AP Calculus AB (Period 7)

Course Description

Advanced Placement Calculus AB covers the topics of elementary functions, differential and integral calculus. Students evaluate limits, analyze and apply the notions of continuity and differentiability to algebraic and trigonometric functions; use the concept of the derivative and the various formulas associated with it to investigate the properties of functions; use implicit differentiation to solve related rates, problems; construct detailed graphs of functions using differentiation; use basic integration techniques to solve simple differential equations; apply the Fundamental Theorem of Calculus to evaluate definite integrals and solve real world problems; differentiate and interpret logarithmic and exponential functions in addition to inverse trigonometric functions. The course is primarily concerned with an intuitive understanding of the concepts of Calculus with emphasis on methods and applications and meets the requirements for G/T. Whenever possible the use of technology is incorporated with traditional problem-solving methods. After successful completion of the course, the student should be prepared to take the College Board Calculus AB Advanced Placement exam in May.