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

Description

14.461 is an advanced course in macroeconomics that seeks to bring students to the research frontier. The course is divided into two sections. The first half is taught by Prof. Iván Werning and covers topics such as how to formulate and solve optimal problems. Students will study fiscal and monetary policy, among other issues. The second half, taught by Prof. George-Marios Angeletos, covers recent work on multiple equilibria, global games, and informational fictions. 14.461 is an advanced course in macroeconomics that seeks to bring students to the research frontier. The course is divided into two sections. The first half is taught by Prof. Iván Werning and covers topics such as how to formulate and solve optimal problems. Students will study fiscal and monetary policy, among other issues. The second half, taught by Prof. George-Marios Angeletos, covers recent work on multiple equilibria, global games, and informational fictions.

Subjects

macroeconomics | macroeconomics | macroeconomic theory | macroeconomic theory | policy | policy | fiscal policy | fiscal policy | monetary policy | monetary policy | research | research | business cycles | business cycles | financial crisis | financial crisis | global games | global games | multiple equilibria | multiple equilibria | informational fictions | informational fictions

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22.615 MHD Theory of Fusion Systems (MIT) 22.615 MHD Theory of Fusion Systems (MIT)

Description

This course discusses MHD equilibria in cylindrical, toroidal, and noncircular tokamaks. It covers derivation of the basic MHD model from the Boltzmann equation, use of MHD equilibrium theory in poloidal field design, MHD stability theory including the Energy Principle, interchange instability, ballooning modes, second region of stability, and external kink modes. Emphasis is on discovering configurations capable of achieving good confinement at high beta. This course discusses MHD equilibria in cylindrical, toroidal, and noncircular tokamaks. It covers derivation of the basic MHD model from the Boltzmann equation, use of MHD equilibrium theory in poloidal field design, MHD stability theory including the Energy Principle, interchange instability, ballooning modes, second region of stability, and external kink modes. Emphasis is on discovering configurations capable of achieving good confinement at high beta.

Subjects

Magnetohydrodynamics | Magnetohydrodynamics | plasma | plasma | transport theory | transport theory | Boltzmann-Maxwell equations | Boltzmann-Maxwell equations | tokamaks | tokamaks | MHD equilibria | MHD equilibria | poloidal field design | poloidal field design | MHD stability theory | MHD stability theory | Energy Principle | Energy Principle | interchange instability | interchange instability | ballooning modes | ballooning modes | second region of stability | second region of stability | external kink modes | external kink modes | MHD instabilities | MHD instabilities

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14.126 Game Theory (MIT) 14.126 Game Theory (MIT)

Description

This course is a rigorous investigation of the evolutionary and epistemic foundations of solution concepts, such as rationalizability and Nash equilibrium. It covers classical topics, such as repeated games, bargaining, and supermodular games as well as new topics such as global games, heterogeneous priors, psychological games, and games without expected utility maximization. Applications are provided when available. This course is a rigorous investigation of the evolutionary and epistemic foundations of solution concepts, such as rationalizability and Nash equilibrium. It covers classical topics, such as repeated games, bargaining, and supermodular games as well as new topics such as global games, heterogeneous priors, psychological games, and games without expected utility maximization. Applications are provided when available.

Subjects

extensive-form games | extensive-form games | Nash equilibria | Nash equilibria | evolutionary equilibria | evolutionary equilibria | bargaining with incomplete information | bargaining with incomplete information | rationalizability | rationalizability | non-cooperative games | non-cooperative games

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3.012 Fundamentals of Materials Science (MIT) 3.012 Fundamentals of Materials Science (MIT)

Description

This course focuses on the fundamentals of structure, energetics, and bonding that underpin materials science. It is the introductory lecture class for sophomore students in Materials Science and Engineering, taken with 3.014 and 3.016 to create a unified introduction to the subject. Topics include: an introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to atomistic and molecular models of materials; the role of electronic bonding in determining the energy, structure, and stability of materials; quantum mechanical descriptions of interacting electrons and atoms; materials phenomena, such as heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism; symmetry properties of molecules and s This course focuses on the fundamentals of structure, energetics, and bonding that underpin materials science. It is the introductory lecture class for sophomore students in Materials Science and Engineering, taken with 3.014 and 3.016 to create a unified introduction to the subject. Topics include: an introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to atomistic and molecular models of materials; the role of electronic bonding in determining the energy, structure, and stability of materials; quantum mechanical descriptions of interacting electrons and atoms; materials phenomena, such as heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism; symmetry properties of molecules and s

