Fall 2003, Math 104

December, 2003

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

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

Due Monday 12/1 at 8am

Section 11.4 Absolute Convergence; Alternating Series

• Be sure to understand:

E-mail Subject Line: Math 104 Your Name 12/1

1. How closely does S100 approximate the series sum((-1)k (1/k), k=1 .. infinity) ? Why?
Reminder:
• 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 11.

Due Wednesday 12/3 at 8am

Section 11.5 Power Series

• Be sure to understand: Examples 4 and 5.

E-mail Subject Line: Math 104 Your Name 12/3

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.
Reminders:
• Bring questions on PS 12.

Due Friday 12/5 at 8am

Section 11.5 Power Series

• Be sure to understand: The whole thing!

Due Monday 12/8 at 8am

Section 11.6 Power Series as Functions
Section 11.7 Taylor Series

• To read: All of both sections
• Be sure to understand: The definition of a Taylor series

E-mail Subject Line: Math 104 Your Name 12/8

1. Give two good reasons for writing a known function ( such as cos(x) ) as a power series.
2. How does a Taylor series differ from a Taylor polynomial?
3. Why would you ever want to find the Taylor series of a function?

Reminder:

• 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.
• The in-class portion of the final will be Tuesday 12/16 from 9-12. The take-home portion will be due Friday 12/19 at noon.

Due Wednesday 12/10 at 8am

Section 11.7 Taylor Series

• Be sure to understand:

Reminder:

• Again, the in-class portion of the final will be Tuesday 12/16 from 9-12. The take-home portion will be due Friday 12/19 at noon.

Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 109
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
jsklensk@wheatonma.edu

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