Math 122  Chapter 10 Study Guide
 Determine whether or not the series converges, and if so, find its sum.
Three parts. Look at problems 10.4.314
 Find the Maclaurin series for the function by differentiation. Write the
series in sigma notation. Look at problems 10.8.110.
 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
10.8.2548.
 Use a Maclaurin series to approximate a value to three decimalplace accuracy.
Check your answer against your calculator and find the percent error in the
approximation. Look at problems 10.9.18.
 Obtain the first four nonzero 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 10.10.58
 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 10.10.1316.
 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 