Advanced Placement Calculus BC (40421)

1 credit, 2 semesters Elective Grade 12
Prerequisite: Pre-Calculus BC and math department’s approval

Students that have shown a strong ability in mathematics and need to study Calculus for their future career are encouraged to take this course. Upon successful completion of the course and the AP Calculus exam, students may receive college credit in Calculus. The course follows the topical outline provided for the course by the College Board including: Analysis of graphs, limits of functions, asymptotic and unbounded behavior, continuity as a property of functions, parametric, polar and vector functions, concepts of the derivative, derivative at a point, derivative as a function, second derivatives, applications of derivatives, computation of derivatives, interpretations and properties of the definite integral, applications of integrals, the Fundamental Theorem of Calculus, techniques of anti-differentiation, applications of anti-differentiation, numerical approximations to definite integrals, polynomial approximations and series, series of constants, and Taylor series.

Required Items: A TI-83/84 graphics calculator.