Math 503, Fall 2006
Assignment for November 16-20
1. Read pages 400-444 of the textbook (Kreyszig, 9th Edition)
2. Solve the following problems form the textbook
Pages 409-410: Problems 1, 3, 30, 32, 35, 42
Pages 413-414: Problems 2, 8, 13, 16
Page 416: Problems 2, 5, 16
Page 425: Problems 6, 11, 14
Page 438: Problems 3, 11
Page 444: Problems 4, 6, 12
3. Find the local minimum, maximum, and saddle points of the following functions.
f(x,y) = x³ - y³ -2xy+2
g(x,y)=(y-x²)(y-2x²)
4. Find the shortest distance from the origin to the surface defined by z = xy+5.