Subjects

bonding | bonding | energetics | energetics | structure | structure | antibonding | antibonding | hydrogen | hydrogen | Quantum mechanics | Quantum mechanics | electron | electron | atom | atom | molecule | molecule | molecular dynamics | molecular dynamics | MD | MD | Symmetry properties | Symmetry properties | solid | solid | gas | gas | liquid | liquid | phase | phase | matter; molecular geometry | matter; molecular geometry | complex and disordered materials | complex and disordered materials | thermodynamics | thermodynamics | equilibrium property | equilibrium property | macroscopic behavior | macroscopic behavior | molecular model | molecular model | heat capacity | heat capacity | phase transformation | phase transformation | multiphase equilibria | multiphase equilibria | chemical reaction | chemical reaction | magnetism | magnetism | engineered alloy | engineered alloy | electronic and magnetic material | electronic and magnetic material | ionic solid | ionic solid | network solid | network solid | polymer | polymer | biomaterial | biomaterial | glass | glass | liquid crystal | liquid crystal | LCD | LCD | matter | matter | molecular geometry | molecular geometry

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3.00 Thermodynamics of Materials (MIT) 3.00 Thermodynamics of Materials (MIT)

Description

Treatment of the laws of thermodynamics and their applications to equilibrium and the properties of materials. Provides a foundation to treat general phenomena in materials science and engineering, including chemical reactions, magnetism, polarizability, and elasticity. Develops relations pertaining to multiphase equilibria as determined by a treatment of solution thermodynamics. Develops graphical constructions that are essential for the interpretation of phase diagrams. Treatment includes electrochemical equilibria and surface thermodynamics. Introduces aspects of statistical thermodynamics as they relate to macroscopic equilibrium phenomena. Treatment of the laws of thermodynamics and their applications to equilibrium and the properties of materials. Provides a foundation to treat general phenomena in materials science and engineering, including chemical reactions, magnetism, polarizability, and elasticity. Develops relations pertaining to multiphase equilibria as determined by a treatment of solution thermodynamics. Develops graphical constructions that are essential for the interpretation of phase diagrams. Treatment includes electrochemical equilibria and surface thermodynamics. Introduces aspects of statistical thermodynamics as they relate to macroscopic equilibrium phenomena.

Subjects

thermodynamics | | thermodynamics | | First Law | | First Law | | Second Law | | Second Law | | Third Law | | Third Law | | entropy | | entropy | | state function | | state function | | Zeroth Law | | Zeroth Law | | ideal gas | | ideal gas | | phase transformation | | phase transformation | | equilibrium condition | | equilibrium condition | | Gibbs-Duhem Equation | | Gibbs-Duhem Equation | | chemical potential | chemical potential

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12.480 Thermodynamics for Geoscientists (MIT) 12.480 Thermodynamics for Geoscientists (MIT)

Description

Principles of thermodynamics are used to infer the physical conditions of formation and modification of igneous and metamorphic rocks. It includes phase equilibria of homogeneous and heterogeneous systems and thermodynamic modelling of non-ideal crystalline solutions. It also surveys the processes that lead to the formation of metamorphic and igneous rocks in the major tectonic environments in the Earth's crust and mantle. Principles of thermodynamics are used to infer the physical conditions of formation and modification of igneous and metamorphic rocks. It includes phase equilibria of homogeneous and heterogeneous systems and thermodynamic modelling of non-ideal crystalline solutions. It also surveys the processes that lead to the formation of metamorphic and igneous rocks in the major tectonic environments in the Earth's crust and mantle.

Subjects

Principles of thermodynamics | Principles of thermodynamics | formation and modification of igneous and metamorphic rocks | formation and modification of igneous and metamorphic rocks | phase equilibria of homogeneous and heterogeneous systems | phase equilibria of homogeneous and heterogeneous systems | thermodynamic modelling of non-ideal crystalline solutions | thermodynamic modelling of non-ideal crystalline solutions | tectonic environments | tectonic environments | crust | crust | mantle | mantle | Ideal Solutions | Ideal Solutions | Non-ideal Solutions | Non-ideal Solutions | Pyroxene Thermometry | Pyroxene Thermometry | Plagioclase Feldspars Solution Models | Plagioclase Feldspars Solution Models | Alkali Feldspars Solution Models | Alkali Feldspars Solution Models | Multi-site Mineral Solutions | Multi-site Mineral Solutions | Homogeneous Equilibria | Homogeneous Equilibria | Quad | Quad | Spinels | Spinels | Rhombohedral Oxides | Rhombohedral Oxides | T-?O2 Relations | T-?O2 Relations | Heterogeneous Equilibria | Heterogeneous Equilibria | Multi-Component Systems | Multi-Component Systems | Liquidus Diagrams | Liquidus Diagrams | Schreinemaker's Analysis | Schreinemaker's Analysis | Composition Space | Composition Space | Gibbs Method | Gibbs Method | Silicate Melts | Silicate Melts | Mixed Volatile Equilibria P-T-XCO2-XH2O | Mixed Volatile Equilibria P-T-XCO2-XH2O | thermodynamic models | thermodynamic models | thermodynamics | thermodynamics

