AP: Passed back tests on indefinite integrals. Corrections are due Thursday. Began study of definite integrals. Looked at Fundamental Theorem of Calculus part 2, and the basic method for evaluating a def. integral, and then looked at how it can relate to both area under a curve as well as net change (displacement).
Homework: Test corrections due Thursday
Honors: Pushed back test to Friday. Book work on extremes due Wednesday. Worked on the study guide more. The solutions are here.
Tuesday
AP: Examined the Riemann sum, a complicated topic. It is a method of using rectangles (or trapezoids, as we will see) to estimate the area under a curve. The important parts are to recognize that the intervals deltaX are found by subtracting our interval's endpoints and dividing by the number of intervals we would like to use (the more we use, the more accurate our answer will be). So deltaX = (b-a)/n. These represent the width of the rectangles. The height of each is dependent upon the function f(x), as there can be Left Rectangles, Right Rectangles, and Midpoint Rectangles (LRAM, RRAM, MRAM). We practiced with each. We then worked some practice problems on definite integral evaluation due Friday. NOTES
Homework: Test corrections due Thurs, definite integrals handout due Friday. #967-972, #1004-1007.
Wednesday
AP: In DS, worked through a complicated definite integral involving a u-substitution. It is one of the problems from the homework. Notes
Honors: More preparation for Friday's test. Turned in book homework on relative and absolute extrema. Handed out extra credit for test by working on a practice test...be sure to show all work for full credit.
Thursday
AP: Class canceled due to Usher.
(Never thought I'd say those words...)
Friday
AP: No DS because of NHS.
Honors: Handed out take home test. It, along with the extra credit problems, are due on Wednesday. Learned about concavity, what it is, and how to find when a function is concave up or down algebraically as well as graphically. Also learned what an inflection point is and how to find it in the same two methods. Notes
Homework: TAKE HOME TEST!!!