Course Title:  AP Calculus BC

2 Semesters – 10 credits – 5 Class Periods Per Week

 

Course Description:
AP Calculus BC is designed to be a college level second semester calculus course which will prepare the student to succeed on the Advanced Placement test for Calculus BC. Specifically, it is intended to fulfill the requirements of the “Calculus BC” course outlined in the Mathematics Advanced Placement Course Description.
 
 
Course Objectives:

• Students will understand how relationships and concepts in mathematics demonstrate the wonders of God’s creation.
• Students will understand how mathematics reveals the invisible attributes of God.
• Students will understand how mathematics aids mankind in fulfilling our purpose of honoring God and serving each other.

 
AP Calculus BC includes a review of all Calculus AB topics. In addition, the course will include the following topics:

• Parametric, polar, and vector functions.
• Analysis of planar curves given in parametric, polar, and vector form.
• Geometric interpretation of differential equations via slope fields.
• Numerical solution of differential equations using Euler’s method.
• Derivatives of parametric, polar, and vector functions.
• Antiderivatives by simple partial fractions.
• Polynomial Approximations and Taylor Series, Maclaurin Series, and Power Series.

 
In addition, students will continue to learn the use of graphing calculators as a tool for exploration as well as to check the reasonableness of a solution.
 
 
Textbook:
John Saxon and Frank Wang. Calculus with Trigonometry and Analytic Geometry. Second Edition.Norman, OK: Saxon Publishers, 2002. Supplementary material is added as deemed appropriate by the teacher.
 
 
Required Materials:
Bible, textbook, a graphing calculator, writing materials
 
 
Prerequisites:
Students must have earned a “3” or better on the Calculus AB exam or obtained the consent of the instructor.