Peqod :: Classes - Columbia University Catalog of Classes

Prerequisites:
PHYS W3008
or its equivalent.
Fundamentals of electromagnetism from an advanced perspective with emphasis on electromagnetic fields in vaccum with no bounding surfaces present. A thorough understanding of Maxwells equations and their application to a wide variety of phenomena. Maxwells equations (in vacuum) and the Lorentz force law - noncovariant form. Scalar and vector potentials, gauge transformations. Generalized functions (delta functions and their derivatives), point changes. Fourier transforms, longitutdinal ad transverse vector fields. Solution of Maxwells equations in unbounded space for electrostatics and magnetostatics with given charge and current sources. Special relativity, Loretnz transformations, 4-momentum, relativistic reactions. Index mechanics of Cartesian tensor notation. Covariatn formulation of Maxwells equations and the Lorentz force law, Lorentz transformation properties of E and B. Lagrangian density for the electromagnetic field, Langrangian density for the Proca field. Symmetries and conservation laws, Noethers theorem. Field conservation laws (energy, linear momentum, angular momentum, stress tensor). Monochromatic plane wave solutions of the time-dependent source-free Maxwell equations, elliptical polarization, partially-polarized electromagnetgic waves, Stokes parameters. Solution of the time-dependent Maxwell equations in unbounded space with given chare and current sources (retarded and advanced solutions). Properties of electromagnetic fields in the radiaion zone, angular distribution of radiated power, frequency distribution of radiated energy, radiation form periodic and non-periodic motions. Radiation from antennas and antenna arrays. Lienard-Wiechert fields, the relativistic form of the Larmor radiation forumla, synchrotron radiation, bremsstrahlung, undulator and wiggler radiation. Electric dipole and magnetic dipole radiation. Scattering of electromagnetic radiation, the differential scattering cross-section, low-energy and high-energy approximations, scattering from a random or periodic array of scatterers. Radiation reaction force, Feynman-Wheeler theoryy. The macroscopic Maxwell equations (spatial averaging to get P, M, D, H). Convolutions, linear materials (permittivity, permeability, and conductivity), causality, analytics continuation, Kramers-Kronig relations. Propagation of monochromatic plane waves in isotropic and non-isotropic linear materials, ordinary ad extraordinary waves. Cherenkov radiation, transition ra

Department: Physics
MW 11 a.m.-12:30 p.m.
Instructor: Lam Hui
CULPA: 3 Info
4.5 points

Details

PHYS GR6092

DESIGNS OF SOCIAL RESEARCH

Department: Sociology
W 9 a.m.-noon
4 points

Details

SOCI GR6097

PHYSICAL PHENOMENA

Department: Physics
Instructor: Malvin A Ruderman
Wikipedia Info
3 points

Details

PHYS GR6099

AF-AM: PRO SEMINAR

Department: African American and African Diaspora
W 2:10 p.m.-4 p.m.
Instructor: Farah Griffin
CULPA: 10 Wikipedia Info
4 points

Details

AFAS GR6100

MA SEMINAR IN GLOBAL THOUGHT

Department: Committee on Global Thought
T 12:10 p.m.-2 p.m.
Instructor: Carol Gluck
CULPA: 11 Wikipedia Info
3 points

Details

CGTH GR6100

INTRO TO COMP LIT & SOCIETY

Department: Comparative Literature and Society, Institute for
W 2:10 p.m.-4 p.m.
3 points

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CPLS GR6100

EUROPEAN STUDIES COLL I

Department: Modern European Studies
W 2:10 p.m.-4 p.m.
Instructor: Tsveta A Petrova
Info
4 points

Details

EHPS GR6100

ADVANCED MECHANICS OF FLUIDS

Department: Mechanical Engineering
W 1:10 p.m.-3:40 p.m.
3 points

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MECE E6100

EMPIRICAL RESEARCH SEMINAR

Prerequisites: Completion of year 1 of the graduate program in Sociology. Sociology PhD students from year 2 onward only.
Writing research articles for journals is a lot of intellectual fun … but it’s also a rather demanding craft. This seminar prepares you for the challenge. It will help you to find an interesting question, a way to answer it, and a mode of communicating this to fellow sociologists in a way that they might find worth paying attention to. (Even) more pragmatically, the goal of this year-long seminar is to help you writing a quantitative research paper that will ultimately be suitable for presentation at a conference and submission to a journal, building valuable research and professional skills and, in many cases, providing you with a jump-start for your dissertation research.
As crucial milestones in the process, you will:
• Develop a theoretical argument that motivates hypotheses
• Identify a data set that can be used to test those hypotheses
• Format and analyze the data to draw conclusions about your hypotheses
• Interpret your results
• Present your argument and findings in a precise and compelling narrative form
In short, the course is partly about theory, and how it can be used to specify hypotheses and measures; partly about methods, and how data can be analyzed appropriately to test hypotheses; and partly about the craft of sociological writing, and how good writing can be used to make a clear and compelling case for your research.
Students entering their second year of graduate school are expected to be familiar with the main theoretical traditions in Sociology, have developed areas of substantive interest, be acquainted with the basic methodology of the social sciences, have an applied knowledge of statistical techniques, and be familiar with datasets they could possibly work with. The “Empirical seminar” is not intended to offer training in any of these areas—and this particular instructor’s capacity to provide advise on statistical techniques is rather limited indeed. Please consult with other faculty for more technical advice necessary to bring your research to fruition or make use of the statistical consulting service offered elsewhere at Columbia.