Faculty Of Arts And Sciences Course Catalog Preview

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Faculty of Arts and SciencesCourse Catalog PreviewTable of ContentsPhysics.2Subject: Physics.2Subject: Physical Sciences.48HARVARD UNIVERSITYPage 1 of 498/6/2020 10:41 AM

PhysicsSubject: PhysicsPhysics 15AIntroductory Mechanics and Relativity (111164)David MorinAmir YacobyKeith Zengel2020 Fall (4 Credits)Instructor Permissions:NoneSchedule:TR 1200 PM - 0115 PMEnrollment Cap:n/aNewtonian mechanics and special relativity. Topics include vectors; kinematics in three dimensions;Newton's laws; force, work, power; conservative forces, potential energy; momentum, collisions; rotationalmotion, angular momentum, torque; static equilibrium, simple harmonic motion, damped and drivenoscillations; gravitation; fictitious forces; fluids; special relativity.Course Notes:Principles of Scientific Inquiry (PSI) is the laboratory component ofPhysics 15a. Topics include experimental design, model testing, erroranalysis, basic programming, oral presentations, and scientific writing.PSI will meet weekly throughout the semester.Class Notes:Students who are unable to attend the T/Th 12:00-1:15 lecture time dueto incompatible time zones will be able to watch the lecture videos atother scheduled times (to be determined). These viewings will takeplace in groups where students will periodically work together on shortproblems, as they would do in the main lecture.Recommended Prep:Mathematics preparation at least at the level of Mathematics 1bconcurrently is required. However, some elementary ideas frommultivariable calculus may be used and students are encouraged totake Mathematics 21a concurrently.Additional Course Attributes:AttributeQuantitative Reasoning with DataFAS: Course LevelFAS Divisional DistributionAll: Cross Reg AvailabilityValue(s)YesPrimarily for Undergraduate StudentsScience & Engineering & Applied ScienceAvailable for Harvard Cross RegistrationPhysics 15BIntroductory Electromagnetism and Statistical Physics (111896)Girma HailuRobert WesterveltKeith Zengel2020 Fall (4 Credits)HARVARD UNIVERSITYSchedule:Page 2 of 49TBD8/6/2020 10:41 AM

Instructor Permissions:NoneEnrollment Cap:n/aElectricity and magnetism. Topics include electrostatics, electric currents, magnetic field, electromagneticinduction, Maxwell's equations, electromagnetic radiation, magnetic fields in materials, and some basicnotions in kinetic theory, entropy, temperature, and phase transition associated with electricity andmagnetism.Course Notes:Principles of Scientific Inquiry (PSI) is the laboratory component ofPhysics 15b. Students use creative problem-solving in applyingtheoretical topics to explore physical phenomena and design real lifeapplications. Topics include experimental design, model testing, erroranalysis, basic programming, introductory circuit analysis, andpractical applications of electromagnetism. PSI will meet weeklythroughout the semester.Class Notes:The instructors of the course will survey the students enrolled in thecourse to find out the best times for lectures and labs.Recommended Prep:Physics 15a, Physics 16, or written permission of the Head Tutor inPhysics. Mathematics preparation at least at the level of Mathematics21a taken concurrently is required. Vector calculus, (div, grad and curl)are used extensively--in principle, this is taught in the course. Studentstaking Mathematics 21a concurrently will likely find that someconcepts are introduced in Physics 15b before they have seen them inMathematics 21a. Some students may wish to postpone Physics 15buntil they have completed Mathematics 21a.Additional Course Attributes:AttributeFAS: Course LevelQuantitative Reasoning with DataAll: Cross Reg AvailabilityFAS Divisional DistributionValue(s)Primarily for Undergraduate StudentsYesAvailable for Harvard Cross RegistrationScience & Engineering & Applied SciencePhysics 15CWave Phenomena (124154)Matteo MitranoMarkus Greiner2020 Fall (4 Credits)Instructor Permissions:NoneSchedule:MW 1030 AM - 1145 AMEnrollment Cap:n/aForced oscillation and resonance; coupled oscillators and normal modes; Fourier series; Electromagneticwaves, radiation, longitudinal oscillations, sound; traveling waves; signals, wave packets and groupvelocity; two- and three-dimensional waves; polarization; geometrical and physical optics; interference anddiffraction. Optional topics: Water waves, holography, x-ray crystallography, solitons, music, quantummechanics, and waves in the early universe.Course Notes:Principles of Scientific Inquiry (PSI) is the laboratory component ofPhysics 15c. Topics include experimental design, model testing, erroranalysis, basic programming, oral presentations, and scientific writing.PSI will meet weekly throughout the semester.Class Notes:Links to the lectures will be provided on Canvas and all lectures will beHARVARD UNIVERSITYPage 3 of 498/6/2020 10:41 AM

