Due Wednesday 3/1 at 8am

Practice Antidifferentiating

• To read: re-read 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 e-mail 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.

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

Reading questions:

1. Let R be the rectangle formed by the x-axis, the y-axis, and the lines y=1 and x=3. What is the shape of the solid formed when R is rotated about the x-axis?
2. Let T be the triangle formed by the lines y=x, x=1 and the x-axis. What is the shape of the solid formed when T is rotated about the x-axis?

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. E-mail 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: Re-read the section for Monday
• Be sure to understand: All

E-mail Subject Line: Math 104 Your Name 3/6

Reading questions:

Consider the region R bounded by the graphs y=x and y=x². (Notice R is in the first quadrant). Set up the integral that gives the volume of the solid formed when R is rotated about
1. the x-axis
2. the y-axis

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.

E-mail Subject Line: Math 104 Your Name 3/8

Reading Questions:

1. Use the Fact on page 468 to set up the integral that gives the length of the curve y=x³ 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 e-mail 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.

E-mail Subject Line: Math 104 Your Name 3/10

Reading questions:

1. What are the two ways in which an integral may be improper?
2. Explain why int( 1/x², x=1..infty) is improper. Does the integral converge or diverge?
3. Explain why int( 1/x², 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. E-mail 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: Re-read 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 re-take 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 e-mail 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

E-mail Subject Line: Math 104 Your Name 3/24

Reading questions:

1. 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?
2. There are two types of errors that arise in Example 2 for approximating int( 1/(x⁵ +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. 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 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.

E-mail Subject Line: Math 104 Your Name 3/27

Reading Questions:

Suppose that 0 < f(x) < g(x).
1. If int(f(x), x=1. .infty) diverges, what can you conclude about int( g(x), x=1. . infty)?
2. 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.

E-mail Subject Line: Math 104 Your Name 3/29

Reading Questions:

1. Does l'Hopital's Rule apply to lim_{(x -> infty)} x² / e^x ? Why or why not?
2. Does l'Hopital's Rule apply to lim_{(x -> infty)} x² / 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 e-mail 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.

E-mail Subject Line: Math 104 Your Name 3/31

Reading questions:

1. Does the following sequence converge or diverge? Be sure to explain your answer.
   1, 3, 5, 7, 9, 11, 13, . . .
2. 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. E-mail 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.