Advanced Placement Calculus AB

Contact Information

Room:  133

Telephone:  (865) 774 - 5790 ext. 133

Email:  gregorycole@sevier.org

Social Media:

Text(s)

Required Supplies

Course Objectives

(AP Calculus Course Overview)

Course Overview

  1. Functions, Graphs, and Limits Analysis of graphs.

With the aid of technology, graphs of functions are often easy to produce. The emphasis is on the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function.

Limits of functions (including one-sided limits)

Asymptotic and unbounded behavior

Continuity as a property of functions

  1. Derivatives

Concept of the derivative

Derivative at a point

Derivative as a function

Second derivatives

Applications of derivatives

Computation of derivatives

  1. Integrals

Interpretations and properties of definite integrals

Applications of integrals. 

Appropriate integrals are used in a variety of applications to model physical, biological, or economic situations. Although only a sampling of applications can be included in any specific course, students should be able to adapt their knowledge and techniques to solve other similar application problems. Whatever applications are chosen, the emphasis is on using the method of setting up an approximating Riemann sum and representing its limit as a definite integral. To provide a common foundation, specific applications should include finding the area of a region, the volume of a solid with known cross sections, the average value of a function, the distance traveled by a particle along a line, and accumulated change from a rate of change.

Fundamental Theorem of Calculus

Techniques of antidifferentiation

Applications of antidifferentiation

Numerical approximations to definite integrals.

(AP Calculus Course Description)

Major Projects/Field Trips

Grading 

Parental Access to Instructional Materials

Resources

AP Calculus Course Description.  https://secure-media.collegeboard.org/digitalServices/pdf/ap/ap-calculus-course-description.pdf

AP Calculus Course Overview.  http://media.collegeboard.com/digitalServices/pdf/ap/ap-course-overviews/ap-calculus-ab-course-overview.pdf