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:

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?

For December 3

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)=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.

For December 8

Reread Section 5.4

Email Subject Line: Math 101 12/8 Your Name

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?

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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