# Physics

[ undergraduate program | graduate program | faculty ]

*All courses, faculty listings, and curricular and degree requirements described herein are subject to change or deletion without notice. Updates may be found on the Academic Senate website: http://senate.ucsd.edu/catalog-copy/approved-updates/.*

## Courses

*For course descriptions not found in the *UC
San Diego General Catalog, 2016–17*, please contact the department
for more information.*

## Lower Division

The Physics 1 sequence is primarily intended for biology.

The Physics 2 sequence is intended for physical science and engineering majors and those biological science majors with strong mathematical aptitude.

The Physics 4 sequence is intended for all physics majors and for students with an interest in physics. This five-quarter sequence covers the same topics as the Physics 2 sequence, but it covers these topics more slowly and in more depth. The Physics 4 sequence provides a solid foundation for the upper-division courses required for the physics major.

Physics 5, 7, 8, 9, 10, 11, 12, and 13 are intended for nonscience majors. Physics 5, 7, 8, 9, 10, 12, and 13 do not use calculus while Physics 11 uses some calculus.

PHYS 1A. Mechanics (3)

First quarter of a three-quarter introductory physics course, geared towards life-science majors. Equilibrium and motion of particles in one and two dimensions in the framework of Newtonian mechanics, force laws (including gravity), energy, momentum, rotational motion, conservation laws, and fluids. Examples will be drawn from astronomy, biology, sports, and current events. **Prerequisites:** Mathematics 10A or 20A. **Corequisites: **Physics 1AL and Mathematics 10B or 20B (prior completion of mathematics corequisite is permitted). (F,W,S)

PHYS 1AL. Mechanics Laboratory (2)

Physics laboratory course to accompany Physics 1A. Experiments in Mechanics. **Prerequisites:** Mathematics 10A or 20A. **Corequisites: **Physics 1A and Mathematics 10B or 20B (prior completion of mathematics corequisite is permitted). (F,W,S)

PHYS 1B. Electricity and Magnetism (3)

Second quarter of a three-quarter introductory physics course geared toward life-science majors. Electric fields, magnetic fields, DC and AC circuitry. **Prerequisites:** Physics 1A or 2A, 1AL or 2BL, and Mathematics 10B or 20B. **Corequisites: **Physics 1BL and Mathematics 10C or 20C or 11 (prior completion of mathematics corequisite is permitted). (F,W,S)

PHYS 1BL. Electricity and Magnetism Laboratory (2)

Physics laboratory course to accompany Physics 1B. Experiments in electricity and magnetism. Program or material fee may apply. **Prerequisites:** Physics 1A or 2A, 1AL or 2BL, and Mathematics 10B or 20B. **Corequisites: **Physics 1B and Mathematics 10C or 20C or 11 (prior completion of mathematics corequisite is permitted). (F,W,S)

PHYS 1C. Waves, Optics, and Modern Physics (3)

Third quarter of a three-quarter introductory physics course geared toward life-science majors. The physics of oscillations and waves, vibrating strings and sound, the behavior of systems under combined thermal and electric forces, and the interaction of light with matter as illustrated through optics and quantum mechanics. Examples from biology, sports, medicine, and current events. **Prerequisites:** Physics 1B or 2B, 1BL or 2CL, and Mathematics 10C or 20C or 11. **Corequisites: **Physics 1CL. (F,W,S)

PHYS 1CL. Waves, Optics, and Modern Physics Laboratory (2)

Physics laboratory course to accompany Physics 1C. Experiments in waves, optics, and modern physics. Program or material fee may apply. **Prerequisites:** Physics 1B or 2B, 1BL or 2CL, and Mathematics 10C or 20C or 11. **Corequisites: **Physics 1C. (F,W,S)

PHYS 2A. Physics—Mechanics (4)

A calculus-based science-engineering general physics course covering vectors, motion in one and two dimensions, Newton’s first and second laws, work and energy, conservation of energy, linear momentum, collisions, rotational kinematics, rotational dynamics, equilibrium of rigid bodies, oscillations, gravitation. **Prerequisites:** Mathematics 20A. **Corequisites:** Mathematics 20B (prior completion of mathematics corequisite is permitted). (F,W,S)

PHYS 2B. Physics—Electricity and Magnetism (4)

Continuation of Physics 2A covering charge and matter, the electric field, Gauss’s law, electric potential, capacitors and dielectrics, current and resistance, electromotive force and circuits, the magnetic field, Ampere’s law, Faraday’s law, inductance, electromagnetic oscillations, alternating currents and Maxwell’s equations. **Prerequisites:** Physics 2A or 4A and Mathematics 20A-B. **Corequisites:** Mathematics 20C (prior completion of mathematics corequisite is permitted). (F,W,S)

PHYS 2BL. Physics Laboratory—Mechanics (2)

Experiments include gravitational force, linear and rotational motion, conservation of energy and momentum, collisions, oscillations and springs, gyroscopes. Data reduction and error analysis are required for written laboratory reports. One-hour lecture and three hours’ laboratory. **Prerequisites:** Physics 2A or 4A. **Corequisites:** Physics 2B or 4C (prior completion of Physics 2B or 4C is permitted). (F,W,S)

PHYS 2C. Physics—Fluids, Waves, Thermodynamics, and Optics (4)

Continuation of Physics 2B covering fluid mechanics, waves in elastic media, sound waves, temperature, heat and the first law of thermodynamics, kinetic theory of gases, entropy and the second law of thermodynamics, Maxwell’s equations, electromagnetic waves, geometric optics, interference and diffraction. **Prerequisites:** Physics 2A or 4A, and Mathematics 20A-C.** Corequisites: **Mathematics 20D (prior completion of mathematics corequisite is permitted). Recommended preparation: prior completion of Physics 2B is strongly recommended. (F,W,S)

PHYS 2CL. Physics Laboratory—Electricity and Magnetism (2)

Experiments on L-R-C circuits; oscillations, resonance and damping, measurement of magnetic fields. One-hour lecture and three hours’ laboratory. Program or material fee may apply. **Prerequisites:** Physics 2A or 4A and Physics 2B or 4C. **Corequisites:** Physics 2C or 4D (prior completion of Physics 2C or 4D is permitted). (F,W,S)

PHYS 2D. Physics—Relativity and Quantum Physics (4)

A modern physics course covering atomic view of matter, electricity and radiation, atomic models of Rutherford and Bohr, relativity, X-rays, wave and particle duality, matter waves, Schrödinger’s equation, atomic view of solids, natural radioactivity. **Prerequisites:** Physics 2A or 4A, 2B, and Mathematics 20D. **Corequisites:** Mathematics 20E (prior completion of mathematics corequisite is permitted). (W,S)

