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Historically, the discipline of physics is identified as the branch of science that seeks to discover, unify, and apply the most basic laws of nature. Our curriculum introduces students to its principal subfields—electromagnetism, mechanics, thermal physics, optics, and quantum mechanics—and provides the most extensive training in mathematical and analytical methods of any of the sciences. Since this is the foundation upon which all other sciences and engineering are based, the study of physics provides a strong background for students who plan careers in areas such as physics, astrophysics, astronomy, geophysics, oceanography, meteorology, engineering, operations research, teaching, medicine, and law. Because physics is interested in first causes, it has a strong connection to philosophy as well.
Increasingly in the modern era, physicists have turned their attention to areas in which their analytical and experimental skills are particularly demanded, exploring such things as nanotechnology, controlled nuclear fusion, the evolution of stars and galaxies, the origins of the universe, the properties of matter at ultra-low temperatures, the creation and characterization of new materials for laser and electronics technologies, biophysics and biomedical engineering, and even the world of finance.
PHYS 150 and 160 have a calculus co-requisite and are intended for students majoring in the natural sciences or other students with a strong interest in science. Courses with numbers lower than 150 are particularly suitable for students not majoring in a physical science. Prerequisites for any course may be waived at the discretion of the instructor. Grades in courses comprising the major or the minor must average C- or better.
BINARY ENGINEERING PLAN
A joint-degree engineering program is offered with Columbia University and The Thayer School of Engineering at Dartmouth. Upon completion of three years at Hobart and William Smith Colleges and two years at an engineering school, a student will receive a B.S. in engineering from the engineering school and either a B.A. or a B.S. from Hobart or William Smith. Majoring in physics here provides the best preparation for further work in most engineering fields. See “Joint Degree Programs” elsewhere in the Catalogue for details.
REQUIREMENTS FOR THE MAJOR (B.A.)
disciplinary, 12 courses
PHYS 150, PHYS 160, PHYS 270, PHYS 285, PHYS 383, MATH 130 Calculus I, MATH 131 Calculus II, and five additional courses in physics at the 200- or 300-level. A course at the 200- or 300-level from another science division department may be substituted for a physics course with the approval of the department chair.
REQUIREMENTS FOR THE MAJOR (B.S.)
disciplinary, 16 courses
All of the requirements for the B.A. physics major, plus four additional courses in the sciences. Only those courses which count toward the major in the departments that offer them satisfy this requirement.
REQUIREMENTS FOR THE MINOR
disciplinary, 6 courses
PHYS 150, PHYS 160, PHYS 270, and three additional physics courses.
110 “Beam Me Up, Einstein”: Physics Through Star Trek Can you really learn physics watching Star Trek? This course says “yes.” Students consider such Star Trek staples as warp drive, cloaking devices, holodecks, and time travel and learn what the principles of physics tell us about these possibilities—and what these possibilities would mean for the principles of physics. Anyone who has ever enjoyed a science fiction book or movie will find that using Star Trek offers an excellent context for learning about a variety of topics in physics, including black holes, antimatter, lasers, and other exotic phenomena. (Offered periodically)
112 Introduction to Astronomy This course offers a survey of the celestial universe, including planets, stars, galaxies, and assorted other celestial objects which are not yet well understood. The Big Bang cosmological model is thoroughly explored, as are the various observational techniques employed to collect astronomical data. (Offered annually)
113 The Solar System and Extra-solar Planets This course is designed to help the student understand the nature and process of science by studying the subject of astronomy. Specifically, this course provides an introduction to the general physical and observational principles necessary to understand the celestial bodies. We will specifically discuss what is known about our Solar System, including the Sun, the rocky and gaseous planets and their moons, and the minor planets and asteroids. The course will culminate in an overview of the discovery and characterization of planets around other stars where we will begin to put our Solar System in the context of other recently discovered exo-solar systems.
