Upper School Course Description

Prerequisites: Grade of B+ or higher in Precalculus and departmental recommendation

AP Calculus AB is primarily concerned with developing students' understanding of the concepts of calculus and of its methods and applications. It emphasizes a multi- representational approach to calculus, with concepts, results, and problems expressed graphically, numerically, analytically, and verbally. AP Calculus AB requires students to implement all mathematical concepts covered in previous high school classes. Competency in geometry formulas and rational, radical, polynomial, exponential, logarithmic, and trigonometric functions is expected. The first month is dedicated to limit theory, leading to differentiation and integration and their basic formulas. Topics include definition of the derivative using limits, fundamental differentiation formulas, tangent lines, rates of change, related rates, and applying calculus to principles of physics. Advanced techniques of differentiation and integration are studied, followed by the calculus of exponential growth, logarithms, and differential equations. Volumes of revolution is the concluding topic and a highlight of the year. A graphing calculator is required to enhance concept connections and support solutions; an approved calculator is required for the AP exam. Preparation for the AP exam is a main class objective.