Provides auxiliary instruction and practice for PHYS 1112 and promotes a deep understanding of basic concepts in mechanics. Recommended for students who seek additional opportunities to engage with course content, to gain confidence in applying physics principals, or to develop their problem-solving skills. Class time is also spent exploring real-life applications and discussing strategies to be successful in PHYS 1112 .

Academic Career: UG Instructor: Jim Baker (jeb94)Full details for PHYS 1012 : Physics 1112 Supplement

Provides auxiliary instruction and practice for PHYS 2213 and promotes a deep understanding of basic concepts in electromagnetism. Recommended for students who seek additional opportunities to engage with course content, to gain confidence in applying physics principals, or to develop their problem-solving skills. Class time is also spent exploring real-life applications and discussing strategies to be successful in PHYS 2213 .

Academic Career: UG Instructor: Jim Baker (jeb94)Full details for PHYS 1013 : Physics 2213 Supplement

PHYS 1101 and PHYS 1102 emphasize both quantitative and conceptual understanding of the topics and tools of introductory physics developed without the use of calculus. The courses offer individualized instruction. Students learn through completing assigned readings, problems, and laboratory exercises, and through individualized tutoring. Additionally, recorded lectures, overview sessions, short videos, sample tests, and online tutorials are provided. The course format provides flexibility, but in some ways is more demanding than a course with a traditional format. Success requires discipline and well-developed study habits. Students without high school physics should allow extra time. Evaluation includes an oral lab check, a selection of graded homework problems, and a written test for each unit; these must be completed within a flexible set of deadlines. Major topics for PHYS 1101: forces and equilibrium, kinematics, dynamics, momentum, energy, fluid mechanics, waves and sound, thermal physics, and thermodynamics. At the level of College Physics vol. 1, 4th ed., by Giambattista, Richardson, and Richardson.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Alan Giambattista (agg1)

Full details for PHYS 1101 : General Physics I

First course in a three-semester introductory physics sequence. This course is taught in a largely "flipped', highly interactive manner, with reading preparation required for class. Covers the mechanics of particles with focus on kinematics, dynamics, conservation laws, central force fields, periodic motion. Mechanics of many-particle systems: center of mass, rotational mechanics of a rigid body, rotational equilibrium, and fluid mechanics. Temperature, heat, the laws of thermodynamics. At the level of University Physics, Vol. 1, by Young and Freedman.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Philip Krasicky (pdk4)

Full details for PHYS 1112 : Physics I: Mechanics and Heat

First in a three-semester introductory physics sequence. Explores quantitative modeling of the physical world through a study of mechanics. More mathematical and abstract than a typical mechanics course - for example, considers how choice of coordinate system (Cartesian, cylindrical, etc.) influences the nature of kinematical equations. Fast paced. Includes kinematics, dynamics, conservation laws, central force fields, periodic motion, and special relativity. At the level of An Introduction to Mechanics by Kleppner and Kolenkow.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Kyle Shen (kms272)

Full details for PHYS 1116 : Physics I: Mechanics and Special Relativity

Students perform the laboratory component of one of the introductory courses (PHYS 1112, PHYS 2207, PHYS 2208, PHYS 2213, PHYS 2214) to complement the lecture-related course credit acquired elsewhere. Those wishing to take equivalent of one of these introductory courses at another institution should receive prior approval from the physics director of undergraduate studies.

Academic Career: UG Full details for PHYS 1190 : Introductory Laboratory (Transfer Supplement)The course prepares students for the faster paced PHYS 2299 - Fundamentals of Physics for Premed Students. The course is not calculus based, and it does not include a laboratory component. The topics include Classical Mechanics and conservation laws. This course does not satisfy nor substitute for any Pre-Medical coursework at WCM-Q or elsewhere.