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14.462 Advanced Macroeconomics II (MIT) 14.462 Advanced Macroeconomics II (MIT)

Description

14.462 is the second semester of the second-year Ph.D. macroeconomics sequence. The course is intended to introduce the students, not only to particular areas of current research, but also to some very useful analytical tools. It covers a selection of topics that varies from year to year. Recent topics include: Growth and Fluctuations Heterogeneity and Incomplete Markets Optimal Fiscal Policy Time Inconsistency Reputation Coordination Games and Macroeconomic Complementarities Information 14.462 is the second semester of the second-year Ph.D. macroeconomics sequence. The course is intended to introduce the students, not only to particular areas of current research, but also to some very useful analytical tools. It covers a selection of topics that varies from year to year. Recent topics include: Growth and Fluctuations Heterogeneity and Incomplete Markets Optimal Fiscal Policy Time Inconsistency Reputation Coordination Games and Macroeconomic Complementarities Information

Subjects

macroeconomics research; analytical tools; analysis; endogenous growth; coordintation; incomplete markets; technolgy; distribution; employment; intellectual property rights; bounded rationality; demographics; complementarities; amplification; recursive equilibria; uncertainty; morris; shin; global games; policy; price; aggregation; social learning; dynamic adjustment; business cycle; heterogeneous agents; savings; utility; aiyagari; steady state; krusell; smith; idiosyncratic investment risk | macroeconomics research; analytical tools; analysis; endogenous growth; coordintation; incomplete markets; technolgy; distribution; employment; intellectual property rights; bounded rationality; demographics; complementarities; amplification; recursive equilibria; uncertainty; morris; shin; global games; policy; price; aggregation; social learning; dynamic adjustment; business cycle; heterogeneous agents; savings; utility; aiyagari; steady state; krusell; smith; idiosyncratic investment risk | macroeconomics research | macroeconomics research | analytical tools | analytical tools | analysis | analysis | endogenous growth | endogenous growth | coordintation | coordintation | incomplete markets | incomplete markets | technolgy | technolgy | distribution | distribution | employment | employment | intellectual property rights | intellectual property rights | bounded rationality | bounded rationality | demographics | demographics | complementarities | complementarities | amplification | amplification | recursive equilibria | recursive equilibria | uncertainty | uncertainty | morris | morris | shin | shin | global games | global games | policy | policy | price | price | aggregation | aggregation | social learning | social learning | dynamic adjustment | dynamic adjustment | business cycle | business cycle | heterogeneous agents | heterogeneous agents | savings | savings | utility | utility | aiyagari | aiyagari | steady state | steady state | krusell | krusell | smith | smith | idiosyncratic investment risk | idiosyncratic investment risk | growth | growth | fluctuations | fluctuations | heterogeneity | heterogeneity | optimal fiscal policy | optimal fiscal policy | time inconsistency | time inconsistency | reputation | reputation | information | information | coordination games | coordination games

License

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3.012 Fundamentals of Materials Science (MIT) 3.012 Fundamentals of Materials Science (MIT)

Description

This subject describes the fundamentals of bonding, energetics, and structure that underpin materials science. From electrons to silicon to DNA: the role of electronic bonding in determining the energy, structure, and stability of materials. Quantum mechanical descriptions of interacting electrons and atoms. Symmetry properties of molecules and solids. Structure of complex and disordered materials. Introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to molecular models of materials. Develops basis for understanding a broad range of materials phenomena, from heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism. Fundamentals are taught using real-world examples such as engineered all This subject describes the fundamentals of bonding, energetics, and structure that underpin materials science. From electrons to silicon to DNA: the role of electronic bonding in determining the energy, structure, and stability of materials. Quantum mechanical descriptions of interacting electrons and atoms. Symmetry properties of molecules and solids. Structure of complex and disordered materials. Introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to molecular models of materials. Develops basis for understanding a broad range of materials phenomena, from heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism. Fundamentals are taught using real-world examples such as engineered all

Subjects

fundamentals of bonding | energetics | and structure | fundamentals of bonding | energetics | and structure | Quantum mechanical descriptions of interacting electrons and atoms | Quantum mechanical descriptions of interacting electrons and atoms | Symmetry properties of molecules and solids | Symmetry properties of molecules and solids | complex and disordered materials | complex and disordered materials | thermodynamic functions | thermodynamic functions | equilibrium properties | equilibrium properties | macroscopic behavior | macroscopic behavior | molecular models | molecular models | heat capacities | heat capacities | phase transformations | phase transformations | multiphase equilibria | multiphase equilibria | chemical reactions | chemical reactions | magnetism | magnetism | engineered alloys | engineered alloys | electronic and magnetic materials | electronic and magnetic materials | ionic and network solids | ionic and network solids | polymers | polymers | biomaterials | biomaterials | energetics | energetics | structure | structure | materials science | materials science | electrons | electrons | silicon | silicon | DNA | DNA | electronic bonding | electronic bonding | energy | energy | stability | stability | quantum mechanics | quantum mechanics | atoms | atoms | interactions | interactions | symmetry | symmetry | molecules | molecules | solids | solids | complex material | complex material | disorderd materials | disorderd materials | thermodynamic laws | thermodynamic laws | electronic materials | electronic materials | magnetic materials | magnetic materials | ionic solids | ionic solids | network solids | network solids | statistical mechanics | statistical mechanics | microstates | microstates | microscopic complexity | microscopic complexity | entropy | entropy

