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Join us for a Calculus study session to review area formulas, trapezoidal rule, and prepare for upcoming tests. Bring pencil and calculator. Homework questions on pages 303 and 315. Tutoring available after school. Let's explore trapezoidal approximation and area under the curve conceptually.
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AP CALCULUS March 19, 2012
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, would Trapezoids be an over or under 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.