Academic Career: UG Full details for PHYS 1199 : Introduction to Physics: Classical MechanicsPHYS 2207-PHYS 2208 is a two-semester introduction to physics, intended for students majoring in biological science, physical science, or mathematics. The course provides a rich exposure to the methods of physics and to the basic analytical and scientific communication skills required by all scientists. Lectures are illustrated with applications from the sciences, medicine, and everyday life. Labs highlight topics from the lectures and utilize computer-aided data acquisition and analysis. Recitation sections emphasize learning via cooperative problem-solving. The course covers mechanics, conservation laws, gravitation, fluids, oscillations and waves, acoustics and thermal physics. At the level of University Physics for the Physical and Life Sciences, Vol. I, by Kesten and Tauck.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Erich Mueller (em256)

Full details for PHYS 2207 : Fundamentals of Physics I

Second in a three semester introductory physics sequence. Topics include electrostatics, behavior of matter in electric fields, DC circuits, magnetic fields, Faraday's law, AC circuits, and electromagnetic waves. At the level of University Physics, Vol. 2, by Young and Freedman, 13th ed.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Ivan Bazarov (ib38)

Full details for PHYS 2213 : Physics II: Electromagnetism

For majors in engineering (including bio-, civil, and environmental engineering), computer and information science, physics, earth and atmospheric science, and other physical and biological sciences who wish to understand the oscillation, wave, and quantum phenomena behind everyday experiences and modern technology including scientific/medical instrumentation. Covers the physics of oscillations and wave phenomena, including driven oscillations and resonance, mechanical waves, sound waves, electromagnetic waves, standing waves, Doppler effect, polarization, wave reflection and transmission, interference, diffraction, geometric optics and optical instruments, wave properties of particles, particles in potential wells, light emission and absorption, and quantum tunneling. With applications to phenomena and measurement technologies in engineering, the physical sciences, and biological sciences. Some familiarity with differential equations, complex representation of sinusoids, and Fourier analysis is desirable but not essential. As with PHYS 1112 and PHYS 2213, pre-class preparation involves reading notes and/or watching videos, and in-class activities focus on problem solving, demonstrations, and applications.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Glenn Case (gsc11)

Full details for PHYS 2214 : Physics III: Oscillations, Waves, and Quantum Physics

Introduction to Einstein's Theory of Special Relativity, including Galilean and Lorentz transformations, the concept of simultaneity, time dilation and Lorentz contraction, the relativistic transformations of velocity, momentum and energy, and relativistic invariance in the laws of physics. At the level of An Introduction to Mechanics by Kleppner and Kolenkow.

Academic Career: UG Instructor: Robert Fulbright (rmf14)Full details for PHYS 2216 : Introduction to Special Relativity

Second in a three semester introductory physics sequence. Explores quantitative modeling of the physical world through a study of electricity and magnetism. More mathematical and abstract than a typical introductory electricity and magnetism course. Topics include electrostatics, behavior of matter in electric fields, circuits, magnetic fields, Faraday's law, AC circuits, and electromagnetic waves. Makes substantial use of vector calculus. At the level of Electricity and Magnetism by Purcell.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Veit Elser (ve10)

Full details for PHYS 2217 : Physics II: Electricity and Magnetism

This course is divided into two parts. The larger segment of the course typically focuses on wave phenomena. Topics include coupled harmonic oscillators, strings, sound and light waves, superposition principle, wave equations, Fourier series and transforms, diffraction and interference. The discussion is at the level of The Physics of Waves by Georgi. The second segment of the course covers thermodynamics and statistical mechanics at the level of Thermal Physics by Schroeder.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Brad Ramshaw (bjr228)

Full details for PHYS 2218 : Physics III: Waves and Thermal Physics

Topics include breakdown of classical concepts in microphysics; light quanta and matter waves; Schrödinger equation and solutions for square well, harmonic oscillator, and the hydrogen atom; wave packets, scattering and tunneling effects, angular momentum, spin, and magnetic moments. At the level of An Introduction to Quantum Physics by French and Taylor and Introduction to Quantum Physics by Griffiths.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Katja Nowack (kcn34)

Full details for PHYS 3316 : Basics of Quantum Mechanics

Covers a number of applications of quantum mechanics to topics in modern physics. Uses the tools developed in PHYS 3316, and does not introduce new formalism. Topics include: the physics of single and multi-electron atoms, introduction to quantum statistics, band theory of solids, superconductivity, nuclear structure, elementary particle physics. Students will develop their order-of-magnitude reasoning and their modeling skills.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Yuval Grossman (yg73)

