Mathematics 2443-005 - Calculus IV - Fall 2002
Information about Exam III
Exam III will be in the usual classroom on Tuesday, November 19,
2002. Rather than taking your usual seat, you will need to sit so that
there is no one on either side of you.
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 53 points, and will cover sections 17.3-17.6, plus a
little on surface integrals of functions (but not surface integrals of vector
fields). Also, there will be some questions about scalar projection and
vector projection of vectors (these are discussed in section 13.3 of the
text). We have used vector and scalar projection numerous times in our
class discussions.
| 13.3 | 6
|
| 17.3 | 8
|
| 17.4 | 7
|
| 17.5 | 15
|
| 17.6 | 14
|
| 17.7 | 3
|
| Total | 53
|
The following topics will definitely be covered (of course, the exam is not limited to
these topics):
| 1.
| scalar projection and vector projection of vectors
|
| 2.
| geometric meaning of del P / del x , etc., for
a planar vector field P i + Q j.
|
| 3.
| Green's Theorem and the Fundamental Theorem for Line Integrals
|
| 4.
| parameterization of surfaces, the vectors r_u and
r_v, the meaning of their cross product and the meaning of its length
|
You do not need to memorize the formulas for parameterizing the sphere or
other surfaces, but it will be useful to be as familiar as possible with
the examples of parameterizations given in class. You do not need to
memorize the Tangential and Normal forms of Green's Theorem.
Exams that I wrote for this course in previous semesters, both with and
without solutions, can be found on
their course pages. Links to those pages are on the
course pages page.
Our exam may be a bit longer than those from courses which had 50-minute
classes.