**To read:**Reread the section.**Be sure to understand:**Example 5.- If int(f(x), x=1. .infty) diverges, what can you conclude about int( g(x), x=1. . infty)?
- If int(g(x), x=1. .infty) diverges, what can you conclude about int( f(x), x=1. . infty)?
- If int(f(x), x=1. .infty) converges, what can you conclude about int( g(x), x=1. . infty)?
- Rachel's help session is Monday night, 8pm-9pm in A118 -- if she knows to come! If you plan to meet with her, e-mail her at rzeigowe before 5pm. Remember to give her an idea of what you plan to ask her -- the numbers of the homework questions, or the topic that's causing difficulties.
- Bring questions on PS 7.
**To read:**The section*l'Hopital's rule: finding limits by differentiation*that begins on page S-19 and all of Section 11.1.**Be sure to understand:**The statement of l'Hopital's rule and the section*Terminology and basic examples*in Section 11.1.- Does l'Hopital's Rule apply to lim
_{(x -> infty)}x^{2}/ e^{x}? Why or why not? - Does l'Hopital's Rule apply to lim
_{(x -> infty)}x^{2}/ sin(x) ? Why or why not? - Does the following sequence converge or diverge? Be sure to explain your answer.

1, 3, 5, 7, 9, 11, 13, . . . - Find a symbolic expression for the general term a
_{k}of the sequence1, 2, 4, 8, 16, 32, . . . - Project 2 is due Wednesday at 2:30 pm.
- Begin PS 8. (Remember -- work on hw throughout the week!)
**To read:**Re-read these sections and make sure they make sense to you!**To read:**Through Example 4. This can be tough going.**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? - Rachel's help session is Monday night, 8pm-9pm in A118 -- if she knows to come! If you plan to meet with her, e-mail her at rzeigowe before 5pm. Remember to give her an idea of what you plan to ask her -- the numbers of the homework questions, or the topic that's causing difficulties.
- Bring questions on PS 8.
**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 9.
**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.
**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.
- Rachel's help session is Monday night, 8pm-9pm in A118 -- if she knows to come! If you plan to meet with her, e-mail her at rzeigowe before 5pm. Remember to give her an idea of what you plan to ask her -- the numbers of the homework questions, or the topic that's causing difficulties.
- Bring questions on PS 9.
**To read:**Finish the section. Go back and re-read the whole thing.**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.
- Begin PS 10.
- Exam 3 is next Tuesday.
**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.
- Rachel's help session has been moved to Sunday night, 7:30pm-8:30pm in A118 -- if she knows to come! If you plan to meet with her, e-mail her at rzeigowe before 4pm. Remember to give her an idea of what you plan to ask her -- the numbers of the homework questions, problems from the study guide, or the topic that's causing difficulties.
- PS 10 will not be collected, but it will be covered on the exam. Bring questions on the homework Friday, and we'll go over some of them, to make Monday less frazzled.
- PS 10 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.

Fall 2003, Math 104

**November, 2003**

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

(Last modified:
Wednesday, November 19, 2003,
9:34 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 Monday 11/3 at 8am__

**Section 10.2: Detecting Convergence, Estimating Limits**

**E-mail Subject Line:** Math 104 Your Name 11/3

**Reading Questions:**

Suppose that 0 < f(x) < g(x).

**Reminders:**

__ Due Wednesday 11/5 at 8am__

**Section 4.2 More on Limits: Limits Involving Infinity and l'Hopital's Rule**

**Section 11.1 Sequences and Their Limits**

**E-mail Subject Line:** Math 104 Your Name 11/5

**Reading Questions: **

**Reminders:**

__ Due Friday 11/7 at 8am__

**Section 4.2 More on Limits: Limits Involving Infinity and l'Hopital's Rule**

**Section 11.1 Sequences and Their Limits**

**No Reading Questions Today **

__ Due Monday 11/10 at 8am__

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

**E-mail Subject Line:** Math 104 Your Name 11/10

**Reading questions:**

**Reminders:**

__ Due Wednesday 11/12 at 8am__

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

**E-mail Subject Line:** Math 104 Your Name 11/12

**Reading Questions: **

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

**Reminders:**

__ Due Friday 11/14 at 8am__

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

**E-mail Subject Line:** Math 104 Your Name 11/14

**Reading questions:**

__ Due Monday 11/17 at 8am__

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

**E-mail Subject Line:** Math 104 Your Name 11/17

**Reading Questions: **

**Reminders: **

__ Due Wednesday 11/19 at 8am__

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

**E-mail Subject Line:** Math 104 Your Name 11/19

**Reading Questions:**

__ Due Friday 11/21 at 8am__

**Section 11.4 Absolute Convergence; Alternating Series**

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

**Reading Questions: **

**Reminder:**

__ Due Monday 11/24 at 8am__

**Bring Questions for Exam 3 **

**No Reading Questions Today! **

**Reminder:**

Next, go to the reading for December!

Department of Mathematics and Computer Science

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Norton, Massachusetts 02766-0930

TEL (508) 286-3973

FAX (508) 285-8278

jsklensk@wheatonma.edu

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