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TALAT Lecture 2301: Design of Members

Description

This lecture gives background to calculation methods for aluminium members in order to understand the specific behavior of statically loaded aluminium alloy structures. Basic structural mechanic, design philosophy and structural aluminium alloys and product forms is assumed.

Subjects

aluminium | aluminum | european aluminium association | EAA | Training in Aluminium Application Technologies | training | metallurgy | technology | lecture | design | product | member | joint | static | safety | serviceability | geometrical imperfections | extruded profiles | welded profiles | residual stresses | mechanical properties | Bauschinger effect | heat affected zones | stress-strain relationship | strength | reduced strength | partial coefficients | resistance factors | gross section | net section | local buckling | cross section classes | slender plates | effective cross section | class 4 cross sections | deflections of beams | breathing | bending moment | yielding | slenderness parameter | element classification | effective thickness | welded section | section with holes | lateral torsional buckling | axial force | tensile force | compressive force | Euler load | squash load | flexural buckling | reduction factor | buckling length | splices | end connections | welded columns | columns with bolt holes | cut-outs | longitudinal welds | transverse welds | columns with unfilled bolt-holes | built-up members | intermediate stiffeners | edge stiffeners | single-sided rib | multi-stiffened plates | orthotropic plates | shear force | plate girder webs | shear buckling | shear resistance | webs with stiffeners | plate girders with intermediate stiffeners | corrugated webs | closely stiffened webs | concentrated loads | beam webs without stiffeners | beam webs with stiffeners | shear centre | closed sections | open sections | torsion without warping | torsion with warpin | bending and axial tension | bending and axial compression | strength of beam-column segments | rectangular section | strain hardening | plastic theory | I-section | H-section | thin walled cross sections | T-section | biaxial bending | linear stress distribution | shear lag | flange curling | lateral deflection | non-symmetrical flanges | corematerials | ukoer

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TALAT Lecture 2301: Design of Members

Description

This lecture gives background to calculation methods for aluminium members in order to understand the specific behavior of statically loaded aluminium alloy structures. Basic structural mechanic, design philosophy and structural aluminium alloys and product forms is assumed.

Subjects

aluminium | aluminum | european aluminium association | eaa | talat | training in aluminium application technologies | training | metallurgy | technology | lecture | design | product | member | joint | static | safety | serviceability | geometrical imperfections | extruded profiles | welded profiles | residual stresses | mechanical properties | bauschinger effect | heat affected zones | stress-strain relationship | strength | reduced strength | partial coefficients | resistance factors | gross section | net section | local buckling | cross section classes | slender plates | effective cross section | class 4 cross sections | deflections of beams | breathing | bending moment | yielding | slenderness parameter | element classification | effective thickness | welded section | section with holes | lateral torsional buckling | axial force | tensile force | compressive force | euler load | squash load | flexural buckling | reduction factor | buckling length | splices | end connections | welded columns | columns with bolt holes | cut-outs | longitudinal welds | transverse welds | columns with unfilled bolt-holes | built-up members | intermediate stiffeners | edge stiffeners | single-sided rib | multi-stiffened plates | orthotropic plates | shear force | plate girder webs | shear buckling | shear resistance | webs with stiffeners | plate girders with intermediate stiffeners | corrugated webs | closely stiffened webs | concentrated loads | beam webs without stiffeners | beam webs with stiffeners | shear centre | closed sections | open sections | torsion without warping | torsion with warpin | bending and axial tension | bending and axial compression | strength of beam-column segments | rectangular section | strain hardening | plastic theory | i-section | h-section | thin walled cross sections | t-section | biaxial bending | linear stress distribution | shear lag | flange curling | lateral deflection | non-symmetrical flanges | corematerials | ukoer | Engineering | H000

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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2.23 Hydrofoils and Propellers (13.04) (MIT) 2.23 Hydrofoils and Propellers (13.04) (MIT)

Description

This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win

Subjects

Theory and design of hydrofoil sections | Theory and design of hydrofoil sections | lifting and thickness problems | lifting and thickness problems | sub-cavitating sections | sub-cavitating sections | unsteady flow problems | unsteady flow problems | computer-aided design | computer-aided design | low drag | low drag | cavitation free sections | cavitation free sections | Lifting line and lifting surface theory | Lifting line and lifting surface theory | hydrofoil craft | hydrofoil craft | rudder | rudder | and control surface design | and control surface design | propeller lifting line | propeller lifting line | lifting surface theory | lifting surface theory | wake adapted propellers | wake adapted propellers | unsteady propeller thrust and torque | unsteady propeller thrust and torque | axially symmetric bodies | axially symmetric bodies | low-aspect ratio lifting surfaces | low-aspect ratio lifting surfaces | Hydrodynamic performance | Hydrodynamic performance | design of waterjets | design of waterjets | wind turbine rotors in steady and stochastic wind | wind turbine rotors in steady and stochastic wind | hydrofoil craft | rudder | and control surface design | hydrofoil craft | rudder | and control surface design | 9. low drag | cavitation free sections | 9. low drag | cavitation free sections | 5. hydrofoil craft | rudder | and control surface design | 5. hydrofoil craft | rudder | and control surface design | low drag | cavitation free sections | low drag | cavitation free sections

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13.04 Hydrofoils and Propellers (MIT) 13.04 Hydrofoils and Propellers (MIT)

