uwloo

AM 353Partial Differential Equations 1

Offered
Fall, Winter, Spring
Credit
0.5
Last listed
1994–95

No longer offered. It’s in Waterloo’s scanned calendars from 1989–90 to 1994–95; the 1995–96 to 2023–24 calendars are on ucalendar.

First order partial differential equations and characteristic curves. Second order linear partial differential equations, primarily in two variables: physical origins; classification into hyperbolic, parabolic and elliptic equations; the Cauchy initial value problem and characteristic curves. Derivation and analysis of solutions of the wave equation, heat equation and Laplace's equation, separation of variables and eigenfunction expansions; Fourier integrals; d'Alembert's solution and the propagation of waves; maximum principle for harmonic functions. Introduction to systems of partial differential equations, hyperbolic systems, reduction to canonical form. Formerly AM 371

As printed in the 1989–90 to 1994–95 calendars, read by OCR; the scanned page is the original. Later calendars (1995–96 on) aren’t on uwloo.

Requirements, as last listed

Prereq: AM 231 and AM 251, or AM 251 and MATH 2308, or consent of instructor

Coreq: AM 351

Check it elsewhere

In the scanned calendars

How it read in each calendar from 1989–90 to 1994–95, newest first. The text is OCR of the scanned pages; years whose wording matches are shown once, from the clearest scan. Each year links to its page on uwloo and to that page of the scanned PDF.

1989–90 to 1994–95 6 calendars

First order partial differential equations and characteristic curves. Second order linear partial differential equations, primarily in two variables: physical origins; classification into hyperbolic, parabolic and elliptic equations; the Cauchy initial value problem and characteristic curves. Derivation and analysis of solutions of the wave equation, heat equation and Laplace's equation, separation of variables and eigenfunction expansions; Fourier integrals; d'Alembert's solution and the propagation of waves; maximum principle for harmonic functions. Introduction to systems of partial differential equations, hyperbolic systems, reduction to canonical form.

Formerly AM 371

Prereq: AM 231 and AM 251, or AM 251 and MATH 2308, or consent of instructor

Coreq: AM 351

Offered Fall, Winter, Spring · 3 class hours a week · 0.5 credit