Mathematics 2443-005 - Calculus IV - Spring 2003
Information about Final Exam
The Final Exam will be in the usual classroom on Tuesday, May 6 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. Please turn it in along with your
exam (if you want your own copy, you can download it from our website at
any time).
Grades will be posted on our website as soon as they are ready, probably
on Thursday. 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 scratch paper, request it from me.
The Final Exam will be worth 79 points. It will cover the sections listed
here, with these approximate point allocations:
| 15.3 | 6
|
| 15.6 | 4
|
| 15.7 | 8
|
| 16.1 | 4
|
| 16.4 | 4
|
| 16.8 | 4
|
| 17.2 | 9
|
| 17.3 | 7
|
| 17.4 | 6
|
| 17.6 | 3
|
| 17.7 | 6
|
| 17.8 | 8
|
| 17.9 | 10
|
| Total | 79
|
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.
| Triple integrals in spherical coordinates.
|
| 4.
| Calculation of line integrals, directly and by other
methods.
|
| 5.
| Green's Theorem.
|
| 6.
| Parameterization of surfaces, the
vectors r_u, r_v, and r_u \times r_v.
|
| 7.
| Calculation of surface
integrals of functions and of vector fields.
|
| 8.
| 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. It is advisable
to understand all of the problems that appeared on our in-class exams, as
some of them will reappear on the final.
The following topics will not appear: limits, continuity,
equation of the tangent plane,
differentials, linear approximation, calculation of moments and center of
mass.
Final exams that I wrote for this course in previous semesters can
be found on their course pages (links are
on the course
pages page).