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=Welcome to the Franklinville C.S. AP Calculus AB (via Distance Learn) Wikispace.=

AP Calculus AB is primarily concerned with developing the students' understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multirepresentational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally.

**The course is intended to be challenging and demanding.** College credit will not be given to you by simply taking this course, you will have to put in the necessary amount of time. Calculus I is a 3 to 4 credit-hour course in most colleges; meaning that for every 1 hour spent in class you will need to spend 3 to 4 hours outside of class.

**Goals for the course:**

 * 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.
 * Students shoud 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.
 * Students should 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.
 * Students should understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
 * Students should be able to cummunicate mathematics and explain solutions to problems both verbally and in written sentences.
 * Students should be able to model a written description of a physical situation with a function, a differential equation, or an integral.
 * Students should be able to use technology to help solve problems, experiment, interpret results, and support conclusions.
 * Students should be able to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.
 * Students should develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.

**Topic Outline for the course:**
I: Functions, Graphs, and Limits: II: Derivatives: III: Integrals:
 * Analysis of graphs
 * Limits of functions (including one-sided limits)
 * Asymptotic and unbounded behavior
 * Continuity as a property of functions
 * Concept of the derivative
 * Derivative at a point
 * Derivative as a function
 * Second derivatives
 * Applications of derivatives
 * Computation of derivatives
 * Interpretations and properties of definite integrals
 * Applications of integrals
 * Fundamental Theorem of Calculus
 * Techniques of antidifferentiation
 * Appications of antidifferentiation
 * Numerical approximations to definite integrals

**Grading Policy:** READ: [[file:DL Testing Procedures.pdf]]
I: Homework (20% of quarter grade): Homework is to be turned in by 3:00 pm on the day it is due. Assignments more than 1 day late will not be excepted for a grade. There are two types of homework: Homeworks (all work for that matter) must have the proper heading: AP Calc. AB -- Name Assignment --- Date II: Quizzes (35% of quarter grade): Depending on the length, you can expect 1-3 quizzes per chapter. III: Exams (45% of quarter grade): There will be an exam at the end of each chapter.
 * Completion homework: Every section that we cover will have a book assignment to be completed and turned in. You will be provided the answers to these assignments, therefore they are graded on a completion basis.
 * Graded homework: Every chapter will have a couple non-book assignments to be completed and turned in. These assignments will be graded on correctness.
 * Subject to change

**Vital Information:**
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 * 1) E-mail: sshenk@frkl.wnyric.org
 * 2) Fax: 1. High School Library: 716-676-8018 2. High School Guidance: 716-676-2032
 * 3) Google Voice Number: (716) 701-4149 feel free to send a text, just let me know who you are.
 * 4) Google Chat. If the badge below says I'm available, send me a message, again, be sure to say who you are or I won't respond!

A Simpsons classic: media type="custom" key="6889287"

The scariest thing known to man!!!!! media type="file" key="Scariest thing known to man.flv" width="360" height="270"

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