## Math 122 - Chapter 11 Project / Study Guide

### Take Home Portion

**Comparison Test - James Jones**
- Assigned Problems: 11.6: 28, 32, 40 (hint: see 11.6.51)
- Due: Mon, Nov 13
**Ratio Test - Adina Boyd, Mark Highcock**
- Assigned Problems: 11.6: 12, 14, 16
- Due: Tue, Nov 14
**Root Test - Curt Marley, Steven McGee**
- Assigned Problems: 11.6: 14, 18, 20
- Due: Tue, Nov 14
**Limit Comparison Test - Matt Moran, Scott Windhorst**
- Assigned Problems: 11.6: 6, 8, 10
- Due: Thu, Nov 16
**Alternating Series Test - Tamara Ripley, Steven Ventress**
- Assigned Problems: 11.7: 4, 6, 10
- Due: Thu, Nov 16
**Ratio Test for Absolute Convergence - Craig Fella, Mike O'Keefe**
- Assigned Problems: 11.7: 8, 10, 12
- Due: Thu, Nov 16

### In-Class Portion

- True or false. Ten parts. Look at supplemental problem 9
- Find the sum of the series by associating it with some Maclaurin series. Look at supplemental
problem 25
- The first n derivatives of a function are given. Find the nth degree Maclaurin and Taylor
series for the function.
- Find a Maclaurin series for the given binomial.
- Find the radius and intervals of convergence. Two parts.
- Use a Maclaurin series to approximate a value to three decimal-place accuracy. Check your
answer against your calculator.
- 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 series.
- Use a Maclaurin series to approximate an integral.
- Use the Remainder Estimation Theorem to find the smallest
*n* so that the approximation is
accurate to the given number of decimal places.
- Identify each series as convergent, conditionally convergent, or divergent. Justify your
answer. Four parts. Two points each for identifying the correct convergence and one point
for the justification.

### Notes:

- There is a take home portion of the exam worth 35 points. The take home portion includes a
classroom presentation and homework assigned / graded by other students.
- A table a common Maclaurin series will be provided on the exam.

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Total |

Pts |
10 |
5 |
6 |
5 |
8 |
5 |
5 |
5 |
4 |
12 |
65 |