Full details for PHYS 3317 : Applications of Quantum Mechanics

Focuses on advanced electro/magnetostatics, such as vector and scalar potentials and multipole expansion of the potential solutions to Laplace's Equation and boundary value problems, as well as time-dependent electrodynamics: Maxwell's Equations, electromagnetic waves, reflection and refraction, wave guides, and generation of electromagnetic radiation (retarded potential). As time permits, topics will be drawn from antennas, relativistic electrodynamics, four vectors, Lorentz, and transformation of fields based on the interest of the class. At the level of Classical Electromagnetic Radiation by Heald and Marion or the more advanced chapters of Introduction to Electrodynamics by Griffiths.

Distribution: (PBS-AS, PHS-AS, SMR-AS)Academic Career: UG Instructor: Lawrence Gibbons (lkg5)

Full details for PHYS 3327 : Advanced Electricity and Magnetism

Practical electronics as encountered in a scientific or engineering research/development environment. Analyze, design, build, and test circuits using discrete components and integrated circuits. Analog circuits: resistors, capacitors, operational amplifiers, feedback amplifiers, oscillators, comparators, passive and active filters, diodes, and transistor switches and amplifiers. Digital circuits: combinational and sequential logic (gates, flipflops, registers, counters, timers), analog to digital (ADC) and digital to analog (DAC) conversion, signal averaging, and computer architecture and interfacing. Additional topics may include analog and digital signal processing, light wave communications, transducers, noise reduction techniques, and computer-aided circuit design. At the level of Art of Electronics by Horowitz and Hill.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Georg Hoffstaetter (gh77)

Full details for PHYS 3360 : Electronic Circuits

Quantum statistical basis for equilibrium thermodynamics, microcanonical, canonical and grand canonical ensembles, and partition functions. Classical and quantum ideal gases, paramagnetic and multiple-state systems. Maxwell-Boltzmann, Fermi-Dirac, and Bose-Einstein statistics and applications. Introduction to systems of interacting particles. At the level of Introductory Statistical Mechanics by Bowley and Sanchez.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Bruce Kusse (brk2)

Full details for PHYS 4230 : Statistical Thermodynamics

Experiments of widely varying difficulty in one or more areas, as listed under PHYS 4410, may be done to fill the student's special requirements.

Academic Career: UG Instructor: Paul McEuen (plm23)Full details for PHYS 4400 : Informal Advanced Laboratory

Over 50 available experiments on various topics including atomic and molecular spectroscopy, optics, condensed matter physics, nuclear physics, electrical and microwave circuits, x-rays, and magnetic resonance. Each student selects and performs three experiments. Independent work is stressed, and scientific writing and presentation skills are emphasized. Weekly lectures will cover techniques and skills necessary for the class and experimental physics in general.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: Paul McEuen (plm23)

Full details for PHYS 4410 : Advanced Experimental Physics

One-semester introduction to general relativity that develops the essential structure and phenomenology of the theory without requiring prior exposure to tensor analysis. General relativity is a fundamental cornerstone of physics that underlies several of the most exciting areas of current research, including relativistic astrophysics, cosmology, and the search for a quantum theory of gravity. The course briefly reviews special relativity, introduces basic aspects of differential geometry, including metrics, geodesics, and the Riemann tensor, describes black hole spacetimes and cosmological solutions, and concludes with the Einstein equation and its linearized gravitational wave solutions. At the level of Gravity: An Introduction to Einstein's General Relativity by Hartle.

Distribution: (PBS-AS, PHS-AS, SMR-AS)Academic Career: UG Instructor: Saul Teukolsky (sat4)

Full details for PHYS 4445 : Introduction to General Relativity

Introduction the physics of crystalline solids. Covers crystal structures; electronic states; lattice vibrations; and metals, insulators, and semiconductors. Covers optical properties, magnetism, and superconductivity as time allows. The majority of the course addresses the foundations of the subject, but time is devoted to modern and/or technologically important topics such as quantum size effects. At the level of Introduction to Solid State Physics by Kittel or Solid State Physics by Ashcroft and Mermin.

