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7.S931 | Special Subject in Biology | Covers material in various fields of biology not offered by the regular subjects of instruction. | true | Fall, Spring, Summer | Graduate | rranged [P/D/F] | Permission of instructor | null | false | false | false | False | False | False |
7.S932 | Special Subject in Biology | Covers material in various fields of biology not offered by the regular subjects of instruction. | true | Fall, IAP, Spring | Graduate | rranged [P/D/F] | Permission of instructor | null | false | false | false | False | False | False |
7.S939 | Special Subject in Biology | Covers material in various fields of biology not offered by the regular subjects of instruction. | true | Fall, IAP, Spring | Graduate | rranged | Permission of instructor | null | false | false | false | False | False | False |
7.THG | Graduate Biology Thesis | Program of research leading to the writing of a Ph.D. thesis; to be arranged by the student and an appropriate MIT faculty member. | true | Fall, IAP, Spring, Summer | Graduate | rranged | Permission of instructor | null | false | false | false | False | False | False |
8.006 | Exploring Physics Using Python (New) | Reviews and reinforces 6.100L topics, making connections and studying interesting physical systems (from abstract knowledge of concepts to modeling, coding, and evaluating results) that are relevant to physicists. Classes are active and interactive. Students apply programming skills to introductory physics problems and explore the role of simulations on physics. Limited to 12. | true | Fall, Spring | Undergraduate | 2-0-1 [P/D/F] | None. Coreq: 6.100L; or permission of instructor | null | false | false | false | False | False | False |
8.01 | Physics I | 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. | true | Fall | Undergraduate | 3-2-7 | null | null | false | false | false | Physics 1 | False | False |
8.011 | Physics I | 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. | true | Spring | Undergraduate | 5-0-7 | Permission of instructor | null | false | false | false | Physics 1 | False | False |
8.012 | Physics I | 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. First-year students admitted via AP or Math Diagnostic for Physics Placement results. | true | Fall | Undergraduate | 5-0-7 | null | null | false | false | false | Physics 1 | False | False |
8.01L | Physics I | 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. | true | Fall, IAP | Undergraduate | 3-2-7 | null | null | false | false | false | Physics 1 | False | False |
8.02 | Physics II | 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. | true | Fall, Spring | Undergraduate | 3-2-7 | Calculus I (GIR) and Physics I (GIR) | null | false | false | false | Physics 2 | False | False |
8.021 | Physics II | 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. | true | Fall | Undergraduate | 5-0-7 | Calculus I (GIR), Physics I (GIR), and permission of instructor | null | false | false | false | Physics 2 | False | False |
8.022 | Physics II | 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. | true | Fall, Spring | Undergraduate | 5-0-7 | Physics I (GIR); Coreq: Calculus II (GIR) | null | false | false | false | Physics 2 | False | False |
8.03 | Physics III | 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. | true | Fall, Spring | Undergraduate | 5-0-7 | Calculus II (GIR) and Physics II (GIR) | null | false | false | true | False | False | False |
8.033 | Relativity | 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. | true | Fall | Undergraduate | 5-0-7 | Calculus II (GIR) and Physics II (GIR) | null | false | false | true | False | False | False |
8.04 | Quantum Physics I | 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. | true | Spring | Undergraduate | 5-0-7 | 8.03 and (18.03 or 18.032) | null | false | false | true | False | False | False |
8.041 | Quantum Physics I | Blended version of 8.04 using a combination of online and in-person instruction. Covers the experimental basis of quantum physics: Mach-Zender interferometers, the photoelectric effect, Compton scattering, and de Broglie waves. Heisenberg uncertainty principle and momentum space. Introduction to wave mechanics: Schroedinger's equation, probability amplitudes, and wave packets. Stationary states and the spectrum of one-dimensional potentials, including the variational principle, the Hellmann-Feynman lemma, the virial theorem, and the harmonic oscillator. Basics of angular momentum, central potentials, and the hydrogen atom. Introduction to the Stern-Gerlach experiment, spin one-half, spin operators, and spin states. | true | Fall | Undergraduate | 2-0-10 | 8.03 and (18.03 or 18.032) | null | false | false | true | False | False | False |
8.044 | Statistical Physics I | 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. | true | Spring | Undergraduate | 5-0-7 | 8.03 and 18.03 | null | false | false | false | False | False | False |
8.05 | Quantum Physics II | Vector spaces, linear operators, and matrix representations. Inner products and adjoint operators. Commutator identities. Dirac's Bra-kets. Uncertainty principle and energy-time version. Spectral theorem and complete set of commuting observables. Schrodinger and Heisenberg pictures. Axioms of quantum mechanics. Coherent states and nuclear magnetic resonance. Multiparticle states and tensor products. Quantum teleportation, EPR and Bell inequalities. Angular momentum and central potentials. Addition of angular momentum. Density matrices, pure and mixed states, decoherence. | true | Fall | Undergraduate | 5-0-7 | 8.04 or 8.041 | null | false | false | false | False | False | False |
8.051 | Quantum Physics II | Blended version of 8.05 using a combination of online and in-person instruction. Together with 8.06 covers 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 wave functions. 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. Limited to 20. | true | Spring | Undergraduate | 2-0-10 | 8.04 and permission of instructor | null | false | false | false | False | False | False |
8.06 | Quantum Physics III | 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. | true | Spring | Undergraduate | 5-0-7 | 8.05 | null | false | false | false | False | False | False |
