CLEP Calculus Exam Guide

CLEP Calculus Exam Guide - 18th Edition Calculus Visit our...

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© 2006 The College Board. All rights reserved. College Board, College-Level Examination Program, CLEP, and the acorn logo are registered trademarks of the College Board. Calculus 18th Edition The materials in these fi les are intended for personal use by students preparing for a College-Level Examination Program (CLEP ® ) examination. These materials are owned and copyrighted by the College Board. All copyright notices must remain intact. Violations of this policy may be subject to legal action, including but not limited to, payment for each guide that is disseminated unlawfully and associated damages. Visit our website at www.collegeboard.com/clep for the most up-to-date information.
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1 Calculus Description of the Examination The Calculus examination covers skills and concepts that are usually taught in a one-semester college course in calculus. The content of each examination is approximately 60% limits and differential calculus and 40% integral calculus. Algebraic, trigonometric, exponential, logarithmic, and general functions are included. The exam is primarily concerned with an intuitive understanding of calculus and experience with its methods and applications. Knowledge of preparatory mathematics, including algebra, plane and solid geometry, trigonometry, and analytic geometry is assumed. Students are not permitted to use a calculator during the CLEP Calculus exam. The examination contains 45 questions to be answered in 90 minutes. Any time candidates spend on tutorials and providing personal information is in addition to the actual testing time. Knowledge and Skills Required Questions on the exam require candidates to demon- strate the following abilities: • Solving routine problems involving the techniques of calculus (about 50% of the examination) • Solving nonroutine problems involving an understanding of the concepts and applications of calculus (about 50% of the examination) The subject matter of the calculus examination is drawn from the following topics. The percentages next to the main topics indicate the approximate percentages of exam questions on those topics. 5% Limits Statement of properties, e.g., limit of a constant, sum, product, or quotient Limits that involve infi nity, e.g., lim x x 0 1 is nonexistent and lim sin x x x →∞ = 0 • Continuity 55% Differential Calculus The Derivative • Defi nitions of the derivative, e.g., = fa fx xa ( ) lim () and = +− fx h h h ( ) lim ( ) 0 Derivatives of elementary functions Derivatives of sum, product, and quotient (including tan x and cot x ) Derivative of a composite function (chain rule), e.g., sin , , ln( ) ax b ae kx kx + ( ) Derivative of an implicitly defi ned function Derivative of the inverse of a function (including Arcsin x and Arctan x ) Derivatives of higher order Corresponding characteristics of graphs of ff f ,, ′′ and Statement (without proof) of the Mean Value Theorem; applications and graphical illustrations Relation between differentiability and continuity
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CLEP Calculus Exam Guide - 18th Edition Calculus Visit our...

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