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Week #
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Homework problems
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Due date
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Material
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1,2
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No HW this week
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Classification of second-order linear PDEs; method of characteristics;
Lp spaces and inequalities;
weak derivatives and Sobolev spaces;
energy norms and motivation for energy estimates
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3,4
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Homework 1
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Tuesday, February 24, end of day.
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Laplace and Poisson equation, Separation of variables, Fourier series solution, Poisson Formula
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5,6
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Take-Home Exam
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March 10, 2026
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General Eigenvalue Problem, Vibrations of the drum, Sturm-Liousville problem, Bessel functions, Hydrogen Atom
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HW2
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March 10, 2026
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Distributions, Fourier integral and PDEs
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