8.07 | Electromagnetism II | 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. | true | Fall | Undergraduate | 4-0-8 | 8.03 and 18.03 | null | false | false | false | False | False | False |
8.08 | Statistical Physics II | Introduction to stochastic dynamics, in and out of equilibrium, from single to many-body systems. Topics include: Langevin and Fokker Planck equations, Stochastic thermodynamics, Markov chains, and ratchet currents. Methods are illustrated on examples ranging from soft matter physics to biophysics including colloid dynamics, bacterial motion, and active matter. Applications outside physics are discussed, such as epidemic spreading and econophysics. | true | IAP | Undergraduate | 4-0-8 | 8.044 and 8.05 | null | false | false | false | False | False | False |
8.09 | Classical Mechanics III | Covers Lagrangian and Hamiltonian mechanics, systems with constraints, rigid body dynamics, vibrations, central forces, Hamilton-Jacobi theory, action-angle variables, perturbation theory, and continuous systems. Provides an introduction to ideal and viscous fluid mechanics, including turbulence, as well as an introduction to nonlinear dynamics, including chaos. Students taking graduate version complete different assignments. | true | Spring | Undergraduate | 4-0-8 | 8.223 | null | false | false | false | False | False | False |
8.10 | Exploring and Communicating Physics (and other) Frontiers | Features a series of 12 interactive sessions that span a wide variety of topics at the frontiers of science - e.g., quantum computing, dark matter, the nature of time - and encourage independent thinking. Discussions draw from the professor's published pieces in periodicals as well as short excerpts from his books. Also discusses, through case studies, the process of writing and re-writing. Subject can count toward the 6-unit discovery-focused credit limit for first year students. | true | Fall | Undergraduate | 2-0-0 [P/D/F] | null | null | false | false | false | False | False | False |
8.13 | Experimental Physics I | First in a two-term advanced laboratory sequence in modern physics focusing on the professional and personal development of the student as a scientist through the medium of experimental physics. Experimental options cover special relativity, experimental foundations of quantum mechanics, atomic structure and optics, statistical mechanics, and nuclear and particle physics. Uses modern physics experiments to develop laboratory technique, systematic troubleshooting, professional scientific attitude, data analysis skills and reasoning about uncertainty. Provides extensive training in oral and written communication methods. Limited to 12 students per section. | true | Fall, Spring | Undergraduate | 0-6-12 | 8.04 | null | true | false | false | False | False | False |
8.14 | Experimental Physics II | Second in a two-term advanced laboratory sequence in modern physics focusing on the professional and personal development of the student as a scientist through the medium of experimental physics. Experimental options cover special relativity, experimental foundations of quantum mechanics, atomic structure and optics, statistical mechanics, and nuclear and particle physics. Uses modern physics experiments to develop laboratory technique, systematic troubleshooting, professional scientific attitude, data analysis skills, and reasoning about uncertainty; provides extensive training in oral and written communication methods. Continues 8.13 practice in these skills using more advanced experiments and adds an exploratory project element in which students develop an experiment from the proposal and design stage to a final presentation of results in a poster session. Limited to 12 students per section. | true | Spring | Undergraduate | 0-6-12 | 8.05 and 8.13 | null | false | false | false | False | False | False |
8.16 | Data Science in Physics | Aims to present modern computational methods by providing realistic, contemporary examples of how these computational methods apply to physics research. Designed around research modules in which each module provides experience with a specific scientific challenge. Modules include: analyzing LIGO open data; measuring electroweak boson to quark decays; understanding the cosmic microwave background; and lattice QCD/Ising model. Experience in Python helpful but not required. Lectures are viewed outside of class; in-class time is dedicated to problem-solving and discussion. Students taking graduate version complete additional assignments. | true | Spring | Undergraduate | 3-0-9 | 8.04 and (6.100A, 6.100B, or permission of instructor) | null | false | false | false | False | False | False |
8.18 | Research Problems in Undergraduate Physics | Opportunity for undergraduates to engage in experimental or theoretical research under the supervision of a staff member. Specific approval required in each case. | true | Fall, IAP, Spring, Summer | Undergraduate | rranged [P/D/F] | Permission of instructor | null | false | false | false | False | False | False |
8.19 | Readings in Physics | 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. | true | Fall, IAP, Spring, Summer | Undergraduate | rranged [P/D/F] | null | null | false | false | false | False | False | False |
8.20 | Introduction to Special Relativity | 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. | true | IAP | Undergraduate | 2-0-7 | Calculus I (GIR) and Physics I (GIR) | null | false | false | true | False | False | False |
8.21 | Physics of Energy | 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. | true | Spring | Undergraduate | 5-0-7 | Calculus II (GIR), Chemistry (GIR), and Physics II (GIR) | null | false | false | true | False | False | False |
8.223 | Classical Mechanics II | 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. | true | IAP | Undergraduate | 2-0-4 | Calculus II (GIR) and Physics I (GIR) | null | false | false | false | False | False | False |
8.224 | Exploring Black Holes: General Relativity and Astrophysics | 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 [email protected]. Limited to 40. | true | Fall | Undergraduate | 3-0-9 | 8.033 or 8.20 | null | false | false | false | False | False | False |
8.225[J] | Einstein, Oppenheimer, Feynman: Physics in the 20th Century | 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. | true | Spring | Undergraduate | 3-0-9 | null | STS.042[J] | false | false | false | False | Humanities | False |
