This document, located at http://new.math.uiuc.edu/math280,
was last edited 27feb98 gfrancis@uiuc.edu

Solved homework for week 1 .
On Surface Integrals for week 2 .
On Gauss' Divergence Theorem in week 3 .
On Divergence in Cylindrical and Spherical coordinates week4.
On the Metric Tensor in Sph.Coords and Line Integrals week6.
On the midterm given in week7.

### Spring 1998 Course Description:

# ADVANCED CALCULUS for Engineering and Science Applications,
Math 280 B1

Professor George Francis

9:00 am MWF

148 Henry Building

Contact: gfrancis@math.uiuc.edu, 344 Illini Hall, 333-4794

Office hours: by appointment, by e-mail, by phone.

Lab: UIMATH.grafiXlab, 102 Altgeld Hall, 3-5565.

Text: H.M.Schey, Div Grad Curl and All That, Norton, NY, 1997

We quote from the introduction to the little paper back we'll be using for
this course as the primary text.

"...the subject of vector calculus is presented in the context of simple
electrostatics. We follow this procedure for two reasons. First, much of
vector calculus was invented for use in electromagnetic theory and is
ideally suited to it. ... Second, we have a deep seated conviction that
mathematics -- in any case *some* mathematics -- is best discussed
in a context which is not exclusively mathematical."

To which I may add that a third reason is that every educated engineer and
scientist should some time or other learn the beauty of this century old
discipline and work with it in the manner its originators intended them to.
Of course, the student is urged to acquire, as desk reference and background
source, the standard text by Kaplan used for this course.
Finally, we will not restrict our imagination just to electrostatics, but
include fluid dynamics and many other mechanical examples of the 3-dimensional
calculus.

The final is at 8am, Friday, 15may98. The midterm is on Friday, 6mar98.
Semester project proposal is due Friday, 3apr98; the project is due
Friday, 1may98. Homework is required. Quizzes will be announced.
Additional information concerning homework, tests, field trips and special
events will appear on this webpage.