AP+Calculus+AB

Digital textbook [|Pre-Chapter] [|Chapter 1] [|Chapter 2] [|Chapter 3] [|Chapter 4] [|Chapter 5] [|Chapter 6] [|Chapter 7] [|Chapter 8] [|Chapter 9] [|Chapter 10] [|Chapter 11] || ==**Summer Assignments for Calculus**== Class sign-in with Kahn Academy; DFJXA9KA
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Go thru assigned modules, view the videos and do the assigned problems. Have a good summer!

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Prerequisites
Before studying calculus, all students should complete four years of secondary mathematics designed for college-bound students: courses in which they study algebra, geometry, trigonometry, pre-calculus. These functions 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, the algebra of functions, and the graphs of functions. Students must also understand the language of functions (domain and range, odd and even, periodic, symmetry, zeros, intercepts, and so on) and know the values of the trigonometric functions of the numbers 0, pi/6, pi/4, pi/3, pi/2, and their multiples.

Course Goals- to learn to be able to say " Calculus is easy, it's made up of only easy problems in disguise."
Students should be able to:
 * work with functions represented in a variety of ways: graphical, numerical, analytical, 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 they 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.
 * communicate mathematics both orally and in well-written sentences and should be able 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.

__**Rules and secrets to success in AP Calculus**__
 * Calculus is going to be a lot of work, but can be learned by anyone willing to work.
 * Work hard, play hard and have fun!
 * You can do it, and I am here to provide you with as many opportunities to be successful as possible.
 * [|AP Calculus Syllabus]
 * California Content Standards

__**Extra Resources for AP Calculus**__ include component="pageList" hideInternal="true" tag="support" limit="10" include component="pageList" hideInternal="true" tag="calc" limit="10"