Math 122 - Chapter 10 Study Guide
- Determine whether or not the series converges, and if so, find its sum.
Three parts. Look at problems 10.4.3-14
- Find the Maclaurin series for the function by differentiation. Write the
series in sigma notation. Look at problems 10.8.1-10.
- Find a Maclaurin series for the given binomial. Look at 10.9.17
- Find the radius and intervals of convergence. Two parts. Look at problems
10.8.25-48.
- Use a Maclaurin series to approximate a value to three decimal-place accuracy.
Check your answer against your calculator and find the percent error in the
approximation. Look at problems 10.9.1-8.
- Obtain the first four non-zero terms of a Maclaurin series by making an
appropriate substitution into a known series. State the radius of convergence
of the infinite series. Look at problem 10.10.5-8
- Differentiate and integrate a power series, leaving the answer in power
series notation.
- Use known Maclaurin series to find the series for a product or quotient.
Look at problems 10.10.13-16.
- Identify each series as convergent, conditionally convergent, or divergent.
Justify your answer. Four parts. Look at the problems from sections 10.5
through 10.7.
Notes:
- There is a take
home [PDF]
exam worth 45 points. The take home portion includes two problems worth
15 points and a classroom presentation and homework assigned / graded by
other students worth 30 points.
- A table a common Maclaurin series will be provided on the exam.
Points per problem
| # |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Take
Home |
Total |
| Pts |
9 |
4 |
4 |
8 |
4 |
4 |
6 |
4 |
12 |
45
|
100 |