Description

This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win

Subjects

Theory and design of hydrofoil sections | Theory and design of hydrofoil sections | lifting and thickness problems | lifting and thickness problems | sub-cavitating sections | sub-cavitating sections | unsteady flow problems | unsteady flow problems | computer-aided design | computer-aided design | low drag | low drag | cavitation free sections | cavitation free sections | Lifting line and lifting surface theory | Lifting line and lifting surface theory | hydrofoil craft | hydrofoil craft | rudder | rudder | and control surface design | and control surface design | propeller lifting line | propeller lifting line | lifting surface theory | lifting surface theory | wake adapted propellers | wake adapted propellers | unsteady propeller thrust and torque | unsteady propeller thrust and torque | axially symmetric bodies | axially symmetric bodies | low-aspect ratio lifting surfaces | low-aspect ratio lifting surfaces | Hydrodynamic performance | Hydrodynamic performance | design of waterjets | design of waterjets | wind turbine rotors in steady and stochastic wind | wind turbine rotors in steady and stochastic wind | hydrofoil craft | rudder | and control surface design | hydrofoil craft | rudder | and control surface design | 9. low drag | cavitation free sections | 9. low drag | cavitation free sections | 5. hydrofoil craft | rudder | and control surface design | 5. hydrofoil craft | rudder | and control surface design | low drag | cavitation free sections | low drag | cavitation free sections | 2.23 | 2.23

License

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2.23 Hydrofoils and Propellers (13.04) (MIT)

Description

This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win

Subjects

Theory and design of hydrofoil sections | lifting and thickness problems | sub-cavitating sections | unsteady flow problems | computer-aided design | low drag | cavitation free sections | Lifting line and lifting surface theory | hydrofoil craft | rudder | and control surface design | propeller lifting line | lifting surface theory | wake adapted propellers | unsteady propeller thrust and torque | axially symmetric bodies | low-aspect ratio lifting surfaces | Hydrodynamic performance | design of waterjets | wind turbine rotors in steady and stochastic wind | hydrofoil craft | rudder | and control surface design | 9. low drag | cavitation free sections | 5. hydrofoil craft | rudder | and control surface design | low drag | cavitation free sections

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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13.04 Hydrofoils and Propellers (MIT)

Description

This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win

Subjects

Theory and design of hydrofoil sections | lifting and thickness problems | sub-cavitating sections | unsteady flow problems | computer-aided design | low drag | cavitation free sections | Lifting line and lifting surface theory | hydrofoil craft | rudder | and control surface design | propeller lifting line | lifting surface theory | wake adapted propellers | unsteady propeller thrust and torque | axially symmetric bodies | low-aspect ratio lifting surfaces | Hydrodynamic performance | design of waterjets | wind turbine rotors in steady and stochastic wind | hydrofoil craft | rudder | and control surface design | 9. low drag | cavitation free sections | 5. hydrofoil craft | rudder | and control surface design | low drag | cavitation free sections | 2.23

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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18.315 Combinatorial Theory: Hyperplane Arrangements (MIT) 18.315 Combinatorial Theory: Hyperplane Arrangements (MIT)

Description

This is a graduate-level course in combinatorial theory. The content varies year to year, according to the interests of the instructor and the students. The topic of this course is hyperplane arrangements, including background material from the theory of posets and matroids. This is a graduate-level course in combinatorial theory. The content varies year to year, according to the interests of the instructor and the students. The topic of this course is hyperplane arrangements, including background material from the theory of posets and matroids.

Subjects

Combinatorial Theory | Combinatorial Theory | Hyperplane Arrangements | Hyperplane Arrangements | Intersection Poset | Intersection Poset | Matroids | Matroids | Geometric Lattices | Geometric Lattices | Broken Circuits | Broken Circuits | Modular Elements | Modular Elements | Supersolvability | Supersolvability | Finite Fields | Finite Fields | Hyperplane | Hyperplane | Arrangements | Arrangements | intersection poset | intersection poset | geometric lattices | geometric lattices | Broken circuits | Broken circuits | modular elements | modular elements | supersolvability | supersolvability | Finite fields | Finite fields

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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18.997 Topics in Combinatorial Optimization (MIT) 18.997 Topics in Combinatorial Optimization (MIT)

Description

In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with non-bipartite matchings and cover many results extending the fundamental results of matchings, flows and matroids. The emphasis is on the derivation of purely combinatorial results, including min-max relations, and not so much on the corresponding algorithmic questions of how to find such objects. The intended audience consists of Ph.D. students interested in optimization, combinatorics, or combinatorial algorithms. In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with non-bipartite matchings and cover many results extending the fundamental results of matchings, flows and matroids. The emphasis is on the derivation of purely combinatorial results, including min-max relations, and not so much on the corresponding algorithmic questions of how to find such objects. The intended audience consists of Ph.D. students interested in optimization, combinatorics, or combinatorial algorithms.

Subjects

combinatorial optimization | combinatorial optimization | Ear decompositions | Ear decompositions | Nonbipartite matching | Nonbipartite matching | Gallai-Milgram and Bessy-Thomasse theorems on partitioning/covering graphs by directed paths/cycles | Gallai-Milgram and Bessy-Thomasse theorems on partitioning/covering graphs by directed paths/cycles | Minimization of submodular functions | Minimization of submodular functions | Matroid intersection | Matroid intersection | Polymatroid intersection | Polymatroid intersection | Jump systems | Jump systems | Matroid union | Matroid union | Matroid matching | path matchings | Matroid matching | path matchings | Packing trees and arborescences | Packing trees and arborescences | Packing directed cuts and the Lucchesi-Younger theorem | Packing directed cuts and the Lucchesi-Younger theorem | Submodular flows and the Edmonds-Giles theorem | Submodular flows and the Edmonds-Giles theorem | Graph orientation | Graph orientation | Connectivity tree and connectivity augmentation | Connectivity tree and connectivity augmentation | Multicommodity flows | Multicommodity flows | Connectivity tree | Connectivity tree | connectivity augmentation | connectivity augmentation | Gallai-Milgram Theorem | Gallai-Milgram Theorem | Bessy-Thomasse Theorem | Bessy-Thomasse Theorem | paritioning graphs | paritioning graphs | covering graphs | covering graphs | directed paths | directed paths | directed cycles | directed cycles | matroid matching | matroid matching | path matching | path matching | packing directed cuts | packing directed cuts | Luchessi-Younger Theorem | Luchessi-Younger Theorem | packing trees | packing trees | arborescences | arborescences | submodular flows | submodular flows | Edmonds-Giles Theorem | Edmonds-Giles Theorem

