AP Calculus                   

 

 

This course will prepare students to take the AB level AP Calculus examination. The syllabus adheres to the AB AP Calculus curriculum.  If all three levels of Calculus are offered, then students will be expected to take the Advanced Placement Calculus Examination in May.

 

Upon successful completion of this course, students should be able to:

*analyze the fundamental planar curves and their transformations, represented both graphically and algebraically

*analyze limits of functions and continuity numerically, graphically, verbally, and algebraically

*analyze the derivative as instantaneous rate of change and as the limit of the difference quotient, both at a point and as a function, to solve application problems

*compute derivatives of basic functions via Chain Rule and implicit differentiation

*use the integral as an accumulator of area to solve application problems

*evaluate definite integrals using the Fundamental Theorem of Calculus and by numerical approximation and solve    application problems involving integrals and antiderivatives

*solve simple differential equation problems analytically

*utilize a graphing calculator as an integral tool for problem solving.