8.226 | Forty-three Orders of Magnitude | Examines the widespread societal implications of current scientific discoveries in physics across forty-three orders of magnitude in length scale. Addresses topics ranging from climate change to nuclear nonproliferation. Students develop their ability to express concepts at a level accessible to the public and to present a well-reasoned argument on a topic that is a part of the national debate. Requires diverse writing assignments, including substantial papers. Enrollment limited. | true | Spring | Undergraduate | 3-0-9 | (8.04 and 8.044) or permission of instructor | null | false | false | false | False | False | False |
8.228 | Relativity II | A fast-paced and intensive introduction to general relativity, covering advanced topics beyond the 8.033 curriculum. Provides students with a foundation for research relying on knowledge of general relativity, including gravitational waves and cosmology. Additional topics in curvature, weak gravity, and cosmology. | true | IAP | Undergraduate | 2-0-4 | 8.033 or permission of instructor | null | false | false | false | False | False | False |
8.231 | Physics of Solids I | 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. | true | Fall | Undergraduate | 4-0-8 | 8.044; Coreq: 8.05 | null | false | false | false | False | False | False |
8.241 | Introduction to Biological Physics | Introduces the main concepts of biological physics, with a focus on biophysical phenomena at the molecular and cellular scales. Presents the role of entropy and diffusive transport in living matter; challenges to life resulting from the highly viscous environment present at microscopic scales, including constraints on force, motion and transport within cells, tissues, and fluids; principles of how cellular machinery (e.g., molecular motors) can convert electro-chemical energy sources to mechanical forces and motion. Also covers polymer physics relevant to DNA and other biological polymers, including the study of configurations, fluctuations, rigidity, and entropic elasticity. Meets with 20.315 and 20.415 when offered concurrently. | true | Spring | Undergraduate | 4-0-8 | Physics II (GIR) and (8.044 or (5.601 and 5.602)) | null | false | false | false | False | False | False |
8.245[J] | Viruses, Pandemics, and Immunity | Covers the history of infectious diseases, basics of virology, immunology, and epidemiology, and ways in which diagnostic tests, vaccines, and antiviral therapies are currently designed and manufactured. Examines the origins of inequities in infection rates in society, and issues pertinent to vaccine safety. Final project explores how to create a more pandemic-resilient world. HST.438 intended for first-year students; all others should take HST.439. | true | Spring | Undergraduate | 2-0-1 | null | 5.003[J], 10.382[J], HST.439[J] | false | false | false | False | False | False |
8.251 | String Theory for Undergraduates | Introduction to the main concepts of string theory, i.e., quantum mechanics of a relativistic string. Develops aspects of string theory and makes it accessible to students familiar with basic electromagnetism and statistical mechanics, including the study of D-branes and string thermodynamics. Meets with 8.821 when offered concurrently. | true | Spring | Undergraduate | 4-0-8 | 8.033, 8.044, and 8.05 | null | false | false | false | False | False | False |
8.276 | Nuclear and Particle Physics | Presents a modern view of the fundamental structure of matter. Starting from the Standard Model, which views leptons and quarks as basic building blocks of matter, establishes the properties and interactions of these particles. Explores applications of this phenomenology to both particle and nuclear physics. Emphasizes current topics in nuclear and particle physics research at MIT. Intended for students with a basic knowledge of relativity and quantum physics concepts. | true | Spring | Undergraduate | 4-0-8 | 8.033 and 8.04 | null | false | false | false | False | False | False |
8.277 | Introduction to Particle Accelerators | Principles of acceleration: beam properties; linear accelerators, synchrotrons, and storage rings. Accelerator technologies: radio frequency cavities, bending and focusing magnets, beam diagnostics. Particle beam optics and dynamics. Special topics: measures of accelerators performance in science, medicine and industry; synchrotron radiation sources; free electron lasers; high-energy colliders; and accelerators for radiation therapy. May be repeated for credit for a maximum of 12 units. | true | Fall, IAP, Spring | Undergraduate | rranged | (6.2300 or 8.07) and permission of instructor | null | false | false | false | False | False | False |
8.282[J] | Introduction to Astronomy | Quantitative introduction to the physics of planets, stars, galaxies and our universe, from origin to ultimate fate, with emphasis on the physics tools and observational techniques that enable our understanding. Topics include our solar system, extrasolar planets; our Sun and other "normal" stars, star formation, evolution and death, supernovae, compact objects (white dwarfs, neutron stars, pulsars, stellar-mass black holes); galactic structure, star clusters, interstellar medium, dark matter; other galaxies, quasars, supermassive black holes, gravitational waves; cosmic large-scale structure, origin, evolution and fate of our universe, inflation, dark energy, cosmic microwave background radiation, gravitational lensing, 21cm tomography. Not usable as a restricted elective by Physics majors. | true | Spring | Undergraduate | 3-0-6 | Physics I (GIR) | 12.402[J] | false | false | true | False | False | False |
8.284 | Modern Astrophysics | Application of physics (Newtonian, statistical, and quantum mechanics; special and general relativity) to fundamental processes that occur in celestial objects. Includes main-sequence stars, collapsed stars (white dwarfs, neutron stars, and black holes), pulsars, galaxies, active galaxies, quasars, and cosmology. Electromagnetic and gravitational radiation signatures of astrophysical phenomena explored through examination of observational data. No prior knowledge of astronomy required. | true | Fall | Undergraduate | 3-0-9 | 8.04 | null | false | false | false | False | False | False |