PHYS 2DL. Physics Laboratory—Modern Physics (2)

One hour of lecture and three hours of laboratory. Experiments to be chosen from refraction, diffraction and interference of microwaves, Hall effect, thermal band gap, optical spectra, coherence of light, photoelectric effect, e/m ratio of particles, radioactive decays, and plasma physics. Program or material fee may apply. **Prerequisites:** 2BL or 2CL. **Corequisites:** Physics 2D or 4E (prior completion of Physics 2D or 4E is permitted). (S)

PHYS 4A. Physics for Physics Majors—Mechanics (4)

The first quarter of a five-quarter calculus-based physics sequence for physics majors and students with a serious interest in physics. The topics covered are vectors, particle kinematics and dynamics, work and energy, conservation of energy, conservation of momentum, collisions, rotational kinematics and dynamics, equilibrium of rigid bodies. **Prerequisites:** Mathematics 20A. **Corequisites:** Mathematics 20B (prior completion of mathematics corequisite is permitted). (W)

PHYS 4B. Physics for Physics Majors—Fluids, Waves, and Heat (4)

Continuation of Physics 4A covering oscillations, gravity, fluid statics and dynamics, waves in elastic media, sound waves, heat and the first law of thermodynamics, kinetic theory of gases, second law of thermodynamics, gaseous mixtures and chemical reactions. **Prerequisites:** Physics 2A or 4A and Mathematics 20B. **Corequisites:** Math 20C (prior completion of mathematics corequisite is permitted). Students continuing to Physics 4C will need prior completion of both Mathematics 20C and Mathematics 18 or 20F. (S)

PHYS 4C. Physics for Physics Majors—Electricity and Magnetism (4)

Continuation of Physics 4B covering charge and Coulomb’s law, electric field, Gauss’s law, electric potential, capacitors and dielectrics, current and resistance, magnetic field, Ampere’s law, Faraday’s law, inductance, magnetic properties of matter, LRC circuits, Maxwell’s equations. **Prerequisites: **Physics 2A or 4A, 4B, Mathematics 20C and 20F or 18. **Corequisites:** Mathematics 20E (prior completion of mathematics corequisite is permitted). (F)

PHYS 4D. Physics for Physics Majors—Electromagnetic Waves, Optics, and Special Relativity (4)

Continuation of Physics 4C covering electromagnetic
waves and the nature of light, cavities and wave guides, electromagnetic
radiation, reflection and refraction with applications to geometrical
optics, interference, diffraction, holography, special relativity.** Prerequisites: **Physics 2A or 4A, 4B-C, and Mathematics 20A-B-C-E, and Mathematics 20F or 18. **Corequisites:** Mathematics 20D (prior completion of mathematics corequisite is permitted). (W)

PHYS 4E. Physics for Physics Majors—Quantum Physics (4)

Continuation of Physics 4D covering experimental
basis of quantum mechanics: Schrödinger equation and simple applications;
spin; structure of atoms and molecules; selected topics from solid state,
nuclear, and elementary particle physics. **Prerequisites:** Physics 2A or 4A, 4B-C-D, and Mathematics 20A-B-C-D-E, and Mathematics 20F or 18. (S)

PHYS 5. Stars and Black Holes (4)

An introduction to the evolution of stars, including their birth and death. Topics include constellations, the atom and light, telescopes, stellar birth, stellar evolution, white dwarfs, neutron stars, black holes, and general relativity. This course uses basic algebra, proportion, radians, logs, and powers. Physics 5, 7, 9, and 13 form a four-quarter sequence and can be taken individually in any order. (F,S)

PHYS 7. Galaxies and Cosmology (4)

An introduction to galaxies and cosmology. Topics include the Milky Way, galaxy types and distances, dark matter, large scale structure, the expansion of the Universe, dark energy, and the early Universe. This course uses basic algebra, proportion, radians, logs and powers. Physics 5, 7, 9, and 13 form a four-quarter sequence and can be taken individually in any order. (W)

PHYS 8. Physics of Everyday Life (4)

Examines phenomena and technology encountered in daily life from a physics perspective. Topics include waves, musical instruments, telecommunication, sports, appliances, transportation, computers, and energy sources. Physics concepts will be introduced and discussed as needed employing some algebra. No prior physics knowledge is required.

PHYS 9. The Solar System (4)

An exploration of our Solar System. Topics include the Sun, terrestrial and giant planets, satellites, asteroids, comets, dwarf planets and the Kuiper Belt, exoplanets, and the formation of planetary systems. This course uses basic algebra, proportion, radians, logs and powers. Physics 5, 7, 9, and 13 form a four-quarter sequence and can be taken individually in any order. (S)

PHYS 10. Concepts in Physics (4)

This is a one-quarter general physics course for nonscience majors. Topics covered are motion, energy, heat, waves, electric current, radiation, light, atoms and molecules, nuclear fission and fusion. This course emphasizes concepts with minimal mathematical formulation.** Recommended preparation:** college algebra. (W)

PHYS 11. Survey of Physics (4)

Survey of physics for nonscience majors with strong mathematical background, including calculus. Physics 11 describes the laws of motion, gravity, energy, momentum, and relativity. A laboratory component consists of two experiments with gravity and conservation principles. **Prerequisites:** Mathematics 10A or 20A. **Corequisites: **Mathematics 10B or 20B. (F)

PHYS 12. Energy and the Environment (4)

A course covering energy fundamentals, energy use in an industrial society and the impact of large-scale energy consumption. It addresses topics on fossil fuel, heat engines, solar energy, nuclear energy, energy conservation, transportation, air pollution and global effects. Concepts and quantitative analysis. (S)

PHYS 13. Life in the Universe (4)

An exploration of life in the Universe. Topics include defining life; the origin, development, and fundamental characteristics of life on Earth; searches for life elsewhere in the Solar System and other planetary systems; space exploration; and identifying extraterrestrial intelligence. This course uses basic algebra, proportion, radians, logs, and powers. Physics 5, 7, 9, and 13 form a four-quarter sequence and can be taken individually in any order. (W)

PHYS 30. Poetry for Physicists (4)

Physicists have spoken of the beauty of equations. The poet John Keats wrote, “Beauty is truth, truth beauty...” What did they mean? Students will consider such questions while reading relevant essays and poems. Requirements include one creative exercise or presentation. Cross-listed with LTEN 30. Students cannot earn credit for both Physics 30 and LTEN 30. **Prerequisites: **CAT 2 or DOC 2 or HUM 1 or MCWP 40 or MMW 12 or WARR 11A or WCWP 10A and CAT 3 or DOC 3 or HUM 2 or MCWP 50 or MMW 13 or WARR 11B or WCWP 10B. (S)

PHYS 87. Freshman Seminar in Physics and Astrophysics (1)

The Freshman Seminar Program is designed to provide new students with the opportunity to explore an intellectual topic with a faculty member in a small seminar setting. Freshman Seminars are offered in all campus departments and undergraduate colleges, and topics vary from quarter to quarter. Enrollment is limited to fifteen to twenty students, with preference given to entering freshmen.

