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» MIT OpenCourseWare » Mathematics » Differential Analysis, Fall 2002

Syllabus

This is the first semester of a two-semester Graduate-level sequence on Differential Analysis.

Topics

Fundamental solutions for elliptic.
Hyperbolic and parabolic differential operators.
Method of characteristics.
Review of Lebesgue integration.
Distributions.
Fourier transform.
Homogeneous distributions.
Asymptotic methods.

Prerequisites

18.103 Fourier Analysis -- Theory and Applications.