Math 503, Fall 2007
Assignment for November 08-12
1. Read pages 204-209 and 400-419 of the textbook (Kreyszig, 9th Edition)
2. Solve the following problems form the textbook
Pages 217: Problems 27, 29, 30
Page 403: Problems 3, 6, 10
Page 409-410: Problems 9, 22, 27, 29, 34, 42
Pages 413-414: Problems 5, 8, 13, 16
Page 416: Problems 5, 18, 20
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.