8.286 | The Early Universe | Introduction to modern cosmology. First half deals with the development of the big bang theory from 1915 to 1980, and latter half with recent impact of particle theory. Topics: special relativity and the Doppler effect, Newtonian cosmological models, introduction to non-Euclidean spaces, thermal radiation and early history of the universe, big bang nucleosynthesis, introduction to grand unified theories and other recent developments in particle theory, baryogenesis, the inflationary universe model, and the evolution of galactic structure. | false | Fall | Undergraduate | 3-0-9 | Physics II (GIR) and 18.03 | null | false | false | true | False | False | False |
8.287[J] | Observational Techniques of Optical Astronomy | Fundamental physical and optical principles used for astronomical measurements at visible wavelengths and practical methods of astronomical observations. Topics: astronomical coordinates, time, optics, telescopes, photon counting, signal-to-noise ratios, data analysis (including least-squares model fitting), limitations imposed by the Earth's atmosphere on optical observations, CCD detectors, photometry, spectroscopy, astrometry, and time variability. Project at Wallace Astrophysical Observatory. Written and oral project reports. Limited to 18; preference to Course 8 and Course 12 majors and minors. | true | Fall | Undergraduate | 3-4-8 | 8.282, 12.409, or other introductory astronomy course | 12.410[J] | true | false | false | False | False | False |
8.290[J] | Extrasolar Planets: Physics and Detection Techniques | Presents basic principles of planet atmospheres and interiors applied to the study of extrasolar planets. Focuses on fundamental physical processes related to observable extrasolar planet properties. Provides a quantitative overview of detection techniques. Introduction to the feasibility of the search for Earth-like planets, biosignatures and habitable conditions on extrasolar planets. Students taking graduate version complete additional assignments. | true | Fall | Undergraduate | 3-0-9 | 8.03 and 18.03 | 12.425[J] | false | false | true | False | False | False |
8.292[J] | Fluid Physics | A physics-based introduction to the properties of fluids and fluid systems, with examples drawn from a broad range of sciences, including atmospheric physics and astrophysics. Definitions of fluids and the notion of continuum. Equations of state and continuity, hydrostatics and conservation of momentum; ideal fluids and Euler's equation; viscosity and the Navier-Stokes equation. Energy considerations, fluid thermodynamics, and isentropic flow. Compressible versus incompressible and rotational versus irrotational flow; Bernoulli's theorem; steady flow, streamlines and potential flow. Circulation and vorticity. Kelvin's theorem. Boundary layers. Fluid waves and instabilities. Quantum fluids. | true | Spring | Undergraduate | 3-0-9 | 5.60, 8.044, or permission of instructor | 1.066[J], 12.330[J] | false | false | false | False | False | False |
8.295 | Practical Experience in Physics | For Course 8 students participating in off-campus experiences in physics. Before registering for this subject, students must have an internship offer from a company or organization and must identify a Physics advisor. Upon completion of the project, student must submit a letter from the company or organization describing the work accomplished, along with a substantive final report from the student approved by the MIT advisor. Subject to departmental approval. Consult departmental academic office. | true | Fall, IAP, Spring, Summer | Undergraduate | 0-1-0 [P/D/F] | null | null | false | false | false | False | False | False |
8.298 | Selected Topics in Physics | Presentation of topics of current interest, with content varying from year to year. | true | Fall, IAP, Spring, Summer | Undergraduate | rranged | Permission of instructor | null | false | false | false | False | False | False |
8.299 | Physics Teaching | For qualified undergraduate students interested in gaining some experience in teaching. Laboratory, tutorial, or classroom teaching under the supervision of a faculty member. Students selected by interview. | true | Fall, Spring | Undergraduate | rranged [P/D/F] | null | null | false | false | false | False | False | False |
8.EPE | UPOP Engineering Practice Experience | Provides students with skills to prepare for and excel in the world of industry. Emphasizes practical application of career theory and professional development concepts. Introduces students to relevant and timely resources for career development, provides students with tools to embark on a successful internship search, and offers networking opportunities with employers and MIT alumni. Students work in groups, led by industry mentors, to improve their resumes and cover letters, interviewing skills, networking abilities, project management, and ability to give and receive feedback. Objective is for students to be able to adapt and contribute effectively to their future employment organizations. A total of two units of credit is awarded for completion of the fall and subsequent spring term offerings. Application required; consult UPOP website for more information. | true | Fall, IAP, Spring | Undergraduate | 0-0-1 [P/D/F] | null | null | false | false | false | False | False | False |
8.S014 | Special Subject: Physics (New) | Opportunity for group study of subjects in physics not otherwise included in the curriculum. | true | IAP | Undergraduate | 2-0-4 | null | null | false | false | false | False | False | False |
8.S02 | Special Subject: Physics | Opportunity for group study of subjects in physics not otherwise included in the curriculum. | true | Spring | Undergraduate | 1-0-2 [P/D/F] | null | null | false | false | false | False | False | False |
8.S198 | Special Subject: Physics (New) | Opportunity for group study of subjects in physics not otherwise included in the curriculum. | true | Spring | Undergraduate | rranged | null | null | false | false | false | False | False | False |
8.S199 | Special Subject: Physics (New) | Opportunity for group study of subjects in physics not otherwise included in the curriculum. | true | Fall, IAP, Spring | Undergraduate | rranged [P/D/F] | null | null | false | false | false | False | False | False |
