Reading Assignments for Calculus 2
Fall 2003 Math 104
October, 2003
Be sure to check back often, because assignments may change!
(Last modified:
Wednesday, October 29, 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 Wednesday 10/1 at 8am
Section 7.2 Finding Volumes by Integration
Guide to Writing Mathematics
 To read: All
 Be sure to understand:
The section Solids of revolution
Email Subject Line: Math 104 Your Name 10/1
Reading questions:
 Let R be the rectangle formed by the xaxis, the yaxis, and the lines y=1 and x=3.
What is the shape of the solid formed when R is rotated about the xaxis?
 Let T be the triangle formed by the lines y=x, x=1 and the xaxis.
What is the shape of the solid formed when T is rotated about the xaxis?
Reminders:
 Begin PS 4.
 Use the
Guide to Writing Mathematics and the checklist to help you write your project.
 Do the best you can on your draft  the better the draft, the more useful and specific my suggestions will be.
Due Friday 10/3 at 8am
Section 7.2 Finding Volumes by Integration
 To read:
Reread the section, but no Reading Questions for today.
Reminders:
 The rough draft of your project is due by 2:00 Friday.
Due Monday 10/6 at 8am
Section 8.1 Integration by Parts(continued)
 To read:
All
 Be sure to understand:
Theorem 1. Be warned that Examples 8 and 9 can be a little slippery.
Email Subject Line: Math 104 Your Name 10/6
Reading questions:
 Integration by parts attempts to undo one of the techniques of differentiation. Which one is it?
 Pick values for u and dv in the integral int( x * sin(x), x). Use parts to find an antiderivative for x * sin(x).
Reminder:
 Rachel's help session is Monday night, 8pm9pm in A118  if she knows to come! If you plan to meet with her, email 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 4.
Due Wednesday 10/8 at 8am
Section 8.1 Integration by Parts
 To read: reread Section 8.1
Email Subject Line: Math 104 Your Name 10/8
Reading questions:
Each integral can be evaluated using usubstitution or integration by parts. Which technique would you use in each case? You do not need
to evaluate the integral, but explain your choice.
 int( x*cos(x), x)
 int(x*cos(x^{2}),x)
Reminders:
 Begin PS 5.
 Bring your project rewrites to me for comments.
Due Friday 10/10 at 8am
Antidifferentiation Exam
No Reading Questions Today
Reminders:
 Final draft of project is due at 2:30 Friday.
Due Monday 10/13 at 8am
Fall Break!
Due Wednesday 10/15 at 8am
Work on Project 2
No Reading Questions Today
Reminders:

Get back into the swing, continue working on PS 5.
Due Friday 10/17 at 8am
Continue work on Project 2
No Reading Questions Today
Reminders:

You've had more than a week without reading questions, don't get out of the habit  they begin again Monday!
Due Monday 10/20 at 8am
Section 9.1 Taylor Polynomials
 To read:
All, but you can skip the section Trigonometric polynomials: Another nice family.
 Be sure to understand:
The statement of Theorem 1, Example 7, adn the definition of the Taylor polynomial.
Email Subject Line: Math 104 Your Name 10/20
Reading questions:
Explain the basic idea of the Taylor polynomial for a function f(x)
at x=x_{0} in your own words.
Reminder:
 Rachel's help session is Monday night, 8pm9pm in A118  if she knows to come! If you plan to meet with her, email 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 5.
Due Wednesday 10/22 at 8am
Section 9.2 Taylor's Theorem: Accuracy Guarantees for Taylor Polynomials
 To read:
All, but you can skip the section Proving Taylor's theorem.
 Be sure to understand:
The statement of Theorem 2 and Examples 2 and 3.
Email Subject Line: Math 104 Your Name 10/22
Reading Questions:
What is the point of Theorem 2? Explain in your own words.
Reminders:
 Begin PS 6.
 Exam 2 is Tuesday 10/28
 Finish designing your work of art  proposals are due before class Friday.
Due Friday 10/24 at 8am
Section 9.2 Taylor's Theorem: Accuracy Guarantees for Taylor Polynomials
 To read:
Reread this section.
Email Subject Line: Math 104 Your Name 10/24
Reading Questions:
Let f(x)=sqrt(x).
 Find P_{3}(x) for f at the base point x_{0}=64.
 What can you say about the error committed by using
P_{3}(x) as an approx for sqrt(x) on the interval [50,80]?
Reminders:
 Friday is the deadline for receiving full credit on the antidifferentiation exam. You really need antidifferentiation to come easily to you for the exam Tuesday!
 By 8am Friday, email a description of the artwork you're creating for your project (what it is, how big it will be, what it will be made of), and attach to it the Maple file containing the list of functions and the picture of how it looks before it's revolved. If all goes well and I'm on the ball, I'll display them, 'cause it's fun to see what everybody else is doing.
Monday 10/27 at 8am
Questions for Exam 2
No Reading Questions today
Reminder:
 Rachel's help session is Monday night, 8pm9pm in A118  if she knows to come! If you plan to meet with her, email her at rzeigowe before 5pm. 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 6 will not be turned in, but will be covered on this exam.
 As before, you may have an 8 1/2 x 11 handwritten frontonly sheet of notes, and you may begin the exam at 12:30.
Due Wednesday 10/29 at 8am
Section 10.1: Improper Integrals: Ideas and Definitions
 To read:
All
 Be sure to understand:
The section Convergence and divergence: Formal definitions
and Examples 1  5.
Email Subject Line: Math 104 Your Name 10/29
Reading questions:
 What are the two ways in which an integral may be improper?
 Explain why int( 1/x^{2}, x=1..infinity) is improper. Does the integral converge or diverge?
 Explain why int( 1/x^{2}, x=0..1) is improper. Does the integral converge or diverge?
Reminders:
 Begin PS 7
 Keep on working on your project  make sure you know how to find the volume!
Due Friday 10/31 at 8am
Section 10.2: Detecting Convergence, Estimating Limits
 To read:
All
 Be sure to understand:
The statements of Theorems 1 and 2 and Example 4.
Email Subject Line: Math 104 Your Name 10/31
Reading questions:
 If 0 < f(x) < g(x) and int( g(x), x=1. . infty) converges, will int(f(x), x=1. .infty) converge or diverge? Why?
 There are two types of errors that arise in Example 4 for approximating int( 1/(x^{5} +1), x=1..infty). What are the two types?
Here ends the reading for October
Next, go to the reading for November!
Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 109
Norton, Massachusetts 027660930
TEL (508) 2863973
FAX (508) 2858278
jsklensk@wheatonma.edu
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