Enseñanza no Universitaria. En la asignatura se realiza una revisión de los conceptos físicos básicos para la preparación de los estudios en cualquiera de las titulaciones del ámbito de la Ingeniería y de la Arquitectura. Está estructurada en seis bloques temáticos: Mecánica, Oscilaciones y ondas, Termodinámica, Electromagnetismo, Optica y Física Moderna, además de un primer Bloque que trata sobre algunas cuestiones básicas de la Física, como son los sistemas de unidades, la incertidumbre de una medida y los vectores. Cada Bloque temático está estructurado en Unidades independientes, de modo que cada e Esta asignatura está pensada para alumnos que estudian su primer año en la Universidad o que están a punto de hacerlo y quieren prepararse desde su último curso en la Enseñanza no Universitaria. En la asignatura se realiza una revisión de los conceptos físicos básicos para la preparación de los estudios en cualquiera de las titulaciones del ámbito de la Ingeniería y de la Arquitectura. Está estructurada en seis bloques temáticos: Mecánica, Oscilaciones y ondas, Termodinámica, Electromagnetismo, Optica y Física Moderna, además de un primer Bloque que trata sobre algunas cuestiones básicas de la Física, como son los sistemas de unidades, la incertidumbre de una medida y los vectores. Cada Bloque temático está estructurado en Unidades independientes, de modo que cada e

Subjects

Ondas armónicas | Ondas armónicas | Interacción gravitatoria | Interacción gravitatoria | Sistemas de unidades | Sistemas de unidades | Termodinámica | Termodinámica | Temperatura y gases ideales | Temperatura y gases ideales | Oscilaciones | Oscilaciones | Núcleo atómico | Núcleo atómico | Ondas sonoras | Ondas sonoras | Fenómenos ondulatorios | Fenómenos ondulatorios | Cinemática | Cinemática | Naturaleza de la luz | Naturaleza de la luz | Aplicaciones de las leyes de Newton | Aplicaciones de las leyes de Newton | Resolución de problemas de física | Resolución de problemas de física | Introducción a la Física cuántica | Introducción a la Física cuántica | Movimiento circular | Movimiento circular | Física Moderna | Física Moderna | Corriente eléctrica | Corriente eléctrica | Campo eléctrico | Campo eléctrico | Trabajo y energía | Trabajo y energía | Campo magnético | Campo magnético | Teoría dde la relatividad | Teoría dde la relatividad | Inducción electromagnética | Inducción electromagnética | Medida e incertidumbre | Medida e incertidumbre | Ondas electromagnéticas | Ondas electromagnéticas | Optica | Optica | Leyes de Newton | Leyes de Newton | Movimiento parabólico | Movimiento parabólico | Optica geométrica | Optica geométrica | Oscilaciones armónicas | Oscilaciones armónicas | Vectores | Vectores | Trabajo | calor y principios de la Termodinámica | Trabajo | calor y principios de la Termodinámica | Física aplicada | Física aplicada | Mecánica | Mecánica

License

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8.282J Introduction to Astronomy (MIT) 8.282J Introduction to Astronomy (MIT)

Description

Introduction to Astronomy provides a quantitative introduction to physics of the solar system, stars, interstellar medium, the galaxy, and universe, as determined from a variety of astronomical observations and models.Topics include: planets, planet formation; stars, the Sun, "normal" stars, star formation; stellar evolution, supernovae, compact objects (white dwarfs, neutron stars, and black holes), plusars, binary X-ray sources; star clusters, globular and open clusters; interstellar medium, gas, dust, magnetic fields, cosmic rays; distance ladder; galaxies, normal and active galaxies, jets; gravitational lensing; large scaling structure; Newtonian cosmology, dynamical expansion and thermal history of the Universe; cosmic microwave background radiation; big-bang nucleosynthesis Introduction to Astronomy provides a quantitative introduction to physics of the solar system, stars, interstellar medium, the galaxy, and universe, as determined from a variety of astronomical observations and models.Topics include: planets, planet formation; stars, the Sun, "normal" stars, star formation; stellar evolution, supernovae, compact objects (white dwarfs, neutron stars, and black holes), plusars, binary X-ray sources; star clusters, globular and open clusters; interstellar medium, gas, dust, magnetic fields, cosmic rays; distance ladder; galaxies, normal and active galaxies, jets; gravitational lensing; large scaling structure; Newtonian cosmology, dynamical expansion and thermal history of the Universe; cosmic microwave background radiation; big-bang nucleosynthesis