License

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Structures and materials : section 6 axially loaded structural members : presentation 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 | engcetl | loughborough university | higher education | learning | loughboroughunioer | engineering | tta104 | shear loading | axially loaded structural members | loads | loading | two-step steel rod | tapered cross section | rectangular cross-section | circular cross-section | shear | structural members | deformation | forces | axial member | axial loading | 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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SP.601J Feminist Theory (MIT) SP.601J Feminist Theory (MIT)

Description

This course focuses on a range of theories of gender in modern life. In recent years, feminist scholars in a range of disciplines have challenged previously accepted notions of political theory such as the distinctions between public and private, the definitions of politics itself, the nature of citizenship, and the roles of women in civil society. In this course, we will examine different aspects of women's lives through the life cycle as seen from the vantage point of feminist theory. In addition, we will consider different ways of looking at power and political culture in modern societies, issues of race and class, poverty and welfare, and sexuality and morality. Acknowledgements The instructor would like to thank Lara Yeo for capturing notes and discussion questions in class. This course focuses on a range of theories of gender in modern life. In recent years, feminist scholars in a range of disciplines have challenged previously accepted notions of political theory such as the distinctions between public and private, the definitions of politics itself, the nature of citizenship, and the roles of women in civil society. In this course, we will examine different aspects of women's lives through the life cycle as seen from the vantage point of feminist theory. In addition, we will consider different ways of looking at power and political culture in modern societies, issues of race and class, poverty and welfare, and sexuality and morality. Acknowledgements The instructor would like to thank Lara Yeo for capturing notes and discussion questions in class.

Subjects

Men | Men | Women | Women | Gender | Gender | Feminists | Feminists | Feminist Theory | Feminist Theory | Prostitution | Prostitution | Morality | Morality | Chromosomes | Chromosomes | gender identification | gender identification | work and family | work and family | welfare reform | welfare reform | paternity | paternity | maternity | maternity | divorce | divorce | globalization of women's labor | globalization of women's labor | pornography | pornography | internet | internet | military service | military service | race | race | class | class | 2008 election campaigns | 2008 election campaigns | body image | body image | discrimination | discrimination | date rape | date rape | rape | rape | domestic violence | domestic violence | females in sports | females in sports | embodied knowledge | embodied knowledge | sexuality | sexuality | politics of consent | politics of consent | international economics | international economics | exile and pride | exile and pride | curious feminist | curious feminist | don't call us out of name | don't call us out of name | theorizing feminisms | theorizing feminisms | undoing the silence | undoing the silence | sneaker production | sneaker production | intersectionality | intersectionality | contextualize | contextualize | historicize | historicize

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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22.05 Neutron Science and Reactor Physics (MIT) 22.05 Neutron Science and Reactor Physics (MIT)

Description

This course introduces fundamental properties of the neutron. It covers reactions induced by neutrons, nuclear fission, slowing down of neutrons in infinite media, diffusion theory, the few-group approximation, point kinetics, and fission-product poisoning. We emphasize the nuclear physics basis of reactor design and its relationship to reactor engineering problems. This course introduces fundamental properties of the neutron. It covers reactions induced by neutrons, nuclear fission, slowing down of neutrons in infinite media, diffusion theory, the few-group approximation, point kinetics, and fission-product poisoning. We emphasize the nuclear physics basis of reactor design and its relationship to reactor engineering problems.

Subjects

reactor physics | reactor physics | reactor layout | reactor layout | binding energy | binding energy | fission | fission | neutron cross-sections | neutron cross-sections | liquid drop model | liquid drop model | neutron life cycle | neutron life cycle | criticality | criticality | accidents | accidents | neutron flux | neutron flux | neutron current | neutron current | neutron diffusion theory | neutron diffusion theory | elastic neutron scattering | elastic neutron scattering | group diffusion method | group diffusion method | subcritical multiplication | subcritical multiplication | point kinetics | point kinetics | dynamic period equation | dynamic period equation | inhour equation | inhour equation | shutdown margin | shutdown margin

License

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STS.330 History and Anthropology of Medicine and Biology (MIT) STS.330 History and Anthropology of Medicine and Biology (MIT)

Description

This course explores recent historical and anthropological approaches to the study of medicine and biology. Topics include histories of bodies and embodiment in medicine; institutional and social genealogies and futures for genes and genomes; the role of science and medicine in racial formation; epidemics and emergent diseases; new reproductive technologies and socialities; the laboratory and field lives of animals, plants, microbes, molecules, and environments. This course explores recent historical and anthropological approaches to the study of medicine and biology. Topics include histories of bodies and embodiment in medicine; institutional and social genealogies and futures for genes and genomes; the role of science and medicine in racial formation; epidemics and emergent diseases; new reproductive technologies and socialities; the laboratory and field lives of animals, plants, microbes, molecules, and environments.