License

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Lecture 18: Phase equilibria — one component Lecture 18: Phase equilibria — one component

Description

Topics covered: Phase equilibria — one componentInstructor/speaker: Moungi Bawendi, Keith Nelson Transcript: PDFSubtitles: SRTThumbnail - JPG (OCW)Video - download: Internet Archive (MP4)Video - download: iTunes U (MP4)Video - stream: VideoLectures.net Video - stream: YouTube (CC BY-NC-SA) Topics covered: Phase equilibria — one componentInstructor/speaker: Moungi Bawendi, Keith Nelson Transcript: PDFSubtitles: SRTThumbnail - JPG (OCW)Video - download: Internet Archive (MP4)Video - download: iTunes U (MP4)Video - stream: VideoLectures.net Video - stream: YouTube (CC BY-NC-SA)

Subjects

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10.32 Separation Processes (MIT) 10.32 Separation Processes (MIT)

Description

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

Subjects

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

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Lecture 20: Phase equilibria — two components Lecture 20: Phase equilibria — two components

Description

Topics covered: Phase equilibria — two componentsInstructor/speaker: Moungi Bawendi, Keith Nelson Transcript: PDFSubtitles: SRTThumbnail - JPG (OCW)Video - download: Internet Archive (MP4)Video - download: iTunes U (MP4)Video - stream: VideoLectures.net Video - stream: YouTube (CC BY-NC-SA) Topics covered: Phase equilibria — two componentsInstructor/speaker: Moungi Bawendi, Keith Nelson Transcript: PDFSubtitles: SRTThumbnail - JPG (OCW)Video - download: Internet Archive (MP4)Video - download: iTunes U (MP4)Video - stream: VideoLectures.net Video - stream: YouTube (CC BY-NC-SA)

Subjects

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10.40 Chemical Engineering Thermodynamics (MIT) 10.40 Chemical Engineering Thermodynamics (MIT)

Description

This course aims to connect the principles, concepts, and laws/postulates of classical and statistical thermodynamics to applications that require quantitative knowledge of thermodynamic properties from a macroscopic to a molecular level. It covers their basic postulates of classical thermodynamics and their application to transient open and closed systems, criteria of stability and equilibria, as well as constitutive property models of pure materials and mixtures emphasizing molecular-level effects using the formalism of statistical mechanics. Phase and chemical equilibria of multicomponent systems are covered. Applications are emphasized through extensive problem work relating to practical cases. This course aims to connect the principles, concepts, and laws/postulates of classical and statistical thermodynamics to applications that require quantitative knowledge of thermodynamic properties from a macroscopic to a molecular level. It covers their basic postulates of classical thermodynamics and their application to transient open and closed systems, criteria of stability and equilibria, as well as constitutive property models of pure materials and mixtures emphasizing molecular-level effects using the formalism of statistical mechanics. Phase and chemical equilibria of multicomponent systems are covered. Applications are emphasized through extensive problem work relating to practical cases.

Subjects

thermodynamics | thermodynamics | first law | first law | second law | second law | entropy | entropy | Carnot | Carnot | Gibbs | Gibbs | energy | energy | free energy | free energy | equilibrium | equilibrium | ideal gas | ideal gas | statistical mechanics | statistical mechanics | ensemble | ensemble | Hamiltonian | Hamiltonian | fugacity | fugacity | fluids | fluids | phase | phase | stability | stability

License

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Lecture 29: Applications: chemical and phase equilibria Lecture 29: Applications: chemical and phase equilibria

Description

Topics covered: Applications: chemical and phase equilibriaInstructor/speaker: Moungi Bawendi, Keith NelsonTranscript: PDFSubtitles: SRTThumbnail - JPG (OCW)Video - download: Internet Archive (MP4)Video - download: iTunes U (MP4)Video - stream: VideoLectures.net Video - stream: YouTube (CC BY-NC-SA) Topics covered: Applications: chemical and phase equilibriaInstructor/speaker: Moungi Bawendi, Keith NelsonTranscript: PDFSubtitles: SRTThumbnail - JPG (OCW)Video - download: Internet Archive (MP4)Video - download: iTunes U (MP4)Video - stream: VideoLectures.net Video - stream: YouTube (CC BY-NC-SA)

