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Cover image for Preparing for the calculus AP* Exam with calculus : graphical, numerical, algebraic
Title:
Preparing for the calculus AP* Exam with calculus : graphical, numerical, algebraic
Series:
Text Plus Test Pearson Series for AP* Success
Publication Information:
Boston, MA : Pearson Addison Wesley, 2006
ISBN:
9780321292650
Added Author:

Available:*

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30000003590688 QA303.2 P74 2004 Open Access Book Book
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Summary

Summary

This unique review workbook for the AP* Calculus Exam is tied directly to two best-selling textbooks: Calculus: Graphical, Numerical, Algebraic by Finney, Demana, Waits, and Kennedy Precalculus: Graphical, Numerical, Algebraic by Demana, Waits, Foley and Kennedy *AP is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.


Table of Contents

Part I Introduction to the AP AB and BC Calculus Exams
Part II Precalculus Review of Calculus Prerequisite?
Calculus Prerequisites?
Precalculus - A Preparation of Calculu?
Functions
Transformation?
Polynomial Function?
Rational Function?
Exponential Function?
Sinusoidal Function?
More Trigonometric Function?
Inverse Trigonometric Function?
Parametric Relation?
Numerical Derivatives and Integrals
Part III Calculus Review of AB and BC Topic?
Functions, Graphs, and Limits:?
Analysis of Graphs?
Limits of Function?
Asymptotic and Unbounded Behavio?
Function Magnitudes and Their Rates of Chang?
Continuity
Intermediate and Extreme Value Theorem?
Parametric, Polar, and Vector Function?
Derivatives?
Concept of the Derivativ?
Differentiability and Continuit?
Slope of a Curve at a Poin?
Local Linearit?
Instantaneous Rate of Chang?
Relationships Between the Graphs of f and f?
The Mean Value Theore?
Equations Involving Derivative?
Correspondences Between the Graphs of f, f' and f"?
Points of Inflectio?
Concavity of Function?
Extreme Value of Function?
Analysis of Parametric, Polar, and Vector Curve?
Optimization Related Rate?
Implicit Differentiatio?
Derivative as a Rate of Chang?
Slopefields Euler's Metho?
L'Hopital's Rul?
Derivatives of Basic Function?
Derivative Rule?
Chain Rule Exploration?
Chain Rul?
Derivatives of Parametric, Polar, and Vector Function?
Integrals?
Riemann Sum?
Definite Integral of a Rate of Chang?
Basic Properties of Definite Integral?
Applications of Integral?
Fundamental Theorem of Calculu?
Antiderivative Basic?
Integration by Substitutio?
Integration by Part?
Integration by Simple Partial Fraction?
Improper Integral?
Initial Value Problem?
Separable Differential Equation?
Numerical Approximations to Definite Integral?
Polynomial Approximations and Series?
Concept of Serie?
Geometric, Harmonic and Alternating Serie?
Integral Test, Ratio Test, Comparison Tes?
Taylor Polynomial?
Maclaurin and Taylor Serie?
Manipulating Taylor Serie?
Power Serie?
Radius and Interval of Convergenc?
Lagrange Error Bound
Part IV Practice Examination?
AB Exam
AB Exam
BC Exam
BC Exam 2
Part V Answers and Solution?
Solutions for
Part 2 Precalculus Review of Calculus Prerequisite?
Solutions for
Part 3 Calculus Review of AB and BC Topic?
AB Exam 1 Solution?
AB Exam 2 Solution?
BC Exam 1 Solution?
BC Exam 2 Solutions
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