PHYS 98. Directed Group Study (2)

Directed group study on a topic, or in a field not included in the regular departmental curriculum. P/NP grades only.

PHYS 99. Independent Study (2)

Independent reading or research on a topic by special arrangement with a faculty member. P/NP grading only. **Prerequisites:** lower-division standing. Completion of thirty units at UC San Diego undergraduate study, a minimum UC San Diego GPA of 3.0, and a completed and approved Special Studies form. Department stamp required.

## Upper Division

PHYS 100A. Electromagnetism I (4)

Coulomb’s law, electric fields, electrostatics; conductors and dielectrics; steady currents, elements of circuit theory. **Prerequisites:** Physics 2A-B-C or 4A-B-C-D, and Mathematics 20A-B-C-D-E and 20F or 18. Open to major codes EC28, PY26, PY28, PY29, PY30, PY31, PY32, PY33, and PY34 only.
(F)

PHYS 100B. Electromagnetism II (4)

Magnetic fields and magnetostatics, magnetic materials, induction, AC circuits, displacement currents; development of Maxwell’s equations. **Prerequisites:** Physics 100A, 105A, and Mathematics 20A-B-C-D-E and 20F or 18. Open to major codes EC28, PY26, PY28, PY29, PY30, PY31, PY32, PY33, and PY34 only. (W)

PHYS 100C. Electromagnetism III (4)

Electromagnetic waves, radiation theory; application to optics; motion of charged particles in electromagnetic fields; relation of electromagnetism to relativistic concepts. **Prerequisites:** Physics 100B. (S)

PHYS 105A. Mathematical and Computational Physics I (4)

A combined analytic and mathematically-based numerical approach to the solution of common applied mathematics problems in physics and engineering. Topics: Fourier series and integrals, special functions, initial and boundary value problems, Green’s functions; heat, Laplace and wave equations. **Prerequisites:** Physics 2B-C-D or 4B-C-D-E, and Mathematics 20A-B-C-D-E and 20F or 18. Open to major codes EC28, PY26, PY28, PY29, PY30, PY31, PY32, PY33, and PY34 only. (F)

PHYS 105B. Mathematical and Computational Physics II (4)

A continuation of Physics 105A covering selected advanced topics in applied mathematical and numerical methods. Topics include statistics, diffusion and Monte-Carlo simulations; Laplace equation and numerical methods for nonseparable geometries; waves in inhomogeneous media, WKB analysis; nonlinear systems and chaos. **Prerequisites:** Physics 105A, and Mathematics 20A-B-C-D-E and 20F or 18. (W)

PHYS 110A. Mechanics I (4)

Phase flows, bifurcations, linear oscillations, calculus of variations, Lagrangian dynamics, conservation laws, central forces, systems of particles, collisions, coupled oscillations. **Prerequisites:** Physics 2A-B-C or 4A-B-C-D and Mathematics 20A-B-C-D-E and 20F or 18. Open to major codes EC28, PY26, PY28, PY29, PY30, PY31, PY32, PY33, and PY34 only. (F)

PHYS 110B. Mechanics II (4)

Noninertial reference systems, dynamics of rigid bodies, Hamilton’s equations, Liouville’s theorem, chaos, continuum mechanics, special relativity. **Prerequisites:** Physics 105A, 110A, and Mathematics 20A-B-C-D-E and 20F or 18. (W)

PHYS 111. Introduction to Ocean Waves (4)

The linear theory of ocean surface waves, including group velocity, wave dispersion, ray theory, wave measurement and prediction, shoaling waves, giant waves, ship wakes, tsunamis, and the physics of the surf zone. Cross-listed with SIO 111. Students cannot earn credit for both Physics 111 and SIO 111. **Prerequisites:** Physics 2A-B-C or Physics 4A-B-C and Mathematics 20A-B-C-D-E. (W) )

PHYS 120. Circuits and Electronics (5)

Laboratory and lecture course that covers principles of analog circuit theory and design, linear systems theory, and practical aspects of circuit realization, debugging, and characterization. Laboratory exercises include passive circuits, active filters and amplifiers with discrete and monolithic devices, nonlinear circuits, interfaces to sensors and actuators, and the digitization of analog signals. Physics 120 was formerly numbered Physics 120A. Program or material fee may apply. **Prerequisites:** Physics 2A-B-C or 4A-B-C and Physics 2CL. Open to major codes PY26, PY28, PY29, PY30, PY31, PY32, PY33, and PY34 only. **Recommended preparation:** Physics 100A. (S)

PHYS 122. Experimental Techniques (4)

Laboratory-lecture course covering practical techniques used in research laboratories. Possible topics include: computer interfacing of instruments, sensors, and actuators; programming for data acquisition/analysis; electronics; measurement techniques; mechanical design/machining; mechanics of materials; thermal design/control; vacuum/cryogenic techniques; optics; particle detection. Physics 122 was formerly numbered Physics 121. Program or material fee may apply.** Prerequisites: **Physics 120. (F)

PHYS 124. Laboratory Projects (4)

A laboratory-lecture-project course featuring creation of an experimental apparatus in teams of about two. Emphasis is on electronic sensing of the physical environment and actuating physical responses. The course will use a computer interface such as the Arduino. Physics 124 was formerly numbered Physics 120B. Program or material fee may apply. **Prerequisites:** Physics 120. (W)

PHYS 130A. Quantum Physics I (4)

Development of quantum mechanics. Wave mechanics; measurement postulate and measurement problem. Piece-wise constant potentials, simple harmonic oscillator, central field and the hydrogen atom. Three hours lecture, one-hour discussion session. **Prerequisites:** Physics 100B and 110A. (S)

PHYS 130B. Quantum Physics II (4)

Matrix mechanics, angular momentum, spin, and the two-state system. Approximation methods and the hydrogen spectrum. Identical particles, atomic and nuclear structures. Scattering theory. Three hours lecture, one-hour discussion session. **Prerequisites:** Physics 130A. (F)

PHYS 130C. Quantum Physics III (4)

