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Unformatted text preview: Course: AP Calculus AB, 1 st Semester Text: Calculus: Graphical, Numerical, Algebraic , Scott Foresman/Addison Wesley Cost: $61.47 Prerequisite: Precalculus Curricular goals interwoven throughout the mathematics program are that students will: learn to communicate mathematically (QCC) learn to use mathematics in their daily lives (QCC) become proficient with appropriate computational tools and techniques (QCC) learn to reason mathematically (QCC) become mathematical problem solvers (QCC) These goals will provide the direction for assessment and instruction. Attainment of these goals is facilitated by the students’ demonstration of the following topics provided by The College Board: Chapter 1: Prerequisites for Calculus (pp. 1-53) Summer Assignment plus 4 days • basic knowledge of elementary functions: linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise defined • properties of functions • algebra of functions • graphs of functions • language of functions, including domain and range, odd and even, periodic, symmetry, zeros and intercepts • values of trigonometric functions of numbers such as 0, , , , . 6 4 3 2 and π π π π Chapter 2: Limits and Continuity (pp. 54-93) 15 days • an intuitive understanding of the limiting process • calculating limits using algebra • estimating limits from graphs or tables of data • understanding asymptotes in terms of graphical behavior • describing asymptotic behavior in terms of limits involving infinity • comparing relative magnitudes of functions and their rates of change • understanding continuity in terms of limits • geometric understanding of graphs of continuous functions (Intermediate Value Theorem and Extreme Value Theorem) • derivative presented geometrically, numerically and analytically • derivative interpreted as an instantaneous rate of change...
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This note was uploaded on 01/24/2012 for the course HUM 9999 taught by Professor Variousprofessorslisted during the Summer '06 term at Abilene Christian University.
- Summer '06