| source MIT (X) |
level |
department Physics (X) |
8.01 Physics I ( ) Prereq: None Units: 3-2-7 Credit cannot also be received for 8.011 , 8.012 , 8.01L , 8.01T URL: http://web.mit.edu/8.01t/www Lecture: MW9-11,F9 ( 26-152 ) or MW11-1,F11 ( 26-152 ) or MW1-3,F1 ( 26-152 ) or MW3-5,F4 ( 26-152 ) or TR9-11,F10 ( 26-152 ) or TR11-1,F12 ( 26-152 ) or TR2-4,F3 ( 26-152 ) +final Introduces classical mechanics. Space and time: straight-line kinematics; motion in a plane; forces and static equilibrium; particle dynamics, with force and conservation of momentum; relative inertial frames and non-inertial force; work, potential energy and conservation of energy; kinetic theory and the ideal gas; rigid bodies and rotational dynamics; vibrational motion; conservation of angular momentum; central force motions; fluid mechanics. Subject taught using the TEAL (Technology-Enabled Active Learning) format which features students working in groups of three, discussing concepts, solving problems, and doing table-top experiments with the aid of computer data acquisition and analysis. T. Greytak
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8.011 Physics I ( ) Prereq: None Units: 5-0-7 Credit cannot also be received for 8.01 , 8.012 , 8.01L , 8.01T URL: http://web.mit.edu/8.011/www/index.html Introduces classical mechanics. Space and time: straight-line kinematics; motion in a plane; forces and equilibrium; experimental basis of Newton's laws; particle dynamics; universal gravitation; collisions and conservation laws; work and potential energy; vibrational motion; conservative forces; inertial forces and non-inertial frames; central force motions; rigid bodies and rotational dynamics. Designed for students with previous experience in 8.01; the subject is designated as 8.01 on the transcript. Staff
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8.012 Physics I ( ) Prereq: None Units: 5-0-7 Credit cannot also be received for 8.01 , 8.011 , 8.01L , 8.01T Limited enrollment. Lecture: TR9-10.30 ( 6-120 ) Lab: TBA Recitation: MW11 ( 26-168 ) or MW12 ( 26-168 ) or MW1 ( 26-314 , 26-168 ) or MW2 ( 26-314 , 26-168 ) or MW3 ( 26-314 , 26-168 ) +final Elementary mechanics, presented in greater depth than in 8.01. Newton's laws, concepts of momentum, energy, angular momentum, rigid body motion, and non-inertial systems. Uses elementary calculus freely; concurrent registration in a math subject more advanced than 18.01 is recommended. In addition to covering the theoretical subject matter, students complete a small experimental project of their own design. Freshmen admitted via AP or Math Diagnostic for Physics Placement results. M. Zwierlein
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8.01L Physics I ( ) Prereq: None Units: 3-2-7 Credit cannot also be received for 8.01 , 8.011 , 8.012 , 8.01T URL: http://web.mit.edu/8.01l/www/ Limited enrollment. Lecture: MWF9 ( 6-120 ) Lab: T11 ( 32-082 ) Recitation: MW1 ( 4-261 ) or TR10 ( 24-407 ) or TR11 ( 24-407 ) or TR2 ( 4-265 ) or TR3 ( 4-265 ) Introduction to classical mechanics (see description under 8.01). Includes components of the TEAL (Technology-Enabled Active Learning) format. Material covered over a longer interval so that the subject is completed by the end of the IAP. Substantial emphasis given to reviewing and strengthening necessary mathematics tools, as well as basic physics concepts and problem-solving skills. Content, depth, and difficulty is otherwise identical to that of 8.01. The subject is designated as 8.01 on the transcript. Enrollment limited to 100 students via lottery. P. Schechter
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8.02 Physics II ( , ) Prereq: Physics I (GIR) , Calculus I (GIR) Units: 3-2-7 Credit cannot also be received for 8.021 , 8.022 URL: http://mit.edu/8.02t/www/ Lecture: MW9-11,F9 ( 32-082 ) +final Introduction to electromagnetism and electrostatics: electric charge, Coulomb's law, electric structure of matter; conductors and dielectrics. Concepts of electrostatic field and potential, electrostatic energy. Electric currents, magnetic fields and Ampere's law. Magnetic materials. Time-varying fields and Faraday's law of induction. Basic electric circuits. Electromagnetic waves and Maxwell's equations. Subject taught using the TEAL (Technology Enabled Active Learning) studio format which utilizes small group interaction and current technology to help students develop intuition about, and conceptual models of, physical phenomena. Fall: E. Hudson Spring: Staff
