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EbookNice Team
Status:
Available4.6
27 reviews
ISBN 10: 0134105702
ISBN 13: 9780134105703
Author: Ross L Finney, Franklin Demana, Bert K Waits, Daniel Kennedy
The nationally recognized author team is back with the 6th Edition of Calculus: Graphical, Numerical, Algebraic written specifically for high school students taking AP Calculus. In this edition, author Michael Boardman joins the team. Not only was Michael chief reader of the AP Calculus exams for four years, but he also served five years on the Development Committee and five years on the AP Calculus Workgroup for ETS. With this new edition you will find helpful features such as detailed guidance in every chapter on the appropriate use of graphing calculators, notational fluency notes, Reasoning with Definitions and Theorems questions, and a new Prologue that sets the scene for calculus by considering two foundational questions: 1. If we know how fast an object is moving at each moment of time, then how far has it moved over a given interval of time? 2. If we know the position of an object at each moment of time, then how fast is it moving at any given moment?
Linear Functions
Functions and Graphs
Exponential Functions
Parametric Equations
Inverse Functions and Logarithms
Trigonometric Functions
Limits and Continuity
Rates of Change and Limits
Limits Involving Infinity
Continuity
Rates of Change, Tangent Lines, and Sensitivity
Derivatives
Differentiability
Rules for Differentiation
Velocity and Other Rates of Change
Derivatives of Trigonometric Functions
More Derivatives
Chain Rule
Implicit Differentiation
Derivatives of Inverse Trigonometric Functions
Derivatives of Exponential and Logarithmic Functions
Applications of Derivatives
Extreme Values of Functions
Mean Value Theorem
Connecting ƒ′ and ƒ″ with the Graph of ƒ
Modeling and Optimization
Linearization, Sensitivity, and Differentials
Related Rates
The Definite Integral
Estimating with Finite Sums
Definite Integrals
Definite Integrals and Antiderivatives
Fundamental Theorem of Calculus
Trapezoidal Rule
Differential Equations and Mathematical Modeling
Slope Fields and Euler’s Method
Antidifferentiation by Substitution
Antidifferentiation by Parts
Exponential Growth and Decay
Logistic Growth
Applications of Definite Integrals
Accumulation and Net Change
Areas in the Plane
Volumes
Lengths of Curves
Applications from Science and Statistics
Sequences, L’Hospital’s Rule, and Improper Integrals
Sequences
L’Hospital’s Rule
Relative Rates of Growth
Improper Integrals
Infinite Series
Power Series
Taylor Series
Taylor’s Theorem
Radius of Convergence
Testing Convergence at Endpoints
Parametric, Vector, and Polar Functions
Parametric Functions
Vectors in the Plane
Polar Functions
Appendices
Glossary
Selected Answers
Applications Index
Subject Index
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Tags: Ross L Finney, Franklin Demana, Bert K Waits, Daniel Kennedy, Calculus, Graphical
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