Distribution: (PBS-AS, PHS-AS)Academic Career: UG Instructor: David Muller (dm24)

Full details for PHYS 4454 : Introductory Solid State Physics

Covers numerical methods for ordinary and partial differential equations, linear algebra and eigenvalue problems, integration, nonlinear equations, optimization, and fast Fourier transforms. Find out how and why the "black-box" numerical routines you use work, how to improve and generalize them, and how to fix them when they don't. Based on the text Numerical Recipes by William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery.

Distribution: (PBS-AS, PHS-AS, SDS-AS)Academic Career: UG Instructor: Tomas Arias (taa2)

Full details for PHYS 4480 : Computational Physics

Hardware that exploits quantum phenomena can dramatically alter the nature of computation. Though constructing a general purpose quantum computer remains a formidable technological challenge, there has been much recent experimental progress. In addition, the theory of quantum computation is of interest in itself, offering new perspectives on the nature of computation and information, as well as providing novel insights into the conceptual puzzles posed by quantum theory. This course is intended for physicists, unfamiliar with computational complexity theory or cryptography, and for computer scientists and mathematicians with prior exposure to quantum mechanics. Topics include: simple quantum algorithms, error correction, cryptography, teleportation, and uses of quantum computing devices either currently available or to be available in the near future.

Distribution: (PBS-AS, PHS-AS, SMR-AS)Academic Career: UG Instructor: Paul Ginsparg (phg5)

Full details for PHYS 4481 : Quantum Information Processing

This 1.5-hour weekly seminar provides undergraduate and graduate students with an introduction to core concepts in teaching and learning physics. Participants read and discuss articles and videos, reflect on their own teaching and learning experiences, and engage in collaborative activities that help them become more effective teachers, learners, and communicators. This seminar is especially valuable for those considering teaching physics at some point in their careers, or who want to improve their own physics learning skills. Topics may include: question types and questioning strategies; classroom discourse; neurological basis of learning; expertise acquisition and expert performance; deliberate practice; misconceptions, mental models and conceptual change; mindsets and psychological interventions; classroom diversity and microaggressions; multiple intelligences and multiple representations; metacognition; active learning; the nature of science; the qualities of effective teachers; and evaluating teaching and learning.

Academic Career: UG Instructor: Robert Thorne (ret6)Full details for PHYS 4484 : Teaching and Learning Physics

Designed to provide qualified undergraduate students who possess an interest in teaching with a structured experience teaching physics. Participants collaborate with instructors and graduate teaching assistants to facilitate cooperative learning sessions, laboratory investigations, or homework help sessions. Total weekly time commitment is 3-4 hours, including instructional contact time (2 hours), preparation time, and instructional staff meeting time.

Academic Career: UG Instructor: Jim Baker (jeb94)Full details for PHYS 4485 : Teaching Experience I

Teaching experience for qualified undergraduate students in PHYS 1101/PHYS 1102. Contact time will be in the course's Learning Center, in a team environment with graduate student TAs and faculty. Activities include tutoring individual students, working with small groups, assisting students with lab experiments, and participating in course development initiatives.

Academic Career: UG Instructor: Alan Giambattista (agg1)Full details for PHYS 4486 : Teaching Experience II

Continuation of PHYS 4486. Teaching experience for qualified undergraduate students to help with PHYS 1101/PHYS 1102. Contact time will be in the course's Learning Center, in a team environment with graduate student TAs and faculty. Activities include tutoring individual students, working with small groups, assisting students with lab experiments, and participating in course development initiatives.

Academic Career: UG Instructor: Alan Giambattista (agg1)Full details for PHYS 4487 : Teaching Experience III

Individual project work (reading or laboratory) in any branch of physics. Products vary, but may include a thesis. Evaluation criteria are decided between student and faculty member.