Subjects

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6.243J Dynamics of Nonlinear Systems (MIT) 6.243J Dynamics of Nonlinear Systems (MIT)

Description

This course provides an introduction to nonlinear deterministic dynamical systems. Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems. This course provides an introduction to nonlinear deterministic dynamical systems. Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

Subjects

nonlinear systems | nonlinear systems | deterministic dynamical systems | deterministic dynamical systems | ordinary differential equations | ordinary differential equations | planar autonomous systems | planar autonomous systems | Picard iteration | Picard iteration | contraction mapping theorem | contraction mapping theorem | Bellman-Gronwall lemma | Bellman-Gronwall lemma | Lyapunov methods | Lyapunov methods | feedback linearization | feedback linearization | nonlinear circuits | nonlinear circuits | control systems | control systems | local controllability | local controllability | volume evolution | volume evolution | system analysis | system analysis | singular perturbations | singular perturbations | averaging | averaging | local behavior | local behavior | trajectories | trajectories | equilibria | equilibria | storage functions | storage functions | stability analysis | stability analysis | continuity | continuity | differential equations | differential equations | system models | system models | parameters | parameters | input/output | input/output | state-space | state-space | 16.337 | 16.337

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12.480 Thermodynamics for Geoscientists (MIT) 12.480 Thermodynamics for Geoscientists (MIT)

Description

In this course, principles of thermodynamics are used to infer the physical conditions of formation and modification of igneous and metamorphic rocks. The course includes phase equilibria of homogeneous and heterogeneous systems and thermodynamic modeling of non-ideal crystalline solutions. It also surveys the processes that lead to the formation of metamorphic and igneous rocks in the major tectonic environments in the Earth's crust and mantle. In this course, principles of thermodynamics are used to infer the physical conditions of formation and modification of igneous and metamorphic rocks. The course includes phase equilibria of homogeneous and heterogeneous systems and thermodynamic modeling of non-ideal crystalline solutions. It also surveys the processes that lead to the formation of metamorphic and igneous rocks in the major tectonic environments in the Earth's crust and mantle.

Subjects

Principles of thermodynamics | Principles of thermodynamics | formation and modification of igneous and metamorphic rocks | formation and modification of igneous and metamorphic rocks | phase equilibria of homogeneous and heterogeneous systems | phase equilibria of homogeneous and heterogeneous systems | thermodynamic modelling of non-ideal crystalline solutions | thermodynamic modelling of non-ideal crystalline solutions | tectonic environments | tectonic environments | crust | crust | mantle | mantle | Ideal Solutions | Ideal Solutions | Non-ideal Solutions | Non-ideal Solutions | Pyroxene Thermometry | Pyroxene Thermometry | Plagioclase Feldspars Solution Models | Plagioclase Feldspars Solution Models | Alkali Feldspars Solution Models | Alkali Feldspars Solution Models | Multi-site Mineral Solutions | Multi-site Mineral Solutions | Homogeneous Equilibria | Homogeneous Equilibria | Quad | Quad | Spinels | Spinels | Rhombohedral Oxides | Rhombohedral Oxides | T-?O2 Relations | T-?O2 Relations | Heterogeneous Equilibria | Heterogeneous Equilibria | Multi-Component Systems | Multi-Component Systems | Liquidus Diagrams | Liquidus Diagrams | Schreinemaker's Analysis | Schreinemaker's Analysis | Composition Space | Composition Space | Gibbs Method | Gibbs Method | Silicate Melts | Silicate Melts | Mixed Volatile Equilibria P-T-XCO2-XH2O | Mixed Volatile Equilibria P-T-XCO2-XH2O | thermodynamic models | thermodynamic models | thermodynamics | thermodynamics

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8.08 Statistical Physics II (MIT) 8.08 Statistical Physics II (MIT)

Description

Probability distributions for classical and quantum systems. Microcanonical, canonical, and grand canonical partition-functions and associated thermodynamic potentials. Conditions of thermodynamic equilibrium for homogenous and heterogenous systems. Applications: non-interacting Bose and Fermi gases; mean field theories for real gases, binary mixtures, magnetic systems, polymer solutions; phase and reaction equilibria, critical phenomena. Fluctuations, correlation functions and susceptibilities, and Kubo formulae. Evolution of distribution functions: Boltzmann and Smoluchowski equations. Probability distributions for classical and quantum systems. Microcanonical, canonical, and grand canonical partition-functions and associated thermodynamic potentials. Conditions of thermodynamic equilibrium for homogenous and heterogenous systems. Applications: non-interacting Bose and Fermi gases; mean field theories for real gases, binary mixtures, magnetic systems, polymer solutions; phase and reaction equilibria, critical phenomena. Fluctuations, correlation functions and susceptibilities, and Kubo formulae. Evolution of distribution functions: Boltzmann and Smoluchowski equations.

