18.155 | Fall 2004 | Graduate Differential Analysis

SyllabusCalendarLecture NotesAssignments

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.

Course Info

INSTRUCTOR

DEPARTMENTS

TOPICS

LEARNING RESOURCE TYPES

notesLecture Notes

assignment_turned_inProblem Sets with Solutions

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