### Math 104 - Calculus II - Reading Assignments April 1999

Be sure to check back, because this may change during the semester.

All numbers indicate sections from Ostebee/Zorn, Vol 2.

### For April 2

Section 11.2 Infinite Series, Convergence, and Divergence

• To read : Through Example 4. This can be tough going.
• Be sure to understand : The section Series Language: Terms, Partial Sums, Tails, Convergence, Limit on page 563

Email Subject Line : Math 104 4/2 Your Name

1. There are two sequences associated with every series. What are they?
2. Does the geometric series (1/4)k converge or diverge?

### For April 5

Q & A for Exam 2. No Reading Assignment for today.

### For April 7

Section 11.2 Infinite Series, Convergence, and Divergence (cont)

• To read : Finish this section, although you can de-emphasize the part on Telescoping Sums
• Be sure to understand : The nth Term Test

Email Subject Line : Math 104 4/7 Your Name

Reading Questions : What does the nth Term Test tell you about the series

1. sin(k)?
2. 1/k ?

### For April 9

Section 11.3 Testing for Convergence: Estimating Limits

• To read : Through page 577
• Be sure to understand : The statement of the Comparison Test

Email Subject Line : Math 104 4/9 Your Name

Explain in a couple of sentences why you think the Comparison Test should hold.

### For April 12

Section 11.3 Testing for Convergence: Estimating Limits (cont)

• To read : Finish this section
• Be sure to understand : The statements of the Integral and Ratio Tests

Email Subject Line : Math 104 4/12 Your Name

Explain in a couple of sentences why you think the Integral Test should hold.

### For April 14

Section 11.4 Absolute Convergence: Alternating Series

• Be sure to understand : The statement of the Alternating Series Test

Email Subject Line : Math 104 4/14 Your Name

1. Give an example of a series that is conditionally convergent. Explain.
2. Give an example of a series that is absolutely convergent. Explain.

### For April 16

Section 11.4 Absolute Convergence: Alternating Series (cont)

Email Subject Line : Math 104 4/16 Your Name

How close does S100 approximate the series (-1)k (1/k) ?

### For April 19

Section 11.5 Power Series

• Be sure to understand : Examples 4 and 6

Email Subject Line : Math 104 4/19 Your Name

1. How do power series differ from the series we have looked at up to this point?
2. What is the interval of convergence of a power series?

### For April 21

Section 11.6 Power Series as Functions

• Be sure to understand : Example 3

Email Subject Line : Math 104 4/21 Your Name

Give two good reasons for writing a known function ( such as cos(x) ) as a power series.

### For April 26

Q & A for Exam 3. No Reading Assignment for today.

### For April 28

Work on Project 3. No Reading Assignment for today.

### For April 30

Work on Project 3. No Reading Assignment for today.

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