AP Calculus

Objectives and Assignments

AP Calculus is a course designed to prepare students to take the College Board AP Calculus AB exam. This course includes a study of limits, derivatives, and integrals. The concentration of this course is on the concepts of Calculus. We will cover Chapters 2-6 and portions of chapters 1, and 7 from Larson’s Calculus.

The main ideas of Calculus are credited to Gottfried Leibniz Sir Isaac Newton (pictured above). These ideas have been around for quite a while. Newton and Leibniz were working in the 1600’s.

Objectives

10/4/02

	Find the extrema on a closed interval.
	Writing: What are the extreme points of an interval? Where do they occur?

10/7/02

	Apply Rolle's Theorem
	Apply the Mean Value Theorem
	Writing: What is the algebraic meaning of the Mean Value Theorem? What is the geometric meaning?

10/8/02

	Know the relationship of the sign of the first derivative to increasing and decreasing functions.
	Apply the First Derivative Test.
	Writing: What is the relationship between the first derivative of a function and where the function is increasing or decreasing? How does the First Derivative Test work?

10/9/02

	Know the relationship between the sign of the second derivative and concavity.
	Apply the Second Derivative test.
	Writing Assignment: What is the relationship between the second derivative and concavity? What is a point of inflection? How do you find one?

10/10/02

Find the limit of a function as x goes to + or - infinity.

10/11/02

Graph functions using intercepts, asymptotes, and derivatives.

10/14/02

More graphing.

Assignments

Date Page Selected Problems

10/4 182 10,14,15,16,20,22,24,26

10/7 189 4,8,14,16,22,24,30,31,34

10/8 197 8,16,20,28,30,32,36-38,41,46

10/9 204 6,20,26,32,36,42,44,52,53

10/10 213 1-8,10,18,20,22,26,28,32,51,53,54

10/11 Handout all

10/14 Packet all

Some interesting Web Sites you may wish to visit www.collegeboard.org/ap/students/calculus/,www.mecca.org/~halfacre/MATH/lessonshalfacre/MATH/lessons

www.pipeline.com/~merlin/apcalc.htm

images from philosophy.ucsd.edu/Leibniz/ and www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Newton.html