January 26:
Kreyszig, Page 209, problems 2 and 7
February 2:
Download homework
February 9:
Kreyszig page 561, problems 5, 13, 14, and 27
In the third line of problem 13, the equation
should read u(x,0) = f(x)
February 16:
Download homework
Spreadsheet for homework
February 23:
Download homework problems
March 2:
Download homework problems
March 9:
Kreyszig, page 546, problems 2 and 4,
Kreyszig, page 547, problem 12,
Kreyszig, page 552, problem 5,
Show that Laplace’s equation is elliptic,
the heat equation is parabolic,
the wave equation is hyperbolic,
and the Tricomi equation , yuxx + uyy = 0 is of mixed type.
March 16:
Kreyszig, page 586, problems 24, 25, 26, and 27;
March 23:
Download homework problems
March 30:
Hoffman, page 582, problem 7 (as originally stated and repeat
with dx = 2.5 cm, dy = 5 cm using SOR with a relaxation factor
from equation 9.51
Hoffman, page 584, problem 26
April 6:
Spring Break
April 13:
Hoffman, page 584, problem 30
Hoffman, page 585, problem 33
Hoffman, page 583, problem 21
Hoffman, page 585, problem 37
April 20:
Hoffman, page 771, problems 23 and 25
Redo example 12.5 on page 738 of Hoffman
using the boundary condition: a dT/dx + bT = c
with a = 1/cm, b = 1 and c = 1°C
April 27:
Download homework problem
May 4:
Download homework problems