Subjects

solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system | solar system | stars | stars | interstellar medium | interstellar medium | the Galaxy | the Galaxy | the Universe | the Universe | planets | planets | planet formation | planet formation | star formation | star formation | stellar evolution | stellar evolution | supernovae | supernovae | compact objects | compact objects | white dwarfs | white dwarfs | neutron stars | neutron stars | black holes | black holes | plusars | binary X-ray sources | plusars | binary X-ray sources | star clusters | star clusters | globular and open clusters | globular and open clusters | interstellar medium | gas | dust | magnetic fields | cosmic rays | interstellar medium | gas | dust | magnetic fields | cosmic rays | distance ladder | distance ladder | galaxies | normal and active galaxies | jets | galaxies | normal and active galaxies | jets | gravitational lensing | gravitational lensing | large scaling structure | large scaling structure | Newtonian cosmology | dynamical expansion and thermal history of the Universe | Newtonian cosmology | dynamical expansion and thermal history of the Universe | cosmic microwave background radiation | cosmic microwave background radiation | big-bang nucleosynthesis | big-bang nucleosynthesis | pulsars | pulsars | binary X-ray sources | binary X-ray sources | gas | gas | dust | dust | magnetic fields | magnetic fields | cosmic rays | cosmic rays | galaxy | galaxy | universe | universe | astrophysics | astrophysics | Sun | Sun | supernova | supernova | globular clusters | globular clusters | open clusters | open clusters | jets | jets | Newtonian cosmology | Newtonian cosmology | dynamical expansion | dynamical expansion | thermal history | thermal history | normal galaxies | normal galaxies | active galaxies | active galaxies | Greek astronomy | Greek astronomy | physics | physics | Copernicus | Copernicus | Tycho | Tycho | Kepler | Kepler | Galileo | Galileo | classical mechanics | classical mechanics | circular orbits | circular orbits | full kepler orbit problem | full kepler orbit problem | electromagnetic radiation | electromagnetic radiation | matter | matter | telescopes | telescopes | detectors | detectors | 8.282 | 8.282 | 12.402 | 12.402

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6.252J Nonlinear Programming (MIT) 6.252J Nonlinear Programming (MIT)

Description

6.252J is a course in the department's "Communication, Control, and Signal Processing" concentration. This course provides a unified analytical and computational approach to nonlinear optimization problems. The topics covered in this course include: unconstrained optimization methods, constrained optimization methods, convex analysis, Lagrangian relaxation, nondifferentiable optimization, and applications in integer programming. There is also a comprehensive treatment of optimality conditions, Lagrange multiplier theory, and duality theory. Throughout the course, applications are drawn from control, communications, power systems, and resource allocation problems. 6.252J is a course in the department's "Communication, Control, and Signal Processing" concentration. This course provides a unified analytical and computational approach to nonlinear optimization problems. The topics covered in this course include: unconstrained optimization methods, constrained optimization methods, convex analysis, Lagrangian relaxation, nondifferentiable optimization, and applications in integer programming. There is also a comprehensive treatment of optimality conditions, Lagrange multiplier theory, and duality theory. Throughout the course, applications are drawn from control, communications, power systems, and resource allocation problems.

Subjects

nonlinear programming | nonlinear programming | non-linear programming | non-linear programming | nonlinear optimization | nonlinear optimization | unconstrained optimization | unconstrained optimization | gradient | gradient | conjugate direction | conjugate direction | Newton | Newton | quasi-Newton methods | quasi-Newton methods | constrained optimization | constrained optimization | feasible directions | feasible directions | projection | projection | interior point | interior point | Lagrange multiplier | Lagrange multiplier | convex analysis | convex analysis | Lagrangian relaxation | Lagrangian relaxation | nondifferentiable optimization | nondifferentiable optimization | integer programming | integer programming | optimality conditions | optimality conditions | Lagrange multiplier theory | Lagrange multiplier theory | duality theory | duality theory | control | control | communications | communications | power systems | power systems | resource allocation | resource allocation | 6.252 | 6.252 | 15.084 | 15.084

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SP.341 History and Philosophy of Mechanics: Newton's Principia Mathematica (MIT) SP.341 History and Philosophy of Mechanics: Newton's Principia Mathematica (MIT)

Description

This course focuses on an in-depth reading of Principia Mathematica Philosophiae Naturalis by Isaac Newton, as well as several related commentaries and historical philosophical texts. This course focuses on an in-depth reading of Principia Mathematica Philosophiae Naturalis by Isaac Newton, as well as several related commentaries and historical philosophical texts.

