Due Friday 11/19 at 9am

Section 5.1 Areas and Integrals

• To read: All
• Be sure to understand: The definition of the integral on page 342; Example 2; the section Properties of the Integral beginning on page 345

Section 5.2 The Area Function

• To read: All
• Be sure to understand: The definition of the area function on page 357; Examples 1 and 2

E-mail Subject Line: Math 101 Your Name 11/19

Reading questions:

1. What does the integral of a function f from x=a to x=b measure?
2. Is the integral of f(x)=5x from x= -1 to x=3 positive or negative? Why?
3. Let f be any function. What does the area function A_f(x) measure?
4. Let f(t)=t and let a=0. What is A_f(1)?

Reminder:

• PS 10 is due by Friday at 4pm.
• You should be well on the way to producing a draft of a letter for Liz Parker. Have a friend read it without telling them the assignment--it ought to stand on its own.
• Midterm 3 is the Thursday after Thanksgiving break. Start studying now. Make sure you've done every assigned problem!

Due Monday 11/22 at 9am

Section 5.3: The Fundamental Theorem of Calculus

• To read: All, although you may skim the proof of the FTC beginning on page 373-we'll prove it a different way in class.
• Be sure to understand: The statement of both the first and second forms of the FTC; Example 3

E-mail Subject Line: Math 101 Your Name 11/22

Reading questions:

1. Find the area between the x-axis and the graph of f(x)=x³+4 from x=0 to x=3.
2. Does every continuous function have an antiderivative? Why or why not?
3. What is the difference between a definite integral and an indefinite integral?

Reminder:

• Project 2 is due Monday at 4pm.
• In your spare time (hah hah), continue studying for the midterm, so you don't have to over break.

Due Monday 11/29 at 9am

No reading! Enjoy Thanksgiving break!

Reminder:

• If you're caught up and have already started studying for the exam, take the break off! If youv'e gotten behind, use Thanksgiving break as a marvelous opportunity to catch up!

Due Wednesday 12/1 at 9am

Section 5.3 The Fundamental Theorem of Calculus

• To read: re-read this section
• Be sure to understand: Make sure you really understand both statements of the FTC.

E-mail Subject Line: Math 101 Your Name 12/1

Reading questions:

1. If f(x)=3x-5 and a=2, where is A_f increasing? decreasing? Why?
2. How would your answer change if a=0?

Reminder:

• PS 11 will not be turned in, due to the exam, but you should still, of course, do it and bring questions to class Wednesday.
• Keep on studying. I'll probably have a review session Wednesday night at 9pm again, but keep an ear out for announcements in class.

Due Friday 12/3 at 9am

No reading, due to the exam!

Reminder:

• While I'm not collecting PS 11, you should have it done by Friday.
• The final is self-scheduled. Start thinking about when you'd like to take it, and planning when and how you're going to study for it.

Due Monday 12/6 at 9am

Section 5.4 Approximating Sums: The Integral as a Limit

• To read: Through page 381
• Be sure to understand: The figures on page 381

E-mail Subject Line: Math 101 Your Name 12/6

Reading questions:

Let f(x)=x² and let I represent the integral of f from x=0 to x=3.
1. Estimate I by finding L₃, the left sum with 3 equal subintervals.
2. Estimate I by finding R₃, the right sum with 3 equal subintervals.

DueWednesday 12/8 at 9am

Section 5.4 Approximating Sums: The Integral as a Limit

Just re-read through page 381

Reminder:

• Bring questions on PS 12 to class Wednesday.
• The final will be self-scheduled.
• Be reviewing for the final, of course. Redo as many problems from the entire semester as possible.

Due Friday 12/10 at 9am

Section 5.4 Approximating Sums: The Integral as a Limit

• To read: All
• Be sure to understand: The definition of a Riemann sum and the definition of the integral as a limit on page 383.

E-mail Subject Line: Math 101 Your Name 12/10

Reading questions:

Let f(x)=x² and let I represent the integral of f from x=0 to x=3.
1. Will L_n underestimate or overestimate I? Why?
2. Will R_n underestimate or overestimate I? Why?

Reminder:

• PS 12 is due Friday at 4pm.
• Take notes on the main points of every section, and look for connections between ideas.

Due Monday 12/13 at 9am

The BIG picture! No reading!

Reminder:

• Be thinking about when you're going to take your final.
• Study a lot! In addition to what I've already suggested, redo all the exam problems and look over old study guides.