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18.155 Differential Analysis, Fall 2004

Graphical representation of the regularity of functions.

Graphical representation of the regularity of functions. (Image by Prof. Richard Melrose adapted from the lecture notes.)

Highlights of this Course

This course features a complete and detailed set of lecture notes as well as assignments.

Course Description

This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.
 

Staff

Instructor:
Prof. Richard Melrose

Course Meeting Times

Lectures:
Two sessions / week
1 hour / session

Level

Graduate

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