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Course Criteria
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3.00 Credits
This is a graduate level, introductory course in general relativity and modern cosmology. The basics of general relativity will be covered with a view to understanding cosmology and carrying out calculations relevant to the expanding universe and perturbations in it. Some of the key topics in modern cosmology will be covered -- these include the cosmic microwave background, large-scale structure, gravitational lensing and dark energy. The current cosmological model and open questions driving research will be discussed briefly in connection with these topics.
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3.00 Credits
Prerequisite(s): Graduate standing in physics or permission of instructor. Introduction to physical cosmology emphasizing recent ideas on the very early evolution of the universe. The course will introduce standard big bang cosmology, new theories of the very early universe, and the key observations that have tested and will be testing these ideas. No prior knowledge of astrophysics, cosmology, general relativity, or particle physics will be assumed, although aspects of each will be introduced as part of the course. The course is intended for graduate students and advanced undergraduates.
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3.00 Credits
A general introduction to linear and nonlinear dynamical systems with an emphasis on astrophysical systems. Lagrangian and Hamiltonian formulations. Celestial mechanics. Equilibria and stability. Orbits. Resonances. Galactic dynamics. Intended for graduate students and advanced undergraduates.
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3.00 Credits
Nelson. Survey of electrodynamics, focusing on applications to research done in the Department. Topics include mathematical structure and relativistic invariance properties of Maxwell equations, tensor methods, and the generation and scattering of radiation, in vacuum and in materials. Applications vary from year to year but include optical manipulation, astrophysical phenomena, and the generalizations from Maxwell's theory to those of other fundamental interactions (strong, electroweak, and gravitational forces).
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3.00 Credits
Khoury. This introduction to cosmology will cover standard big bang cosmology, formation of large-scale structure, theories of the early universe and their observational predictions, and models of dark energy. It is intended for graduate students or advanced undergraduates. No prior knowledge of general relativity or field theory will be assumed, although aspects of each will be introduced as part of the course.
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3.00 Credits
Prerequisite(s): Undergraduate training in quantummechanics and statistical thermodynamics. An introduction to condensed matter physics designed primarily for advanced undergraduate and graduate students desiring a compact survey of the field. Band theory of solids, phonons, electrical magnetic and optical properties of matter, and superconductivity.
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3.00 Credits
Directed experiments in classical and modern physics designed to acquaint the student with modern laboratory instrumentation and techniques.
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3.00 Credits
Williams. Prerequisite(s): Permission of instructor required. An introduction to elementary particles (photons, leptons, hadrons, quarks), their interactions, and the unification of the fundamental forces.
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3.00 Credits
Repetitive credit. Special projects under the direction of a faculty member.
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3.00 Credits
This is a course on the theory of the interaction of light and matter designed primarily for graduate and advanced undergraduate students to build the basic tools required to do research in astrophysics. Topics to be discussed include structure of single- and multi-electron atoms, radiative and collisional processes, spectral line formation, opacity, radiation transfer, analytical and numerical methods, and a selection of applications in astrophysics based on student research interest.
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