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8.021 Physics II (New) ( ) Prereq: Physics I (GIR) , Calculus I (GIR) , permission of instructor Units: 5-0-7 Credit cannot also be received for 8.02 , 8.022 Lecture: MTW10 ( 26-302 ) or MTW11 ( 26-302 ) or MTW12 ( 26-302 ) Lab: F11 ( 32-155 ) Introduction to electromagnetism and electrostatics: electric charge, Coulomb's law, electric structure of matter; conductors and dielectrics. Concepts of electrostatic field and potential, electrostatic energy. Electric currents, magnetic fields and Ampere's law. Magnetic materials. Time-varying fields and Faraday's law of induction. Basic electric circuits. Electromagnetic waves and Maxwell's equations. Designed for students with previous experience in 8.02; the subject is designated as 8.02 on the transcript. Enrollment limited. G. Sciolla
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8.022 Physics II ( , ) Prereq: Physics I (GIR) , Coreq: Calculus II (GIR) Units: 5-0-7 Credit cannot also be received for 8.02 , 8.021 URL: http://web.mit.edu/8.022/www/ Lecture: TR2.30-4 ( 6-120 ) Lab: TBA Recitation: WF12 ( 26-322 ) or WF1 ( 26-322 ) or WF2 ( 26-322 ) or WF3 ( 26-322 ) +final Parallel to 8.02, but more advanced mathematically. Some knowledge of vector calculus assumed. Maxwell's equations, in both differential and integral form. Electrostatic and magnetic vector potential. Properties of dielectrics and magnetic materials. In addition to the theoretical subject matter, several experiments in electricity and magnetism are performed by the students in the laboratory. Fall: S. Rappaport Spring: Staff
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8.03 Physics III ( , ) Prereq: Calculus II (GIR) , Physics II (GIR) Units: 5-0-7 Lecture: MWF11 ( 6-120 ) Recitation: MW1 ( 24-307 ) or MW2 ( 24-307 ) or MW3 ( 24-307 ) or TR10 ( 24-307 ) or TR11 ( 24-307 ) or TR1 ( 24-307 ) +final Mechanical vibrations and waves; simple harmonic motion, superposition, forced vibrations and resonance, coupled oscillations, and normal modes; vibrations of continuous systems; reflection and refraction; phase and group velocity. Optics; wave solutions to Maxwell's equations; polarization; Snell's Law, interference, Huygens's principle, Fraunhofer diffraction, and gratings. Fall: N. Gedik Spring: Staff
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8.033 Relativity ( ) Prereq: Physics I (GIR) , Calculus II (GIR) Units: 5-0-7 Lecture: TR11-12.30 ( 6-120 ) Recitation: MW10 ( 24-402 ) or MW11 ( 24-402 ) or MW1 ( 24-402 ) +final Normally taken by Physics majors in their sophomore year. Einstein's postulates; consequences for simultaneity, time dilation, length contraction, and clock synchronization; Lorentz transformation; relativistic effects and paradoxes; Minkowski diagrams; invariants and four-vectors; momentum, energy, and mass; particle collisions. Relativity and electricity; Coulomb's law; magnetic fields. Brief introduction to Newtonian cosmology. Introduction to some concepts of general relativity; principle of equivalence. The Schwarzchild metric; gravitational red shift; particle and light trajectories; geodesics; Shapiro delay. T. Figueroa
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8.04 Quantum Physics I ( , ) Prereq: 8.03 or 6.014 ; 18.03 or 18.034 Units: 5-0-7 Lecture: TR10.30-12 ( 4-145 ) Recitation: MW11 ( 26-210 ) or MW12 ( 26-210 ) +final Experimental basis of quantum physics: photoelectric effect, Compton scattering, photons, Franck-Hertz experiment, the Bohr atom, electron diffraction, deBroglie waves, and wave-particle duality of matter and light. Introduction to wave mechanics: Schroedinger's equation, wave functions, wave packets, probability amplitudes, stationary states, the Heisenberg uncertainty principle, and zero-point energies. Solutions to Schroedinger's equation in one dimension: transmission and reflection at a barrier, barrier penetration, potential wells, the simple harmonic oscillator. Schroedinger's equation in three dimensions: central potentials and introduction to hydrogenic systems. Fall: P. Jarillo-Herrero Spring: Staff
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8.044 Statistical Physics I ( ) Prereq: 8.03 , 18.03 Units: 5-0-7 URL: http://web.mit.edu/8.044/www/ Introduction to probability, statistical mechanics, and thermodynamics. Random variables, joint and conditional probability densities, and functions of a random variable. Concepts of macroscopic variables and thermodynamic equilibrium, fundamental assumption of statistical mechanics, microcanonical and canonical ensembles. First, second, and third laws of thermodynamics. Numerous examples illustrating a wide variety of physical phenomena such as magnetism, polyatomic gases, thermal radiation, electrons in solids, and noise in electronic devices. Concurrent enrollment in 8.04 is recommended. Staff
