Mathematics 2423-001H - Honors Calculus II - Spring 2007
Information about Final Exam
The Final Exam will be in the usual classroom on Tuesday, May 8, 2007, from
May 8, 8:00 to 10:15 a. m. It will have 79 points
possible, broken down by section of the book approximately as follows:
| 5.2 | 4
|
| 5.3 | 6
|
| 7.2 | 2
|
| 7.4 | 4
|
| 7.5 | 6
|
| 7.6 | 7
|
| 7.7 | 6
|
| 8.1 | 6
|
| 8.2 | 2
|
| 8.4 | 8
|
| 8.7 | 6
|
| 8.8 | 7
|
| 9.1 | 7
|
| 9.2 | 8
|
| Total | 79
|
Calculators or other mechanical assistance are not needed and are not to be
used. Blank paper will be provided, so all you will need is something to
write with. As on any exam, it is
wise to start with the problems that you feel confident that you know how
to do, before moving on to others.
One must know the derivative and integral formulas involving the six trig
functions, including formulas 1-18 in the table on page 542. One must know
the identities involving squares of trig functions, including the
expressions for sin2(x) and cos2(x) in terms of
cos(2x).
It is not necessary to know the identities used to integrate the
expressions sin(mx)sin(nx), sin(mx)cos(nx), or cos(mx)cos(nx). It is not
necessary to memorize identities involving the hyperbolic trig functions,
other than the fundamental one cosh2(x) - sinh2(x) =
1. Of course, one should be familiar with their graphs, and the more basic
derivative and integral formulas for them.
There is a problem involving Simpson's Rule. The formula for Simpson's Rule
in terms of h and y0, ... , yn will be given, as well as
the formula for the bound for the error in terms of h and the fourth
derivative of the function.
In evaluating improper integrals, be sure to use the definition
as a limit. Evaluations that use direct arithmetic calculation with
infinity are unsound, and will not receive full credit.
One must know the formula for the differential of arclength ds, and be able
to use it to calculate length. Also, one must be able to write integrals to
find surface area of various kinds of surfaces of revolution.
Exams from previous Honors Calculus classes can be found on their course
pages (links to them appear on the course
pages page).
Of course, these were different courses, so the exams may be quite
a bit different.