Subjects

intellectual history | intellectual history | history of mathematics | history of mathematics | history of science and technology | history of science and technology | Isaac Newton | Isaac Newton | calculus | calculus | laws of motion | laws of motion

License

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15.093 Optimization Methods (SMA 5213) (MIT) 15.093 Optimization Methods (SMA 5213) (MIT)

Description

This course introduces the principal algorithms for linear, network, discrete, nonlinear, dynamic optimization and optimal control. Emphasis is on methodology and the underlying mathematical structures. Topics include the simplex method, network flow methods, branch and bound and cutting plane methods for discrete optimization, optimality conditions for nonlinear optimization, interior point methods for convex optimization, Newton's method, heuristic methods, and dynamic programming and optimal control methods. This course was also taught as part of the Singapore-MIT Alliance (SMA) programme as course number SMA 5213 (Optimisation Methods). This course introduces the principal algorithms for linear, network, discrete, nonlinear, dynamic optimization and optimal control. Emphasis is on methodology and the underlying mathematical structures. Topics include the simplex method, network flow methods, branch and bound and cutting plane methods for discrete optimization, optimality conditions for nonlinear optimization, interior point methods for convex optimization, Newton's method, heuristic methods, and dynamic programming and optimal control methods. This course was also taught as part of the Singapore-MIT Alliance (SMA) programme as course number SMA 5213 (Optimisation Methods).

Subjects

principal algorithms | principal algorithms | linear | linear | network | network | discrete | discrete | nonlinear | nonlinear | dynamic optimization | dynamic optimization | optimal control | optimal control | methodology and the underlying mathematical structures | methodology and the underlying mathematical structures | simplex method | simplex method | network flow methods | network flow methods | branch and bound and cutting plane methods for discrete optimization | branch and bound and cutting plane methods for discrete optimization | optimality conditions for nonlinear optimization | optimality conditions for nonlinear optimization | interior point methods for convex optimization | interior point methods for convex optimization | Newton's method | Newton's method | heuristic methods | heuristic methods | dynamic programming | dynamic programming | optimal control methods | optimal control methods | SMA 5213 | SMA 5213

License

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16.13 Aerodynamics of Viscous Fluids (MIT) 16.13 Aerodynamics of Viscous Fluids (MIT)

Description

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

Subjects

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

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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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Mecánica para Ingenieros: Cinemática Mecánica para Ingenieros: Cinemática

Description

La asignatura Mecánica para Ingenieros: Cinemática, corresponde al módulo de cinemática de la Mecánica I, asignatura troncal de seis créditos que se imparte en el segundo cuatrimestre del primer curso de las titulaciones de Ingeniero Técnico Aeronáutico en Aeronaves, en Aeromotores y en Equipos y Materiales Aeroespaciales, en la Universidad Politécnica de Madrid (UPM). En este primer módulo, tras una breve presentación de la Mecánica Racional dentro del contexto científico y académico, se desarrolla ampliamente la cinemática de la partícula material y del sólido rígido; es decir, se estudia su movimiento sin tener en cuenta las causas que lo producen. Aunque su finalidad principal es la de servir de base para otras asignaturas, se ha tratado de darle una orientación fun La asignatura Mecánica para Ingenieros: Cinemática, corresponde al módulo de cinemática de la Mecánica I, asignatura troncal de seis créditos que se imparte en el segundo cuatrimestre del primer curso de las titulaciones de Ingeniero Técnico Aeronáutico en Aeronaves, en Aeromotores y en Equipos y Materiales Aeroespaciales, en la Universidad Politécnica de Madrid (UPM). En este primer módulo, tras una breve presentación de la Mecánica Racional dentro del contexto científico y académico, se desarrolla ampliamente la cinemática de la partícula material y del sólido rígido; es decir, se estudia su movimiento sin tener en cuenta las causas que lo producen. Aunque su finalidad principal es la de servir de base para otras asignaturas, se ha tratado de darle una orientación fun

