ISBN-10:
0133688399
ISBN-13:
9780133688399
Pub. Date:
06/01/2009
Publisher:
Pearson
Calculus: Graphical, Numerical, Algebraic / Edition 3

Calculus: Graphical, Numerical, Algebraic / Edition 3

by PRENTICE HALL
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Overview

The main goal of this third edition is to realign with the changes in the Advanced Placement (AP®) calculus syllabus and the new type of AP® exam questions. To do this, the follow updates are included the Media Update:


  • More robust online course offered in MathXL for School, (available for purchase separately) which provides powerful online homework, assessments, and tutorials aligned to the textbook.
  • Carefully aligned examples and exercises
  • Updated the data used in examples and exercises
  • Cumulative Quick Quizzes are now provided two or three times in each chapter

Product Details

ISBN-13: 9780133688399
Publisher: Pearson
Publication date: 06/01/2009
Edition description: New Edition
Pages: 696
Sales rank: 1,253,205
Product dimensions: 8.50(w) x 10.10(h) x 1.10(d)
Age Range: 14 - 17 Years

Table of Contents

Prerequisites for Calculus
1(105)
Coordinates and Graphs in the Plane
1(10)
Slope, and Equations for Lines
11(13)
Relations, Functions, and Their Graphs
24(19)
Geometric Transformations: Shifts, Reflections, Stretches, and Shrinks
43(11)
Solving Equations and Inequalities Graphically
54(13)
Relations, Functions and Their Inverses
67(14)
A Review of Trigonometric Functions
81(24)
Review Questions
101(1)
Practice Exercises
102(3)
Limits and Continuity
105(62)
Limits
105(11)
Continuous Functions
116(11)
The Sandwich Theorem and (sin θ)/θ
127(4)
Limits Involving Infinity
131(13)
Controlling Function Outputs: Target Values
144(7)
Defining Limits Formally with Epsilons and Deltas
151(16)
Review Questions
163(1)
Practice Exercises
163(4)
Derivatives
167(92)
Slopes, Tangent Lines, and Derivatives
167(12)
Numerical Derivatives
179(6)
Differentiation Rules
185(13)
Velocity, Speed, and Other Rates of Change
198(16)
Derivatives of Trigonometric functions
214(6)
The Chain Rule
220(8)
Implicit Differentiation and Fractional Powers
228(11)
Linear Approximations and Differentials
239(20)
Review Questions
252(1)
Practice Exercises
253(6)
Applications for Derivatives
259(88)
Maxima, Minima, and the Mean Value Theorem
259(13)
Predicting Hidden Behavior
272(12)
Polynomial Functions, Newton's Method, and Optimization
284(13)
Rational Functions and Economics Applications
297(10)
Radical and Transcendental Functions
307(9)
Related Rates of Change
316(12)
Antiderivatives, Initial Value Problems, and Mathematical Modeling
328(19)
Review Questions
342(1)
Practice Exercises
342(5)
Integration
347(86)
Calculus and Area
347(14)
Definite Integrals
361(12)
Definite Integrals and Antiderivatives
373(7)
The Fundamental Theorem of Calculus
380(14)
Indefinite Integrals
394(11)
Integration by Substitution - Running the Chain Rule Backward
405(9)
Numerical Integration: The Trapezoidal Rule and Simpson's Method
414(19)
Review Questions
428(1)
Practice Exercises
428(5)
Applications of Definite Integrals
433(86)
Areas Between Curves
433(9)
Volumes of Solids of Revolution-Disks and Washers
442(14)
Cylindrical Shells - An Alternative to Washers
456(10)
Lengths of Curves in the Plane
466(7)
Areas of Surfaces of Revolution
473(7)
Work
480(8)
Fluid Pressures and Fluid Forces
488(6)
Centers of Mass
494(11)
The Basic Idea: Other Modeling Applications
505(14)
Review Questions
515(1)
Practice Exercises
516(3)
The Calculus of Transcendental Functions
519(94)
The Natural Logarithm Function
519(10)
The Exponential Function
529(18)
Other Exponential and Logarithmic Functions
547(11)
The Law of Exponential change Revisited
558(8)
Indeterminate Forms and L'Hopital's Rule
566(8)
The Rates at Which Functions Grow
574(7)
The Inverse Trigonometric Functions
581(7)
Derivatives of Inverse Trigonometric Functions; Related Integrals
588(8)
Hyperbolic Functions
596(17)
Review Questions
606(1)
Practice Exercises
607(6)
Techniques of Integration
613(66)
Formulas for Elementary Integrals
614(6)
Integration by Parts
620(7)
Integrals Involving Trigonometric Functions
627(8)
Trigonometric Substitutions
635(7)
Rational Functions and Partial Fractions
642(6)
Improper Integrals
648(12)
Differential Equations
660(13)
Computer Algebra Systems(CAS)
673(6)
Review Questions
677(1)
Practice Exercises
677(2)
Infinite Series
679(88)
Limits of Sequences of Numbers
679(13)
Infinite Series
692(12)
Series without Negative Terms: Comparison and Integral Tests
704(10)
Series with Nonnegative Terms: Ratio and Root Tests
714(6)
Alternating Series and Absolute Convergence
720(10)
Power Series
730(13)
Taylor Series and Maclaurin Series
743(15)
Further Calculations with Taylor Series
758(9)
Review Questions
764(1)
Practice Exercises
765(2)
Plane Curves, Parametrizations, and Polar Coordinates
767(78)
Conic Sections and Quadratic Equations
767(16)
The Graphs of Quadratic Equations in x and y
783(9)
Parametric Equations for Plane Curves
792(9)
The Calculus of Parametric Equations
801(8)
Polar Coordinates
809(7)
Graphing in Polar Coordinates
816(9)
Polar Equations of Conic Sections
825(9)
Integration in Polar Coordinates
834(11)
Review Questions
841(1)
Practice Exercises
842(3)
Vectors and Analytic Geometry in Space
845(68)
Vectors in the Plane
845(10)
Cartesian (Rectangular) Coordinates and Vectors in Space
855(13)
Dot Products
868(8)
Cross Products
876(7)
Lines and Planes in Space
883(9)
Surfaces in Space
892(12)
Cylindrical and Spherical Coordinates
904(9)
Review Questions
909(1)
Practice Exercises
909(4)
Vector-valued Functions, Parametrizations and Motion in Space
913
Vector-valued Functions and Curves in Space; Derivatives and Integrals
913(11)
Modeling Projectile Motion
924(13)
Directed Distance and the Unit Tangent Vector T
937(6)
Curvature, Torsion and the TNB Frame
943(9)
Planetary Motion and Satellites
952
Review Questions
960(1)
Practice Exercises
961
Appendixes APP-1(1)
A.1 Formulas from Precalculus Mathematics
APP-1(1)
A.2 Proofs of the Limit Theorems in Chapter 2
APP-6(1)
A.3 A Proof of the Chain Rule for Functions of a Single Variable
APP-9(1)
A.4 Mathematical Induction
APP-10(1)
A.5 Limits That Arise Frequently
APP-13(1)
A.6 Complex Numbers
APP-15(1)
A.7 Determinants and Cramer's Rule
APP-16(1)
A.8 Lagrange Multipliers with Two Constraints
APP-24(1)
A.9 Path Independence of ∫ F. dr Implies That F = ∇ƒ
APP-26(1)
Glossary G-1(1)
Index of Explorations IE-1(1)
Answers A-1(1)
Index I-1(1)
Brief Table of Integrals T-1

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