# Course List with Descriptions

### Fall 2018

- ASTR 001. Introductory Astronomy
The scientific investigation of the universe by observation and theory, including the basic notions of physics as needed in astronomical applications. Topics may include the appearance and motions of the sky; history of astronomy; astronomical instruments and radiation; the sun and planets; properties, structure, and evolution of stars; the galaxy and extragalactic systems; the origin and evolution of the universe; and prospects for life beyond Earth.

- Natural sciences and engineering practicum.
- Evening labs required.
- 1 credit.
- Jensen.

- ASTR 016. Astrophysics: Stars, ISM, and Galaxies
This is a one-semester calculus- and physics-based introduction to astrophysics as applied to stars, the interstellar medium, and galaxies.

- Prerequisite:
MATH 015 and MATH 025, and some prior work in calculus-based physics (which could include high school physics). Recommended (but not required) pre- or co-requisites are PHYS 013; PHYS 015; and/or PHYS 007 or PHYS 003. Interested students who have not met these prerequisites should consult with the instructor.

- Natural sciences and engineering.
- Evening labs and observing sessions required.
- 1 credit.
- Cohen.

- ASTR 094. Research Project
(Cross-listed as PHYS 094)

- Staff.

- ASTR 180. Honors Thesis
(Cross-listed as PHYS 180)

- 1 or 2 credits.
- Staff.

- PHYS 003. General Physics I
Topics include vectors, kinematics, Newton's laws and dynamics, conservation laws, work and energy, oscillatory motion, systems of particles, and rigid body rotation. Possible additional topics are special relativity and thermodynamics.

- Prerequisite:
(or Concurrently) MATH 015

- Natural sciences and engineering practicum.
- Lab required.
- 1 credit.
- Ko.

- PHYS 005. Spacetime and Quanta
This course presents an introduction to the twin pillars of contemporary physics: relativity and quantum theory. Students will explore the counterintuitive consequences of special relativity for our understanding of space and time, and the nature of the subatomic quantum world, where our notions of absolute properties such as position or speed of a particle are replaced by probabilities. It is the usual entry point to majoring or minoring in astronomy, astrophysics, or physics, and is a pre or co-requisite for the sophomore-level physics major curriculum; it welcomes both non-majors and prospective majors who are interested in engaging rigorously and deeply with both the mathematical and conceptual descriptions of physics.

Not eligible for NSEP credit.

- Natural sciences and engineering.
- 1 credit.
- Graves.

- PHYS 007. Introductory Mechanics
An introduction to classical mechanics. This course is suitable for potential majors, as well as students in other sciences or engineering who would like a course with more mathematical rigor and depth than PHYS 003. Includes the study of kinematics and dynamics of point particles; conservation principles involving energy, momentum and angular momentum; rotational motion of rigid bodies, and oscillatory motion.

Lab used for hands-on experimentation and occasionally for workshops that expand on lecture material.

- Prerequisite:
MATH 025 (can be taken concurrently), PHYS 005 or permission of the instructor.

- Natural sciences and engineering practicum.
- Lab required.
- 1 credit.
- Smith, H.

- PHYS 063. Procedures in Experimental Physics
Techniques, materials, and the design of experimental apparatus; shop practice; printed circuit design and construction. This is a 0.5-credit course open only to majors in physics, astrophysics, or astronomy.

- 0.5 credit.
- Technical staff.

- PHYS 081. Advanced Laboratory I
This is the first of a two-semester sequence designed to fulfill the physics major advanced laboratory requirement. Students will perform projects in digital electronics. They will also perform experiments chosen from among the areas of thermal and statistical physics, solid state, atomic, plasma, nuclear, biophysics, condensed matter physics, and advanced optics.

- Writing course.
- 0.5 credit.
- Brown, M.

- PHYS 082. Advanced Laboratory II
This is the second of a two-semester sequence designed to fulfill the physics major advanced laboratory requirement. Students will perform projects in digital electronics. They will also perform experiments chosen from among the areas of thermal and statistical physics, solid state, atomic, plasma, nuclear, biophysics, condensed matter physics, and advanced optics. When both PHYS 081 and PHYS 082 are taken, students will receive credit for having completed a writing (W) course.

