Spring 2001, Math 101

May 2001

Be sure to check back often, because assignments may change!

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

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

• 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

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

Here ends the reading for the semester!

Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 109
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
jsklensk@wheatonma.edu

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