Subjects

Ingeniería Mecánica | Ingeniería Mecánica | Estática | Estática | Dinámica | Dinámica | Cinemática | Cinemática | Mecánica Newtoniana | Mecánica Newtoniana | Geometría de masas | Geometría de masas

License

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

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8.012 Physics I: Classical Mechanics (MIT) 8.012 Physics I: Classical Mechanics (MIT)

Description

This class is an introduction to classical mechanics for students who are comfortable with calculus. The main topics are: Vectors, Kinematics, Forces, Motion, Momentum, Energy, Angular Motion, Angular Momentum, Gravity, Planetary Motion, Moving Frames, and the Motion of Rigid Bodies. This class is an introduction to classical mechanics for students who are comfortable with calculus. The main topics are: Vectors, Kinematics, Forces, Motion, Momentum, Energy, Angular Motion, Angular Momentum, Gravity, Planetary Motion, Moving Frames, and the Motion of Rigid Bodies.

Subjects

elementary mechanics | elementary mechanics | Newton's laws | Newton's laws | momentum | momentum | energy | energy | angular momentum | angular momentum | rigid body motion | rigid body motion | non-inertial | non-inertial

License

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18.655 Mathematical Statistics (MIT) 18.655 Mathematical Statistics (MIT)

Description

This course provides students with decision theory, estimation, confidence intervals, and hypothesis testing. It introduces large sample theory, asymptotic efficiency of estimates, exponential families, and sequential analysis. This course provides students with decision theory, estimation, confidence intervals, and hypothesis testing. It introduces large sample theory, asymptotic efficiency of estimates, exponential families, and sequential analysis.

Subjects

Least Squares | Least Squares | Root-finding | Root-finding | Coordinate Ascent | Coordinate Ascent | Newton-Raphson | Newton-Raphson | Bayes Procedures | Bayes Procedures | Robustness Criteria | Robustness Criteria | Neyman-Pearson Lemma | Neyman-Pearson Lemma | Confidence Bounds | Confidence Bounds | Confidence Intervals | Confidence Intervals | Asymptotic Normality | Asymptotic Normality | Gaussian Linear Models | Gaussian Linear Models

License

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8.033 Relativity (MIT) 8.033 Relativity (MIT)

Description

This course, which concentrates on special relativity, is normally taken by physics majors in their sophomore year. Topics include Einstein's postulates, the Lorentz transformation, relativistic effects and paradoxes, and applications involving electromagnetism and particle physics. This course also provides a brief introduction to some concepts of general relativity, including the principle of equivalence, the Schwartzschild metric and black holes, and the FRW metric and cosmology. This course, which concentrates on special relativity, is normally taken by physics majors in their sophomore year. Topics include Einstein's postulates, the Lorentz transformation, relativistic effects and paradoxes, and applications involving electromagnetism and particle physics. This course also provides a brief introduction to some concepts of general relativity, including the principle of equivalence, the Schwartzschild metric and black holes, and the FRW metric and cosmology.

Subjects

relativity | relativity | special relativity | special relativity | Einstein's postulates | Einstein's postulates | simultaneity | simultaneity | time dilation | time dilation | length contraction | length contraction | clock synchronization | clock synchronization | Lorentz transformation | Lorentz transformation | relativistic effects | relativistic effects | Minkowski diagrams | Minkowski diagrams | relativistic invariants | relativistic invariants | four-vectors | four-vectors | relativitistic particle collisions | relativitistic particle collisions | relativity and electricity | relativity and electricity | Coulomb's law | Coulomb's law | magnetic fields | magnetic fields | Newtonian cosmology | Newtonian cosmology | general relativity | general relativity | Schwarzchild metric | Schwarzchild metric | gravitational | gravitational | red shift | red shift | light trajectories | light trajectories | geodesics | geodesics | Shapiro delay | Shapiro delay

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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11.360 Community Growth and Land Use Planning (MIT) 11.360 Community Growth and Land Use Planning (MIT)

Description

This subject explores the techniques, processes, and personal and professional skills required to effectively manage growth and land use change. While primarily focused on the planning practice in the United States, the principles and techniques reviewed and presented may have international application. This course is not for bystanders; it is designed for those who wish to become actively involved or exposed to the planning discipline and profession as it is practiced today, and as it may need to be practiced in the future. This subject explores the techniques, processes, and personal and professional skills required to effectively manage growth and land use change. While primarily focused on the planning practice in the United States, the principles and techniques reviewed and presented may have international application. This course is not for bystanders; it is designed for those who wish to become actively involved or exposed to the planning discipline and profession as it is practiced today, and as it may need to be practiced in the future.

