Mathematics 2443-003 - Calculus IV - Spring 2003
Information about Exam III
Exam III will be in the usual classroom on Thursday, April 10,
2003. Please take your usual seat.
Only a basic, non-graphing calculator may be used. Actually, there is no
need to use a calculator. Scratch paper will be provided, so all you will
need is something to write with.
The exam will be worth 57 points, and will cover sections 17.1-17.6.
The approximate point breakdown is as follows:
| 17.2 | 15
|
| 17.3 | 18
|
| 17.4 | 8
|
| 17.5 | 9
|
| 17.6 | 7
|
| Total | 57
|
The following topics will definitely be covered (of course, the exam is not limited to
these topics):
| 1.
| line integrals, calculation and geometric meaning
|
| 2.
| the Fundamental Theorem for Line Integrals
|
| 3.
| Green's Theorem, statement and use in calculation
|
| 4.
| div, grad, and curl
|
| 5.
| parameterization of surfaces,
calculating r_u and r_v, meaning of r_u \times r_v and
|| r_u \times r_v ||
|
There will be emphasis on the Fundamental Theorem for Line Integrals. You
need to know how to calculate div and curl of a vector field. You do not
need to memorize the definition of a simply-connected region in the plane,
but you should know its geometric meaning and be able to determine whether
a given region is simply-connected. You do not (yet) need to know the
formulas for parameterizing the sphere.
Exams that I wrote for this course in previous semesters can be found (both
with and without solutions) on their course pages (links are on the
course pages page).
Our exam may be a bit longer than those from courses which had 50-minute
classes.