Mathematics 1823-001H - Honors Calculus I - Fall 2004
Information about Exam II
Exam II will be in the usual classroom on Tuesday, October 26,
2004.
Calculators are not needed and are not to be used. Blank paper will be
provided, so all you will need is something to write with.
The exam will be based on our classroom discussions and (more than Exam I)
on the homework assignments. It will be similar to Exam I in length. It is
(as far as I can tell) more difficult than Exam I, and it is not expected
that you will be able to do all of the problems.
The following topics will definitely be covered (of course, the exam is not limited to
these topics):
1.
| geometric meaning of the derivative
|
2.
| calculation of derivatives using algebraic formulas,
especially the Chain Rule.
|
3.
| implicit differentiation
|
4.
| related rates problems
|
I suggest that you practice doing calculations with symbols other than just
x and y, so that you will not have difficulty with different notations.
You are expected to know the derivatives of the six trigonometric
functions. There will be a problem involving calculation of derivatives
using values of functions given in a table, and there will be a related
rates problem which does not require a calculator.
There will be little if any coverage of higher derivatives, and there is no
coverage of the exponential function e^x, solving differential equations,
or planes in 3-dimensional space, inverse functions, or approximation of
functions using polynomials (although these are good things to think
about). If a problem requires a formula for the volume or surface area of a
3-dimensional object, the formula will be given.