Multivariate Calculus - Bruce E. Shapiro

iv
CONTENTS
sometimes the answer will come to you.
And finally, even though the textbook is in its zillionth edition and I’ve been
writing and revising these lecture notes since you were in kindergarten neither is
perfect, and there are still plenty of typographical errors in each. Please let me
know of any errors you discover. In particular, just prior to the fall 2006 term
these notes were translated en-masse from one word processor (MS-Word) to another
(L A TEX 2ε). Much of this translation was automated, and even computers
sometimes makes mistakes ☺.
As your teacher I am here to help you. Feel free to contact me during my office
hours with any questions or problems you have at all - that is what the office hours
are for. And there is always email.
If you are a student in another Math 250 section at CSUN you are also welcome
to use these notes. But you should check with your instructor first. There is no
guarantee that he or she will approve of, agree with, or appreciate the material in
these notes. Furthermore, there is virtually no chance at all that your teacher will
cover the exact same material in the same order and with the same emphases placed
on the different subtopics that I have chosen. These notes are provided without any
guarantee whatsoever. Remember that you cannot use the excuse “but that’s the
way Shapiro did it in his lecture notes” in your class, especially if it turns out there
is a bug in the notes. So be forewarned. And enjoy!
Revised December 6, 2006. Math 250, Fall 2006