AP Calculus AB (Sem 2)

AP Calculus AB (Sem 2) is the second semester in a two-semester course sequence. It offers instruction in the areas of functions and limits, differential calculus, and integral calculus. The course applies differential calculus to finding the slope of a curve, solving problems with related rates, calculating motion properties of moving particles, etc. It then applies integral calculus to finding the areas of irregular regions in a plane, volumes of rotation by various methods, and other scientific applications. Finally, the course explores analytic geometry, series and convergence, as well as polynomial series and approximations. The above is accomplished using inquiry, real-life application, and technology emphases during the course. The purpose of this course is to provide students with a deep understanding of the concepts of calculus through developing mathematical knowledge conceptually, connecting topics and representations throughout the course, and solving diverse types of problems using various techniques and approaches. Having completed this course, students will be prepared for further post-secondary courses that require calculus, as well as for the AP exam. The course does not include the AP Exam; students can contact their school’s AP Coordinator or the College Board to sign up to take the Exam. In order to maintain the integrity of AP standards, all AP course midterm and final exams must be proctored.