Day 08 in MAT227

Today:

• Announcements:
  • Your assignment is returned: Page 282, graded
    • 4
    • 20
    • 28
  • Next time we'll review, and Monday we'll have our first exam (over chapter 5).

• First 30 minutes: answering your questions. Questions from sections 6.1 (or earlier)
  • The difference in area between two curves
  • The last lab
  • Substitution
  • Net change as the integral of a rate
  • The Fundamental Theorem of Calculus, Part II
  • The Fundamental Theorem of Calculus, Part I (it's really that easy!)
  • anti-derivatives
  • Definition of the Riemann sum (a function of three variables! See p. 262).
  • Definition of the definite integral.
  • Properties of the definite integral.
  • Summation formulas
  • Limits of summations (power sums)
  • Putting these formulas into your calculator.
  • ???

• Next 25 minutes:

  You will undertake the following activity, global land temperatures (from the National Oceanic and Atmospheric Administration's National Climatic Data Center.

• For the final 20 minutes, we'll switch to a class discussion of the proposed solution(s).