Subjects

land use | land use | planning | planning | practicum | practicum | community growth | community growth | GIS | GIS | Newton | Newton | MA | MA | zoning | zoning | Needham Street | Needham Street

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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STS.002 Toward the Scientific Revolution (MIT) STS.002 Toward the Scientific Revolution (MIT)

Description

This subject traces the evolution of ideas about nature, and how best to study and explain natural phenomena, beginning in ancient times and continuing through the Middle Ages and the Renaissance. A central theme of the subject is the intertwining of conceptual and institutional relations within diverse areas of inquiry: cosmology, natural history, physics, mathematics, and medicine. This subject traces the evolution of ideas about nature, and how best to study and explain natural phenomena, beginning in ancient times and continuing through the Middle Ages and the Renaissance. A central theme of the subject is the intertwining of conceptual and institutional relations within diverse areas of inquiry: cosmology, natural history, physics, mathematics, and medicine.

Subjects

Antiquity | Antiquity | Middle Ages | Middle Ages | Renaissance | Renaissance | science | science | cosmology | cosmology | natural history | natural history | physics | physics | mathematics | mathematics | astronomy | astronomy | medicine | medicine | alchemy | alchemy | technology | technology | Plato | Plato | Aristotle | Aristotle | Hippocrates | Hippocrates | Ptolemy | Ptolemy | Euclid | Euclid | Galen | Galen | Vesalius | Vesalius | Copernicus | Copernicus | Kepler | Kepler | Galileo | Galileo | Bacon | Bacon | Descartes | Descartes | Newton | Newton | history | history | culture | culture | scientific revolution | scientific revolution | Latin West | Latin West | western | western | natural science | natural science

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

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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8.902 Astrophysics II (MIT) 8.902 Astrophysics II (MIT)

Description

This is the second course in a two-semester sequence on astrophysics. Topics include galactic dynamics, groups and clusters on galaxies, phenomenological cosmology, Newtonian cosmology, Roberston-Walker models, and galaxy formation. This is the second course in a two-semester sequence on astrophysics. Topics include galactic dynamics, groups and clusters on galaxies, phenomenological cosmology, Newtonian cosmology, Roberston-Walker models, and galaxy formation.

Subjects

Galactic dynamics | Galactic dynamics | potential theory | potential theory | orbits | orbits | collisionless Boltzmann equations | collisionless Boltzmann equations | Galaxy interactions | Galaxy interactions | Groups and clusters | Groups and clusters | dark matter | dark matter | Intergalactic medium | Intergalactic medium | x-ray clusters | x-ray clusters | Active galactic nuclei | Active galactic nuclei | unified models | unified models | black hole accretion | black hole accretion | radio and optical jets | radio and optical jets | Homogeneity and isotropy | Homogeneity and isotropy | redshift | redshift | galaxy distance ladder | galaxy distance ladder | Newtonian cosmology | Newtonian cosmology | Roberston-Walker models and cosmography | Roberston-Walker models and cosmography | Early universe | Early universe | primordial nucleosynthesis | primordial nucleosynthesis | recombination | recombination | Cosmic microwave background radiation | Cosmic microwave background radiation | Large-scale structure | Large-scale structure | galaxy formation | galaxy formation

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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8.942 Cosmology (MIT) 8.942 Cosmology (MIT)

Description

This course provides an overview of astrophysical cosmology with emphasis on the Cosmic Microwave Background (CMB) radiation, galaxies and related phenomena at high redshift, and cosmic structure formation. Additional topics include cosmic inflation, nucleosynthesis and baryosynthesis, quasar (QSO) absorption lines, and gamma-ray bursts. Some background in general relativity is assumed. This course provides an overview of astrophysical cosmology with emphasis on the Cosmic Microwave Background (CMB) radiation, galaxies and related phenomena at high redshift, and cosmic structure formation. Additional topics include cosmic inflation, nucleosynthesis and baryosynthesis, quasar (QSO) absorption lines, and gamma-ray bursts. Some background in general relativity is assumed.

