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 Wednesday 5/2 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 5/4

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.

Reminder:

• Look at PS 13 (individual). This problem set will not be turned in, but you are responsible for the material it covers.

Due Friday 5/4 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 5/4

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 Wednesday 5/9 at 2pm.
• You may have a "cheat sheet" on the final, but the same rules apply as before: it still must be front only, handwritten (by you) -- i.e. no shrinking your three previous ones onto one sheet! and standard sized paper.