I'll use Maple syntax for mathematical notation on this page.
All section and page numbers refer to sections from Ostebee/Zorn, Vol 1.

Due Monday 12/3 at 8am

The Area Function

• To read: Re-read 5.1 and 5.2
• Be sure to understand: Everything

E-mail Subject Line: Math 101 Your Name 12/3

Reading questions:

Suppose that f (x) = 4x+2. Let A_f(x) be the area function from 0 to x of f.
1. What is A_f(1)?

2. What is A_f(x), if x>0?

Due Wednesday 12/5 at 8am

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 12/5

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:

• Begin working on PS 13 Tuesday or Wednesday, and work on it throughout the week.
• The final exam is Saturday 12/15 at 2pm. I don't know the location, but you can find it out by looking around for the postings on the walls.
• The final will be cumulative, of course. Begin reviewing now (or sooner) and get help on anything you never understood, or used to understand and don't anymore, or mostly understand . Please ask me about anything you've never understood, whether it's basic or deep, old or new.

Due Friday 12/7 at 8am

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 12/7

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.

Due Monday 12/10 at 8am

Section 5.4: Approximating Sums

• To read: Re-read this section Finish
• 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:

• Again, the final is Saturday 12/10 at 2pm.
• You may have a "cheat sheet" on the final, but the same rules apply as before: it still must be just the front of a standard-sized sheet of paper, and the notes must be handwritten (by you) -- i.e. no shrinking your three previous ones onto one sheet!