Mathematics 2443-005 - Calculus IV - Fall 2002
Information about Final Exam
The Final Exam will be in the usual classroom on Wednesday, December 18 at
1:30 p. m. You may work until 3:45 p. m if you need
the extra time.
When the final exams are handed out, you will also receive a copy of some formulas, exactly as
they appear on the formulas page.
Grades will be posted on our website as soon as they are ready, probably
some time Friday. You may pick up your final exam any time during the next
year; after one year they will be discarded.
Only a basic, non-graphing calculator may be used (preferably, as a
paperweight). If you need more scratch paper, request it from me.
The Final Exam will be worth 77 points. It will cover the sections listed
here, with these approximate point allocations:
| 15.6 | 4
|
| 15.7 | 12
|
| 16.3 | 4
|
| 16.4 | 3
|
| 16.7 | 3
|
| 16.8 | 3
|
| 17.2 | 9
|
| 17.3 | 5
|
| 17.4 | 4
|
| 17.6 | 5
|
| 17.7 | 11
|
| 17.8 | 9
|
| 17.9 | 5
|
| Total | 77
|
The following topics will definitely be covered:
| 1.
| The gradient.
|
| 2.
| Critical points of f(x,y), investigation of f(x,y)
on the boundary of a domain.
|
| 3.
| Calculation of line integrals, directly and using the Fundamental Theorem
for Line Integrals.
|
| 4.
| Green's Theorem
|
| 5.
| Parameterization of surfaces, the
vectors r_u, r_v, and r_u \times r_v.
|
| 6.
| Calculation and geometric interpretation of surface
integrals of functions and of vector fields.
|
| 7.
| Stokes' Theorem and the Divergence Theorem, their statements,
verifying them on examples, their application to calculations.
|
It will be important to know the major theorems and be able to apply
them. Although the table does not list section 17.5, it is necessary to
know how to calculate the gradient, divergence, and curl. Also, you will be
called upon to demonstrate some drawing skills that you should have
acquired by now.
The following topics will not appear: limits,
differentials, linear approximation, calculation of moments and center of
mass, tangential and normal versions of Green's Theorem.