Subjects

historical medicine | historical medicine | medieval dissection | medieval dissection | gender | gender | visible human project | visible human project | genealogies | genealogies | genome | genome | biological kinship | biological kinship | biology of race | biology of race | race and disease | race and disease | emerging diseases | emerging diseases | human relationship with animals | human relationship with animals | reproductive technologies | reproductive technologies | therapeutics | therapeutics | bioprospecting | bioprospecting | climate change | climate change | environmental technology | environmental technology

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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12.620J Classical Mechanics: A Computational Approach (MIT) 12.620J Classical Mechanics: A Computational Approach (MIT)

Description

12.620J covers the fundamental principles of classical mechanics, with a modern emphasis on the qualitative structure of phase space. The course uses computational ideas to formulate the principles of mechanics precisely. Expression in a computational framework encourages clear thinking and active exploration.The following topics are covered: the Lagrangian formulation, action, variational principles, and equations of motion, Hamilton's principle, conserved quantities, rigid bodies and tops, Hamiltonian formulation and canonical equations, surfaces of section, chaos, canonical transformations and generating functions, Liouville's theorem and Poincaré integral invariants, Poincaré-Birkhoff and KAM theorems, invariant curves and cantori, nonlinear resonances, resonance ov 12.620J covers the fundamental principles of classical mechanics, with a modern emphasis on the qualitative structure of phase space. The course uses computational ideas to formulate the principles of mechanics precisely. Expression in a computational framework encourages clear thinking and active exploration.The following topics are covered: the Lagrangian formulation, action, variational principles, and equations of motion, Hamilton's principle, conserved quantities, rigid bodies and tops, Hamiltonian formulation and canonical equations, surfaces of section, chaos, canonical transformations and generating functions, Liouville's theorem and Poincaré integral invariants, Poincaré-Birkhoff and KAM theorems, invariant curves and cantori, nonlinear resonances, resonance ov

Subjects

classical mechanics | classical mechanics | phase space | phase space | computation | computation | Lagrangian formulation | Lagrangian formulation | action | action | variational principles | variational principles | equations of motion | equations of motion | Hamilton's principle | Hamilton's principle | conserved quantities | conserved quantities | rigid bodies and tops | rigid bodies and tops | Hamiltonian formulation | Hamiltonian formulation | canonical equations | canonical equations | surfaces of section | surfaces of section | chaos | chaos | canonical transformations | canonical transformations | generating functions | generating functions | Liouville's theorem | Liouville's theorem | Poincar? integral invariants | Poincar? integral invariants | Poincar?-Birkhoff | Poincar?-Birkhoff | KAM theorem | KAM theorem | invariant curves | invariant curves | cantori | cantori | nonlinear resonances | nonlinear resonances | resonance overlap | resonance overlap | transition to chaos | transition to chaos | chaotic motion | chaotic motion | 12.620 | 12.620 | 6.946 | 6.946 | 8.351 | 8.351

License

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22.101 Applied Nuclear Physics (MIT) 22.101 Applied Nuclear Physics (MIT)

Description

This subject deals with foundational knowledge for all students in NED. Emphasis is on nuclear concepts (as opposed to traditional nuclear physics), especially nuclear radiations and their interactions with matter. We will study different types of reactions, single-collision phenomena (cross sections) and leave the effects of many collisions to later subjects (22.105 and 22.106). Quantum mechanics is used at a lower level than in 22.51 and 22.106. This subject deals with foundational knowledge for all students in NED. Emphasis is on nuclear concepts (as opposed to traditional nuclear physics), especially nuclear radiations and their interactions with matter. We will study different types of reactions, single-collision phenomena (cross sections) and leave the effects of many collisions to later subjects (22.105 and 22.106). Quantum mechanics is used at a lower level than in 22.51 and 22.106.

Subjects

nuclear concepts | nuclear concepts | nuclear physics | nuclear physics | nuclear radiations | nuclear radiations | matter | matter | types of reactions | types of reactions | single-collision phenomena | single-collision phenomena | cross sections | cross sections | effects of many collisions | effects of many collisions | Quantum mechanics | Quantum mechanics

License

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

Description

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

Subjects

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

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IV (MIT) IV (MIT)

Description

The basic objective of Unified Engineering is to give a solid understanding of the fundamental disciplines of aerospace engineering, as well as their interrelationships and applications. These disciplines are Materials and Structures (M); Computers and Programming (C); Fluid Mechanics (F); Thermodynamics (T); Propulsion (P); and Signals and Systems (S). In choosing to teach these subjects in a unified manner, the instructors seek to explain the common intellectual threads in these disciplines, as well as their combined application to solve engineering Systems Problems (SP). Throughout the year, the instructors emphasize the connections among the disciplines.Technical RequirementsMicrosoft® Excel software is recommended for viewing the .xls files The basic objective of Unified Engineering is to give a solid understanding of the fundamental disciplines of aerospace engineering, as well as their interrelationships and applications. These disciplines are Materials and Structures (M); Computers and Programming (C); Fluid Mechanics (F); Thermodynamics (T); Propulsion (P); and Signals and Systems (S). In choosing to teach these subjects in a unified manner, the instructors seek to explain the common intellectual threads in these disciplines, as well as their combined application to solve engineering Systems Problems (SP). Throughout the year, the instructors emphasize the connections among the disciplines.Technical RequirementsMicrosoft® Excel software is recommended for viewing the .xls files