Quantized electromagnetic fields and introductory quantum optics. Symmetry and conservation laws. Introductory many-body physics. Density matrix, quantum coherence and dissipation. The relativistic electron. Three-hour lecture, one-hour discussion session. **Prerequisites:** Physics 130B. (W)

PHYS 133. Condensed Matter/Materials Science Laboratory (4)

A project-oriented laboratory course utilizing state-of-the-art experimental techniques in materials science. The course prepares students for research in a modern condensed matter-materials science laboratory. Under supervision, the students develop their own experimental ideas after investigating current research literature. With the use of sophisticated state-of-the-art instrumentation students conduct research, write a research paper, and make verbal presentations. Program or material fee may apply. **Prerequisites:** Physics 2CL, 2DL. (S)

PHYS 137. String Theory (4)

Quantum mechanics and gravity. Electromagnetism from gravity and extra dimensions. Unification of forces. Quantum black holes. Properties of strings and branes. **Prerequisites:** Physics 100A, 110A, 130A. (S)

PHYS 139. Physics Special Topics (4)

From time to time a member of the regular faculty or a resident visitor will give a self-contained short course on a topic in his or her special area of research. This course is not offered on a regular basis, but it is estimated that it will be given once each academic year. Course may be taken for credit up to two times as topics vary (the course subtitle will be different for each distinct topic). Students who repeat the same topic in Physics 139 will have the duplicate credit removed from their academic record.** Prerequisites:** Physics 2A-B-C-D or 4A-B-C-D-E and Mathematics 20A-B-C and 20F or 18.

PHYS 140A. Statistical and Thermal Physics I (4)

Integrated treatment of thermodynamics and statistical mechanics; statistical treatment of entropy, review of elementary probability theory, canonical distribution, partition function, free energy, phase equilibrium, introduction to ideal quantum gases. **Prerequisites:** Physics 130A. (F)

PHYS 140B. Statistical and Thermal Physics II (4)

Applications of the theory of ideal quantum gases in condensed matter physics, nuclear physics and astrophysics; advanced thermodynamics, the third law, chemical equilibrium, low temperature physics; kinetic theory and transport in nonequilibrium systems; introduction to critical phenomena including mean field theory. **Prerequisites:** Physics 140A. (W)

PHYS 141. Computational Physics I: Probabilistic Models and Simulations (4)

Project-based computational physics laboratory
course with student’s choice of Fortran90/95, or C/C++. Applications
from materials science to the structure of the early universe are chosen
from molecular dynamics, classical and quantum Monte Carlo methods, physical
Langevin/Fokker-Planck processes. **Prerequisites:** upper-division
standing. (W)

PHYS 142. Computational Physics II: PDE and Matrix Models (4)

Project-based computational physics laboratory course for modern physics and engineering problems with student’s choice of Fortran90/95, or C/C++. Applications of finite element PDE models are chosen from quantum mechanics and nanodevices, fluid dynamics, electromagnetism, materials physics, and other modern topics. **Prerequisites:** upper-division standing. (S)

PHYS 151. Elementary Plasma Physics (4)

Particle motions, plasmas as fluids, waves, diffusion, equilibrium and stability, nonlinear effects, controlled fusion. Cross-listed with MAE 117A. **Prerequisites:** Mathematics 20D or 21D or consent of instructor. **Recommended preparation: **Physics 100B-C or ECE 107. (S)

PHYS 152A. Condensed Matter Physics (4)

Physics of the solid-state. Binding mechanisms, crystal structures and symmetries, diffraction, reciprocal space, phonons, free and nearly free electron models, energy bands, solid-state thermodynamics, kinetic theory and transport, semiconductors. **Prerequisites:** Physics 130A or Chemistry 133, and Physics 140A. (W)

PHYS 152B. Electronic Materials (4)

Physics of electronic materials. Semiconductors: bands, donors and acceptors, devices. Metals: Fermi surface, screening, optical properties. Insulators: dia-/ferro-electrics, displacive transitions. Magnets: dia-/para-/ferro-/antiferro-magnetism, phase transitions, low temperature properties. Superconductors: pairing, Meissner effect, flux quantization, BCS theory. **Prerequisites:** Physics 152A. (S)

PHYS 154. Elementary Particle Physics (4)

The constituents of matter (quarks and leptons) and their interactions (strong, electromagnetic, and weak). Symmetries and conservation laws. Fundamental processes involving quarks and leptons. Unification of weak and electromagnetic interactions. Particle-astrophysics and the Big Bang. **Prerequisites:** Physics 130B.

PHYS 160. Stellar Astrophysics (4)

Introduction to stellar astrophysics: observational properties of stars, solar physics, radiation and energy transport in stars, stellar spectroscopy, nuclear processes in stars, stellar structure and evolution, degenerate matter and compact stellar objects, supernovae and nucleosynthesis. **Prerequisites: **Physics 2A-B-C-D or 4A-B-C-D-E. Physics 160, 161, 162, and 163 may be taken as a four-quarter sequence in any order for students interested in pursuing graduate study in astrophysics or individually as topics of interest.

PHYS 161. Black Holes (4)

An introduction to Einstein’s theory of general relativity with emphasis on the physics of black holes. Topics will include metrics and curved space-time, the Schwarzchild metric, motion around and inside black holes, rotating black holes, gravitational lensing, gravity waves, Hawking radiation, and observations of black holes.** Prerequisites:** Physics 2A-B-C-D or 4A-B-C-D-E. Physics 160, 161, 162, and 163 may be taken as a four-quarter sequence in any order for students interested in pursuing graduate study in astrophysics or individually as topics of interest.

PHYS 162. Cosmology (4)

The expanding Universe, the Friedman-Robertson-Walker equations, dark matter, dark energy, and the formation of galaxies and large scale structure. Topics in observational cosmology, including how to measure distances and times, and the age, density, and size of the Universe. Topics in the early Universe, including the cosmic microwave background, creation of the elements, cosmic inflation, the big bang. **Prerequisites:** Physics 2A-D or 4A-E. Physics 160, 161, 162, and 163 may be taken as a four-quarter sequence in any order for students interested in pursuing graduate study in astrophysics or individually as topics of interest.

PHYS 163. Galaxies and Quasars (4)

An introduction to the structure and properties of galaxies in the universe. Topics covered include the Milky Way, the interstellar medium, properties of spiral and elliptical galaxies, rotation curves, starburst galaxies, galaxy formation and evolution, large-scale structure, and active galaxies and quasars. Physics 160, 161, 162, and 163 may be taken as a four-quarter sequence in any order for students interested in pursuing graduate study in astrophysics or individually as topics of interest.** Prerequisites:** Physics 2A-B-C-D or 4A-B-C-D-E.

