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Calculus early transcendentals
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Catalogue Record 15726
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10035698
QA303.2.A58 2022
Engineering
GUtech Library
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QA303.2.A58 2022
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ISBN
9781119820482
Language
Eng
Shelf Location
QA303.2.A58 2022
Author
Anton, Howard
Title
Calculus early transcendentals
12th ed.
Publisher
Hoboken : John Wiley & Sons, Inc., , 2022
Description
1158 p : ill. (some col) ; 27 cm
Specific Type of Material
Book
Contents
Limits and Continuity 1.1 Limits (An Intuitive Approach) 1.2 Computing Limits 1.3 Limits at Infinity; End Behavior of a Function 1.4 Limits (Discussed More Rigorously) 1.5 Continuity 1.6 Trigonometric Functions 1.7 Inverse Trigonometric Functions 1.8 Exponential and Logarithmic Functions CHAPTER 2 The Derivative 2.1 Tangent Lines and Rates of Change 2.2 The Derivative Function 2.3 Introduction to Techniques of Differentiation 2.4 The Product and Quotient Rules 2.5 Derivatives of Trigonometric Functions 2.6 The Chain Rule CHAPTER 3 Differentiation 3.1 Implicit Differentiation 3.2 Derivatives of Logarithmic Functions 3.3 Derivatives of Exponential and Inverse Trigonometric Functions 3.4 Related Rates 3.5 Local Linear Approximation; Differentials 3.6 L'Hopital's Rule; Indeterminate Forms CHAPTER 4 The Derivative in Graphing and Applications 4.1 Analysis of Functions I: Increase, Decrease, and Concavity 4.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 4.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 4.4 Absolute Maxima and Minima 4.5 Applied Maximum and Minimum Problems 4.6 Rectilinear Motion 4.7 Newton's Method 4.8 Rolle's Theorem; Mean-Value Theorem CHAPTER 5 Integration 5.1 An Overview of Area and Speed-Distance Problems 5.2 The Indefinite Integral 5.3 Integration by Substitution 5.4 The Definition of Area as a Limit; Sigma Notation 5.5 The Definite Integral 5.6 The Fundamental Theorem of Calculus 5.7 Rectilinear Motion Revisited Using Integration 5.8 Average Value of a Function and its Applications 5.9 Evaluating Definite Integrals by Substitution 5.10 Logarithmic and Other Functions Defined by Integrals CHAPTER 6 Applications of the Definite Integral 6.1 Area Between Two Curves 6.2 Volumes by Slicing; Disks and Washers 6.3 Volumes by Cylindrical Shells 6.4 Length of a Plane Curve 6.5 Area of a Surface of Revolution 6.6 Work 6.7 Moments, Centers of Gravity, and Centroids 6.8 Fluid Pressure and Force 6.9 Hyperbolic Functions and Hanging Cables CHAPTER 7 Principles of Integral Evaluation 7.1 An Overview of Integration Methods 7.2 Integration by Parts 7.3 Integrating Trigonometric Functions 7.4 Trigonometric Substitutions 7.5 Integrating Rational Functions by Partial Fractions 7.6Using Computer Algebra Systems and Tables of Integrals 7.7 Numerical Integration; Simpson's Rule 7.8 Improper Integrals CHAPTER 8 Mathematical Modeling with Differential Equations 8.1 Modeling with Differential Equations 8.2 Separation of Variables 8.3 Slope Fields; Euler's Method 8.4 First-Order Differential Equations and Applications 8.5 Prey-Predator Model CHAPTER 9 Parametric and Polar Curves; Conic Sections 9.