Subjects

Probability distributions | Probability distributions | quantum systems | quantum systems | Microcanonical | Microcanonical | canonical | canonical | grand canonical partition-functions | grand canonical partition-functions | thermodynamic potentials | thermodynamic potentials | Conditions of thermodynamic equilibrium for homogenous and heterogenous systems | Conditions of thermodynamic equilibrium for homogenous and heterogenous systems | non-interacting Bose and Fermi gases | non-interacting Bose and Fermi gases | mean field theories for real gases | mean field theories for real gases | binary mixtures | binary mixtures | magnetic systems | magnetic systems | polymer solutions | polymer solutions | phase and reaction equilibria | phase and reaction equilibria | critical phenomena | critical phenomena | Fluctuations | Fluctuations | correlation functions and susceptibilities | correlation functions and susceptibilities | Kubo formulae | Kubo formulae | Evolution of distribution functions | Evolution of distribution functions | Boltzmann and Smoluchowski equations | Boltzmann and Smoluchowski equations | correlation functions | correlation functions | susceptibilities | susceptibilities

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14.126 Game Theory (MIT) 14.126 Game Theory (MIT)

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This course is a rigorous investigation of the evolutionary and epistemic foundations of solution concepts, such as rationalizability and Nash equilibrium. It covers classical topics, such as repeated games, bargaining, and supermodular games as well as new topics such as global games, heterogeneous priors, psychological games, and games without expected utility maximization. Applications are provided when available. This course is a rigorous investigation of the evolutionary and epistemic foundations of solution concepts, such as rationalizability and Nash equilibrium. It covers classical topics, such as repeated games, bargaining, and supermodular games as well as new topics such as global games, heterogeneous priors, psychological games, and games without expected utility maximization. Applications are provided when available.

Subjects

extensive-form games | extensive-form games | Nash equilibria | Nash equilibria | evolutionary equilibria | evolutionary equilibria | bargaining with incomplete information | bargaining with incomplete information | rationalizability | rationalizability | non-cooperative games | non-cooperative games

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General Chemistry 1C. Lecture 25. Chemical Kinetics Pt. 4.

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UCI Chem 1C General Chemistry (Spring 2013) Lec 25. General Chemistry -- Chemical Kinetics -- Part 4 View the complete course: http://ocw.uci.edu/courses/chem_1c_general_chemistry.html Instructor: Ramesh D. Arasasingham, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info. More courses at http://ocw.uci.edu Description: UCI Chem 1C is the third and final quarter of General Chemistry series and covers the following topics: equilibria, aqueous acid-base equilibria, solubility equilibria, oxidation reduction reactions, electrochemistry; kinetics; special topics. General Chemistry (Chem 1C) is part of OpenChem: http://ocw.uci.edu/collections/open_chemistry.html This video is part of a 26-lecture undergraduate-level course titled "General Chemistry" taught at UC Irvine by Ramesh D. Arasasingham, Ph.D. Recorded June 5, 2013. Index of Topics: 0:00:00 Brief Review of Rate Law 0:03:07 Reaction Mechanism 0:10:00 Molecularity 0:15:39 Intermediates 0:18:21 Speed of reaction 0:21:59 Overall Reaction Example 0:32:00 Kinetics and Chemical Equilibrium 0:36:54 Experimentally Measured Rate Law 0:44:26 Rate Law Example Given Experiment Concentrations Required attribution: Arasasingham, Ramesh D. Ph.D. General Chemistry 1C (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/chem_1c_general_chemistry.html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License (http://creativecommons.org/licenses/by-sa/3.0/us/deed.en_US)

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General Chemistry 1C. Lecture 26. Chemical Kinetics Pt. 5.

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UCI Chem 1C General Chemistry (Spring 2013) Lec 26. General Chemistry -- Chemical Kinetics -- Part 5 View the complete course: http://ocw.uci.edu/courses/chem_1c_general_chemistry.html Instructor: Ramesh D. Arasasingham, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info. More courses at http://ocw.uci.edu Description: UCI Chem 1C is the third and final quarter of General Chemistry series and covers the following topics: equilibria, aqueous acid-base equilibria, solubility equilibria, oxidation reduction reactions, electrochemistry; kinetics; special topics. General Chemistry (Chem 1C) is part of OpenChem: http://ocw.uci.edu/collections/open_chemistry.html This video is part of a 26-lecture undergraduate-level course titled "General Chemistry" taught at UC Irvine by Ramesh D. Arasasingham, Ph.D. Recorded June 7, 2013. Index of Topics: 0:00:00 Experimentally Measured Rate Law Review 0:03:02 Factors that Affect a Rate 0:09:43 Reaction Profile 0:14:13 More on Collision Theory 0:21:12 Arrhenius Equation Required attribution: Arasasingham, Ramesh D. Ph.D. General Chemistry 1C (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/chem_1c_general_chemistry.html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License (http://creativecommons.org/licenses/by-sa/3.0/us/deed.en_US)

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General Chemistry 1C. Lecture 22. Chemical Kinetics Pt. 1.

