Reading Assignments for Calculus 1
Fall 2001, Math 101
December 2001
Be sure to check back often, because assignments may change!
Last modified: 8/27/01
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.
- What is A_{f}(1)?
- 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:
- Find the area between the x-axis and the graph of f(x)=x^{3}+4 from x=0 to x=3.
- Does every continuous function have an antiderivative? Why or why not?
- 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)=x^{2} and let I represent the integral of f from x=0 to x=3.
- Estimate I by finding L_{3}, the left sum with 3 equal subintervals.
- Estimate I by finding R_{3}, 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)=x^{2} and let I represent the integral of f from x=0 to x=3.
- Will L_{n} underestimate or overestimate I? Why?
- 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!
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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