Academic Career: UG Instructor: Jim Alexander (jpa6)Full details for PHYS 4490 : Independent Study in Physics

The first half of a two-semester thesis course involving physics-related research under the direct supervision of a faculty member. The thesis research may take many forms including but not restricted to : theoretical calculations, design of instrumentation, experimental research, or numerical simulations. Students wishing to pursue the senior thesis must submit a proposal, with the approval of a faculty supervisor, in spring of their junior year.

Distribution: (PBS-AS)Academic Career: UG Instructor: Nicholas Battaglia (nb572)

Full details for PHYS 4498 : Senior Thesis

Experiments of widely varying difficulty in one or more areas, as listed under PHYS 6510, may be done to fill special requirements.

Academic Career: GR Instructor: Paul McEuen (plm23)Full details for PHYS 6500 : Informal Graduate Laboratory

Over 50 available experiments on various topics including atomic and molecular spectroscopy, optics, condensed matter physics, nuclear physics, electrical and microwave circuits, x-rays, and magnetic resonance. Each student selects and performs three experiments. Independent work is stressed, and scientific writing and presentation skills are emphasized. Weekly lectures will cover techniques and skills necessary for the class and experimental physics in general.

Academic Career: GR Instructor: Paul McEuen (plm23)Full details for PHYS 6510 : Advanced Experimental Physics

Projects of modern topical interest that involve some independent development work by student. Opportunity for more initiative in experimental work than is possible in PHYS 6510.

Academic Career: GR Full details for PHYS 6520 : Projects in Experimental PhysicsA comprehensive introduction to Einstein's theory of relativistic gravity. This course focuses on the formal structure of the theory.

Academic Career: GR Instructor: Liam McAllister (lm432)Full details for PHYS 6553 : General Relativity I

Covers special relativity, Maxwell's equations, electromagnetic potentials, conservation laws, Green's functions, electromagnetic waves, dispersion, radiation theory, and scattering. The practical application of appropriate mathematical methods is emphasized. At the level of Classical Electrodynamics by Jackson.

Academic Career: GR Instructor: Csaba Csaki (cc338)Full details for PHYS 6561 : Classical Electrodynamics

First part of the two-semester graduate quantum mechanics sequence. Covers non-relativistic quantum physics, focusing on fundamental conceptual issues and methods. Topics include: fundamental concepts of quantum mechanics using the Dirac notation, theory of angular momentum and spin, symmetries, approximation methods and identical particles, at the level of Sakurai Modern Quantum Mechanics.

Academic Career: GR Instructor: Eunah Kim (ek436)Full details for PHYS 6572 : Quantum Mechanics I

Intended to provide a detailed theoretical development of current ideas in cosmology. Topics include Big Bang cosmology and the universe's matter content; a cosmological chronology very early universe, symmetry breaking, inflationary scenarios, nucleosynthesis, recombination, growth of irregularities, galaxy formation and clustering, dark energy; current and future cosmological observational approaches.

Academic Career: GR Instructor: Nicholas Battaglia (nb572)Full details for PHYS 6599 : Cosmology

Foundations of fluid mechanics from an advanced viewpoint, including formulation of continuum fluid dynamics; kinematic descriptions of fluid flow, derivation of the Navier-Stokes equations and energy equation for compressible fluids; and sound waves, viscous flows, boundary layers, and potential flows.

Academic Career: GR Instructor: Olivier Desjardins (od57)Full details for PHYS 7601 : Foundations of Fluid Mechanics I

Survey of the physics of solids: crystal structures, X-ray diffraction, phonons, and electrons. Selected topics from semiconductors, magnetism, superconductivity, disordered materials, topological materials, and mesoscopic physics. The focus is to enable graduate research at the current frontiers of condensed matter physics. In addition to the course lectures, students are expected to attend either the LASSP/AEP seminar at 12:20 pm on Tuesdays or the weekly research seminar for their home department. An optional study hall/homework section will be held 2-3 pm on Thursdays.