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 9.2 Polar Coordinates 9.3 Tangent Lines, Arc Length, and Area for Polar Curves 9.4 Conic Sections 9.5 Rotation of Axes; Second-Degree Equations 9.6 Conic Sections in Polar Coordinates CHAPTER 10 Sequence and Infinite Series 10.1 Sequences 10.2 Monotone Sequences 10.3 Infinite Series 10.4 Convergence Tests 10.5 The Comparison, Ratio, and Root Tests 10.6 Alternating Series; Absolute and Conditional Convergence 10.7 Maclaurin and Taylor Polynomials 10.8 Maclaurin and Taylor Series; Power Series 10.9 Convergence of Taylor Series 10.10 Differentiating and Integrating Power Series; Modeling with Taylor Series CHAPTER 11 Three-dimensional Space; Vectors 11.1 Rectangular Coordinates in 3-space; Spheres; Cylindrical Surfaces 11.2 Vectors 11.3 Dot Product; Projections 11.4 Cross Product 11.5 Parametric Equations of Lines 11.6 Planes in 3-space 11.7 Quadric Surfaces 11.8 Cylindrical and Spherical Coordinates CHAPTER 12 Vector-Valued Functions 12.1 Introduction to Vector-Valued Functions 12.2 Calculus of Vector-Valued Functions 12.3 Change of Parameter; Arc Length 12.4 Unit Tangent, Normal, and Binormal Vectors 12.5 Curvature 12.6 Motion Along a Curve 12.7 Kepler's Laws of Planetary Motion CHAPTER 13 Partial Derivatives 13.1 Functions of Two or More Variables 13.2 Limits and Continuity 13.3 Partial Derivatives 13.4 Differentiability, Differentials, and Local Linearity 13.5 The Chain Rule 13.6 Directional Derivatives and Gradients 13.7 Tangent Planes and Normal Vectors 13.8 Maxima and Minima of Functions of Two Variables 13.9 Lagrange Multipliers CHAPTER 14 Multiple Integrals 14.1 Double Integrals 14.2 Double Integrals Over Nonrectangular Regions 14.3 Double Integrals in Polar Coordinates 14.4 Surface Area; Parametric Surfaces 14.5 Triple Integrals 14.6 Triple Integrals in Cylindrical and Spherical Coordinates 14.7 Change of Variables in Multiple Integrals; Jacobians 14.8Centers of Gravity Using Multiple Integrals CHAPTER 15 Vector Calculus 15.1 Vector Fields 15.2 Line Integrals 15.3 Independence of Path; Conservative Vector Fields 15.4 Green's Theorem 15.5 Surface Integrals 15.6 Applications of Surface Integrals; Flux 15.7 The Divergence Theorem 15.8 Stokes' Theorem APPENDICES A TRIGONOMETRY SUMMARY B FUNCTIONS (SUMMARY) C NEW FUNCTIONS FROM OLD (SUMMARY) D FAMILIES OF FUNCTIONS (SUMMARY) E Inverse Functions (Summary READY REFERENCE RR-1 ANSWERS TO ODD-NUMBERED EXERCISES Ans-1 INDEX Ind-1 WEB APPENDICES (online only) Available for download at www.wiley.com. A TRIGONOMETRY REVIEW B FUNCTIONS C NEW FUNCTIONS FROM OLD D FAMILIES OF FUNCTIONS E INVERSE FUNCTIONS F REAL NUMBERS, INTERVALS, AND INEQUALITIES G ABSOLUTE VALUE H COORDINATE PLANES, LINES, AND LINEAR FUNCTIONS I DISTANCE, CIRCLES, AND QUADRATIC EQUATIONS J SOLVING POLYNOMIAL EQUATIONS K GRAPHING FUNCTIONS USING CALCULATORS AND COMPUTER ALGEBRA SYSTEMS L SELECTED PROOFS M EARLY PARAMETRIC EQUATIONS OPTION N MATHEMATICAL MODELS O THE DISCRIMINANT P SECOND-ORDER LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONS Chapter Web Projects: Expanding the Calculus Horizon (online only) Available for download at www.wiley.com. Robotics - Chapter 2 Railroad Design - Chapter 7 Iteration and Dynamical Systems - Chapter 9 Comet Collision - Chapter 10 Blammo the Human Cannonball - Chapter 12 Hurricane Modeling - Chapter 15
Subject
Calculus
Other name(s)
Bivens, Irl C
Davis, Stephen
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Davis, Stephen
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