When both PHYS 081 and PHYS 082 are taken, students will receive credit for having completed a writing (W) course.

- Writing course.
- 0.5 credit.
- Staff.

- PHYS 083. Advanced Laboratory I and II
This course is designed to fulfill the physics major advanced laboratory requirement for students who have already had sufficient experience with digital electronics (ENGR 072 or the equivalent). Students will perform experiments chosen from among the areas of thermal and statistical physics, solid state, atomic, plasma, nuclear, biophysics, condensed matter physics, and advanced optics.

- Writing course.
- 0.5 credit.
- Staff.

- PHYS 093. Directed Reading
This course provides an opportunity for an individual student to do special study, with either theoretical or experimental emphasis, in fields not covered by the regular courses and seminars. The student will present oral and written reports to the instructor.

- 0.5, 1, or 2 credits.
- Staff.

- PHYS 094. Research Project
Initiative for a research project may come from the student, or the work may involve collaboration with ongoing faculty research. The student will present a written and an oral report to the department.

- 0.5, 1, or 2 credits.
- Staff.

- PHYS 111. Analytical Dynamics
Intermediate classical mechanics. Motion of a particle in one, two, and three dimensions; Kepler's laws and planetary motion; phase space; oscillatory motion; Lagrange equations and variational principles; systems of particles; collisions and cross sections; motion of a rigid body; Euler's equations; rotating frames of reference; small oscillations; normal modes; and wave phenomena.

- Prerequisite:
- Natural sciences and engineering.
- 1 credit.
- Light.

- PHYS 112. Electrodynamics
Electricity and magnetism using vector calculus, electric and magnetic fields, dielectric and magnetic materials, electromagnetic induction, Maxwell's field equations in differential form, displacement current, Poynting theorem and electromagnetic waves, boundary-value problems, radiation and four-vector formulation of relativistic electrodynamics.

- Natural sciences and engineering.
- 1 credit.
- Brown.

- PHYS 180. Honors Thesis
Theoretical or experiment work culminating in a written honors thesis. Also includes an oral presentation to the department. This course must be completed by the end of, and is normally taken in, the fall semester of the student's final year.

- 1 or 2 credits.
- Staff.

### Spring 2019

- ASTR 014. Astrophysics: Solar System and Cosmology
This course assumes no prior knowledge of astronomy, but knowledge of some basic physics as well as elementary calculus. It focuses on two major topics of current interest in astrophysics: (1) Solar System and planetary science and (2) cosmology, the large-scale study of the universe, its history and content.

- Prerequisite:
MATH 015 and (concurrently) MATH 025, or equivalent, and some prior work in calculus-based physics (which could include high school physics). Interested students who have not met these prerequisites should consult with the instructor. This course should be accessible to some students who have completed ASTR 001.

- Natural sciences and engineering.
- Evening labs and observing sessions required.
- 1 credit.
- Jensen.

- ASTR 061. Current Problems in Astronomy and Astrophysics
Reading and discussion of selected research papers from the astronomical literature. Techniques of journal reading, use of abstract services, and other aids for the efficient maintenance of awareness in a technical field.

Graded CR/NC. May be repeated for credit.

- Prerequisite:
- 0.5 credit.
- Jensen.

- ASTR 094. Research Project
(Cross-listed as PHYS 094)

- Staff.

- ASTR 123. Stellar Astrophysics
An overview of physics of the stars, both atmospheres and interiors. Topics may include hydrostatic and thermal equilibrium, radiative and convective transfer nuclear energy generation, degenerate matter, calculation of stellar models, interpretation of spectra, stellar evolution, white dwarfs and neutron stars, nucleosynthesis, supernovae, and star formation.

- Prerequisite:
PHYS 013, ASTR 016, ASTR 014

Recommended: PHYS 017 and PHYS 018 - Natural sciences and engineering.
- 1 credit.
- Cohen.

- ASTR 180. Honors Thesis
(Cross-listed as PHYS 180)

- 1 or 2 credits.
- Staff.

