AP Calculus BC
This is an Advanced Placement level mathematics course with honors credit designed for students who have successfully completed Honors Trigonometry/Analysis/Calculus or Honors Pre-Calculus/Trigonometry. A summer project may be required to supplement this rigorous program. The curriculum includes an enriched study of differential and integral calculus and additional topics based on recommendations for the Advanced Placement curriculum. Problems are examined through numeric, graphic, algebraic, and written analysis, allowing for the development of higher level thinking skills. In addition to the mathematics in this course, a strong emphasis is placed on the use of technology in the form of the graphing calculator and other related technologies as needed for integration with project requirements. This course also provides students with the background necessary to participate in the College Board Advanced Placement testing program.
Prerequisite: Before studying calculus, all students should complete four years of secondary mathematics designed for college-board students: courses in which they study geometry, trigonometry, analytic geometry, and elementary functions. These include those that are linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise defined. In particular, before studying calculus, students must be familiar with the properties of functions, and the graphs of functions. Students must also understand the functions (domain and range, odd and even, periodic, symmetry, zeros, and so on) and know the value of the trigonometric functions of the numbers 0, pi/3, pi/2, and their multiples.