recorded. Students who are unable to attend the lecture time due toincompatible time zones will be able to watch the lecture videos atother scheduled times (to be determined). These viewings will takeplace in groups where students will periodically work together on shortproblems, as they would do in the main lecture. Sections (1.5 hours)meet once each week, and attendance is required and part of yourgrade. The course has an interactive lab component, taught by Prof.Greiner with weekly lab sessions.Recommended Prep:Physics 15a and 15b or Physical Science 12a-b or equivalent.Mathematics at least at the level of Math 21b. Mathematical topicsintroduced during lectures will include matrix calculus, complexnumbers, differential equations, and Fourier analysis.Additional Course Attributes:AttributeFAS: Course LevelAll: Cross Reg AvailabilityQuantitative Reasoning with DataFAS Divisional DistributionValue(s)Primarily for Undergraduate StudentsAvailable for Harvard Cross RegistrationYesScience & Engineering & Applied SciencePhysics 16Mechanics and Special Relativity (111197)Howard GeorgiKeith Zengel2020 Fall (4 Credits)Instructor Permissions:NoneSchedule:TR 0430 PM - 0545 PMEnrollment Cap:n/aNewtonian mechanics and special relativity for students with good preparation in physics and mathematicsat the level of the advanced placement curriculum. Topics include oscillators damped and driven andresonance (how to rock your car out of a snow bank or use a swing), an introduction to Lagrangianmechanics and optimization, symmetries and Noether's theorem, special relativity, collisions andscattering, rotational motion, angular momentum, torque, the inertia tensor (dynamic balance), gravitation,planetary motion and a little glimpse of quantum mechanics.Course Notes:Principles of Scientific Inquiry (PSI) is the laboratory component ofPhysics 16. Topics include experimental design, model testing, erroranalysis, basic programming, oral presentations, and scientific writing.PSI will meet weekly throughout the semester. Emphasis is placed oncollaborative teaching and learning. Many class materials areMathematics notebooks.Class Notes:Prof Georgi will go over the same material at both class times listed.Both sessions will be recorded and students are free to attend both butstudents MUST attend the time for which they sign up because thesessions will have pre-assigned breakout rooms and interactive polls.In-class interactions will contribute to student grades. It is likely thatthe morning class will be smaller than the afternoon class. See theSCHEDULE link in Canvas for more details.Recommended Prep:Score of 5 on the mechanics section of the Physics C AdvancedPlacement exam, or equivalent. Mathematics preparation at least at theHARVARD UNIVERSITYPage 4 of 498/6/2020 10:41 AM

level of Mathematics 21a taken concurrently is required. Thoroughknowledge of calculus of one variable and vectors plus somemathematical sophistication. The mathematical level will besignificantly higher than that of Physics 15a. If in doubt, check theCanvas site ahead of time, or email the professor at hgeorgi@fas.harvard.edu, or just shop.Additional Course Attributes:AttributeQuantitative Reasoning with DataFAS Divisional DistributionFAS: Course LevelAll: Cross Reg AvailabilityValue(s)YesScience & Engineering & Applied SciencePrimarily for Undergraduate StudentsAvailable for Harvard Cross RegistrationPhysics 16 Section: 002Mechanics and Special Relativity (111197)Howard GeorgiKeith Zengel2020 Fall (4 Credits)Instructor Permissions:NoneSchedule:TR 0730 AM - 0845 AMEnrollment Cap:n/aNewtonian mechanics and special relativity for students with good preparation in physics and mathematicsat the level of the advanced placement curriculum. Topics include oscillators damped and driven andresonance (how to rock your car out of a snow bank or use a swing), an introduction to Lagrangianmechanics and optimization, symmetries and Noether's theorem, special relativity, collisions andscattering, rotational motion, angular momentum, torque, the inertia tensor (dynamic balance), gravitation,planetary motion and a little glimpse of quantum mechanics.Course Notes:Principles of Scientific Inquiry (PSI) is the laboratory component ofPhysics 16. Topics include experimental design, model testing, erroranalysis, basic programming, oral presentations, and scientific writing.PSI will meet weekly throughout the semester. Emphasis is placed oncollaborative teaching and learning. Many class materials areMathematics notebooks.Class Notes:Prof Georgi will go over the same material at both class times listed.Both sessions will be recorded and students are free to attend both butstudents MUST attend the time for which they sign up because thesessions will have pre-assigned breakout rooms and interactive polls.In-class interactions will contribute to student grades. It is likely thatthe morning class will be smaller than the afternoon class. See theSCHEDULE link in Canvas for more details.Recommended Prep:Score of 5 on the mechanics section of the Physics C AdvancedPlacement exam, or equivalent. Mathematics preparation at least at thelevel of Mathematics 21a taken concurrently is required. Thoroughknowledge of calculus of one variable and vectors plus somemathematical sophistication. The mathematical level will besignificantly higher than that of Physics 15a. If in doubt, check theCanvas site ahead of time, or email the professor at hgeorgi@fas.harvard.edu, or just shop.HARVARD UNIVERSITYPage 5 of 498/6/2020 10:41 AM

