AM 453Partial Differential Equations 2
- Offered
- Fall
- 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.
A thorough discussion of the class of 2nd order linear partial differential equations with constant coefficients, in two independent variables. Laplace's equation, the wave equation and the heat equation in higher dimensions. Theoretical/Qualitative aspects: well-posed problems, maximum principles for elliptic and parabolic equations, continuous dependence results, uniqueness results (including consideration of unbounded domains), domain of dependence for hyperbolic equations. Solution procedures: elliptic equations — Green's functions, conformal mapping; hyperbolic equations - generalized d'Alembert solution, spherical means, method of descent; transform methods — Fourier, multiple Fourier, Laplace, Hankel (for all three types of partial differential equations); Duhamel’s method for inhomogeneous hyperbolic and parabolic equations.
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 351 and 353, or consent of instructor
Check it elsewhere
- Undergraduate Calendar, 1995–96If it ran past 1994–95, on ucalendar
- Course outlinesSyllabi from past terms (UW login)
- UW FlowStudent ratings and reviews
- WClassesPast sections back to 2004, and who taught them
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
A thorough discussion of the class of 2nd order linear partial differential equations with constant coefficients, in two independent variables. Laplace's equation, the wave equation and the heat equation in higher dimensions. Theoretical/Qualitative aspects: well-posed problems, maximum principles for elliptic and parabolic equations, continuous dependence results, uniqueness results (including consideration of unbounded domains), domain of dependence for hyperbolic equations. Solution procedures: elliptic equations — Green's functions, conformal mapping; hyperbolic equations - generalized d'Alembert solution, spherical means, method of descent; transform methods — Fourier, multiple Fourier, Laplace, Hankel (for all three types of partial differential equations); Duhamel’s method for inhomogeneous hyperbolic and parabolic equations.
Prereq: AM 351 and 353, or consent of instructor
Offered Fall · 3 class hours a week · 0.5 credit