8.S227 | Special Subject: Physics | Opportunity for group study of subjects in physics not otherwise included in the curriculum. | true | Fall | Undergraduate | 3-0-9 | null | null | false | false | false | False | False | False |
8.S271 | Special Subject: Physics | Opportunity for group study of subjects in physics not otherwise included in the curriculum. | true | Spring | Undergraduate | 2-0-4 | null | null | false | false | false | False | False | False |
8.S30 | Special Subject: Physics | Opportunity for group study of subjects in physics not otherwise included in the curriculum. | true | Fall | Undergraduate | rranged | null | null | false | false | false | False | False | False |
8.S50 | Special Subject: Physics | Opportunity for group study of subjects in physics not otherwise included in the curriculum. | true | IAP | Undergraduate | rranged [P/D/F] | null | null | false | false | false | False | False | False |
8.UR | Undergraduate Research | Research opportunities in physics. For further information, contact the departmental UROP coordinator. | true | Fall, IAP, Spring, Summer | Undergraduate | rranged [P/D/F] | null | null | false | false | false | False | False | False |
8.THU | Undergraduate Physics Thesis | Program of research leading to the writing of an S.B. thesis; to be arranged by the student under approved supervision. | true | Fall, IAP, Spring, Summer | Undergraduate | rranged | null | null | false | false | false | False | False | False |
8.309 | Classical Mechanics III | Covers Lagrangian and Hamiltonian mechanics, systems with constraints, rigid body dynamics, vibrations, central forces, Hamilton-Jacobi theory, action-angle variables, perturbation theory, and continuous systems. Provides an introduction to ideal and viscous fluid mechanics, including turbulence, as well as an introduction to nonlinear dynamics, including chaos. Students taking graduate version complete different assignments. | true | Spring | Graduate | 4-0-8 | null | null | false | false | false | False | False | False |
8.311 | Electromagnetic Theory I | Basic principles of electromagnetism: experimental basis, electrostatics, magnetic fields of steady currents, motional emf and electromagnetic induction, Maxwell's equations, propagation and radiation of electromagnetic waves, electric and magnetic properties of matter, and conservation laws. Subject uses appropriate mathematics but emphasizes physical phenomena and principles. | true | Spring | Graduate | 4-0-8 | 8.07 | null | false | false | false | False | False | False |
8.315[J] | Mathematical Methods in Nanophotonics | High-level approaches to understanding complex optical media, structured on the scale of the wavelength, that are not generally analytically soluable. The basis for understanding optical phenomena such as photonic crystals and band gaps, anomalous diffraction, mechanisms for optical confinement, optical fibers (new and old), nonlinearities, and integrated optical devices. Methods covered include linear algebra and eigensystems for Maxwell's equations, symmetry groups and representation theory, Bloch's theorem, numerical eigensolver methods, time and frequency-domain computation, perturbation theory, and coupled-mode theories. | true | Spring | Graduate | 3-0-9 | 8.07, 18.303, or permission of instructor | 18.369[J] | false | false | false | False | False | False |
8.316 | Data Science in Physics | Aims to present modern computational methods by providing realistic, contemporary examples of how these computational methods apply to physics research. Designed around research modules in which each module provides experience with a specific scientific challenge. Modules include: analyzing LIGO open data; measuring electroweak boson to quark decays; understanding the cosmic microwave background; and lattice QCD/Ising model. Experience in Python helpful but not required. Lectures are viewed outside of class; in-class time is dedicated to problem-solving and discussion. Students taking graduate version complete additional assignments. | true | Spring | Graduate | 3-0-9 | 8.04 and (6.100A, 6.100B, or permission of instructor) | null | false | false | false | False | False | False |
8.321 | Quantum Theory I | A two-term subject on quantum theory, stressing principles: uncertainty relation, observables, eigenstates, eigenvalues, probabilities of the results of measurement, transformation theory, equations of motion, and constants of motion. Symmetry in quantum mechanics, representations of symmetry groups. Variational and perturbation approximations. Systems of identical particles and applications. Time-dependent perturbation theory. Scattering theory: phase shifts, Born approximation. The quantum theory of radiation. Second quantization and many-body theory. Relativistic quantum mechanics of one electron. | true | Fall | Graduate | 4-0-8 | 8.05 | null | false | false | false | False | False | False |
8.322 | Quantum Theory II | A two-term subject on quantum theory, stressing principles: uncertainty relation, observables, eigenstates, eigenvalues, probabilities of the results of measurement, transformation theory, equations of motion, and constants of motion. Symmetry in quantum mechanics, representations of symmetry groups. Variational and perturbation approximations. Systems of identical particles and applications. Time-dependent perturbation theory. Scattering theory: phase shifts, Born approximation. The quantum theory of radiation. Second quantization and many-body theory. Relativistic quantum mechanics of one electron. | false | Spring | Graduate | 4-0-8 | 8.07 and 8.321 | null | false | false | false | False | False | False |
8.323 | Relativistic Quantum Field Theory I | A one-term self-contained subject in quantum field theory. Concepts and basic techniques are developed through applications in elementary particle physics, and condensed matter physics. Topics: classical field theory, symmetries, and Noether's theorem. Quantization of scalar fields, spin fields, and Gauge bosons. Feynman graphs, analytic properties of amplitudes and unitarity of the S-matrix. Calculations in quantum electrodynamics (QED). Introduction to renormalization. | true | Spring, Spring, Summer | Graduate | 4-0-8 | 8.321 | null | false | false | false | False | False | False |
