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AP Calculus AB – Syllabus New York Mills UFSD – 2006-2007 Textbook: Calculus by Larson & Hostetler (3rd Edition) Supplemental: Multiple Choice & Free Response Questions in Preparation for the AP Exam by Lin McMullin (8th Edition) MAPLE Software Winplots Program TI-83+ Graphing Calculator Course Overview The purpose of this course is to give students the knowledge and skills to understand and be able to use calculus to analyze and make decisions about higher level mathematics. It is my goal to prepare these students not only for the AP exam, but also for math courses they will be taking throughout their college careers. Pre-requisite The students should have sufficient knowledge about functions including but not limited to graphing, domain and range, symmetry, zeros, even and odd functions. The students should also be familiar with the keystrokes of the TI-83 graphing calculator including graphing functions, finding zeros and points of intersection. Course Outline Unit1 - Functions Objectives and Goals 1. The students will be able to have basic understanding of functions: -Sketching in coordinate axis using techniques such as plotting points, symmetry, intercepts -Identify or describe domain and range 2. Understanding functions and their transformations -Identify equations of basic functions Section and Book Number Chapter 1 1.3 1.5 1.3, 1.4 Unit 2 – Limits Objectives and Goals 1. The students will be able to find the derivative of a function through the limit four-step process -Understand the notation of limits Section and Book Number 2.1, 2.2, 2.3, 2.5 2. Use limits to aid in curve-sketching -Horizontal and vertical asymptotes Unit 3 – Introduction to Derivatives Objectives and Goals 1. The students will be able to find the derivative for various function in explicit form -Understand as a rate of change -Interpret as slope of a function at a point -Differentiate products, quotients and composition of functions 2. The students will be able to differentiate functions in implicit form 3. The students will be able to 2.4 Section and Book Number 3.1, 3.2, 3.3,3.7 3.6