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

1. True or false. Ten parts. Look at supplemental problem 9
2. Find the sum of the series by associating it with some Maclaurin series. Look at supplemental problem 25
3. The first n derivatives of a function are given. Find the nth degree Maclaurin and Taylor series for the function.
4. Find a Maclaurin series for the given binomial.
5. Find the radius and intervals of convergence. Two parts.
6. Use a Maclaurin series to approximate a value to three decimal-place accuracy. Check your answer against your calculator.
7. 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.
8. Use a Maclaurin series to approximate an integral.
9. Use the Remainder Estimation Theorem to find the smallest n so that the approximation is accurate to the given number of decimal places.
10. 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.