PHYS 164. Observational Astrophysics Research Lab (4)

Project-based course developing tools and techniques of observational astrophysical research: photon counting, imaging, spectroscopy, astrometry; collecting data at the telescope; data reduction and analysis; probability functions; error analysis techniques; and scientific writing. **Prerequisites: **Physics 2A-B-C-D or 4A-B-C-D-E. **Recommended preparation: **concurrent enrollment or completion of one course from Physics 160, 161, 162, or 163 is recommended.

PHYS 170. Medical Instruments: Principles and Practice (4)

The principles and clinical applications of medical diagnostic instruments, including electromagnetic measurements, spectroscopy, microscopy; ultrasounds, X-rays, MRI, tomography, lasers in surgery, fiber optics in diagnostics. **Prerequisites:** Physics 1B-C or 2B-C or 4B-C.

PHYS 173. Modern Physics Laboratory: Biological and Quantum Physics (4)

A selection of experiments in contemporary
physics and biophysics. Students select among pulsed NMR, Mossbauer,
Zeeman effect, light scattering, holography, optical trapping, voltage
clamp and genetic transcription of ion channels in oocytes, fluorescent
imaging, and flight control in flies. **Prerequisites:** Physics
120, BILD 1, and Chemistry 7L. (S)

PHYS 175. Biological Physics (4)

This course teaches how quantitative models derived from statistical physics can be used to build quantitative, intuitive understanding of biological phenomena. Case studies include ion channels, cooperative binding, gene regulation, protein folding, molecular motor dynamics, cytoskeletal assembly, and biological electricity. ** Prerequisites: **Physics 100A and 110A or Chemistry 132. **Corequisites:** Physics 140A. (F)

PHYS 176. Quantitative Molecular Biology (4)

A quantitative approach to gene regulation including transcriptional and posttranscriptional control of gene expression, as well as feedback and stochastic effects in genetic circuits. These topics will be integrated into the control of bacterial growth and metabolism. **Prerequisites:** Physics 140A. **Recommended preparation:** an introductory course in biology is helpful but not necessary. (W)

PHYS 177. Physics of the Cell (4)

The use of dynamic systems and nonequilibrium statistical mechanics to understand the biological cell. Topics chosen from: chemotaxis as a model system; signal transduction networks and cellular information processing; mechanics of the membrane; cytoskeletal dynamics; nonlinear Calcium waves. May be scheduled with Physics 277. **Prerequisites:** upper-division standing. **Recommended preparation:** an introductory course in biology is helpful but not necessary. (S)

PHYS 178. Biophysics of Neurons and Networks (4)

Information processing by nervous system through physical reasoning and mathematical analysis. A review of the biophysics of neurons and synapses and fundamental limits to signaling by nervous systems is followed by essential aspects of the dynamics of phase coupled neuronal oscillators, the dynamics and computational capabilities of recurrent neuronal networks, and the computational capability of layered networks. **Prerequisites:** upper-division standing. **Recommended preparation:** a working knowledge of calculus and linear algebra. (W)

PHYS 191. Undergraduate Seminar on Physics (1)

Undergraduate seminars organized around the research interests of various faculty members. P/NP grades only. **Prerequisites:** Physics 2A or 4A. (F)

PHYS 192. Senior Seminar in Physics (1)

The Senior Seminar Program is designed to allow senior undergraduates to meet with faculty members in a small group setting to explore an intellectual topic in Physics (at the upper-division level). Senior Seminars may be offered in all campus departments. Topics will vary from quarter to quarter. Senior Seminars may be taken for credit up to four times, with a change in topic, and permission of the department. Enrollment is limited to twenty students, with preference given to seniors.

PHYS 198. Directed Group Study (2 or 4)

Directed group study on a topic or in a field not included in the regular departmental curriculum. (P/NP grades only.) **Prerequisites:** consent of instructor and departmental chair. (F,W,S)

PHYS 199. Research for Undergraduates (2 or 4)

Independent reading or research on a problem by special arrangement with a faculty member. (P/NP grades only.) **Prerequisites:** consent of instructor and departmental chair. (F,W,S)

PHYS 199H. Honors Thesis Research for Undergraduates (2-4)

Honors thesis research for seniors participating in the Honors Program. Research is conducted under the supervision of a physics faculty member. **Prerequisites:** admission to the Honors Program in Physics. (F,W,S)

## Graduate

PHYS 200A. Theoretical Mechanics I (4)

Lagrange’s equations and Hamilton’s principle; symmetry and constants of the motion. Applications to: charged particle motion; central forces and scattering theory; small oscillations; anharmonic oscillations; rigid body motion; continuum mechanics. (F)

PHYS 200B. Theoretical Mechanics II (4)

Hamilton’s equations, canonical transformations; Hamilton-Jacobi theory; action-angle variables and adiabatic invariants; introduction to canonical perturbation theory, nonintegrable systems and chaos; Liouville equation; ergodicity and mixing; entropy; statistical ensembles. **Prerequisites:** Physics 200A. (W)

PHYS 201. Mathematical Physics (5)

An introduction to mathematical methods used in theoretical physics. Topics include: a review of complex variable theory, applications of the Cauchy residue theorem, asymptotic series, method of steepest descent, Fourier and Laplace transforms, series solutions for ODE’s and related special functions, Sturm Liouville theory, variational principles, boundary value problems, and Green’s function techniques. (F)

PHYS 203A. Advanced Classical Electrodynamics I (5)

Electrostatics, symmetries of Laplace’s equation and methods for solution, boundary value problems, electrostatics in macroscopic media, magnetostatics, Maxwell’s equations, Green functions for Maxwell’s equations, plane wave solutions, plane waves in macroscopic media. (W)

PHYS 203B. Advanced Classical Electrodynamics II (4)

Special theory of relativity, covariant formulation of electrodynamics, radiation from current distributions and accelerated charges, multipole radiation fields, waveguides and resonant cavities. **Prerequisites:** Physics 203A. (S)

PHYS 210A. Equilibrium Statistical Mechanics (5)

Approach to equilibrium: BBGKY hierarchy;
Boltzmann equation; H-theorem. Ensemble theory; thermodynamic
potentials. Quantum statistics; Bose condensation. Interacting systems:
Cluster expansion; phase transition via mean-field theory; the Ginzburg
criterion. **Prerequisites:** Physics 200A-B. **Corequisites:** Physics 212C. (S)

PHYS 210B. Nonequilibrium Statistical Mechanics (4)