115 Astrobiology and the Search for Life in the Universe Astrobiology is the scientific study of the origin and evolution of life in the Universe. It brings together perspectives from astronomy, planetary science, geoscience, paleontology, biology and chemistry to examine the origin of life on Earth and the possibility of life elsewhere in the Universe. This course is designed to help students understand the nature and process of science through the lens of astrobiology. We will explore questions such as : What is life? How did I arise on Earth? Where else in the Universe might life be found? How do we know about the early history of life on Earth? And how do we search for life elsewhere? We will evaluate current theories on how life began and evolved on Earth and how the presence of life changed the Earth. We will review current understanding on the range of habitable planets in our solar system and around other stars. And we will discuss what life might look like on these other planets and what techniques we could use to detect it. This course is designed to fulfill a student's goal of experiencing scientific inquiry and understanding the nature of scientific knowledge. It does not count toward the major in Geoscience or Physics. ( Arens, Hebb, Kendrick, offered annually)
120 Physics of Dance The course is an exploration of the connection between the art of dance and the science of motion with bout lecture/discussion sessions and movement laboratories. Topics include: velocity, acceleration , mass, force, energy, momentum, torque, equilibrium, rotation and angular momentum. "Dance it-Measure it" is the movement laboratory which combines personal experience of movement with scientific measurements and analysis. This is a science lab, not a dance technique course.
140 Principles of Physics This is a one-semester survey course in physics with laboratory, which makes use of algebra and trigonometry, but not calculus. It is designed particularly for Architectural Studies students, for whom it is a required course. It also provides a serious, problem-solving introduction to physics for students not wishing to learn calculus. The following topics are included: mechanics (particularly statics, stress, and strain), sound, and heat. This course satisfies the physics prerequisite for PHYS 160. (Offered annually)
150 Introductory Physics I This is a calculus-based first course in mechanics and waves with laboratory. Prerequisite: MATH 130 Calculus I (may be taken concurrently). (Offered annually)
160 Introductory Physics II This course offers a calculus-based first course in electromagnetism and optics with laboratory. Prerequisites: PHYS 150 and MATH 131 Calculus II (may be taken concurrently). (Offered annually)
240 Electronics This course offers a brief introduction to AC circuit theory, followed by consideration of diode and transistor characteristics, simple amplifier and oscillator circuits, operational amplifiers, and IC digital electronics. With laboratory. Prerequisite: PHYS 160. (Offered alternate years)
262 Applied Photonics This course surveys new optical technologies widely used to control light with an emphasis on generation, detection, and imaging. These include new techniques in microscopy relevant to biological applications and nanotechnology, applications of lasers in micromanipulation, optical trapping, quantum-dots, and fluorescence imaging of cells and single molecules. Prerequisites: PHYS 160 and MATH 131 Calculus II or permission of the instructor. (Offered alternate years)
270 Modern Physics This course, which includes a laboratory component, provides a comprehensive introduction to 20th century physics. Topics are drawn from the following: special relativity, early quantum views of matter and light, the Schrödinger wave equation and its applications, atomic physics, masers and lasers, radioactivity and nuclear physics, the band theory of solids, and elementary particles. Prerequisites: PHYS 160 and MATH 131 Calculus II. (Offered annually)
285 Math Methods This course covers a number of mathematical topics that are widely used by students of science and engineering. It is intended particularly to prepare physics majors for the mathematical demands of 300-level physics courses. Math and chemistry majors also find this course quite helpful. Techniques that are useful in physical science problems are stressed. Topics are generally drawn from power series, complex variables, matrices and eigenvalues, multiple integrals, Fourier series, Laplace transforms, differential equations and boundary value problems, and vector calculus. Prerequisite: MATH 131 Calculus II. (Offered annually)