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UCI Chem 1C General Chemistry (Spring 2013) Lec 22. General Chemistry -- Chemical Kinetics -- Part 1 View the complete course: http://ocw.uci.edu/courses/chem_1c_general_chemistry.html Instructor: Ramesh D. Arasasingham, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info. More courses at http://ocw.uci.edu Description: UCI Chem 1C is the third and final quarter of General Chemistry series and covers the following topics: equilibria, aqueous acid-base equilibria, solubility equilibria, oxidation reduction reactions, electrochemistry; kinetics; special topics. General Chemistry (Chem 1C) is part of OpenChem: http://ocw.uci.edu/collections/open_chemistry.html This video is part of a 26-lecture undergraduate-level course titled "General Chemistry" taught at UC Irvine by Ramesh D. Arasasingham, Ph.D. Recorded May 29, 2013. Index of Topics: 0:00:00 Change in Free Energy Review 0:01:40 Intro to Chemical Kinetics 0:06:43 Defining Chemical Kinetics 0:09:57 Reaction Rate 0:15:02 Example of Reaction Rate 0:24:41 Average Rate of Concentration vs Time 0:34:13 Example of NO Gas Reaction Rate 0:40:08 Relationship Between Reaction Rates 0:47:57 Forward/Reverse Reactions Required attribution: Arasasingham, Ramesh D. Ph.D. General Chemistry 1C (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/chem_1c_general_chemistry.html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License (http://creativecommons.org/licenses/by-sa/3.0/us/deed.en_US)

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General Chemistry 1C. Lecture 23. Chemical Kinetics Pt. 2.

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UCI Chem 1C General Chemistry (Spring 2013) Lec 23. General Chemistry -- Chemical Kinetics -- Part 2 View the complete course: http://ocw.uci.edu/courses/chem_1c_general_chemistry.html Instructor: Ramesh D. Arasasingham, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info. More courses at http://ocw.uci.edu Description: UCI Chem 1C is the third and final quarter of General Chemistry series and covers the following topics: equilibria, aqueous acid-base equilibria, solubility equilibria, oxidation reduction reactions, electrochemistry; kinetics; special topics. General Chemistry (Chem 1C) is part of OpenChem: http://ocw.uci.edu/collections/open_chemistry.html This video is part of a 26-lecture undergraduate-level course titled "General Chemistry" taught at UC Irvine by Ramesh D. Arasasingham, Ph.D. Recorded on May 31, 2013. Index of Topics: 0:00:00 Review on Rates 0:04:02 Kinetic Rate Laws 0:08:57 Example Using N2O5 0:15:53 Determining Rate Law and Order for Reaction 0:28:16 Determing Rate Expression and Value of the Constant 0:42:56 Measuring Rate of Chemical Reaction with Graphs Required attribution: Arasasingham, Ramesh D. Ph.D. General Chemistry 1C (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/chem_1c_general_chemistry.html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License (http://creativecommons.org/licenses/by-sa/3.0/us/deed.en_US)

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General Chemistry 1C. Lecture 24. Chemical Kinetics Pt. 3.

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UCI Chem 1C General Chemistry (Spring 2013) Lec 24. General Chemistry -- Chemical Kinetics -- Part 3 View the complete course: http://ocw.uci.edu/courses/chem_1c_general_chemistry.html Instructor: Ramesh D. Arasasingham, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info. More courses at http://ocw.uci.edu Description: UCI Chem 1C is the third and final quarter of General Chemistry series and covers the following topics: equilibria, aqueous acid-base equilibria, solubility equilibria, oxidation reduction reactions, electrochemistry; kinetics; special topics. General Chemistry (Chem 1C) is part of OpenChem: http://ocw.uci.edu/collections/open_chemistry.html This video is part of a 26-lecture undergraduate-level course titled "General Chemistry" taught at UC Irvine by Ramesh D. Arasasingham, Ph.D. Recorded June 3, 2013. Index of Topics: 0:00:00 Integrated Rate Law Intro 0:02:48 First order Reaction for Integrated Rate Law 0:04:58 Half Life 0:10:22 Finding Rate Constant for First Order Reaction 0:18:05 Second Order Reaction 0:25:19 Finding Concentration if Given Initial Concentrations 0:31:06 Zero Order Reaction 0:40:47 Summary of Kinetic Reactions 0:43:49 Integrated Rate Laws for Reactions with More than One Reactant Required attribution: Arasasingham, Ramesh D. Ph.D. General Chemistry 1C (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/chem_1c_general_chemistry.html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License (http://creativecommons.org/licenses/by-sa/3.0/us/deed.en_US)

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General Chemistry 1C. Lecture 18. Electrochemistry Pt. 3.