Transport phenomena; kinetic theory and the Chapman-Enskog method; hydrodynamic theory; nonlinear effects and the mode coupling method. Stochastic processes; Langevin and Fokker-Planck equation; fluctuation-dissipation relation; multiplicative processes; dynamic field theory; Martin-Siggia-Rose formalism; dynamical scaling theory. **Prerequisites:** Physics 210A. (F)

PHYS 211A. Solid-State Physics I (5)

The first of a two-quarter course in solid-state physics. Covers a range of solid-state phenomena that can be understood within an independent particle description. Topics include: chemical versus band-theoretical description of solids, electronic band structure calculation, lattice dynamics, transport phenomena and electrodynamics in metals, optical properties, semiconductor physics. (F)

PHYS 211B. Solid-State Physics II (4)

Deals with collective effects in solids arising from interactions between constituents. Topics include electron-electron and electron-phonon interactions, screening, band structure effects, Landau Fermi liquid theory. Magnetism in metals and insulators, superconductivity; occurrence, phenomenology, and microscopic theory. **Prerequisites:** Physics 210A, 211A. (Offered in alternate years.) (W)

PHYS 212A. Quantum Mechanics I (4)

Quantum principles of state (pure, composite, entangled, mixed), observables, time evolution, and measurement postulate. Simple soluble systems: two-state, harmonic oscillator, and spherical potentials. Angular momentum and spin. Time-independent approximations. (F)

PHYS 212B. Quantum Mechanics II (4)

Symmetry theory and conservation laws: time reversal, discrete, translation and rotational groups. Potential scattering. Time-dependent perturbation theory. Quantization of Electromagnetic fields and transition rates. Identical particles. Open systems: mixed states, dissipation, decoherence. **Prerequisites:** Physics 212A. (W)

PHYS 212C. Quantum Mechanics III (4)

Scattering with internal degrees of freedom. Path integrals, topological phases, and Bohm-Aharonov effect. Interacting fermions and bosons. Introductory quantum optics. The measurement problem. The relativistic electron. **Prerequisites:** Physics
212A-B. (S)

PHYS 214. Physics of Elementary Particles (4)

Classification of particles using symmetries and invariance principles, quarks and leptons, quantum electrodynamics, weak interactions, e+p- interactions, deep-inelastic lepton-nucleon scattering, pp collisions, introduction to QCD. **Prerequisites:** Physics 215A. (W)

PHYS 215A. Particles and Fields I (4)

The first quarter of a three-quarter course on field theory and elementary particle physics. Topics covered include the relation between symmetries and conservation laws, the calculation of cross sections and reaction rates, covariant perturbation theory, and quantum electrodynamics. (F)

PHYS 215B. Particles and Fields II (4)

Gauge theory quantization by means of path integrals, SU(3) symmetry and the quark model, spontaneous symmetry breakdown, introduction to QCD and the Glashow-Weinberg-Salam model of weak interactions, basic issues of renormalization. **Prerequisites:** Physics 215A. (W)

PHYS 215C. Particles and Fields III (4)

Modern applications of the renormalization
group in quantum chromodynamics and the weak interactions. Unified gauge
theories, particle cosmology, and special topics in particle theory. **Prerequisites:** Physics
215A-B. (Offered in alternate years.) (S)

PHYS 217. Field Theory and the Renormalization Group (4)

Application of field theoretic and renormalization group methods to problems in condensed matter, or particle physics. Topics will vary and may include: phase transition and critical phenomena; many body quantum systems; quantum chromodynamics and the electroweak model. **Prerequisites:** Physics 210A.

PHYS 218A. Plasma Physics I (4)

The basic physics of plasmas is discussed for the simple case of an unmagnetized plasma. Topics include: thermal equilibrium statistical properties, fluid and Landau theory of electron and ion plasma waves, velocity space instabilities, quasi-linear theory, fluctuations, scattering or radiation, Fokker-Planck equation. (F)

PHYS 218B. Plasma Physics II (4)

This course deals with magnetized plasma. Topics include: Appleton-Hartree theory of waves in cold plasma, waves in warm plasma (Bernstein waves, cyclotron damping). MHD equations, MHD waves, low frequency modes, and the adiabatic theory of particle orbits. **Prerequisites:** Physics 218A. (W)

PHYS 218C. Plasma Physics III (4)

This course deals with the physics of confined plasmas with particular relevance to controlled fusion. Topics include: topology of magnetic fields, confined plasma equilibria, energy principles, ballooning and kink instabilities, resistive MHD modes (tearing, rippling and pressure-driven), gyrokinetic theory, microinstabilities and anomalous transport, and laser-plasma interactions relevant to inertial fusion. **Prerequisites:** Physics 218B. (S)

PHYS 219. Condensed Matter/Materials Science Laboratory (4)

A project-oriented laboratory course utilizing state-of-the-art experimental techniques in materials science. The course prepares students for research in a modern condensed matter-materials science laboratory. Under supervision, the students develop their own experimental ideas after investigating current research literature. With the use of sophisticated state-of-the-art instrumentation students conduct research, write a research paper, and make verbal presentations. **Prerequisites:** Physics 211A. (S)

PHYS 220. Group Theoretical Methods in Physics (4)

Study of group theoretical methods with applications to problems in high energy, atomic, and condensed matter physics. Representation theory, tensor methods, Clebsh-Gordan series. Young tableaux. The course will cover discrete groups, Lie groups and Lie algebras, with emphasis on permutation, orthogonal, and unitary groups. **Prerequisites:** Physics 212C. (S)

PHYS 221A. Nonlinear and Nonequilibrium Dynamics of Physical Systems (4)

An introduction to the modern theory of dynamical systems and applications thereof. Topics include maps and flows, bifurcation theory and normal form analysis, chaotic attractors in dissipative systems, Hamiltonian dynamics and the KAM theorem, and time series analysis. Examples from real physical systems will be stressed throughout. **Prerequisites:** Physics 200B. (Offered in alternate years.) (W)

PHYS 222A. Elementary Particle Physics (4)

Weak interactions; neutrino physics; C,P,
and CP violation; electroweak gauge theory and symmetry breaking.
Design of detectors and experiments; searches for new phenomena. **Prerequisites:** Physics
214. (W)

PHYS 223. Stellar Structure and Evolution (4)

Energy generation, flow, hydrostatic equilibrium, equation of state. Dependence of stellar parameters (central surface temperature, radius, luminosity, etc.) on stellar mass and relation to physical constants. Relationship of these parameters to the H-R diagram and stellar evolution. Stellar interiors, opacity sources, radiative and convective energy flow. Nuclear reactions, neutrino processes. Polytropic models. White dwarfs and neutron stars. (S/U grades permitted.) (Offered in alternate years.) (F)

PHYS 224. Physics of the Interstellar Medium (4)

Gaseous nebulae, molecular clouds, ionized regions, and dust. Low-energy processes in neutral and ionized gases. Interaction of matter with radiation, emission and absorption processes, formation of atomic lines. Energy balance, steady state temperatures, and the physics and properties of dust. Masers and molecular line emission. Dynamics and shocks in the interstellar medium. (S/U grades permitted.) (Offered in alternate years.)

