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This course provides a quantitative introduction to the physical principles that govern the universe. The laws of gravity, thermal physics, atomic physics, and radiation will be applied to develop understanding of a variety of astrophysical phenomena. These include: the formation of stars and planets, the life cycle of stars, and the nature of the interstellar medium. This course is intended for students majoring in astronomy and serves as a gateway to the more complex topics covered in upper-division astronomy classes. However, non-majors who are interested in a robust treatment of introductory astrophysics are welcome to participate in the course, and we will review the relevant physics and mathematics as we apply them to astrophysical problems
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Phenomena that repeat over regular intervals of time and space play a fundamental role in physics and its applications. This course explores oscillations and waves in contexts from a simple mass on a spring to mechanical waves in solids, liquids, and gasses as well as electromagnetic waves. It emphasizes broadly applicable phenomena including superposition, boundary effects, interference, diffraction, coherence, normal modes, and the decomposition of arbitrary wave amplitudes into normal modes, as with Fourier analysis. The laboratory experiments on oscillations, mechanical waves and optics provide hands-on experience of the concepts discussed in the rest of the course. Two hours of lecture and discussion and one three-hour laboratory per week.
The course is an elementary introduction to Einstein's theory of gravity and modern cosmology. After a brief review of the special theory of relativity, we will investigate vector and tensor fields in terms of their properties under changes of coordinates. We will study geometric ideas such as geodesics, parallel transport, and covariant differentiation, and present the Principle of Equivalence as the central physical principle behind Einstein's theory of gravity. After introducing the stress tensor, we will state the field equations and obtain the simplest solutions to them, and derive the physical implications of the theory for the motion of planets and light in the vicinity of massive stars. We will then discuss modern cosmology, including an introduction to the particle physics needed to describe the thermal history of the universe just after the Big Bang.
Representation theory is the study of the ways in which a given group may act on vector spaces. Intuitively, it investigates ways in which an abstract group may be interpreted concretely as a group of matrices with matrix multiplication as the group operation. Group representations are ubiquitous in modern mathematics. Indeed, representation theory has significant applications throughout algebra, topology, analysis, and applied mathematics. It also is of fundamental importance in physics, chemistry, and material science. For example, it appears in quantum mechanics, crystallography, or any physical problem in which one studies how symmetries of a system affect the solutions.
The first physics course in many of the Specialist and Major Programs in Physical Sciences. It provides an introduction to the concepts, approaches and tools the physicist uses to describe the physical world while laying the foundation for classical and modern mechanics. Topics include: mathematics of physics, energy, momentum, conservation laws, kinematics, dynamics, and gravity.
Develops the core practical experimental and computational skills necessary to do Physics. Students tackle simple physics questions involving mathematical models, computational simulations and solutions, experimental measurements, data and error analysis.
Designed for students interested in the physics of the Earth and the planets. Study of the Earth as a unified dynamic system; determination of major internal divisions in the planet; development and evolution of the Earth's large scale surface features through plate tectonics; the age and thermal history of the planet; Earth's gravitational field and the concept of isostasy; mantle rheology and convection; Earth tides; geodetic measurement techniques, in particular modern space-based techniques. 2ff7e9595c
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