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UCI Chem 1C General Chemistry (Spring 2013) Lec 18. General Chemistry -- Electrochemistry -- Part 3 View the complete course: http://ocw.uci.edu/courses/chem_1c_general_chemistry.html Instructor: Ramesh D. Arasasingham, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info. More courses at http://ocw.uci.edu Description: UCI Chem 1C is the third and final quarter of General Chemistry series and covers the following topics: equilibria, aqueous acid-base equilibria, solubility equilibria, oxidation reduction reactions, electrochemistry; kinetics; special topics. General Chemistry (Chem 1C) is part of OpenChem: http://ocw.uci.edu/collections/open_chemistry.html This video is part of a 26-lecture undergraduate-level course titled "General Chemistry" taught at UC Irvine by Ramesh D. Arasasingham, Ph.D. Recorded May 13, 2013. Index of Topics: 0:00:00 Review of Acidic/Basic Solutions 0:01:58 Spontaneous Electrochemistry Reactions 0:09:15 Galvanic (Voltaic) Cell 0:14:43 Example Using Batteries 0:21:53 Daniell Cell and Intro to Anode/Cathode 0:36:11 Electrodes 0:43:28 Shorthand notation for Cells Required attribution: Arasasingham, Ramesh D. Ph.D. General Chemistry 1C (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/chem_1c_general_chemistry.html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License (http://creativecommons.org/licenses/by-sa/3.0/us/deed.en_US)

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General Chemistry 1C. Lecture 19. Electrochemistry Pt. 4.

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UCI Chem 1C General Chemistry (Spring 2013) Lec 19. General Chemistry -- Electrochemistry -- Part 1 View the complete course: http://ocw.uci.edu/courses/chem_1c_general_chemistry.html Instructor: Ramesh D. Arasasingham, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info. More courses at http://ocw.uci.edu Description: UCI Chem 1C is the third and final quarter of General Chemistry series and covers the following topics: equilibria, aqueous acid-base equilibria, solubility equilibria, oxidation reduction reactions, electrochemistry; kinetics; special topics. General Chemistry (Chem 1C) is part of OpenChem: http://ocw.uci.edu/collections/open_chemistry.html This video is part of a 26-lecture undergraduate-level course titled "General Chemistry" taught at UC Irvine by Ramesh D. Arasasingham, Ph.D. Recorded May 15, 2013. Index of Topics: 0:00:00: Galvanic Cells/Daniel Cell Review 0:04:54 Hydrogen Electrode 0:07:54 Cell Notation Example 0:19:40 Cell Potential, Voltage, Electromotive Force 0:25:34 Cell Potential and Free Energy 0:33:48 Reaction of N2 and H2 0:38:45 If Reaction is under Standard Conditions 0:48:10 Standard Reduction Potentials Required attribution: Arasasingham, Ramesh D. Ph.D. General Chemistry 1C (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/chem_1c_general_chemistry.html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License (http://creativecommons.org/licenses/by-sa/3.0/us/deed.en_US)

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General Chemistry 1C. Lecture 20. Electrochemistry Pt. 5.

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UCI Chem 1C General Chemistry (Spring 2013) Lec 20. General Chemistry Electrochemistry, Part 5 View the complete course: http://ocw.uci.edu/courses/chem_1c_general_chemistry.html Instructor: Ramesh D. Arasasingham, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info. More courses at http://ocw.uci.edu Description: UCI Chem 1C is the third and final quarter of General Chemistry series and covers the following topics: equilibria, aqueous acid-base equilibria, solubility equilibria, oxidation reduction reactions, electrochemistry; kinetics; special topics. General Chemistry (Chem 1C) is part of OpenChem: http://ocw.uci.edu/collections/open_chemistry.html This video is part of a 26-lecture undergraduate-level course titled "General Chemistry" taught at UC Irvine by Ramesh D. Arasasingham, Ph.D. Recorded May 17, 2013. Index of Topics: 0:03:29 Review of Cell Potential 0:06:06 Standard Reduction Potential of Standard Electrode 0:13:15 Finding Cell Potential Example 0:26:13 Significance of Standard Reduction Potentials 0:38:02 Can Aqueous KMnO4 Oxidize Iron? 0:44:49 Standard Potentials and Equilibrium Constants Required attribution: Arasasingham, Ramesh D. Ph.D. General Chemistry 1C (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/chem_1c_general_chemistry.html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License (http://creativecommons.org/licenses/by-sa/3.0/us/deed.en_US)

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