PHYS 225A-B. General Relativity (4-4)

This is a two-quarter course on gravitation and the general theory of relativity. The first quarter is intended to be offered every year and may be taken independently of the second quarter. The second quarter will be offered in alternate years. Topics covered in the first quarter include special relativity, differential geometry, the equivalence principle, the Einstein field equations, and experimental and observational tests of gravitation theories. The second quarter will focus on more advanced topics, including gravitational collapse, Schwarzschild and Kerr geometries, black holes, gravitational radiation, cosmology, and quantum gravitation. (225B offered in alternate years.) (F,W)

PHYS 226. Galaxies and Galactic Dynamics (4)

The structure and dynamics of galaxies. Topics include potential theory, the theory of stellar orbits, self-consistent equilibria of stellar systems, stability and dynamics of stellar systems including relaxation and approach to equilibrium. Collisions between galaxies, galactic evolution, dark matter, and galaxy formation. (Offered in alternate years.)

PHYS 227. Cosmology (4)

An advanced survey of topics in physical cosmology. The Friedmann models and the large-scale structure of the universe, including the observational determination of Ho (the Hubble constant) and qo (the deceleration parameter). Galaxy number counts. A systematic exposition of the physics of the early universe, including vacuum phase transitions; inflation; the generation of net baryon number, fluctuations, topological defects and textures. Primordial nucleosynthesis, both standard and nonstandard models. Growth and decay of adiabatic and isocurvature density fluctuations. Discussion of dark matter candidates and constraints from observation and experiment. Nucleocosmo-chronology and the determination of the age of the universe.** **(Offered in alternate years.)

PHYS 228. High-Energy Astrophysics and Compact Objects (4)

The physics of compact objects, including the equation of state of dense matter and stellar stability theory. Maximum mass of neutron stars, white dwarfs, and super-massive objects. Black holes and accretion disks. Compact X-ray sources and transient phenomena, including X-ray and g-ray bursts. The fundamental physics of electromagnetic radiation mechanisms: synchrotron radiation, Compton scattering, thermal and nonthermal bremsstrahlung, pair production, pulsars. Particle acceleration models, neutrino production and energy loss mechanisms, supernovae, and neutron star production. (Offered in alternate years.)

PHYS 230. Advanced Solid-State Physics (4)

Selection of advanced topics in solid-state physics; material covered may vary from year to year. Examples of topics covered: disordered systems, surface physics, strong-coupling superconductivity, quantum Hall effect, low-dimensional solids, heavy fermion systems, high-temperature superconductivity, solid and liquid helium. **Prerequisites:** Physics 211B. (S)

PHYS 232. Electronic Materials (4)

Physics of electronic materials. Semiconductors: bands, donors and acceptors, devices. Metals: Fermi surface, screening, optical properties. Insulators: dia-/ferro-electrics, displacive transitions. Magnets: dia-/para-/ferro-/antiferro-magnetism, phase transitions, low temperature properties. Superconductors: pairing, Meissner effect, flux quantization, BCS theory. **Prerequisites:** Physics 211A. (S)

PHYS 235. Nonlinear Plasma Theory (4)

This course deals with nonlinear phenomena in plasmas. Topics include: orbit perturbation theory, stochasticity, Arnold diffusion, nonlinear wave-particle and wave-wave interaction, resonance broadening, basics of fluid and plasma turbulence, closure methods, models of coherent structures. **Prerequisites:** Physics 218C. (Offered in alternate years.) (W)

PHYS 238. Observational Astrophysics Research Lab (4)

Project-based course developing tools and techniques of observational astrophysical research: photon counting, imaging, spectroscopy, astrometry; collecting data at the telescope; data reduction and analysis; probability functions; error analysis techniques; and scientific writing. Students will complete a final paper of publishable quality in the format of a peer-reviewed journal, as well as an oral presentation. **Recommended preparation: **undergraduate or graduate background in astrophysics.

PHYS 239. Special Topics (4)

From time to time a member of the regular faculty or a resident visitor will find it possible to give a self-contained short course on an advanced topic in his or her special area of research. This course is not offered on a regular basis, but it is estimated that it will be given once each academic year. (S/U grades permitted.)

PHYS 241. Computational Physics I: Probabilistic Models and Simulations (4)

Project-based computational physics laboratory course with student’s choice of Fortran90/95 or C/C++. Applications from materials science to the structure of the early universe are chosen from molecular dynamics, classical and quantum Monte Carlo methods, physical Langevin/Fokker-Planck processes, and other modern topics. (W)

PHYS 242. Computational Physics II: PDE and Matrix Models (4)

Project-based computational physics laboratory course for modern physics and engineering problems with student’s choice of Fortran90/95 or C/C++. Applications of finite element PDE models are chosen from quantum mechanics and nanodevices, fluid dynamics, electromagnetism, materials physics, and other modern topics. (S)

PHYS 243. Stochastic Methods (4)

Introduction to methods of stochastic modeling and simulation. Topics include: random variables; stochastic processes; Markov processes; one-step processes; the Fokker-Planck equation and Brownian motion; the Langevin approach; Monte-Carlo methods; fluctuations and the Boltzmann equation; and stochastic differential equations. (F)

PHYS 244. Parallel Computing in Science and Engineering (4)

Introduction to basic techniques of parallel computing, the design of parallel algorithms, and their scientific and engineering applications. Topics include: parallel computing platforms; message-passing model and software; design and application of parallel software packages; parallel visualization; parallel applications. (S)

PHYS 250. Condensed Matter Physics Seminar (0-1)

Discussion of current research in physics of the solid state and of other condensed matter. (S/U grades only.) (F,W,S)

PHYS 251. High-Energy Physics Seminar (0-1)

Discussions of current research in nuclear physics, principally in the field of elementary particles. (S/U grades only.) (F,W,S)

PHYS 252. Plasma Physics Seminar (0-1)

Discussions of recent research in plasma physics. (S/U grades only.) (F,W,S)

PHYS 253. Astrophysics and Space Physics Seminar (0-1)

Discussions of recent research in astrophysics and space physics. (S/U grades only.) (F,W,S)

PHYS 254. Biophysics Seminar (1)

