This course covers an introduction into calculus including functions, derivatives, integrals and applications of each. It is designed to cover the majority of topics a student would encounter in a college level calculus course. The secondary goal of the course is to prepare students for the AP Calculus AB Examination.

By successfully completing this course, you 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 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.

• 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.

• Develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.