Calculus AB
Bob Barefoot
This course will cover all of topics in the Calculus AP course description as defined by the College Board. We will make extensive use of technology both from what the student needs to know and how the teacher can promote better understanding from its use in demonstrations. We will explore Calculus Theory as well as teaching techniques. The agenda below is not comprehensive. We will discuss other topics that are of concern to the group.
Course Agenda for Calculus AB
Monday
Limits, continuity, Intermediate Value Theorem, Mean Value theorem and introduction to derivatives
Tuesday
Derivatives and their applications from analytic, graphic and numeric approximations as well as verbal explanations. How the graph of a function can be obtained from the graph of its derivative and what is acceptable on the AP exam. Implicit functions and related rates
Wednesday
Differential Equations, slope fields, Riemann Sums, The Fundamental Theorem of Calculus. Areas and Volumes, Numerical and analytic techniques of integration
Thursday
Accumulation functions, Inverse functions and their derivatives, tables of values. The future of AP, TI Inspire and CAS
Friday
How the AP exam is constructed and graded