Presentation of current research in biological physics and quantitative biology by invited speakers from the U.S. and abroad. (S/U grades only.) May be taken for credit thirty times. (F,W,S)

PHYS 255. Biophysics Research Talks (1)

Discussion of recent research in biological physics and quantitative biology by current graduate students. (S/U grades only.) May be taken for credit thirty times. (F,W,S)

PHYS 256. Critical Reading in Quantitative Biology (1)

Critical analysis of classic and current literature in quantitative biology, involving written critiques and group discussion. (S/U grades only.) May be taken for credit thirty times. (F,W,S)

PHYS 257. High-Energy Physics Special Topics Seminar (0-1)

Discussions of current research in high-energy physics. (S/U grades only.) (F,W,S)

PHYS 258. Astrophysics and Space Physics Special Topics Seminar (0-1)

Discussions of current research in astrophysics and space physics. (S/U grades only.) (F,W,S)

PHYS 260. Physics Colloquium (0-1)

Discussions of recent research in physics directed to the entire physics community. (S/U grades only.) (F,W,S)

PHYS 261. Seminar on Physics Research at UC San Diego (0-1)

Discussions of current research conducted by faculty members in the Department of Physics. (S/U grades only.) (W,S)

PHYS 264. Scientific Method Seminar (1)

Discussions of the application of the scientific method in the natural sciences. (S/U grades only.) May be taken for credit twenty-five times. (F,W,S)

PHYS 270A. Experimental Techniques for Quantitative Biology (4)

A hands-on laboratory course in which the students learn and use experimental techniques, including optics, electronics, chemistry, machining, and computer interface, to design and develop simple instruments for quantitative characterization of living systems. Lab classes will comprise five two-week modules. **Prerequisites:** department approval required. **Recommended preparation:** knowledge of electronics and optics at the level of introductory calculus, basic statistics, programming skills; knowledge of introductory biology. (F)

PHYS 270B. Quantitative Biology Laboratory (4)

A project-oriented laboratory course in which students are guided to develop their own ideas and tools, along with using state-of-art instruments to investigate a biological problem of current interest, under the direction of a faculty member. A range of current topics in quantitative biology is available, including microbiology, molecular and cell biology, developmental biology, synthetic biology, and evolution. This course may be repeated up to ten times for credit as long as the student works on a different project. **Prerequisites:** Physics 270A. Department approval required. (F,W,S)

PHYS 273. Information Theory and Pattern Formation in Biological Systems (4)

This course discusses how living systems acquire information on their environment and exploit it to generate structures and perform functions. Biological sensing of concentrations, reaction-diffusion equations, the Turing mechanism, and applications of information theory to cellular transduction pathways and animal behavior will be presented. **Recommended preparation:** familiarity with probabilities at the level of undergraduate statistical mechanics and major cellular processes; basic knowledge of information theory. (W)

PHYS 274. Stochastic Processes in Population Genetics (4)

The course explores genetic diversity within biological populations. Genetics fundamentals, mutation/selection equilibria, speciation, Wright-Fisher model, Kimura’s neutral theory, Luria-Delbrück test, the coalescent theory, evolutionary games and statistical methods for quantifying genetic observables such as SNPs, copy number variations, etc., will be discussed. **Recommended preparation:** familiarity with probabilities and PDEs at the undergraduate level; an introduction to basic evolutionary processes. (S)

PHYS 275. Fundamentals of Biological Physics (4)

This course teaches how quantitative models derived from statistical physics can be used to build quantitative, intuitive understanding of biological phenomena. Case studies include ion channels, cooperative binding, gene regulation, protein folding, molecular motor dynamics, cytoskeletal assembly, and biological electricity. **Recommended preparation:** an introduction to statistical mechanics, at least at the level of Physics 140A or Chemistry 132. (F)

PHYS 276. Quantitative Molecular Biology (4)

A quantitative approach to gene regulation, including transcriptional and posttranscriptional control of gene expression, as well as feedback and stochastic effects in genetic circuits. These topics will be integrated into the control of bacterial growth and metabolism. **Recommended preparation:** an introductory course in biology is helpful but not necessary. (W)

PHYS 277. Physics of the Cell (4)

The use of dynamic systems and nonequilibrium statistical mechanics to understand the biological cell. Topics chosen from chemotaxis as a model system, signal transduction networks and cellular information processing, mechanics of the membrane, cytoskeletal dynamics, nonlinear Calcium waves. The graduate version will include a report at the level of a research paper. May be scheduled with Physics 177. **Recommended preparation:** an introductory course in biology is helpful but not necessary. (S)

PHYS 278. Biophysics of Neurons and Networks (4)

Information processing by nervous system through physical reasoning and mathematical analysis. A review of the biophysics of neurons and synapses and fundamental limits to signaling by nervous systems is followed by essential aspects of the dynamics of phase coupled neuronal oscillators, the dynamics and computational capabilities of recurrent neuronal networks, and the computational capability of layered networks. **Recommended preparation:** a working knowledge of calculus and linear algebra. (W)

PHYS 279. Neurodynamics (4)

Introduction to the nonlinear dynamics of neurons and simple neural systems through nonlinear dynamics, bifurcation theory, and chaotic motions. The dynamics of single cells is considered at different levels of abstraction, e.g., biophysical and “reduced” models for analysis of regularly spiking and bursting cells, their dynamical properties, and their representation in phase space. Laboratory exercises will accompany the lectures. Duplicate credit not allowed for cross-listed courses: BGGN 260, BENG 260, and PHYS 279.

PHYS 281. Extensions in Physics (1-3)

This course covers topics not traditionally taught as part of a normal physics curriculum, but nonetheless useful extensions to the classic pedagogy. Example topics may include estimation, nuclear physics, fluid mechanics, and scaling relationships.

PHYS 295. MS Thesis Research in Materials Physics (1-12)

Directed research on MS dissertation topic. (F,W,S)

PHYS 297. Special Studies in Physics (1-4)

Studies of special topics in physics under the direction of a faculty member. **Prerequisites:** consent of instructor and departmental vice chair, education. (S/U grades permitted.) (F,W,S)

PHYS 298. Directed Study in Physics (1-12)

Research studies under the direction of a faculty member. (S/U grades permitted.) (F,W,S)

PHYS 299. Thesis Research in Physics (1-12)

Directed research on dissertation topic. (F,W,S)

PHYS 500. Instruction in Physics Teaching (1-4)

This course, designed for graduate students, includes discussion of teaching, techniques and materials necessary to teach physics courses. One meeting per week with course instructors, one meeting per week in an assigned recitation section, problem session, or laboratory section. Students are required to take a total of two units of Physics 500. (F,W,S)