- PHYS 002E. First-Year Seminar: Energy
This seminar will cover both the physics and policy of energy in all its forms. Topics include the physical basis for energy; thermodynamics and engines; energy sources (fossil fuels, solar, photovoltaics, nuclear); transportation; the electric grid; and climate change.

- Prerequisite:
High school algebra.

- Natural sciences and engineering.
- 1 credit.
- Eligible for ENVS
- Brown.

- PHYS 004. General Physics II
Topics include wave phenomena, geometrical and physical optics, electricity and magnetism, and direct and alternating current circuits. Possible additional topics may be added.

- Prerequisite:
PHYS 003 or the permission of the instructor, MATH 025 (can be taken concurrently).

- Natural sciences and engineering practicum.
- Lab required.
- 1 credit.
- Light.

- PHYS 004L. General Physics II: Electricity, Magnetism, and Optics with Biochemical and Biomedical Applications
PHYS 004L will cover the same topics as PHYS 004 but will emphasize biological, biochemical, and medical applications of those topics. The course will meet medical school requirements (in conjunction with PHYS 003) and will include a weekly laboratory. Students who wish to take PHYS 004L before PHYS 003 must have some high school physics background and obtain permission from the instructor.

- Prerequisite:
MATH 015 or a more advanced calculus course; PHYS 003 or permission of the instructor.

- Natural sciences and engineering practicum.
- 1 credit.
- Geller.

- PHYS 008. Electricity, Magnetism, and Waves
A sophisticated introductory treatment of wave and electric and magnetic phenomena, such as oscillatory motion, forced vibrations, coupled oscillators, Fourier analysis of progressive waves, boundary effects and interference, the electrostatic field and potential, electrical work and energy, D.C. and A.C. circuits, the relativistic basis of magnetism, Maxwell's equations, and geometrical optics.

- Prerequisite:
PHYS 007 (or permission of instructor); MATH 033 (can be taken concurrently).

- Natural sciences and engineering practicum.
- Includes one laboratory weekly.
- 1 credit.
- Brown.

- PHYS 008S. Electricity, Magnetism, and Waves - Intensive
An alternate pathway through the material covered by Physics 008 (electricity, magnetism, and electromagnetic waves), but beginning with a more concrete, physical approach and moving to a more abstract approach after laying an initial foundation. Students will participate in the Physics 004 course meetings and laboratories during the first nine weeks of the semester, which are devoted to electricity and magnetism, supplemented by once-per-week hour-long meetings with the Physics 008S instructor to apply multivariable calculus to the material covered that week. During the last five weeks, Physics 008S students will receive their own instruction in the remaining topics covered in Physics 008, and will participate in the Physics 008 laboratories. Physics 008S will reach the same final point as Physics 008, thereby providing equivalent preparation for Physics 112 and other advanced physics and astrophysics courses.

Recommended for students concurrently enrolled in multivariable calculus, and/or for those who have had very little exposure to electricity and magnetism in previous (high school) physics classes.

Permission of the instructor is required to enroll.Weekly out-of-class meetings will be scheduled after registration, taking all students' schedules into account.

- Prerequisite:
PHYS 007 and permission of instructor

- Natural sciences and engineering practicum.
- Lab required.
- 1 credit.
- Geller.

- PHYS 013. Thermodynamics / Statistical Mechanics
A half-semester introductory course in thermal and statistical physics. Topics include energy, heat, work, entropy, temperature (the First, Second and "Third" Laws of Thermodynamics), heat capacity, ideal gases, paramagnetism, phase transitions, and the chemical potential. This course serves as a prerequisite for PHYS 114 and for PHYS 135.

- Prerequisite:
single-variable calculus (MATH 025 or MATH 026); may be taken as a corequisite with permission of the instructor.

- This class has a weekly laboratory requirement.
- 0.5 credit.
- Smith, H.

- PHYS 015. Optics
A half-semester introduction to geometric and wave optics, including ray diagrams, matrix optics, polarization, Jones matrices, interference, and diffraction.