8.324 | Relativistic Quantum Field Theory II | The second term of the quantum field theory sequence. Develops in depth some of the topics discussed in 8.323 and introduces some advanced material. Topics: perturbation theory and Feynman diagrams, scattering theory, Quantum Electrodynamics, one loop renormalization, quantization of non-abelian gauge theories, the Standard Model of particle physics, other topics. | true | Fall, Spring | Graduate | 4-0-8 | 8.322 and 8.323 | null | false | false | false | False | False | False |
8.325 | Relativistic Quantum Field Theory III | The third and last term of the quantum field theory sequence. Its aim is the proper theoretical discussion of the physics of the standard model. Topics: quantum chromodynamics; Higgs phenomenon and a description of the standard model; deep-inelastic scattering and structure functions; basics of lattice gauge theory; operator products and effective theories; detailed structure of the standard model; spontaneously broken gauge theory and its quantization; instantons and theta-vacua; topological defects; introduction to supersymmetry. | true | Spring | Graduate | 4-0-8 | 8.324 | null | false | false | false | False | False | False |
8.333 | Statistical Mechanics I | First part of a two-subject sequence on statistical mechanics. Examines the laws of thermodynamics and the concepts of temperature, work, heat, and entropy. Postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas. Quantum statistical mechanics; Fermi and Bose systems. Interacting systems: cluster expansions, van der Waal's gas, and mean-field theory. | true | Fall | Graduate | 4-0-8 | 8.044 and 8.05 | null | false | false | false | False | False | False |
8.334 | Statistical Mechanics II | Second part of a two-subject sequence on statistical mechanics. Explores topics from modern statistical mechanics: the hydrodynamic limit and classical field theories. Phase transitions and broken symmetries: universality, correlation functions, and scaling theory. The renormalization approach to collective phenomena. Dynamic critical behavior. Random systems. | true | Spring | Graduate | 4-0-8 | 8.333 | null | false | false | false | False | False | False |
8.351[J] | Classical Mechanics: A Computational Approach | Classical mechanics in a computational framework, Lagrangian formulation, action, variational principles, and Hamilton's principle. Conserved quantities, Hamiltonian formulation, surfaces of section, chaos, and Liouville's theorem. Poincaré integral invariants, Poincaré-Birkhoff and KAM theorems. Invariant curves and cantori. Nonlinear resonances, resonance overlap and transition to chaos. Symplectic integration. Adiabatic invariants. Applications to simple physical systems and solar system dynamics. Extensive use of computation to capture methods, for simulation, and for symbolic analysis. Programming experience required. | true | Fall | Graduate | 3-3-6 | Physics I (GIR), 18.03, and permission of instructor | 6.5160[J], 12.620[J] | false | false | false | False | False | False |
8.370[J] | Quantum Computation | Provides an introduction to the theory and practice of quantum computation. Topics covered: physics of information processing; quantum algorithms including the factoring algorithm and Grover's search algorithm; quantum error correction; quantum communication and cryptography. Knowledge of quantum mechanics helpful but not required. | true | Fall | Graduate | 3-0-9 | 8.05, 18.06, 18.700, 18.701, or 18.C06 | 2.111[J], 6.6410[J], 18.435[J] | false | false | false | False | False | False |
8.371[J] | Quantum Information Science | Examines quantum computation and quantum information. Topics include quantum circuits, the quantum Fourier transform and search algorithms, the quantum operations formalism, quantum error correction, Calderbank-Shor-Steane and stabilizer codes, fault tolerant quantum computation, quantum data compression, quantum entanglement, capacity of quantum channels, and quantum cryptography and the proof of its security. Prior knowledge of quantum mechanics required. | true | Spring | Graduate | 3-0-9 | 18.435 | 6.6420[J], 18.436[J] | false | false | false | False | False | False |
8.372 | Quantum Information Science III | Third subject in the Quantum Information Science (QIS) sequence, building on 8.370 and 8.371. Further explores core topics in quantum information science, such as quantum information theory, error-correction, physical implementations, algorithms, cryptography, and complexity. Draws connections between QIS and related fields, such as many-body physics, and applications such as sensing. | false | Fall | Graduate | 3-0-9 | 8.371 | null | false | false | false | False | False | False |
8.381, | 8.382 Selected Topics in Theoretical Physics | Topics of current interest in theoretical physics, varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. | true | Fall, Spring | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
8.391 | Pre-Thesis Research | Advanced problems in any area of experimental or theoretical physics, with assigned reading and consultations. | true | Fall | Graduate | rranged [P/D/F] | Permission of instructor | null | false | false | false | False | False | False |
8.392 | Pre-Thesis Research | Advanced problems in any area of experimental or theoretical physics, with assigned reading and consultations. | true | Spring, Summer | Graduate | rranged [P/D/F] | Permission of instructor | null | false | false | false | False | False | False |
8.395[J] | Teaching College-Level Science and Engineering | Participatory seminar focuses on the knowledge and skills necessary for teaching science and engineering in higher education. Topics include theories of adult learning; course development; promoting active learning, problemsolving, and critical thinking in students; communicating with a diverse student body; using educational technology to further learning; lecturing; creating effective tests and assignments; and assessment and evaluation. Students research and present a relevant topic of particular interest. Appropriate for both novices and those with teaching experience. | true | Fall | Graduate | 2-0-2 [P/D/F] | null | 1.95[J], 5.95[J], 7.59[J], 18.094[J] | false | false | false | False | False | False |
