Grade: 11, 12
Duration: One Year
Pre-requisites: Students coming from Pre-Calculus must have achieved an A (94% or higher). Students coming from Honors Pre-Calculus must have achieved a B+ or better.
Students coming from Calculus AB must have achieved a C+ or better in the course. However, it is recommended to take AB or BC, not both. They must also have permission from their current Math instructor.
The AP Calculus BC course is, in essence, an accelerated and extended version of AP Calculus AB.
Where AB is challenging, BC is even more so.
The AP Calculus BC curriculum includes the study of series of numbers, power series and various methods to determine convergence or divergence of a series. Students should be familiar with Maclaurin series for common functions and general Taylor series representations. Other topics include the radius and interval of convergence and operations on power series. The technique of using power series to approximate an arbitrary function near a specific value allows for an important connection to the tangent-line problem and is a natural extension that helps achieve a better approximation. The concept of approximation is a common theme throughout AP Calculus and power series provide a unifying, comprehensive conclusion.