AP Calculus BC

Students should: 

• be able to work with functions represented in a variety of ways: graphical, numerical, analytic, or verbal. They should understand the connections among these representations.
• understand the meaning of the derivative in terms of a rate of change and local linear approximation, and should be able to use derivatives to solve a variety of problems. 
• understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change, and should be able to use integrals to solve a variety of problems. 
• understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus. 
• be able to communicate mathematics and explain solutions to problems both verbally and in written sentences. 
• be able to model a written description of a physical situation with a function, a differential equation, or an integral. 
• be able to use technology to help solve problems, experiment, interpret results, and support conclusions. 
• be able to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement. 
• develop an appreciation of calculus.

• Textbook: Calculus-Graphical, Numerical, Algebraic; Finney, Demana, Waits, Kennedy; Addison-Wesley
• Graphing Calculator Required