This course is intended for students who have a thorough knowledge of analytical geometry and elementary functions in addition to algebra, geometry, and trigonometry. This course is a rigorous treatment of the topics of elementary calculus. Algebraic, trigonometric, exponential, and logarithmic functions will be studied, with an emphasis on their properties and limits. Differential calculus will be studied and will include defining the derivative, taking the derivative of functions, and applying the derivative to related rates problems and maximum-minimum problems. The following topics of integral calculus will be studied: Antiderivatives and their applications; definite integrals and their applications, including area under the curve, velocity and acceleration, and volumes of solids of revolution; and techniques of integration. This course includes all the topics of Calculus AB plus additional topics such as L'Hopital's Rule, Taylor's Series, improper integration techniques, conic sections, parametric equations and polar coordinates. This course is designed for credit or placement 1 year beyond Calculus AB. Students interested in mathematics, or the science and engineering disciplines should take this course. This class covers 2 semesters (usually 8 credit hours) of college calculus.
PRE-REQUISITES: Honors Pre-Calculus or AP Calculus AB: This BC class will meet everyday. However, students who take BC Calculus after taking AP Calculus AB may join the class in late October.
RECOMMENDED FOR: 11th, 12th
TEACHER: Pete Williams