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Courses - Fall 2024
MATH
Mathematics Department Site
Open Seats as of
07/19/2024 at 10:30 AM
MATH742
Geometric Analysis
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: MATH673 and MATH674; or MATH740.
Calculus of Variations, Bochner technique, Morse theory, weak solutions and elliptic regularity, maximum principle for elliptic and parabolic equations, Green's function of the Laplacian, isoperimetric and Sobolev inequalities, continuity method, curvature and comparison results, harmonic maps, curvature prescription problems.