AP Calculus BC
This course focuses on applications of limits, differentiation and integration. Numerical approaches (such as Newton’s method, Simpson’s Rule, and Euler’s Method); various techniques of integration; indeterminate forms for limits; and Taylor series are also covered, as well as application of Calculus techniques to parametric and polar representations. Throughout the course, an emphasis is placed on symbolic, graphical and numeric representations, as well as on clear communication of mathematical thinking. Students successfully completing this course are prepared to take the Calculus BC AP Exam which requires use of a graphing calculator.
Recommended: Pre-‐Calculus. After completion of this course, students will be able to
- Work with functions represented in a variety of ways and understand the connections among these representations.
Understand the meaning of the derivative in terms of a rate of change and local linear approximation, and use derivatives to solve a variety of problems.
- Understand the relationship between the derivative and the definite integral
- Communicate mathematics both orally and in well-written sentences to explain solutions to problems.
- Model a written description of a physical situation with a function, a differential equation, or an integral.
- Use technology to help solve problems, experiment, interpret results, and verify conclusions.
- Determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.