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8.05 Quantum Physics II ( ) Prereq: 8.04 Units: 5-0-7 URL: http://web.mit.edu/8.05/ Lecture: MW12.30-2 ( 6-120 ) Recitation: TR10 ( 26-168 ) or TR1 ( 12-122 ) or TR2 ( 12-122 ) +final Together 8.05 and 8.06 cover quantum physics with applications drawn from modern physics. General formalism of quantum mechanics: states, operators, Dirac notation, representations, measurement theory. Harmonic oscillator: operator algebra, states. Quantum mechanics in three-dimensions: central potentials and the radial equation, bound and scattering states, qualitative analysis of wavefunctions. Angular momentum: operators, commutator algebra, eigenvalues and eigenstates, spherical harmonics. Spin: Stern-Gerlach devices and measurements, nuclear magnetic resonance, spin and statistics. Addition of angular momentum: Clebsch-Gordan series and coefficients, spin systems, and allotropic forms of hydrogen. J. Negele
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8.06 Quantum Physics III ( ) Prereq: 8.05 Units: 5-0-7 URL: http://mit.edu/8.06/www Continuation of 8.05. Units: natural units, scales of microscopic phenomena, applications. Time-independent approximation methods: degenerate and nondegenerate perturbation theory, variational method, Born-Oppenheimer approximation, applications to atomic and molecular systems. The structure of one- and two-electron atoms: overview, spin-orbit and relativistic corrections, fine structure, variational approximation, screening, Zeeman and Stark effects. Charged particles in a magnetic field: Landau levels and integer quantum hall effect. Scattering: general principles, partial waves, review of one-dimension, low-energy approximations, resonance, Born approximation. Time-dependent perturbation theory. Students research and write a paper on a topic related to the content of 8.05 and 8.06. Staff
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8.07 Electromagnetism II ( ) Prereq: 8.03 , 18.03 Units: 4-0-8 Lecture: MWF3 ( 6-120 ) Recitation: R3 ( 24-115 ) or R4 ( 24-115 ) +final Survey of basic electromagnetic phenomena: electrostatics, magnetostatics; electromagnetic properties of matter. Time-dependent electromagnetic fields and Maxwell's equations. Electromagnetic waves, emission, absorption, and scattering of radiation. Relativistic electrodynamics and mechanics. J. Belcher
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8.08 Statistical Physics II ( ) Prereq: 8.044 , 8.05 Units: 4-0-8 URL: http://dao.mit.edu/8.08 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. Staff
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8.09 Classical Mechanics III ( ) Prereq: Physics I (GIR) Units: 4-0-8 URL: http://web.mit.edu/8.09/www Lecture: TR2.30-4 ( 4-270 ) Recitation: F1 ( 26-414 ) +final Formal introduction to classical mechanics, Euler-Lagrange equations, Hamilton's equations of motion used to describe central force motion, scattering, perturbation theory and Noether's theroem. Extension to continuous and relativistic systems and classical electrodynamics. B. Surrow
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8.18 Special Problems in Undergraduate Physics ( , , , ) Prereq: None Units arranged [P/D/F] TBA. Opportunity for undergraduates to engage in experimental or theoretical research under the supervision of a staff member. Specific approval required in each case. Consult D. E. Pritchard
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8.19 Readings in Physics ( , , , ) Prereq: None Units arranged [P/D/F] TBA. Supervised reading and library work. Choice of material and allotment of time according to individual needs. For students who want to do work not provided for in the regular subjects. Specific approval required in each case. Consult D. E. Pritchard
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8.20 Introduction to Special Relativity ( ) Prereq: Physics I (GIR) , Calculus I (GIR) Units: 2-0-7 URL: http://mit.edu/8.20/ Introduces the basic ideas and equations of Einstein's special theory of relativity. Topics include Lorentz transformations, length contraction and time dilation, four vectors, Lorentz invariants, relativistic energy and momentum, relativistic kinematics, Doppler shift, space-time diagrams, relativity paradoxes, and some concepts of general relativity. Intended for freshmen and sophomores. Not usable as a restricted elective by Physics majors. Credit cannot be received for 8.20 if credit for 8.033 is or has been received in the same or prior terms. S. Kowalski