- Prerequisite:
single-variable calculus (MATH 025 or MATH 026); may be taken as a corequisite with permission of the instructor.

- Lab required.
- 0.5 credit.
- Smith, H.

- PHYS 017. Mathematical Methods of Physics
A half-semester survey of mathematical techniques useful in physics. Topics include eigenvalue problems, Fourier analysis, solutions to ordinary and partial differential equations, special functions, the theory of residues, and numerical methods.

- Prerequisite:
linear algebra (MATH 027, MATH 028, or MATH 028S); corequisite: multivariable calculus (MATH 033, MATH 034, or MATH 035).

- Lab required.
- 0.5 credit.
- Graves.

- PHYS 018. Quantum Mechanics
A half-semester introductory course in quantum mechanics. Topics include waves, photons, the Schrodinger equation, Dirac notation, one-dimensional potentials, quantized angular momentum, and central potentials. This course serves as a prerequisite for PHYS 113.

- Prerequisite:
- Lab required.
- 0.5 credit.
- Light.

- PHYS 081. Advanced Laboratory I
This is the first of a two-semester sequence designed to fulfill the physics major advanced laboratory requirement. Students will perform projects in digital electronics. They will also perform experiments chosen from among the areas of thermal and statistical physics, solid state, atomic, plasma, nuclear, biophysics, condensed matter physics, and advanced optics.

- Writing course.
- 0.5 credit.
- Light, A.

- PHYS 082. Advanced Laboratory II
This is the second of a two-semester sequence designed to fulfill the physics major advanced laboratory requirement. Students will perform projects in digital electronics. They will also perform experiments chosen from among the areas of thermal and statistical physics, solid state, atomic, plasma, nuclear, biophysics, condensed matter physics, and advanced optics. When both PHYS 081 and PHYS 082 are taken, students will receive credit for having completed a writing (W) course.

When both PHYS 081 and PHYS 082 are taken, students will receive credit for having completed a writing (W) course.

- Writing course.
- 0.5 credit.
- Staff.

- PHYS 083. Advanced Laboratory I and II
This course is designed to fulfill the physics major advanced laboratory requirement for students who have already had sufficient experience with digital electronics (ENGR 072 or the equivalent). Students will perform experiments chosen from among the areas of thermal and statistical physics, solid state, atomic, plasma, nuclear, biophysics, condensed matter physics, and advanced optics.

- Writing course.
- 0.5 credit.
- Staff.

- PHYS 093. Directed Reading
This course provides an opportunity for an individual student to do special study, with either theoretical or experimental emphasis, in fields not covered by the regular courses and seminars. The student will present oral and written reports to the instructor.

- 0.5, 1, or 2 credits.
- Staff.

- PHYS 094. Research Project
Initiative for a research project may come from the student, or the work may involve collaboration with ongoing faculty research. The student will present a written and an oral report to the department.

- 0.5, 1, or 2 credits.
- Staff.

- PHYS 113. Quantum Theory
Postulates of quantum mechanics, operators, eigenfunctions, and eigenvalues, function spaces and hermitian operators; bra-ket notation, superposition and observables, fermions and bosons, time development, conservation theorems, and parity; angular momentum, three-dimensional systems, matrix mechanics and spin, coupled angular momenta, time-independent and time-dependent perturbation theory.

- Prerequisite:
- Natural sciences and engineering.
- 1 credit.
- Ko.

- PHYS 114. Statistical Physics
The statistical behavior of classical and quantum systems; temperature and entropy; equations of state; engines and refrigerators; statistical basis of thermodynamics; microcanonical, canonical, and grand canonical distributions; phase transitions; statistics of bosons and fermions; black body radiation; electronic and thermal properties of quantum liquids and solids.

- Prerequisite:
- Natural sciences and engineering.
- 1 credit.
- Brown.

- PHYS 180. Honors Thesis
Theoretical or experiment work culminating in a written honors thesis. Also includes an oral presentation to the department. This course must be completed by the end of, and is normally taken in, the fall semester of the student's final year.

- 1 or 2 credits.
- Staff.