For November 3

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 11/3 Your Name

Reading Questions:

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

For November 5

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 11/5 Your Name

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

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

For November 7

Section 11.3 Testing for Convergence: Estimating Limits

• To read: All
• Be sure to understand: The statements of the Comparison, Integral, and Ratio Test

Email Subject Line: Math 104 11/7 Your Name

Reading Question:

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

For November 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 11/10 Your Name

Reading Questions:

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

For November 12

Section 11.4 Absolute Convergence: Alternating Series (cont)

• To read: Re-read the section for today

Email Subject Line: Math 104 11/12 Your Name

Reading Question:

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

For November 14

No reading assignment for today.

For November 17

Section 11.5 Power Series

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

Email Subject Line: Math 104 11/17 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 November19

Section 11.6 Power Series as Functions

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

Email Subject Line: Math 104 11/19 Your Name

Reading Question:

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

For November 21

For November24

Section 11.6 Power Series as Functions

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

Email Subject Line: Math 104 11/19 Your Name

Reading Question:

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

Note: This is the same assignment that was originally due last Wednesday. If you've already sent that in, then don't worry about this one.

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