Additional Course Attributes:AttributeFAS: Course LevelQuantitative Reasoning with DataFAS Divisional DistributionAll: Cross Reg AvailabilityValue(s)Primarily for Undergraduate StudentsYesScience & Engineering & Applied ScienceAvailable for Harvard Cross RegistrationPhysics 90RSupervised Research (111672)David Morin2020 Fall (4 Credits)Instructor Permissions:InstructorSchedule:TBDEnrollment Cap:n/aPrimarily for selected concentrators in Physics, or in Chemistry and Physics, who have obtained honorgrades in Physics 15 and a number of intermediate-level courses. The student must be accepted by somemember of the faculty doing research in the student's field of interest. The form of the research depends onthe student's interest and experience, the nature of the particular field of physics, and facilities and supportavailable. Students wishing to write a senior thesis can do so by arranging for a sponsor and enrolling inthis course.Course Notes:A list of possible faculty sponsors and their fields is available inLyman 238 and on the Physics Department Web page. Courseenrollment forms may be obtained from Lyman 238.Additional Course Attributes:AttributeFAS: Course LevelFAS Divisional DistributionAll: Cross Reg AvailabilityValue(s)Primarily for Undergraduate StudentsScience & Engineering & Applied ScienceAvailable for Harvard Cross RegistrationPhysics 91RSupervised Reading Course for Undergraduates (110569)David Morin2020 Fall (4 Credits)Instructor Permissions:InstructorSchedule:TBDEnrollment Cap:n/aOpen to selected concentrators in Physics, Chemistry and Physics, and other fields who wish to dosupervised reading and studying of special topics in physics. Ordinarily such topics do not include thosecovered in a regular course of the Department. Honor grades in Physics 15 and a number of intermediatelevel courses are ordinarily required. The student must be accepted by a member of the faculty.Course Notes:A list of possible faculty sponsors and their fields is available inLyman 238 and on the Physics Department's website. Courseenrollment forms may be obtained from Lyman 238.Additional Course Attributes:AttributeAll: Cross Reg AvailabilityFAS: Course LevelHARVARD UNIVERSITYValue(s)Available for Harvard Cross RegistrationPrimarily for Undergraduate StudentsPage 6 of 498/6/2020 10:41 AM

FAS Divisional DistributionScience & Engineering & Applied SciencePhysics 95Topics in Current Research (111967)Isaac Silvera2020 Fall (4 Credits)Schedule:W 0430 PM - 0545 PMM 0300 PM - 0415 PMInstructor Permissions:NoneEnrollment Cap:n/aPrior to taking this tutorial course, most juniors and seniors have learned physics by topics: ClassicalMechanics, E&M, Quantum Mechanics, Particle Theory, Statistical Mechanics, etc. This tutorial is builtaround the Wednesday Night Seminar (WNS): every Wednesday two Harvard Faculty members giveaccessible presentations on their research to entering or interested graduate students (Gs), joined by theP95 students. Modern research uses all of the topics learned in physics courses, thus UGs are introducedto current research, including old and new developments and burning problems; they will learn from theHarvard experts as well as each other. The WNS is preceded by assigned reading and studentpresentations to the class on the basic underlying physics. Students develop critical skills in oralpresentations, writing about research topics, and engaging in self and peer evaluation.Course Notes:Primarily for junior and senior concentrators, however interestedsophomores are welcome.Class Notes:All students and Gs are welcome to the WNS. During Covid, facultypresentations will be recorded and videos are watched prior to theWNS. Students prepare at least one Monday introductory presentationon Zoom and these are recorded. At the WNS the faculty describestheir career trajectory and attending students ask questions on theircareer, physics research, and research opportunities. Toaccommodate students who may be in different time zones the WNSwill be held on Wednesday at 4:30 pm; Mondays will be at 3 pm.Additional Course Attributes:AttributeFAS Divisional DistributionAll: Cross Reg AvailabilityFAS: Course LevelValue(s)Science & Engineering & Applied ScienceAvailable for Harvard Cross RegistrationPrimarily for Undergraduate StudentsPhysics 123BLaboratory Electronics (124108)David Abrams2020 Fall (4 Credits)Instructor Permissions:InstructorSchedule:TR 0130 PM - 0530 PMEnrollment Cap:10A lab-intensive introduction to digital electronic circuit design. Develops circuit intuition and debuggingskills through hands-on lab exercises, each preceded by class discussion, with minimal use ofmathematics and physics. After a short introduction to the basics of electronic circuits and MOSFETswitches, we move onto digital devices including logic families, Boolean arithmetic, combinatorial andHARVARD UNIVERSITYPage 7 of 498/6/2020 10:41 AM

