Spring 2000, Math 104

April

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

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

Due Monday 4/3 at 8am

Q & A for Exam 2

• To read: Review Sections 9.1, 8.2-8.3, 10.1-10.2. Work on the study guide I gave you. Redo old problem sets.
• Be sure to understand: Everything better than you did the first time you saw it.

Reminders:

• Look at PS 9 on the course web page.
• You may begin taking the exam at 12:30pm. Don't forget to bring your calculator and your "cheat sheet" (one 8 1/2 x 11 sheet of paper, front only, handwritten by you).

Due Wednesday 4/5 at 8am

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

E-mail Subject Line: Math 104 Your Name 4/5

1. There are two sequences associated with every series. What are they?
2. Does the geometric series
sum( ' (1/4)k ', k=0 .. infinity)
converge or diverge? Why?

Reminders:

• Bring questions on PS 9 (ind) to class on Wednesday.
• If you have questions, come to office hours or e-mail Annie and arrange to meet her at ??? in A102 on Thursday evening.

Due Friday 4/7 at 8am

Section 11.2: Infinite Series, Convergence, and Divergence

• To read: Finish this section, although you can de-emphasize the part on Telescoping Sums
• Be sure to understand: The nth Term Test

E-mail Subject Line: Math 104 Your Name 4/7

What does the nth Term Test tell you about each series? Explain.
1. sum('sin(k)', k=0..infinity)
2. sum('1/k ', k=0..infinity)

Reminder:

• PS 9 (ind) is due Friday.
• If you have last lingering questions, and would like some additional help, our Calc assistant Annie is available Thursday nights. E-mail her by 5pm at amachaff, and let her know you'd like to meet with her in A102.

Due Monday 4/10 at 8am

11.3: Testing for Convergence: Estimating Limits

• To read: Through page 577
• Be sure to understand: The statement of the Comparison Test

E-mail Subject Line: Math 104 Your Name 4/10

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

Reminders:

• PS 9 is due today.
• Look at PS 10 on the course web page.
• Exam 2 rewrites are due Tuesday at the beginning of lab.

Due Wednesday 4/12 at 8am

Section 11.3: Testing for Convergence: Estimating Limits

• To read: Finish this section
• Be sure to understand: The statements of the Integral and Ratio Tests

E-mail Subject Line: Math 104 Your Name 4/12

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

Reminders:

• Bring questions on PS 10 (group) to class on Wednesday.

Due Friday 4/14 at 8am

Section 11.3: Testing for Convergence: Estimating Limits

• Be sure to understand: The statements of the Integral and Ratio Tests

E-mail Subject Line: Math 104 Your Name 4/14

Reminder:

• PS 10 (group) is due Friday.
• If you have last lingering questions, and would like some additional help, our Calc assistant Annie is available Thursday nights. E-mail her by 5pm at amachaff, and let her know you'd like to meet with her in A102.
• Exam 3 is a week from Monday on April 24th.

Due Monday 4/17 at 8am

Section 11.4 Absolute Convergence: Alternating Series

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

E-mail Subject Line: Math 104 Your Name 4/17

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

Reminders:

• Look at PS 11 on the course web page.

Due Wednesday 4/19 at 8am

Section 11.4: Absolute Convergence: Alternating Series (cont)

• Be sure to understand:

E-mail Subject Line: Math 104 Your Name 4/19

1. How close does S100 approximate the series
sum( ' (-1)k (1/k)', k=0 .. infinity) ?
Why?

Reminders:

• Bring questions on PS 11 (ind) to class on Wednesday.
• If you have questions, come to office hours or e-mail Annie and arrange to meet her at ??? in A102 on Thursday evening.

Due Friday 4/21 at 8am

Q & A for Exam 3

• To read: Review Sections 10.4, 11.1-11.4. Do the study guide. Redo problems from past problem sets.
• Be sure to understand: Everything, better than you did the first time around.

Reminder:

• PS 11 (ind) is due Friday.
• If you have last lingering questions, and would like some additional help, our Calc assistant Annie is available Thursday nights. E-mail her by 5pm at amachaff, and let her know you'd like to meet with her in A102.
• Exam 3 is Monday, April 24th in class.

Due Monday 4/24 at 8am

Exam 3 on Monday

• Be sure to understand: Everything

Reminders:

• Look at PS 12 on the course web page.
• Bring your "cheat sheet" (the same as usual) and your calculator to the exam.

Due Wednesday 4/26 at 8am

Project 3

• Be sure to understand: What your client is asking you to do!

Reminders:

• Bring questions on PS 12 (group) to class on Wednesday.
• If you have questions, come to office hours or e-mail Annie and arrange to meet her at ??? in A102 on Thursday evening.

Due Friday 4/28 at 8am

Section 11.5: Power Series

• Be sure to understand: Examples 4 and 6

E-mail Subject Line: Math 104 Your Name 4/28

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? Explain in your own words.

Reminder:

• PS 12 (group) is due Friday.
• If you have last lingering questions, and would like some additional help, our Calc assistant Annie is available Thursday nights. E-mail her by 5pm at amachaff, and let her know you'd like to meet with her in A102.
• Try to have the calculations for Project 3 done by the end of Friday.

Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 103
Norton, Massachusetts 02766-0930
TEL (508) 286-3970
FAX (508) 285-8278
jsklensk@wheatonma.edu

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