Subjects

Unified | Unified | Unified Engineering | Unified Engineering | aerospace | aerospace | CDIO | CDIO | C-D-I-O | C-D-I-O | conceive | conceive | design | design | implement | implement | operate | operate | team | team | team-based | team-based | discipline | discipline | materials | materials | structures | structures | materials and structures | materials and structures | computers | computers | programming | programming | computers and programming | computers and programming | fluids | fluids | fluid mechanics | fluid mechanics | thermodynamics | thermodynamics | propulsion | propulsion | signals | signals | systems | systems | signals and systems | signals and systems | systems problems | systems problems | fundamentals | fundamentals | technical communication | technical communication | graphical communication | graphical communication | communication | communication | reading | reading | research | research | experimentation | experimentation | personal response system | personal response system | prs | prs | active learning | active learning | First law | First law | first law of thermodynamics | first law of thermodynamics | thermo-mechanical | thermo-mechanical | energy | energy | energy conversion | energy conversion | aerospace power systems | aerospace power systems | propulsion systems | propulsion systems | aerospace propulsion systems | aerospace propulsion systems | heat | heat | work | work | thermal efficiency | thermal efficiency | forms of energy | forms of energy | energy exchange | energy exchange | processes | processes | heat engines | heat engines | engines | engines | steady-flow energy equation | steady-flow energy equation | energy flow | energy flow | flows | flows | path-dependence | path-dependence | path-independence | path-independence | reversibility | reversibility | irreversibility | irreversibility | state | state | thermodynamic state | thermodynamic state | performance | performance | ideal cycle | ideal cycle | simple heat engine | simple heat engine | cycles | cycles | thermal pressures | thermal pressures | temperatures | temperatures | linear static networks | linear static networks | loop method | loop method | node method | node method | linear dynamic networks | linear dynamic networks | classical methods | classical methods | state methods | state methods | state concepts | state concepts | dynamic systems | dynamic systems | resistive circuits | resistive circuits | sources | sources | voltages | voltages | currents | currents | Thevinin | Thevinin | Norton | Norton | initial value problems | initial value problems | RLC networks | RLC networks | characteristic values | characteristic values | characteristic vectors | characteristic vectors | transfer function | transfer function | ada | ada | ada programming | ada programming | programming language | programming language | software systems | software systems | programming style | programming style | computer architecture | computer architecture | program language evolution | program language evolution | classification | classification | numerical computation | numerical computation | number representation systems | number representation systems | assembly | assembly | SimpleSIM | SimpleSIM | RISC | RISC | CISC | CISC | operating systems | operating systems | single user | single user | multitasking | multitasking | multiprocessing | multiprocessing | domain-specific classification | domain-specific classification | recursive | recursive | execution time | execution time | fluid dynamics | fluid dynamics | physical properties of a fluid | physical properties of a fluid | fluid flow | fluid flow | mach | mach | reynolds | reynolds | conservation | conservation | conservation principles | conservation principles | conservation of mass | conservation of mass | conservation of momentum | conservation of momentum | conservation of energy | conservation of energy | continuity | continuity | inviscid | inviscid | steady flow | steady flow | simple bodies | simple bodies | airfoils | airfoils | wings | wings | channels | channels | aerodynamics | aerodynamics | forces | forces | moments | moments | equilibrium | equilibrium | freebody diagram | freebody diagram | free-body | free-body | free body | free body | planar force systems | planar force systems | equipollent systems | equipollent systems | equipollence | equipollence | support reactions | support reactions | reactions | reactions | static determinance | static determinance | determinate systems | determinate systems | truss analysis | truss analysis | trusses | trusses | method of joints | method of joints | method of sections | method of sections | statically indeterminate | statically indeterminate | three great principles | three great principles | 3 great principles | 3 great principles | indicial notation | indicial notation | rotation of coordinates | rotation of coordinates | coordinate rotation | coordinate rotation | stress | stress | extensional stress | extensional stress | shear stress | shear stress | notation | notation | plane stress | plane stress | stress equilbrium | stress equilbrium | stress transformation | stress transformation | mohr | mohr | mohr's circle | mohr's circle | principal stress | principal stress | principal stresses | principal stresses | extreme shear stress | extreme shear stress | strain | strain | extensional strain | extensional strain | shear strain | shear strain | strain-displacement | strain-displacement | compatibility | compatibility | strain transformation | strain transformation | transformation of strain | transformation of strain | mohr's circle for strain | mohr's circle for strain | principal strain | principal strain | extreme shear strain | extreme shear strain | uniaxial stress-strain | uniaxial stress-strain | material properties | material properties | classes of materials | classes of materials | bulk material properties | bulk material properties | origin of elastic properties | origin of elastic properties | structures of materials | structures of materials | atomic bonding | atomic bonding | packing of atoms | packing of atoms | atomic packing | atomic packing | crystals | crystals | crystal structures | crystal structures | polymers | polymers | estimate of moduli | estimate of moduli | moduli | moduli | composites | composites | composite materials | composite materials | modulus limited design | modulus limited design | material selection | material selection | materials selection | materials selection | measurement of elastic properties | measurement of elastic properties | stress-strain | stress-strain | stress-strain relations | stress-strain relations | anisotropy | anisotropy | orthotropy | orthotropy | measurements | measurements | engineering notation | engineering notation | Hooke | Hooke | Hooke's law | Hooke's law | general hooke's law | general hooke's law | equations of elasticity | equations of elasticity | boundary conditions | boundary conditions | multi-disciplinary | multi-disciplinary | models | models | engineering systems | engineering systems | experiments | experiments | investigations | investigations | experimental error | experimental error | design evaluation | design evaluation | evaluation | evaluation | trade studies | trade studies | effects of engineering | effects of engineering | social context | social context | engineering drawings | engineering drawings | 16.01 | 16.01 | 16.02 | 16.02 | 16.03 | 16.03 | 16.04 | 16.04

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13.472J Computational Geometry (MIT) 13.472J Computational Geometry (MIT)

Description

Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees. Robustness of geometric computations. Interval methods. Finite and boundary element discretization methods for continuum mechanics problems. Scientific visualization. Variational geometry. Tolerances. Inspection methods. Feature representation and recognition. Shape interrogation for design, analysis, and manufacturing. Involves analytical and programming assignments. Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees. Robustness of geometric computations. Interval methods. Finite and boundary element discretization methods for continuum mechanics problems. Scientific visualization. Variational geometry. Tolerances. Inspection methods. Feature representation and recognition. Shape interrogation for design, analysis, and manufacturing. Involves analytical and programming assignments.