8.396[J] | Leadership and Professional Strategies & Skills Training (LEAPS), Part I: Advancing Your Professional Strategies and Skills | Part I (of two parts) of the LEAPS graduate career development and training series. Topics include: navigating and charting an academic career with confidence; convincing an audience with clear writing and arguments; mastering public speaking and communications; networking at conferences and building a brand; identifying transferable skills; preparing for a successful job application package and job interviews; understanding group dynamics and different leadership styles; leading a group or team with purpose and confidence. Postdocs encouraged to attend as non-registered participants. Limited to 80. | true | Spring | Graduate | 2-0-1 [P/D/F] | null | 5.961[J], 9.980[J], 12.396[J], 18.896[J] | false | false | false | False | False | False |
8.397[J] | Leadership and Professional Strategies & Skills Training (LEAPS), Part II: Developing Your Leadership Competencies | Part II (of two parts) of the LEAPS graduate career development and training series. Topics covered include gaining self awareness and awareness of others, and communicating with different personality types; learning about team building practices; strategies for recognizing and resolving conflict and bias; advocating for diversity and inclusion; becoming organizationally savvy; having the courage to be an ethical leader; coaching, mentoring, and developing others; championing, accepting, and implementing change. Postdocs encouraged to attend as non-registered participants. Limited to 80. | true | Spring | Graduate | 2-0-1 [P/D/F] | null | 5.962[J], 9.981[J], 12.397[J], 18.897[J] | false | false | false | False | False | False |
8.398 | Doctoral Seminar in Physics | A seminar for first-year PhD students presenting topics of current interest, with content varying from year to year. Open only to first-year graduate students in Physics. | true | Fall, Spring | Graduate | 1-0-2 [P/D/F] | null | null | false | false | false | False | False | False |
8.399 | Physics Teaching | For qualified graduate students interested in gaining some experience in teaching. Laboratory, tutorial, or classroom teaching under the supervision of a faculty member. Students selected by interview. | true | Fall, Spring | Graduate | rranged [P/D/F] | Permission of instructor | null | false | false | false | False | False | False |
8.421 | Atomic and Optical Physics I | The first of a two-term subject sequence that provides the foundations for contemporary research in selected areas of atomic and optical phsyics. The interaction of radiation with atoms: resonance; absorption, stimulated and spontaneous emission; methods of resonance, dressed atom formalism, masers and lasers, cavity quantum electrodynamics; structure of simple atoms, behavior in very strong fields; fundamental tests: time reversal, parity violations, Bell's inequalities; and experimental methods. | true | Spring | Graduate | 3-0-9 | 8.05 | null | false | false | false | False | False | False |
8.422 | Atomic and Optical Physics II | The second of a two-term subject sequence that provides the foundations for contemporary research in selected areas of atomic and optical physics. Non-classical states of light- squeezed states; multi-photon processes, Raman scattering; coherence- level crossings, quantum beats, double resonance, superradiance; trapping and cooling- light forces, laser cooling, atom optics, spectroscopy of trapped atoms and ions; atomic interactions- classical collisions, quantum scattering theory, ultracold collisions; and experimental methods. | true | Fall | Graduate | 3-0-9 | 8.05 | null | false | false | false | False | False | False |
8.431[J] | Nonlinear Optics | Techniques of nonlinear optics with emphasis on fundamentals for research in optics, photonics, spectroscopy, and ultrafast science. Topics include: electro-optic modulators and devices, sum and difference frequency generation, and parametric conversion. Nonlinear propagation effects in optical fibers including self-phase modulation, pulse compression, solitons, communication, and femtosecond fiber lasers. Review of quantum mechanics, interaction of light with matter, laser gain and operation, density matrix techniques, perturbation theory, diagrammatic methods, nonlinear spectroscopies, ultrafast lasers and measurements. Discussion of research operations and funding and professional development topics. Introduces fundamental methods and techniques needed for independent research in advanced optics and photonics, but useful in many other engineering and physics disciplines. | true | Spring | Graduate | 3-0-9 | 6.2300 or 8.03 | 6.6340[J] | false | false | false | False | False | False |
8.481, | 8.482 Selected Topics in Physics of Atoms and Radiation | Presentation of topics of current interest, with content varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. | true | Fall, Spring | Graduate | 3-0-9 | 8.321 | null | false | false | false | False | False | False |
8.511 | Theory of Solids I | First term of a theoretical treatment of the physics of solids. Concept of elementary excitations. Symmetry- translational, rotational, and time-reversal invariances- theory of representations. Energy bands- electrons and phonons. Topological band theory. Survey of electronic structure of metals, semimetals, semiconductors, and insulators, excitons, critical points, response functions, and interactions in the electron gas. Theory of superconductivity. | true | Fall, Fall | Graduate | 3-0-9 | 8.231 | null | false | false | false | False | False | False |
8.512 | Theory of Solids II | Second term of a theoretical treatment of the physics of solids. Interacting electron gas: many-body formulation, Feynman diagrams, random phase approximation and beyond. General theory of linear response: dielectric function; sum rules; plasmons; optical properties; applications to semiconductors, metals, and insulators. Transport properties: non-interacting electron gas with impurities, diffusons. Quantum Hall effect: integral and fractional. Electron-phonon interaction: general theory, applications to metals, semiconductors and insulators, polarons, and field-theory description. Superconductivity: experimental observations, phenomenological theories, and BCS theory. | true | Spring | Graduate | 3-0-9 | 8.511 | null | false | false | false | False | False | False |
