For April 1

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 4/1 Your Name

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

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

For April 3

Reread Section 11.2, but there is no email reading assignment for today.

For April 6

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 4/6 Your Name

Reading Question:

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

For April 8

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 4/8 Your Name

Reading Question:

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

For April 10

Section 11.4 Absolute Convergence: Alternating Series

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

Email Subject Line: Math 104 4/10 Your Name

Reading Questions:

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 13

Section 11.4 Absolute Convergence: Alternating Series (cont)

• To read: Re-read the section for today

Email Subject Line: Math 104 4/13 Your Name

Reading Question:

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

For April 15

Section 11.5 Power Series

• To read: All
• Be sure to understand: Examples 4 and 6

Email Subject Line: Math 104 4/15 Your Name

Reading Questions:

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 17

Reread Section 11.5, but there is no email reading assignment for today.

For April 20

Section 11.6 Power Series as Functions

• To read: All
• Be sure to understand: Example 3

Email Subject Line: Math 104 4/20 Your Name

Reading Question:

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

For April 22

For April 24

For April 27

Section 11.6 Power Series as Functions (cont)

• To read: All
• Be sure to understand: Example 3

Email Subject Line: Math 104 4/27 Your Name

Reading Questions:

1. Find a power series expansion for sin(x²).
2. Use your power series expansion to find an antiderivative for sin(x²).

For April 29

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