AP Calculus

A. The class discussed the homework from 9/13/06 which further explored the concept of the instantaneous rate of change and approximating it using the difference in x over the difference in y.

B. The class worked on a handout from section 1.3 that introduced definite integrals and then discussed it.

-A definite integral is the product of the dependent and the independent variable.
-For example, if x is time in seconds and y is speed in ft./sec. (A graph of speed over time) then the area of the space below the graph is xy, or x ft./sec * y sec, or just xy ft. The area of the space under the curve is in feet and represents the distance traveled.
-If you have a graph of the distance from the point of a football in in. versus the area of the cross-section of the football at that distance in in.^2, then the definite integral is xy, or x in. * y in.^2, or xy in.^3. The area of the space under the graph is in cubic inches and represents the volume.

C. The class took the weekly quiz

D. The homework assigned is Section 1.3 Q’s 1-6 and 1-11 odd, 12-14 on pg. 16

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