Mathematics 2433-007 - Calculus III - Fall 2002
Information about Exam II
Exam II will be in the usual classroom on Thursday, October 24,
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 56 points, and will cover sections 12.2-12.10.
(Note: the syllabus says Exam II will only cover 12.3-12.10, but 12.2 will
also be covered.) The approximate point breakdown by section of the text
is as follows:
| 12.2 | 6
|
| 12.3 | 0
|
| 12.4 | 10
|
| 12.5 | 6
|
| 12.6 | 8
|
| 12.8 | 8
|
| 12.9 | 5
|
| 12.10 | 13
|
| Total | 56
|
The following topics will definitely be covered (of course, the exam is not limited to
these topics):
| 1.
| definition of convergence of a series, meaning of the
partial sums s_n
|
| 2.
| Comparison Test, Limit Comparison Test
|
| 3.
| Alternating Series Test
|
| 4.
| how to analyze the convergence behavior of a power series
using the Ratio Test and Root Test
|
| 5.
| Maclaurin series for the basic functions
|
| 6.
| the general formula for the Taylor series, how to use it to
compute the Taylor series of a specific function at a specific point
|
You will need to know the following from memory: Maclaurin series for e^x,
sin(x), cos(x), and ln(1+x), general formula for the Taylor series at x=a.