We don't have strict entry requirements or prerequisites. However, our graduate program in Astrophysical & Planetary Sciences involves a rigorous set of coursework (11 courses and 4 seminars), many of which expect students to enter with a strong math and physics background.
We like to see the following undergrad upper-level Physics courses:
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Classical (Analytical) Mechanics
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Electromagnetism 1 & 2
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Quantum Mechanics 1 & 2
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Thermal Physics and/or Stat Mechanics
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Physics Labs (typically 2-3 years).
In addition, many students benefit from taking undergraduate physics electives (these are optional, not required):
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Condensed Matter (solid-state) physics
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Modern Physics (atomic, nuclear, particle)
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Relativity & Cosmology
For mathematics, we prefer that students have taken:
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Calculus 1,2,3 (through vector & multivariate calculus)
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Ordinary Differential Equations
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Matrix Theory and Linear Algebra
Strongly encouraged:
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Intro to Partial Differential Equations
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Transform methods (Fourier, Laplace)
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Complex Variables
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Mathematical Physics (wave, diffusion equations, etc.)