Subjects

surface modeling | surface modeling | b-splines | b-splines | deformable surfaces | deformable surfaces | generalized cylinders | generalized cylinders | offsets | offsets | filleting surfaces | filleting surfaces | Non-linear solvers and intersection problems | Non-linear solvers and intersection problems | Solid modeling | Solid modeling | boundary representation | boundary representation | non-manifold and mixed-dimension boundary representation models | non-manifold and mixed-dimension boundary representation models | octrees | octrees | Interval methods | Interval methods | discretization methods | discretization methods | Scientific visualization | Scientific visualization | Variational geometry | Variational geometry | Tolerances | Tolerances | Inspection methods | Inspection methods | Shape interrogation | Shape interrogation | 2.158J | 2.158J | 1.128J | 1.128J | 16.940J | 16.940J | 13.472 | 13.472 | 2.158 | 2.158 | 1.128 | 1.128 | 16.940 | 16.940

License

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IV (MIT) IV (MIT)

Description

Includes audio/video content: AV selected lectures, AV faculty introductions, AV special element video. The basic objective of Unified Engineering is to give a solid understanding of the fundamental disciplines of aerospace engineering, as well as their interrelationships and applications. These disciplines are Materials and Structures (M); Computers and Programming (C); Fluid Mechanics (F); Thermodynamics (T); Propulsion (P); and Signals and Systems (S). In choosing to teach these subjects in a unified manner, the instructors seek to explain the common intellectual threads in these disciplines, as well as their combined application to solve engineering Systems Problems (SP). Throughout the year, the instructors emphasize the connections among the disciplines. Includes audio/video content: AV selected lectures, AV faculty introductions, AV special element video. The basic objective of Unified Engineering is to give a solid understanding of the fundamental disciplines of aerospace engineering, as well as their interrelationships and applications. These disciplines are Materials and Structures (M); Computers and Programming (C); Fluid Mechanics (F); Thermodynamics (T); Propulsion (P); and Signals and Systems (S). In choosing to teach these subjects in a unified manner, the instructors seek to explain the common intellectual threads in these disciplines, as well as their combined application to solve engineering Systems Problems (SP). Throughout the year, the instructors emphasize the connections among the disciplines.

Subjects

Unified | Unified | Unified Engineering | Unified Engineering | aerospace | aerospace | CDIO | CDIO | C-D-I-O | C-D-I-O | conceive | conceive | design | design | implement | implement | operate | operate | team | team | team-based | team-based | discipline | discipline | materials | materials | structures | structures | materials and structures | materials and structures | computers | computers | programming | programming | computers and programming | computers and programming | fluids | fluids | fluid mechanics | fluid mechanics | thermodynamics | thermodynamics | propulsion | propulsion | signals | signals | systems | systems | signals and systems | signals and systems | systems problems | systems problems | fundamentals | fundamentals | technical communication | technical communication | graphical communication | graphical communication | communication | communication | reading | reading | research | research | experimentation | experimentation | personal response system | personal response system | prs | prs | active learning | active learning | First law | First law | first law of thermodynamics | first law of thermodynamics | thermo-mechanical | thermo-mechanical | energy | energy | energy conversion | energy conversion | aerospace power systems | aerospace power systems | propulsion systems | propulsion systems | aerospace propulsion systems | aerospace propulsion systems | heat | heat | work | work | thermal efficiency | thermal efficiency | forms of energy | forms of energy | energy exchange | energy exchange | processes | processes | heat engines | heat engines | engines | engines | steady-flow energy equation | steady-flow energy equation | energy flow | energy flow | flows | flows | path-dependence | path-dependence | path-independence | path-independence | reversibility | reversibility | irreversibility | irreversibility | state | state | thermodynamic state | thermodynamic state | performance | performance | ideal cycle | ideal cycle | simple heat engine | simple heat engine | cycles | cycles | thermal pressures | thermal pressures | temperatures | temperatures | linear static networks | linear static networks | loop method | loop method | node method | node method | linear dynamic networks | linear dynamic networks | classical methods | classical methods | state methods | state methods | state concepts | state concepts | dynamic systems | dynamic systems | resistive circuits | resistive circuits | sources | sources | voltages | voltages | currents | currents | Thevinin | Thevinin | Norton | Norton | initial value problems | initial value problems | RLC networks | RLC networks | characteristic values | characteristic values | characteristic vectors | characteristic vectors | transfer function | transfer function | ada | ada | ada programming | ada programming | programming language | programming language | software systems | software systems | programming style | programming style | computer architecture | computer architecture | program language evolution | program language evolution | classification | classification | numerical computation | numerical computation | number representation systems | number representation systems | assembly | assembly | SimpleSIM | SimpleSIM | RISC | RISC | CISC | CISC | operating systems | operating systems | single user | single user | multitasking | multitasking | multiprocessing | multiprocessing | domain-specific classification | domain-specific classification | recursive | recursive | execution time | execution time | fluid dynamics | fluid dynamics | physical properties of a fluid | physical properties of a fluid | fluid flow | fluid flow | mach | mach | reynolds | reynolds | conservation | conservation | conservation principles | conservation principles | conservation of mass | conservation of mass | conservation of momentum | conservation of momentum | conservation of energy | conservation of energy | continuity | continuity | inviscid | inviscid | steady flow | steady flow | simple bodies | simple bodies | airfoils | airfoils | wings | wings | channels | channels | aerodynamics | aerodynamics | forces | forces | moments | moments | equilibrium | equilibrium | freebody diagram | freebody diagram | free-body | free-body | free body | free body | planar force systems | planar force systems | equipollent systems | equipollent systems | equipollence | equipollence | support reactions | support reactions | reactions | reactions | static determinance | static determinance | determinate systems | determinate systems | truss analysis | truss analysis | trusses | trusses | method of joints | method of joints | method of sections | method of sections | statically indeterminate | statically indeterminate | three great principles | three great principles | 3 great principles | 3 great principles | indicial notation | indicial notation | rotation of coordinates | rotation of coordinates | coordinate rotation | coordinate rotation | stress | stress | extensional stress | extensional stress | shear stress | shear stress | notation | notation | plane stress | plane stress | stress equilbrium | stress equilbrium | stress transformation | stress transformation | mohr | mohr | mohr's circle | mohr's circle | principal stress | principal stress | principal stresses | principal stresses | extreme shear stress | extreme shear stress | strain | strain | extensional strain | extensional strain | shear strain | shear strain | strain-displacement | strain-displacement | compatibility | compatibility | strain transformation | strain transformation | transformation of strain | transformation of strain | mohr's circle for strain | mohr's circle for strain | principal strain | principal strain | extreme shear strain | extreme shear strain | uniaxial stress-strain | uniaxial stress-strain | material properties | material properties | classes of materials | classes of materials | bulk material properties | bulk material properties | origin of elastic properties | origin of elastic properties | structures of materials | structures of materials | atomic bonding | atomic bonding | packing of atoms | packing of atoms | atomic packing | atomic packing | crystals | crystals | crystal structures | crystal structures | polymers | polymers | estimate of moduli | estimate of moduli | moduli | moduli | composites | composites | composite materials | composite materials | modulus limited design | modulus limited design | material selection | material selection | materials selection | materials selection | measurement of elastic properties | measurement of elastic properties | stress-strain | stress-strain | stress-strain relations | stress-strain relations | anisotropy | anisotropy | orthotropy | orthotropy | measurements | measurements | engineering notation | engineering notation | Hooke | Hooke | Hooke's law | Hooke's law | general hooke's law | general hooke's law | equations of elasticity | equations of elasticity | boundary conditions | boundary conditions | multi-disciplinary | multi-disciplinary | models | models | engineering systems | engineering systems | experiments | experiments | investigations | investigations | experimental error | experimental error | design evaluation | design evaluation | evaluation | evaluation | trade studies | trade studies | effects of engineering | effects of engineering | social context | social context | engineering drawings | engineering drawings