sequential circuits including finite state machines. We continue with analog-digital interfacing, the use ofmicrocontrollers at the assembly and machine code level and programmable logic devices (FPGAs). Wewill also discuss data conversion techniques.Course Notes:Physics 123b is the same course as Physics 223b; students may nottake both for credit. If you are a graduate student, please enroll in223b. Limited to 10 students. If you would like to take the courseincluding the analog material, you should wait until it is offered asPhysics 123 or ES153.Class Notes:The course will consist of a combination of pre-recorded and livelectures. We will meet virtually twice a week for the live lectures or areview of the pre-recorded material, followed by the course lab.Students will work in breakout rooms in groups of two on the labexercises. The instructor and course TFs will be available during thelab session to help students debug and understand their circuits.Additional Course Attributes:AttributeAll: Cross Reg AvailabilityFAS Divisional DistributionFAS: Course LevelValue(s)Available for Harvard Cross RegistrationScience & Engineering & Applied ScienceFor Undergraduate and Graduate StudentsPhysics 141The Physics of Sensory Systems in Biology (121885)Aravinthan Samuel2020 Fall (4 Credits)Instructor Permissions:NoneSchedule:TR 0900 AM - 1015 AMEnrollment Cap:n/aLiving organisms use sensory systems to inform themselves of the sights, sounds, and smells of theirsurrounding environments. Sensory systems are physical measuring devices, and are therefore subject tocertain limits imposed by physics. Here we will consider the physics of sensory measurement andperception, and study ways that biological systems have solved their underlying physical problems. We willdiscuss specific cases in vision, olfaction, and hearing from a physicist's point of view.Class Notes:The scheduled class meetings (Tu, Th 9-10:15 EST) will be discussionsof the material presented in the pre-recorded lectures and readingassignments. If any students are unable to attend at 9 AM (e.g.,because of time zone), Prof. Samuel will hold a second class meetinglater on Tuesdays and Thursdays (which will be regularly scheduledbased on a student poll at the start of class). Attendance at either the 9AM or later meeting is mandatory. Students are free to join both. Allzoom meetings will be recorded and made available on the website.Class participation is expected either live during these class meetingsor through online discussions on Slack. For more information aboutthe course and the schedule, please see the Canvas site.Recommended Prep:Math 21a,b, Physics 15, or by permission of the instructor.Requirements:Anti-Requisite: Cannot be taken for credit if NEURO 141 alreadycomplete.HARVARD UNIVERSITYPage 8 of 498/6/2020 10:41 AM

Additional Course Attributes:AttributeFAS: Course LevelFAS Divisional DistributionAll: Cross Reg AvailabilityValue(s)For Undergraduate and Graduate StudentsScience & Engineering & Applied ScienceAvailable for Harvard Cross RegistrationPhysics 143AQuantum Mechanics I (108465)John Doyle2020 Fall (4 Credits)Instructor Permissions:NoneSchedule:TBDEnrollment Cap:n/aIntroduction to nonrelativistic quantum mechanics: uncertainty relations; Schrödinger equation; Diracnotation; matrix mechanics; one-dimensional problems including particle in box, tunneling, and harmonicoscillator; angular momentum, hydrogen atom, spin, Pauli principle; and if time allows: time-independentperturbation theory; and scattering.Class Notes:Class times will be determined to maximize the overlap with studentsin different time zones.Recommended Prep:Linear algebra including matrix diagonalization; Physics 15c or writtenpermission of the Head Tutor.Additional Course Attributes:AttributeAll: Cross Reg AvailabilityFAS: Course LevelFAS Divisional DistributionValue(s)Available for Harvard Cross RegistrationFor Undergraduate and Graduate StudentsScience & Engineering & Applied SciencePhysics 143BQuantum Mechanics II (111731)Lisa Randall2020 Fall (4 Credits)Instructor Permissions:NoneSchedule:WF 0130 PM - 0245 PMEnrollment Cap:n/aIntroduction to path integrals, identical particles, many-electron theory, WKB approximation, time

HARVARD UNIVERSITY Page 1 of 49 8/6/2020 10:41 AM Faculty of Arts and Sciences Course Catalog Preview Table of Contents

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