MATH 224: Advanced Methods of Applied Mathematics
Basic real analysis (metric spaces, continuity, contraction mapping theorem), Banach spaces, Hilbert spaces, linear operators, bounded operators, compact operators, spectral theory, distributions, Fourier transforms, a priori estimates, energy estimates, existence/uniqueness theory, variational calculus, and applications of the above material to concrete problems in applied mathematics.
Prerequisite: MATH 221 and MATH 222 . Normal Letter Grade only. Discussion included.
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