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» MIT OpenCourseWare » Mathematics » Introduction to Partial Differential Equations, Fall 2004

Calendar

Calendar table
LEC #	TOPICS	KEY DATES
1	Introduction and Basic Facts about PDE's
2	First-order Linear PDE's PDE's from Physics
3	Initial and Boundary Values Problems
4	Types of PDE's Distributions
5	Distributions (cont.)	Problem set 1 due
6	The Wave Equation
7	The Heat/Diffusion Equation	Problem set 2 due
8	The Heat/Diffusion Equation (cont.) Review	Problem set 3 due
	First Midterm
9	Fourier Transform
10	Solution of the Heat and Wave Equations in Rⁿ via the Fourier Transform	Problem set 4 due
11	The Inversion Formula for the Fourier Transform, Tempered Distributions, Convolutions, Solutions of PDE's by Fourier Transform
12	Tempered Distributions, Convolutions, Solutions of PDE's by Fourier Transform (cont.)	Problem set 5 due
13	Heat and Wave Equations in Half Space and in Intervals
14	Inhomogeneous PDE's	Problem set 6 due
15	Inhomogeneous PDE's (cont.)
16	Spectral Methods - Separation of Variables	Problem set 7 due
17	Spectral Methods - Separation of Variables (cont.)	Problem set 8 due
	Second Midterm
18	(Generalized) Fourier Series	Problem set 9 due
19	(Generalized) Fourier Series (cont.)
20	Convergence of Fourier Series and L² Theory
21	Inhomogeneous Problems	Problem set 10 due
22	Laplace's Equation and Special Domains
23	Poisson Formula	Problem set 11 due
	Final Exam