Reading Assignments -
Math 104 - Calculus II
November 1997
Be sure to check back often, because the assignments may change.
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:
- There are two sequences associated with every series. What are they?
- 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
- sin(k)?
- 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:
- Give an example of a series that is conditionally convergent.
- 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 S_{100} 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:
- How do power series differ from the series we have looked at up to this point?
- 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
Exam 3 today. No Reading Assignment.
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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