For 2 December

• 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
• Possible Reading Quiz questions:
  Since it's the first day after Thanksgiving break, no quiz, but you should be able to answer:
  1. Find the area between the x-axis and the graph of f(x)=x^3 + 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 4 December

For 6 December

• To read: Through page 382
• Be sure to understand: The figures on page 378; the section on Sigma Notation beginning on page 380
• Possible Reading Quiz questions:
  Let f(x)=x^2 and let I represent the integral of f from x=0 to x=3.
  1. Estimate I by finding L_3, the left sum with 3 equal subintervals.
  2. Estimate I by finding R_3, the right sum with 3 equal subintervals.

For 9 December

• To read: Finish reading the section.
• Be sure to understand: The definition of a Riemann sum on page 383.
• Possible Reading Quiz questions:
  No quiz today, but think about:
  • Why does the limit definition of the integral on page 383 make sense?
  This takes some work to understand.

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