8.513 | Many-Body Theory for Condensed Matter Systems | Concepts and physical pictures behind various phenomena that appear in interacting many-body systems. Visualization occurs through concentration on path integral, mean-field theories and semiclassical picture of fluctuations around mean-field state. Topics covered: interacting boson/fermion systems, Fermi liquid theory and bosonization, symmetry breaking and nonlinear sigma-model, quantum gauge theory, quantum Hall theory, mean-field theory of spin liquids and quantum order, string-net condensation and emergence of light and fermions. | false | Fall | Graduate | 3-0-9 | 8.033, 8.05, 8.08, and 8.231 | null | false | false | false | False | False | False |
8.514 | Strongly Correlated Systems in Condensed Matter Physics | Study of condensed matter systems where interactions between electrons play an important role. Topics vary depending on lecturer but may include low-dimension magnetic and electronic systems, disorder and quantum transport, magnetic impurities (the Kondo problem), quantum spin systems, the Hubbard model and high-temperature superconductors. Topics are chosen to illustrate the application of diagrammatic techniques, field-theory approaches, and renormalization group methods in condensed matter physics. | false | Spring | Graduate | 3-0-9 | 8.322 and 8.333 | null | false | false | false | False | False | False |
8.581, | 8.582 Selected Topics in Condensed Matter Physics | Presentation of topics of current interest, with contents varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. | true | Spring | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
8.590[J] | Topics in Biophysics and Physical Biology | Provides broad exposure to research in biophysics and physical biology, with emphasis on the critical evaluation of scientific literature. Weekly meetings include in-depth discussion of scientific literature led by distinct faculty on active research topics. Each session also includes brief discussion of non-research topics including effective presentation skills, writing papers and fellowship proposals, choosing scientific and technical research topics, time management, and scientific ethics. | true | Fall | Graduate | 2-0-4 [P/D/F] | null | 7.74[J], 20.416[J] | false | false | false | False | False | False |
8.591[J] | Systems Biology | Introduction to cellular and population-level systems biology with an emphasis on synthetic biology, modeling of genetic networks, cell-cell interactions, and evolutionary dynamics. Cellular systems include genetic switches and oscillators, network motifs, genetic network evolution, and cellular decision-making. Population-level systems include models of pattern formation, cell-cell communication, and evolutionary systems biology. Students taking graduate version explore the subject in more depth. | true | Fall | Graduate | 3-0-9 | (18.03 and 18.05) or permission of instructor | 7.81[J] | false | false | false | False | False | False |
8.592[J] | Statistical Physics in Biology | A survey of problems at the interface of statistical physics and modern biology: bioinformatic methods for extracting information content of DNA; gene finding, sequence comparison, phylogenetic trees. Physical interactions responsible for structure of biopolymers; DNA double helix, secondary structure of RNA, elements of protein folding. Considerations of force, motion, and packaging; protein motors, membranes. Collective behavior of biological elements; cellular networks, neural networks, and evolution. | false | Fall | Graduate | 3-0-9 | 8.333 or permission of instructor | HST.452[J] | false | false | false | False | False | False |
8.593[J] | Biological Physics | Designed to provide seniors and first-year graduate students with a quantitative, analytical understanding of selected biological phenomena. Topics include experimental and theoretical basis for the phase boundaries and equation of state of concentrated protein solutions, with application to diseases such as sickle cell anemia and cataract. Protein-ligand binding and linkage and the theory of allosteric regulation of protein function, with application to proteins as stores as transporters in respiration, enzymes in metabolic pathways, membrane receptors, regulators of gene expression, and self-assembling scaffolds. The physics of locomotion and chemoreception in bacteria and the biophysics of vision, including the theory of transparency of the eye, molecular basis of photo reception, and the detection of light as a signal-to-noise discrimination. | true | Spring | Graduate | 4-0-8 | 8.044 recommended but not necessary | HST.450[J] | false | false | false | False | False | False |
8.613[J] | Introduction to Plasma Physics I | Introduces plasma phenomena relevant to energy generation by controlled thermonuclear fusion and to astrophysics. Elementary plasma concepts, plasma characterization. Motion of charged particles in magnetic fields. Coulomb collisions, relaxation times, transport processes. Two-fluid hydrodynamic and MHD descriptions. Plasma confinement by magnetic fields, simple equilibrium and stability analysis. Wave propagation in a magnetic field; application to RF plasma heating. Introduction to kinetic theory; Vlasov, Boltzmann and Fokker-Planck equations; relation of fluid and kinetic descriptions. Electron and ion acoustic plasma waves, Landau damping. | true | Fall, Fall | Graduate | 3-0-9 | (6.2300 or 8.07) and (18.04 or Coreq: 18.075) | 22.611[J] | false | false | false | False | False | False |
8.614[J] | Introduction to Plasma Physics II | Follow-up to 22.611 provides in-depth coverage of several fundamental topics in plasma physics, selected for their wide relevance and applicability, from fusion to space- and astro-physics. Covers both kinetic and fluid instabilities: two-stream, Weibel, magnetorotational, parametric, ion-temperature-gradient, and pressure-anisotropy-driven instabilities (mirror, firehose). Also covers advanced fluid models, and drift-kinetic and gyrokinetic equations. Special attention to dynamo theory, magnetic reconnection, MHD turbulence, kinetic turbulence, and shocks. | false | Spring | Graduate | 3-0-9 | 22.611 | 22.612[J] | false | false | false | False | False | False |
Subsets and Splits