Reading Assignments -
Math 101 - Calculus I
December 1997
Be sure to check back often, because the assignments may change.
For December 1
Section 5.3: The Fundamental Theorem of Calculus
- To read: All, except that you may skip the proof of the FTC beginning on page 373 (we'll see a different proof in class)
- Be sure to understand:
The statement of both the first and second forms of the Fundamental Theorem; Example 3
Email Subject Line: Math 101 12/1 Your Name
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?
For December 3
Project 3 today. No Reading Assignment.
For December 5
Section 5.4: Approximating Sums
- To read: Through page 381
- Be sure to understand:
The figures on page 378
Email Subject Line: Math 101 12/5 Your Name
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.
For December 8
Reread Section 5.4
Email Subject Line: Math 101 12/8 Your Name
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?
For December 10
We were originally scheduled to cover Newton's Method today, but
we'll talk about a few different fun things instead.
In other words, no reading assignment for today.
For December 12
Last day of class. No Reading Assignment.
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