M A RC H 1 9 , 2 0 1 2

AP CALCULUS

STUDY SESSION @ DAVIESS CO.

• I have the following going on Saturday:• Rachel• Tanner• Haley• Ross

• Anyone else?• Meet in teacher’s parking lot @ 7:30 am. We will return

around 3 pm. Bring pencil & calculator.

HOMEWORK QUESTIONS?

• Page 303 (Thursday’s) – using area formulas

• Page 315 (Friday’s) – review questions

• Tutoring after school today & Tuesday only.

• Unit test on Wednesday, Quiz #2 on integrals on Thursday• Test on integrals & derivatives next week.

TRAPEZOIDAL RULE

• What is the area of a trapezoid?

TRAPEZOIDAL RULE

• So, what if we used trapezoids to find the area under the curve?• Would this be a better approximation than using RAM?• In this example, wouldTrapezoids be an over orunder estimation? Why?

TRAPEZOIDAL RULE

• What would the area look like analytically?

• What is the height? • Where are the bases?

TRAPEZOIDAL RULE

• Let’s do an example.• Use the Trapezoidal Rule with n=4 to estimate 2dx.

TRAPEZOIDAL RULE

• Compare the estimate with the value of NINT (x2, x, 1,2) and with the exact value.

AVERAGING TEMPERATURE

• Look at page 308 Example #2. This is an excellent example of a tabular problem that could be on the AP exam.