License

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2.158J Computational Geometry (MIT) 2.158J Computational Geometry (MIT)

Description

Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees. Robustness of geometric computations. Interval methods. Finite and boundary element discretization methods for continuum mechanics problems. Scientific visualization. Variational geometry. Tolerances. Inspection methods. Feature representation and recognition. Shape interrogation for design, analysis, and manufacturing. Involves analytical and programming assignments. This course was originally offered in Course 13 (Depar Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees. Robustness of geometric computations. Interval methods. Finite and boundary element discretization methods for continuum mechanics problems. Scientific visualization. Variational geometry. Tolerances. Inspection methods. Feature representation and recognition. Shape interrogation for design, analysis, and manufacturing. Involves analytical and programming assignments. This course was originally offered in Course 13 (Depar

Subjects

surface modeling | surface modeling | b-splines | b-splines | deformable surfaces | deformable surfaces | generalized cylinders | generalized cylinders | offsets | offsets | filleting surfaces | filleting surfaces | Non-linear solvers and intersection problems | Non-linear solvers and intersection problems | Solid modeling | Solid modeling | boundary representation | boundary representation | non-manifold and mixed-dimension boundary representation models | non-manifold and mixed-dimension boundary representation models | octrees | octrees | Interval methods | Interval methods | discretization methods | discretization methods | Scientific visualization | Scientific visualization | Variational geometry | Variational geometry | Tolerances | Tolerances | Inspection methods | Inspection methods | Shape interrogation | Shape interrogation | 13.472J | 13.472J | 13.472 | 13.472 | 2.158 | 2.158 | 1.128 | 1.128 | 16.940 | 16.940

License

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6.055J The Art of Approximation in Science and Engineering (MIT) 6.055J The Art of Approximation in Science and Engineering (MIT)

Description

This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis is on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world. This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis is on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world.

Subjects

approximation | approximation | science | science | engineering | engineering | managing complexity | managing complexity | divide and conquer | divide and conquer | heterogeneous hierarchies | heterogeneous hierarchies | homogeneous hierarchies | homogeneous hierarchies | proportional reasoning | proportional reasoning | conservation/box models | conservation/box models | dimensional analysis | dimensional analysis | special cases | special cases | extreme cases | extreme cases | discretization | discretization | spring models | spring models | symmetry | symmetry | invariance | invariance | discarding information | discarding information | oil imports | oil imports | tree representations | tree representations | gold | gold | random walks | random walks | UNIX | UNIX | triangle bisection | triangle bisection | pentagonal heat flow | pentagonal heat flow | jump heights | jump heights | simple calculus | simple calculus | drag | drag | cycling | cycling | swimming | swimming | flying | flying | flight | flight | algebraic symmetry | algebraic symmetry | densities | densities | hydrogen size | hydrogen size | bending of light | bending of light | Buckingham Pi Theorem | Buckingham Pi Theorem | pulley acceleration | pulley acceleration | waves | waves

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7.18 Topics in Experimental Biology (MIT) 7.18 Topics in Experimental Biology (MIT)

Description

This independent experimental study course is designed to allow students with a strong interest in independent research to fulfill the project laboratory requirement for the Biology Department Program in the context of a research laboratory at MIT. The research should be a continuation of a previous project under the direction of a member of the Biology Department faculty. This course provides instruction and practice in written and oral communication. Journal club discussions are used to help students evaluate and write scientific papers. This independent experimental study course is designed to allow students with a strong interest in independent research to fulfill the project laboratory requirement for the Biology Department Program in the context of a research laboratory at MIT. The research should be a continuation of a previous project under the direction of a member of the Biology Department faculty. This course provides instruction and practice in written and oral communication. Journal club discussions are used to help students evaluate and write scientific papers.