Academic Career: GR Instructor: Dan Ralph (dcr14)Full details for PHYS 7635 : Solid-State Physics I

Introduction to relativistic quantum field theory for applications in particle physics. Topics include quantization of Klein-Gordon, Dirac and gauge fields, Lorentz invariance in quantum theory, perturbation theory, Feynman diagrams, calculation of decay rates and cross sections, and an introduction to radiative corrections, renormalization and effective field theories. At the level of Quantum Field Theory and the Standard Model by Schwartz.

Academic Career: GR Instructor: Maxim Perelstein (mp325)Full details for PHYS 7651 : Relativistic Quantum Field Theory I

Intended to provide a systematic development of stellar astrophysics, both theory and observations. Topics include hydrostatic equilibrium; equation of state; radiation transfer and atmospheres; convection and stellar turbulence; nuclear burning and nucleosynthesis; solar neutrinos; star formation; pre-main sequence stars; brown dwarfs; end states of stellar evolution (white dwarfs, neutron stars, and black holes); supernovae; interacting binary stars; stellar rotation and magnetic fields; stellar pulsations; winds and outflows.

Academic Career: GR Instructor: Dong Lai (dl57)Full details for PHYS 7667 : Theory of Stellar Structure and Evolution

Covers numerical methods for ordinary and partial differential equations, linear algebra and eigenvalue problems, integration, nonlinear equations, optimization, and fast Fourier transforms. Find out how and why the "black-box" numerical routines you use work, how to improve and generalize them, and how to fix them when they don't. Based on the text Numerical Recipes by William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery.

Academic Career: GR Instructor: Tomas Arias (taa2)Full details for PHYS 7680 : Computational Physics

Hardware that exploits quantum phenomena can dramatically alter the nature of computation. Though constructing a general purpose quantum computer remains a formidable technological challenge, there has been much recent experimental progress. In addition, the theory of quantum computation is of interest in itself, offering new perspectives on the nature of computation and information, as well as providing novel insights into the conceptual puzzles posed by quantum theory. This course is intended for physicists, unfamiliar with computational complexity theory or cryptography, and for computer scientists and mathematicians with prior exposure to quantum mechanics. Topics include: simple quantum algorithms, error correction, cryptography, teleportation, and uses of quantum computing devices either currently available or to be available in the near future.

Academic Career: GR Instructor: Paul Ginsparg (phg5)Full details for PHYS 7681 : Quantum Information Processing

This 1.5-hour weekly seminar provides undergraduate and graduate students with an introduction to core concepts in physics education. Participants discuss articles and videos drawn from physics and science education research and from cognitive science, and engage in collaborative activities that help them become more effective teachers, communicators and learners. This seminar is especially valuable for those considering teaching physics at some point in their careers. Topics include: Questioning Strategies, Classroom Discourse, Teaching through misconceptions, Argumentation approach to instruction, Learning Theory, Conceptions and Conceptual Change and Fixed vs Growth Mind-set, Science communication. Text: Articles from science, engineering, and math education journals.

Academic Career: GR Instructor: Robert Thorne (ret6)Full details for PHYS 7684 : Teaching and Learning Physics

Offerings are announced each semester. Typical topics are group theory, analyticity in particle physics, weak interactions, superfluids, stellar evolution, surface physics, Monte Carlo methods, low-temperature physics, magnetic resonance, phase transitions, and the renormalization group.

Academic Career: GR Instructor: Maxim Perelstein (mp325)Full details for PHYS 7685 : Special Topics in Physics

This is an advanced graduate level course that will introduce and demystify field theory and path-integral based methods for studying quantum many-body systems. We will connect to the latest experimental developments in the field of quantum materials at every stage of the course. The aim of this course is to enable students to develop technical and intuitive skills for solving the many-body problem. The course is meant for condensed matter theorists and experimentalists, as well as students from other fields who want an exposure to the field. A tentative course outline appears below (the list of topics might change based on student feedback and time constraints).

Academic Career: GR Instructor: Debanjan Chowdhury (dc977)Full details for PHYS 7687 : Special Topics in Physics

Special graduate study in some branch of physics, either theoretical or experimental, under the direction of any professorial member of the staff.

Academic Career: GR Instructor: Saul Teukolsky (sat4)Full details for PHYS 7690 : Independent Study in Physics