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8.21 Physics of Energy ( ) Prereq: Physics II (GIR) , Calculus II (GIR) , Chemistry (GIR) Units: 5-0-7 URL: http://web.mit.edu/8.21/ Lecture: MWF11 ( 56-114 ) Recitation: T10 ( 4-265 ) or T1 ( 4-265 ) or R11 ( 2-131 ) or R2 ( 2-131 ) +final A comprehensive introduction to the fundamental physics of energy systems that emphasizes quantitative analysis. Focuses on the fundamental physical principles underlying energy processes and on the application of these principles to practical calculations. Applies mechanics and electromagnetism to energy systems; introduces and applies basic ideas from thermodynamics, quantum mechanics, and nuclear physics. Examines energy sources, conversion, transport, losses, storage, conservation, and end uses. Analyzes the physics of side effects, such as global warming and radiation hazards. Provides students with technical tools and perspective to evaluate energy choices quantitatively at both national policy and personal levels. R. L. Jaffe, W. Taylor
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8.22J Interactive Introduction to Nuclear Magnetic Resonance ( ) (Same subject as 22.920J ) Prereq: Calculus II (GIR) Units: 1-2-0 Interactive introduction to NMR presenting background in classical theory and instrumentation. Each lecture followed by lab experiments both to demonstrate ideas presented during the lecture and to familiarize students with state-of-the-art NMR instrumentation. Experiments cover topics ranging from spin dynamics to spectroscopy, and include both imaging and quantum information processing. D. G. Cory
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8.223 Classical Mechanics II ( ) Prereq: Physics I (GIR) , Calculus II (GIR) Units: 2-0-4 A broad, theoretical treatment of classical mechanics, useful in its own right for treating complex dynamical problems, but essential to understanding the foundations of quantum mechanics and statistical physics. Generalized coordinates, Lagrangian and Hamiltonian formulations, canonical transformations, and Poisson brackets. Applications to continuous media. The relativistic Lagrangian and Maxwell?s equations. P. Fisher
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8.224 Exploring Black Holes: General Relativity and Astrophysics ( ) Prereq: 8.033 or 8.20 Units: 3-0-9 Study of physical effects in the vicinity of a black hole as a basis for understanding general relativity, astrophysics, and elements of cosmology. Extension to current developments in theory and observation. Energy and momentum in flat space-time; the metric; curvature of space-time near rotating and nonrotating centers of attraction; trajectories and orbits of particles and light; elementary models of the Cosmos. Weekly meetings include an evening seminar and recitation. The last third of the term is reserved for collaborative research projects on topics such as the Global Positioning System, solar system tests of relativity, descending into a black hole, gravitational lensing, gravitational waves, Gravity Probe B, and more advanced models of the cosmos. Subject has online components that are open to selected MIT alumni. Alumni wishing to participate should contact Professor Bertschinger at edbert@mit.edu. Enrollment limited to 40. E. Bertschinger
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8.225J Einstein, Oppenheimer, Feynman: Physics in the 20th Century ( ) (Same subject as STS.042J ) Prereq: None Units: 3-0-9 Explores the changing roles of physics and physicists during the 20th century. Topics range from relativity theory and quantum mechanics to high-energy physics and cosmology. Examines the development of modern physics within shifting institutional, cultural, and political contexts, such as physics in Imperial Britain, Nazi Germany, US efforts during World War II, and physicists' roles during the Cold War. Enrollment limited. D. I. Kaiser
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8.231 Physics of Solids I ( ) Prereq: 8.044 , Coreq: 8.05 Units: 4-0-8 URL: http://web.mit.edu/8.231/www/ Lecture: MW2.30-4 ( 2-151 ) Recitation: F3 ( 2-151 ) +final Introduction to the basic concepts of the quantum theory of solids. Topics: periodic structure and symmetry of crystals; diffraction; reciprocal lattice; chemical bonding; lattice dynamics, phonons, thermal properties; free electron gas; model of metals; Bloch theorem and band structure, nearly free electron approximation; tight binding method; Fermi surface; semiconductors, electrons, holes, impurities; optical properties, excitons; and magnetism. X. G. Wen
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