Subjects

experimental biology | experimental biology | journal club | journal club | primary literature | primary literature | scientific research | scientific research | oral presentations | oral presentations | communication | communication | abstracts | abstracts | materials and methods | materials and methods | discussion | discussion | IMRAD | IMRAD | research report | research report | laboratory research | laboratory research | results section | results section

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9.12 Experimental Molecular Neurobiology (MIT) 9.12 Experimental Molecular Neurobiology (MIT)

Description

Designed for students without previous experience in techniques of cellular and molecular biology, this class teaches basic experimental techniques in cellular and molecular neurobiology. Experimental approaches covered include tissue culture of neuronal cell lines, dissection and culture of brain cells, DNA manipulation, synaptic protein analysis, immunocytochemistry, and fluorescent microscopy. Designed for students without previous experience in techniques of cellular and molecular biology, this class teaches basic experimental techniques in cellular and molecular neurobiology. Experimental approaches covered include tissue culture of neuronal cell lines, dissection and culture of brain cells, DNA manipulation, synaptic protein analysis, immunocytochemistry, and fluorescent microscopy.

Subjects

molecular biology | molecular biology | GFP | GFP | RFP | RFP | neurons | neurons | experimental techniques | experimental techniques | genetic sequencing | genetic sequencing | vector design | vector design | plasmid | plasmid | polymerase chain reaction | polymerase chain reaction | transfection | transfection | cell culture | cell culture | gel electrophoresis | gel electrophoresis | Western blotting | Western blotting | Northern blotting | Northern blotting | Southern blotting | Southern blotting | perfusion | perfusion | lab animals | lab animals | brain dissection | brain dissection

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12.620J Classical Mechanics: A Computational Approach (MIT) 12.620J Classical Mechanics: A Computational Approach (MIT)

Description

We will study the fundamental principles of classical mechanics, with a modern emphasis on the qualitative structure of phase space. We will use computational ideas to formulate the principles of mechanics precisely. Expression in a computational framework encourages clear thinking and active exploration. We will consider the following topics: the Lagrangian formulation; action, variational principles, and equations of motion; Hamilton's principle; conserved quantities; rigid bodies and tops; Hamiltonian formulation and canonical equations; surfaces of section; chaos; canonical transformations and generating functions; Liouville's theorem and Poincaré integral invariants; Poincaré-Birkhoff and KAM theorems; invariant curves and cantori; nonlinear resonances; resonance overl We will study the fundamental principles of classical mechanics, with a modern emphasis on the qualitative structure of phase space. We will use computational ideas to formulate the principles of mechanics precisely. Expression in a computational framework encourages clear thinking and active exploration. We will consider the following topics: the Lagrangian formulation; action, variational principles, and equations of motion; Hamilton's principle; conserved quantities; rigid bodies and tops; Hamiltonian formulation and canonical equations; surfaces of section; chaos; canonical transformations and generating functions; Liouville's theorem and Poincaré integral invariants; Poincaré-Birkhoff and KAM theorems; invariant curves and cantori; nonlinear resonances; resonance overl

Subjects

classical mechanics | classical mechanics | computational classical mechanics | computational classical mechanics | structure and interpretation of classical mechanics | structure and interpretation of classical mechanics | phase space | phase space | lagrangian | lagrangian | action | action | variational principles | variational principles | equation of motion | equation of motion | hamilton principle | hamilton principle | rigid bodies | rigid bodies | Hamiltonian | Hamiltonian | canonical equations | canonical equations | surfaces of section | surfaces of section | canonical transformations | canonical transformations | liouville | liouville | Poincare | Poincare | birkhoff | birkhoff | kam theorem | kam theorem | invariant curves | invariant curves | resonance | resonance | chaos | chaos

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12.113 Structural Geology (MIT) 12.113 Structural Geology (MIT)

Description

Structural geology is the study of processes and products of rock deformation. This course introduces the techniques of structural geology through a survey of the mechanics of rock deformation, a survey of the features and geometries of faults and folds, and techniques of strain analysis. Regional structural geology and tectonics are introduced. Class lectures are supplemented by lab exercises and demonstrations as well as field trips to local outcrops. Structural geology is the study of processes and products of rock deformation. This course introduces the techniques of structural geology through a survey of the mechanics of rock deformation, a survey of the features and geometries of faults and folds, and techniques of strain analysis. Regional structural geology and tectonics are introduced. Class lectures are supplemented by lab exercises and demonstrations as well as field trips to local outcrops.

Subjects

rock deformation | rock deformation | faults | faults | structural geology | structural geology | folds | folds | superposed deformations | superposed deformations | regional geology | regional geology | tectonics | tectonics | structural analysis | structural analysis | geologic maps | geologic maps | interpretive cross sections | interpretive cross sections

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15.348 Doctoral Seminar in Research Methods II (MIT) 15.348 Doctoral Seminar in Research Methods II (MIT)

Description

A large proportion of contemporary research on organizations, strategy and management relies on quantitative research methods. This course is designed to provide an introduction to some of the most commonly used quantitative techniques, including logit/probit models, count models, event history models, and pooled cross-section techniques. A large proportion of contemporary research on organizations, strategy and management relies on quantitative research methods. This course is designed to provide an introduction to some of the most commonly used quantitative techniques, including logit/probit models, count models, event history models, and pooled cross-section techniques.

Subjects

contemporary research on organizations | contemporary research on organizations | strategy and management | strategy and management | quantitative research methods | quantitative research methods | quantitative techniques | quantitative techniques | including logit/probit models | including logit/probit models | count models | count models | event history models | event history models | pooled cross-section techniques | pooled cross-section techniques

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