Subjects

cosmology | cosmology | thermal background | thermal background | cosmological principle | cosmological principle | Newtonian cosmology | Newtonian cosmology | types of universes | types of universes | relativistic cosmology | relativistic cosmology | horizons | horizons | evolution in cosmology | evolution in cosmology | radiation | radiation | element synthesis | element synthesis | Cosmic Microwave Background radiation | Cosmic Microwave Background radiation | galaxies | galaxies | high redshift | high redshift | cosmic structure formation | cosmic structure formation

License

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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.

Subjects

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

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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3.044 Materials Processing (MIT)

Description

This course is focused on physical understanding of materials processing, and the scaling laws that govern process speed, volume, and material quality. In particular, this course will cover the transport of heat and matter as these topics apply to materials processing.

Subjects

materials processing | heat conduction | heat transfer | Biot number | glass fibers | thermal spray | 2D analysis | friction welding | radiation | black bodies | emessivity | solidification | sand casting | lost foam | molds | binary solidification | microstructures | fluid flow | glass production | Pilkington glass | drag force | Newtonian | non-Newtonian | blow molding | compressive forming | powder | sintering | slurry | and colloid processing | steel making | electronics manufacturing

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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8.033 Relativity (MIT) 8.033 Relativity (MIT)

Description

Relativity is normally taken by physics majors in their sophomore year. Topics include: Einstein's postulates; consequences for simultaneity, time dilation, length contraction, clock synchronization; Lorentz transformation; relativistic effects and paradoxes; Minkowski diagrams; invariants and four-vectors; momentum, energy and mass; and particle collisions. Also covered is: Relativity and electricity; Coulomb's law; and magnetic fields. Brief introduction to Newtonian cosmology. There is also an introduction to some concepts of General Relativity; principle of equivalence; the Schwarzchild metric; gravitational red shift, particle and light trajectories, geodesics, and Shapiro delay. Relativity is normally taken by physics majors in their sophomore year. Topics include: Einstein's postulates; consequences for simultaneity, time dilation, length contraction, clock synchronization; Lorentz transformation; relativistic effects and paradoxes; Minkowski diagrams; invariants and four-vectors; momentum, energy and mass; and particle collisions. Also covered is: Relativity and electricity; Coulomb's law; and magnetic fields. Brief introduction to Newtonian cosmology. There is also an introduction to some concepts of General Relativity; principle of equivalence; the Schwarzchild metric; gravitational red shift, particle and light trajectories, geodesics, and Shapiro delay.

Subjects

Einstein's postulates | Einstein's postulates | consequences for simultaneity | time dilation | length contraction | clock synchronization | consequences for simultaneity | time dilation | length contraction | clock synchronization | Lorentz transformation | Lorentz transformation | relativistic effects and paradoxes | relativistic effects and paradoxes | Minkowski diagrams | Minkowski diagrams | invariants and four-vectors | invariants and four-vectors | momentum | energy and mass | momentum | energy and mass | particle collisions | particle collisions | Relativity and electricity | Relativity and electricity | Coulomb's law | Coulomb's law | magnetic fields | magnetic fields | Newtonian cosmology | Newtonian cosmology | General Relativity | General Relativity | principle of equivalence | principle of equivalence | the Schwarzchild metric | the Schwarzchild metric | gravitational red shift | particle and light trajectories | geodesics | Shapiro delay | gravitational red shift | particle and light trajectories | geodesics | Shapiro delay | gravitational red shift | gravitational red shift | particle trajectories | particle trajectories | light trajectories | light trajectories | invariants | invariants | four-vectors | four-vectors | momentum | momentum | energy | energy | mass | mass | relativistic effects | relativistic effects | paradoxes | paradoxes | electricity | electricity | time dilation | time dilation | length contraction | length contraction | clock synchronization | clock synchronization | Schwarzchild metric | Schwarzchild metric | geodesics | geodesics | Shaprio delay | Shaprio delay | relativistic kinematics | relativistic kinematics | relativistic dynamics | relativistic dynamics | electromagnetism | electromagnetism | hubble expansion | hubble expansion | universe | universe | equivalence principle | equivalence principle | curved space time | curved space time | Ether Theory | Ether Theory | constants | constants | speed of light | speed of light | c | c | graph | graph | pythagorem theorem | pythagorem theorem | triangle | triangle | arrows | arrows

License

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