Math 324 C&F Advanced Multivariable Calculus I Autumn 2004

Instructor: David Ragozin
Office: C337 Padelford Hall
Email:rag@math.washington.edu
Room: (Sec C) MEB 246 (Sec F) MOR 234
Website: http://faculty.washington.edu/rag/CLASSES/m324
Study session/Office Hours: T 9:30 - 1:30 in the Math Sciences Computing Laboratory, Communications (CMU) B022. Stop me after class to find a time if posted hours are not possible. Please do no hesitate to come to see me. It is much better to raise questions as soon as they occur, rather than get farther behind.

Text

Calculus: Early Transcendentals , (5^th edition) by James Stewart . Alternatively, Early Transcendentals Multivariable, containing just Chapters 10-17 of the full Stewart book will suffice for Math 324.

If you own the 4th edition of either of these, you may use that, but you will then need to access the problems from the 5th edition to do the homework. Click here to access these online.

General Description

This course continues the study of Multivariable Calculus begun in Math 126. Our primary focus will be on multivariable and vector-valued functions. My goal is to present a nice blend of analysis and geometry, culminating with a look at Stokes's Theorem(a multidimensional version of the Fundamental Theorem of Calculus). Along the way we'll need to define double and triple integrals, investigate the gradient, divergence, and curl operators, and look at vector fields and line integrals as well.

Homework

Homework will be assigned regularly and usually will be collected on Wednesdays. I will assign several problems from each of the sections we cover and will ask you to turn certain of these in. Although some of the assigned problems are suggestions only, I encourage you to try all of them(and more) and to read through the accompanying sections of the book. Finally, your homework should be neat, i.e., stapled if more than one page and done in pencil. If your work can't be read, it can't be graded. Please note that since I will be dropping your lowest homework score, no late homework will be accepted.

Lectures

We will be covering the material from the latter half of Chapter 14 and most of Chapters 15 and 16. I'll provide important examples and try to explain ``what it all means''. But it is impossible to understand this much material in just three hours a week. You shouldn't expect, therefore, to absorb everything I say in lecture as it happens. The lectures plus the text provide the major resources for your learning; you need to read through the text(hopefully before the lecture) and sort through the details to your own satisfaction. In Calculus note to students the paragraphs on "Five common misconceptions" and "How do I succeed" are still relevent. In particular, just as for the basic calculus sequence, you are advised to spend at least 3 hours OUTSIDE of class for each hour of lecture time, i.e. expect to spend 9 hours a week outside of class working on this course.

Exams

There will be two midterm exams and a final exam. The final will be comprehensive so you will be responsible for all material covered throughout the quarter. You will not need the use of a calculator on the exams<> but you may use one 8.5'' x 11'' sheet of handwritten notes. Please note that there are no makeup exams. Here are the important dates for the course:

Instruction Begins			Wednesday, Sept 29
Midterm 1			Wednesday, Oct 27
Midterm 2			Friday, Nov 12 or Mon, Nov 15
Instruction Ends			Friday, Dec 10
Final Exam			In your lecture room, per time schedule Week of Dec 13-17. (Sec C Mon 12/13 8:30-10:20, Sec F Tue 12/14 2:30-4:20)

Grading System

Homework: 20% Midterm 1: 20% Midterm 2: 25% Final: 35%