Reading Assignments for Calculus 2
Spring, 2000 Math 104
March 2000
Be sure to check back often, because assignments may change!
Last modified: January 7, 2000
Due Wednesday 3/1 at 8am
Practice Antidifferentiating
 To read: reread Section 9.1
 Be sure to understand: All
No Reading Questions Today
Reminders:
 Bring questions on PS 5 (ind) to class on Wednesday.
 If you have questions, come to office hours or email Annie at amachaff and
arrange to meet her at 9pm in A102 on Thursday evening.
Due Friday 3/3 at 8am
Section 8.1: Introduction To Using the Definite Integral
Section 8.2: Finding Volume By Integration
 To read:
All
 Be sure to understand:
The section from 8.2 on Reassembling Riemann's Loaf and Example 1 from 8.2.
Email Subject Line: Math 104 Your Name 3/3
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?
Reminder:
 PS 5 (ind) is due Friday.
 If you have last lingering questions, and would like some additional help, our Calc assistant Annie is available Thursday nights. Email her by 5pm at amachaff, and let her know you'd like to meet with her in A102.
Due Monday 3/6 at 8am
Section 8.2: Finding Volumes By Integration
 To read: Reread the section for Monday
 Be sure to understand: All
Email Subject Line: Math 104 Your Name 3/6
Reading questions:
Consider the region R bounded by the graphs y=x and y=x^{2}.
(Notice R is in the first quadrant). Set up the integral that gives the volume
of the solid formed when R is rotated about
 the xaxis
 the yaxis
Reminders:
 Look at PS 6 on the course web page.
 The Antidifferentiation Exam is on Tuesday during lab. Practice, practice, practice! Go back and do lots of problems from Sections 6.2 and 9.1.
Due Wednesday 3/8 at 8am
Section 8.3: Arclength
 To read:
All
 Be sure to understand:
The statement of the Fact at the bottom of page 468, and Example 2.
Email Subject Line: Math 104 Your Name 3/8
Reading Questions:
 Use the Fact on page 468 to set up the integral that gives the length of the
curve y=x^{3} from x=1 to x=3.
Reminders:
 Bring questions on PS 6 (group) to class on Wednesday.
 If you have questions, come to office hours or email Annie at amachaff and
arrange to meet her at 9pm in A102 on Thursday evening.
Due Friday 3/10 at 8am
Section 10.1: When Is an Integral Improper?
 To read:
All
 Be sure to understand:
Examples 1, 2, and 4. The formal definitions of convergence and divergence
on pages 523 and 524.
Email Subject Line: Math 104 Your Name 3/10
Reading questions:
 What are the two ways in which an integral may be improper?
 Explain why int( 1/x^{2}, x=1..infty) 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?
Note: This is the reading for the material we'll be covering the Monday after spring break.
Reminder:
 PS 6 (group) is due Friday.
 If you have last lingering questions, and would like some additional help, our Calc assistant Annie is available Thursday nights. Email her by 5pm at amachaff, and let her know you'd like to meet with her in A102.
Due Monday 3/20 at 8am
Section 10.1: When Is an Integral Improper?
 To read: Reread the section for Monday
 Be sure to understand: All
No Reading Questions Today

Reminders:
 Look at PS 7 on the course web page.
 Don't forget to retake the antidifferentiation exam until you pass it. The deadline for receiving full credit is 4pm on March 28th.
Due Wednesday 3/22 at 8am
Project 2 (continued)
 To read: Make sure you have read Project 2 before lab on Tuesday.
 Be sure to understand:
What the client is asking you to do!
No Reading Questions Today!
Reminders:
 Bring questions on PS 7 (ind) to class on Wednesday.
 If you have questions, come to office hours or email Annie at amachaff and
arrange to meet her at 9pm in A102 on Thursday evening.
Due Friday 3/24 at 8am
Section 10.2: Detecting Convergence, Estimating Limits
 To read:
All
 Be sure to understand:
Example 2 and the statement of Theorem 1
Email Subject Line: Math 104 Your Name 3/24
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 2 for approximating
int( 1/(x^{5} +1), x=1..infty). What are the two types?
Reminder:
 PS 7 (ind) is due Friday.
 If you have last lingering questions, and would like some additional help, our Calc assistant Annie is available Thursday nights. Email her by 5pm at amachaff, and let her know you'd like to meet with her in A102.
 Try to have the calculations involved in solving your client's problem done by Friday afternoon. Plan on bringing a rough draft to me by Monday or Tuesday.
 Don't forget: The deadline for passing the antidifferentiation exam is Tuesday!
Due Monday 3/27 at 8am
Section 10.2: Detecting Convergence, Estimating Limits
 To read:
Reread the section.
 Be sure to understand:
The statement of Theorem 2.
Email Subject Line: Math 104 Your Name 3/27
Reading Questions:
Suppose that 0 < f(x) < g(x).
 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)?
Reminders:
 Look at PS 8 on the course web page.
 Don't forget the deadline for receiving full credit on the antidifferentiation exam is 4pm on Tuesday.
 Begin writing a rough draft of your response to your client. Remember to use the writing guide and the checklist to guide your composition.
 Exam 2 is next week, on Tuesday April 4th.
Due Wednesday 3/29 at 8am
Section 10.4: l'Hopital's Rule: Comparing Rates (continued)
 To read:
All, but you may skip the
section on Fine Print: Pointers Toward a Proof. We'll talk about a
different justification during class.
 Be sure to understand:
The statement of Theorem 3, l'Hopital's Rule.
Email Subject Line: Math 104 Your Name 3/29
Reading Questions:
 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?
Reminders:
 Bring questions on PS 8 (group) to class on Wednesday.
 If you have questions, come to office hours or email Annie at amachaffand
arrange to meet her at 9pm in A102 on Thursday evening.
Due Friday 3/31 at 8am
Section 11.1: Sequences and Their Limits
 To read:
Through page 557 and the statements of Theorem 2 and Theorem 3.
 Be sure to understand:
The section of Fine Points on page 553, the statements of Theorems 2 and 3.
Email Subject Line: Math 104 Your Name 3/31
Reading questions:
 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
sequence
1, 2, 4, 8, 16, 32, . . .
Reminder:
 PS 8 (group) is due Friday.
 If you have last lingering questions, and would like some additional help, our Calc assistant Annie is available Thursday nights. Email her by 5pm at amachaff, and let her know you'd like to meet with her in A102.
 Project 2 is also due Friday.
 You may have a "cheat sheet" for the Exam Tuesday.
Here ends the reading for March
Next, go to the reading for April!
Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 103
Norton, Massachusetts 027660930
TEL (508) 2863970
FAX (508) 2858278
jsklensk@wheatonma.edu
Back to: Precalculus  My Homepage  Math and CS