287 Computational Methods in Physics This course covers the theory and methodology of the most common computational methods used in modern physics. Topics typically include the statistics of data analysis, techniques of linear and nonlinear fitting, discrete Fourier analysis, eigenvalues and linear systems, signal processing, numerical solutions of differential equations, numerical integration, and symbolic computing. Additional topics may include complex analysis, finite element modeling, and control theory. Students learn to solve problems with software such as MatLab and Maple. Prerequisite: PHYS 285. (Offered annually)
351 Mechanics Particle dynamics and energy, potential functions, oscillations, central forces, dynamics of systems and conservation laws, rigid bodies, rotating coordinate systems, Lagrangian and Hamiltonian methods are explored in this course. Prerequisites: PHYS 160 and MATH 131 Calculus II. (Offered alternate years)
352 Quantum Mechanics This course develops quantum mechanics, primarily in the Schrödinger picture. Topics include the solutions of the Schrödinger equation for simple potentials, measurement theory and operator methods, angular momentum, quantum statistics, perturbation theory and other approximate methods. Applications to such systems as atoms, molecules, nuclei, and solids are considered. Prerequisite: PHYS 270. (Offered alternate years)
355 Classical and Quantum Information and Computing This course covers the intersection of physics with the study of information. There are two broad areas to this subject. One is the area of overlap with classical physics and the appearance of entropy in the study of computation. The other is the area of overlap with quantum physics, reflected in the explosive growth of the potentially revolutionary area of quantum computing. Topics will be drawn from Shannon’s theory of information; reversible and irreversible classical computation; the no-cloning theorem; EPR states and entanglement; Shor’s algorithm and other quantum algorithms; quantum error correction; quantum encryption; theoretical aspects of quantum computing; and physical models for quantum computing. Prerequisite: Two 300-level courses in one of Physics, Mathematics, or Computer Science. (Offered alternate years)
361 Electricity and Magnetism In this course, students examine the vector calculus treatment of electric and magnetic fields in both free space and in dielectric and magnetic materials. Scalar and vector potentials, Laplace’s equation, and Maxwell’s equations are treated. Prerequisites: PHYS 160 and MATH 131 Calculus II. (Offered alternate years)
362 Optics A survey of optics that includes geometrical optics, the usual topics of physical optics such as interference and diffraction, and lasers. Prerequisites: PHYS 160 and MATH 131 Calculus II. (Offered alternate years)
370 Relativity, Spacetime, and Gravity This course covers the ideas and some of the consequences of Einstein’s special and general theories of relativity. Topics include postulates of special relativity, paradoxes in special relativity, geometry of Minkowski space, geometry of curved spacetime, geodesics, exact solutions of the field equations, tests of general relativity, gravitational waves, black holes, and cosmology. Prerequisites: PHYS 270 and PHYS 285. (Offered alternate years)
375 Thermal Physics This course reviews the laws of thermodynamics, their basis in statistical mechanics, and their application to systems of physical interest. Typical applications include magnetism, ideal gases, blackbody radiation, Bose-Einstein condensation, chemical and nuclear reactions, neutron stars, blackholes, and phase transitions. Prerequisites: PHYS 160 and MATH 131 Calculus II. (Offered alternate years)
380 Contemporary Inquiries in Physics This course examines current major lines of development in the understanding of physics. Typical examples include symmetries, superconductivity, superstrings and other attempts at unification, phase transitions, cosmology and the early universe, and non-linear systems and chaotic dynamics. Prerequisites: PHYS 270 and two 300-level physics courses or permission of the instructor. (Offered alternate years)
381 Topics in Laboratory Physics I This laboratory course offers a series of experiments for students in 200- or 300-level physics courses. Whenever possible, the experiments assigned are related to the field of physics being studied in the corresponding 200- or 300-level courses. PHYS 381 and PHYS 382 together may be substituted for PHYS 383. (0.5 credit; offered occasionally)
382 Topics in Laboratory Physics II This laboratory course offers a series of experiments for students in 200- or 300-level physics courses similar to PHYS 381 but at a higher level. PHYS 381 and PHYS 382 together may be substituted for PHYS 383. (0.5 credit; offered occasionally)
383 Advanced Physics Laboratory This laboratory course offers a series of experiments for students who have moved on to the 200- and/or 300-level physics courses. PHYS 383 is required of all physics majors. (Offered annually)
450 Independent Study