These are the errors which have been discovered in Chapter 9 of the 2002 Edition of Multivariable Calculus: Concepts, Applications and Theory.

Page 584: in Definition 9.3.6(b) add "(v) the image of r equals C".

Page 584: In the next to last line of Example 9.3.4 (1) change "-3+3+x" to "-3+3-x".

Page 591: in the solution to Exercise 11(a), multiply each coordinate by 2.

Page 626: the answer to Exercise 11(a) is +18.

Page 626: the answer to Exercise 13(a) is 0.

Page 655: the curves discussed at the bottom of the page are in R^2.

Page 662: the answer to Exercise 10(d) is T(t) = 1/sqrt{9t^4+4t^2} (3t^2, 2t) and N(t) = 1/sqrt{9t^4+4t^2} (2t,-3t^2).

Page 684: the answer to Exercise 2(b) is 728pi/3.

Page 689 and all of Section 9.8: the boundary C of a surface S is oriented by M times N (not N times M) so that in the case when S lies in the xy-plane and N=k, C is oriented counterclockwise.

Page 699: the answer to Exercise 5(a) is +18.