This course seeks to give superior students a substantial training in differential and integral calculus with sufficient application to bring out the meaning and importance of the subject. Topics that are covered include: Analytic Geometry: Review and extension of the topics, rectangular coordinates, equations and graphs, distance and slope, straight lines, and conic sections; Differential Calculus: Explicit and implicit differentiation, algebraic and transcendental functions, differentials, simple differential equations, Rolle’s Theorem, and Theorem of the Mean; Integral Calculus: Anti-differentiation, the Fundamental Theorem of Integral Calculus, methods of integration, the Trapezoidal Rule, areas, average value of a function, and volume of revolution. All Advanced Placement students are required to take the Advanced Placement Examination in May. A graphing calculator is required for the course and the AP exam.