AP Calculus Instructor & Contact Information: Betty Mayberry [email protected] Course Description: Calculus AB and Calculus BC are primarily concerned with developing the students’ understanding of the concepts of calculus and providing experiences with its methods and applications. These courses emphasize a multi- representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections between these representations are vital to the successful understanding of calculus. Calculus BC is an extension of Calculus AB rather than an enhancement. Common topics require similar depth of understanding and both courses are intended to be challenging and demanding. Through the use of unifying themes of derivative, integral, limits, and approximation, and applications and modeling, both course become a cohesive whole rather than a collection of unrelated topics. AP Calculus BC is designed to follow the AP Calculus BC curriculum established by the College Board. This curriculum can be found and is available online at http:/apcentral.collegeboard.com. This course examines both differential and integral calculus, focusing on a wide variety of functions. Students are expected to posses the determination and initiative to take on a college level course as well as the corresponding work load. Students are required to take Calculus AP exam. Students will have completed one fourth of the topics found in this curriculum in our pre calculus class. Successful completion of a summer home work assignment is a prerequisite for the class. This course may be taken in conjunction with Physics C. Major Course Units: Semester 1: 1) Limits and continuity Summer Assignment 2) The Derivative (3 weeks) 3) Parametric and Polar Functions (2 weeks) 4) Applications of the Derivative (7 weeks) Extreme Value Modeling and Optimization Related Rates 5) The definite integral (3 weeks) Riemann Sums Area Properties of Integrals # Semester Review/Semester Exam (1 week) Semester 2: 6) The definite integral (2 weeks) Fundamental Theorem of Calculus 7) Differential Equations (3 weeks) 8) Application of the Definite Integral (2 weeks) 9) Improper Integrals with L’Hopital’s Rule Revisited (3 weeks) 10) Parametric, Vector, and Polar Functions (2 weeks) 11) Sequence and Series (6 weeks) Textbook: Calculus Graphical, Numerical, Algebraic ISBN 0-13-063131-0 Pearson Education