**To read:**Through Example 4. This can be tough going, but really work at it.**Be sure to understand:**The sections*Why series matter: A look ahead*and*Definitions and terminology*.- There are two sequences associated with every series. What are they?
- Does the geometric series sum((1/4)
^{k},k=0..infinity) converge or diverge? Why? - Take advantage of tutoring hours
- Bring questions on PS 9.
**To read:**Finish the section and reread through Example 4.**Be sure to understand:**The nth term test.- sum(sin(k), k=0..infinity)
- sum(1/k , k=1..infinity)
- Begin PS 10.
**To read:**Re-read the whole section.**To read:**Through the section on the Comparison test.**Be sure to understand:**How to use the comparison test to determine convergence; how to use it to estimate the accuracy of an approximation.- Explain in a couple of sentences why the Comparison Test makes sense.
- Bring questions on PS 10
**To read:**Through the section on the Integral Test**Be sure to understand:**How to use the Integral test to determine convergence and divergence; how to use the Integral test to approximate to a desired accuracy.- Explain in a couple sentences why the Integral Test makes sense.
- Begin PS 11
**To read:**Finish the section.**Be sure to understand:**How to use the ratio test to determine convergence and divergence.- Explain in a couple of sentences why the Ratio Test makes sense.
- You should have the mathematics behind project 2 solved by Wednesday, so you can begin writing your response. I once again encourage you to bring me a draft.
**To read:**All**Be sure to understand:**The statements of the Alternating Series test- Give an example of a series that is conditionally convergent. Explain.
- Give an example of a series that is absolutely convergent. Explain.
- Begin PS 12
**To read:**Re-read the section.**Be sure to understand:**- How closely does S
_{100}approximate the series sum((-1)^{k}(1/k), k=1 .. infinity) ? Why? - Exam 3 is the Thursday after Thanksgiving break. While I know you are only just now finishing up Project 2, you may want to look at your post-break schedule and decide whether you want to get a good start on preparing yourself.
**To read:**All**Be sure to understand:**Examples 4 and 5.- 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? Explain in your own words. - PS 12 will not be collected, but it will be covered on the exam.
- As always, you may have handwritten notes on one side of a standard sheet of paper, and may begin the exam at 12:30.
- Get as many questions resolved before class on Wednesday as possible, through office hours and tutoring hours.
**To read:**

Re-read this section**Be sure to understand:**The whole thing!- Begin PS 13
**To read:**

Re-read this section**Be sure to understand:**The whole thing!**To read:**All of both sections**Be sure to understand:**The definition of a Taylor series- Give two good reasons for writing a known function ( such as cos(x) ) as a power series.
- How does a Taylor series differ from a Taylor polynomial?
- Why would you ever want to find the Taylor series of a function?
- Bring questions on PS 13 to class.
**To read:**Re-read the section**Be sure to understand:**

Fall 2005, Math 104

**November and December, 2005**

**Be sure to check back often, because assignments may change!**

(Last modified:
Monday, November 28, 2005,
10:00 AM )

I'll use Maple syntax for mathematical notation on this page.

All section and page numbers refer to sections from Ostebee/Zorn, Volume 2, Edition 2.

__ Due Wednesday 11/2 at 9am__

**Section 11.2 Infinite Series, Convergence, and Divergence**

**E-mail Subject Line:** Math 104 Your Name 11/2

**Reading questions:**

**Reminders:**

__ Due Friday 11/4 at 9am__

**Section 11.2: Infinite Series, Convergence, and Divergence**

**E-mail Subject Line:** Math 104 Your Name 11/4

**Reading Questions: **

What does the nth Term Test tell you about each series? Explain.

**Reminders:**

__ Due Monday 11/7 at 9am__

**Section 11.2: Infinite Series: Convergence and Divergence**

**No Reading Questions Today**

__ Due Wednesday 11/9 at 9am__

**Section 11.3: Testing for Convergence; Estimating Limits **

**E-mail Subject Line:** Math 104 Your Name 11/7

**Reading questions:**

**Reminders:**

__ Due Friday 11/11 at 9am__

**Section 11.3 Testing for Convergence; Estimating Limits**

**E-mail Subject Line:** Math 104 Your Name 11/11

**Reading Questions: **

**Reminders: **

__ Due Monday 11/14 at 9am__

**Work on Project 2**

__ Due Wednesday 11/16 at 9am__

**Section 11.3 Testing for Convergence; Estimating Limits**

**E-mail Subject Line:** Math 104 Your Name 11/16

**Reading Questions:**

__ Due Friday 11/18 at 9am__

**Section 11.4 Absolute Convergence; Alternating Series**

**E-mail Subject Line:** Math 104 Your Name 11/18

**Reading Questions: **

**Reminder:**

__ Due Monday 11/21 at 8am__

**Section 11.4 Absolute Convergence; Alternating Series **

**E-mail Subject Line:** Math 104 Your Name 11/21

**Reading Questions:**

__ Due Wednesday 11/23 at 9am__

**Thanksgiving Break! **

__ Due Friday 11/25 at 9am__

**Thanksgiving Break! **

__ Due Monday 11/28 at 8am__

**Section 11.5 Power Series **

**E-mail Subject Line:** Math 104 Your Name 11/28

**Reading Questions:**

__ Due Wednesday 11/30 at 9am__

**Bring Questions for Exam 3 **

**No Reading Questions Today! **

**Reminders:**

__ Due Friday 12/2 at 9am__

**Section 11.5 Power Series **

**No Reading Questions Today**

**Reminders:**

__ Due Monday 12/5 at 9am__

**Section 11.5 Power Series **

**No Reading Questions Today**

__ Due Wednesday 12/7 at 9am__

**Section 11.6 Power Series as Functions **

**Section 11.7 Taylor Series**

**E-mail Subject Line:** Math 104 Your Name 12/7

**Reading Questions: **

**Reminder:**

__ Due Friday 12/9 at 9am__

**Section 11.7 Taylor Series**

**No Reading Questions Today **

Department of Mathematics and Computer Science

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