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Designed for the three-semester engineering calculus sequence, Calculus: Early Transcendental Functions offers fully integrated coverage of exponential, logarithmic, and trigonometric functions throughout the first semester, within the hallmark balanced approach of the Larson team. A rich variety of applications encountered earlier in the course prepares students for concurrent physics, chemistry, and engineering courses. This edition features nearly 10,000 diverse and flexible exercises, carefully graded in sets progressing from skill-development problems to more rigorous application and proof problems. Eduspace is Houghton Mifflin's online learning tool. Powered by Blackboard, Eduspace is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content. The Larson/Hostetler/Edwards Calculus: Early Transcendental Functions course features even-numbered questions from the book and test bank content in question pools.

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List price: $178.36 Edition: 3rd Copyright year: 2003 Publisher: CENGAGE Learning Pages: 1091 Size: 8.25" wide x 10.50" long x 1.75" tall Weight: 6.248 Language: English

AuthorTable of Contents

Bruce Edwards has been a mathematics professor at the University of Florida since 1976. Dr. Edwards majored in mathematics at Stanford University, graduating in 1968. He then joined the Peace Corps and spent four years teaching math in Colombia, South America. He returned to the United States and Dartmouth in 1972, and he received his PhD. in mathematics in 1976. Dr. Edwards' research interests include the area of numerical analysis, with a particular interest in the so-called CORDIC algorithms used by computers and graphing calculators to compute function values. His hobbies include jogging, reading, chess, simulation baseball games, and travel.

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

Contents Note: Each chapter concludes with Review Exercises and P.S. Problem Solving. P. Preparation for Calculus Eruptions of Old Faithful P.1 Graphs and Models P.2 Linear Models and Rates of Changes P.3 Functions and Their Graphs P.4 Fitting Models to Data P.5 Inverse Functions P.6 Exponential and Logarithmic Functions 1. Limits and Their Properties Swimming Speed: Taking It to the Limit 1.1 A Preview of Calculus 1.2 Finding Limits Graphically and Numerically 1.3 Evaluating Limits Analytically 1.4 Continuity and One-Sided Limits 1.5 Infinite Limits Section Project: Graphs and Limits of Trigonometric Functions 2. Differentiation Gravity: Finding It Experimentally 2.1 The Derivative and the Tangent Line Problem 2.2 Basic Differentiation Rules and Rates of Change 2.3 The Product and Quotient Rules and Higher-Order Derivatives 2.4 The Chain Rule 2.5 Implicit Differentiation Section Project: Optical Illusions 2.6 Derivatives of Inverse Functions 2.7 Related Rates 2.8 Newton's Method 3. Applications of Differentiation Packaging: The Optimal Form 3.1 Extrema on an Interval 3.2 Rolle's Theorem and the Mean Value Theorem 3.3 Increasing and Decreasing Functions and the First Derivative Test Section Project: Rainbows 3.4 Concavity and the Second Derivative Test 3.5 Limits at Infinity 3.6 A Summary of Curve Sketching 3.7 Optimization Problems Section Project: Connecticut River 3.8 Differentials 4. Integration The Wankel Rotary Engine and Area 4.1 Antiderivatives and Indefinite Integration 4.2 Area 4.3 Riemann Sums and Definite Integrals 4.4 The Fundamental Theorem of Calculus Section Project: Demonstrating the Fundamental Theorem 4.5 Integration by Substitution 4.6 Numerical Integration 4.7 The Natural Logarithmic Function: Integration 4.8 Inverse Trigonometric Functions: Integration 4.9 Hyperbolic Functions Section Project: St. Louis Arch 5. Differential Equations Plastics and Cooling 5.1 Differential Equations: Growth and Decay 5.2 Differential Equations: Separation of Variables 5.3 First-Order Linear Differential Equations Section Project: Weight Loss 6. Applications of Integration Constructing an Arch Dam 6.1 Area of a Region Between Two Curves 6.2 Volume: The Disk Method 6.3 Volume: The Shell Method Section Project: Saturn 6.4 Arc Length and Surfaces of Revolution 6.5 Work Section Project: Tidal Energy 6.6 Moments, Centers of Mass, and Centroids 6.7 Fluid Pressure and Fluid Force 7. Integration Techniques, L'Hocirc;pital's Rule, and Improper Integrals Making a Mercator Map 7.1 Basic Integration Rules 7.2 Integration by Parts 7.3 Trigonometric Integrals Section Project: Power Lines 7.4 Trigonometric Substitution 7.5 Partial Fractions 7.6 Integration by Tables and Other Integration Techniques 7.7 Indeterminate Forms and L'Hocirc;pital's Rule 7.8 Improper Integrals 8. Infinite Series The Koch Snowflake: Infinite Perimeter? 8.1 Sequences 8.2 Series and Convergence Section Project: Cantor's Disappearing Table 8.3 The Integral Test and p-Series Section Project: The Harmonic Series 8.4 Comparisons of Series Section Project: Solera Method 8.5 Alternating Series 8.6 The Ratio and Root Tests 8.7 Taylor Polynomials and Approximations 8.8 Power Series 8.9 Representation of Functions by Power Series 8.10 Taylor and Maclaurin Series 9. Conics, Parametric Equations, and Polar Coordinates Exploring New Planets 9.1 Conics and Calculus 9.2 Plane Curves and Parametric Equations Section Project: Cycloids 9.3 Parametric Equations and Calculus 9.4 Polar Coordinates and Polar Graphs Section Project: Anamorphic Art 9.5 Area and Arc Length in Polar Coordinates 9.6 Polar Equations of Conics and Kepler's Laws 10. Vectors and the Geometry of Space Suspension Bridges 10.1 Vectors in the Plane 10.2 Space Coordinates and Vectors in Space 10.3 The Dot Product of Two Vectors 10.4 The Cross Product of Two Vectors in Space 10.5 Lines and Planes in Space Section Project: Distances in Space 10.6 Surfaces in Space 10.7 Cylindrical and Spherical Coordinates 11. Vector-Valued Functions Race Car Cornering 11.1 Vector-Valued Functions Section Project: Witch of Agnesi 11.2 Differentiation and Integration of Vector-Valued Functions 11.3 Velocity and Acceleration 11.4 Tangent Vectors and Normal Vectors 11.5 Arc Length and Curvature 12. Functions of Several Variables Satellite Receiving Dish 12.1 Introduction to Functions of Several Variables 12.2 Limits and Continuity 12.3 Partial Derivatives Section Project: Moireacute; Fringes 12.4 Differentials 12.5 Chain Rules for Functions of Several Variables 12.6 Directional Derivatives and Gradients 12.7 Tangent Planes and Normal Lines Section Project: Wildflowers 12.8 Extrema of Functions of Two Variables 12.9 Applications of Extrema of Functions of Two Variables Section Project: Building a Pipeline 12.10 Lagrange Multipliers 13. Multiple Integration Hyperthermia Treatments for Tumors 13.1 Iterated Integrals and Area in the Plane 13.2 Double Integrals and Volume 13.3 Change of Variables: Polar Coordinates 13.4 Center of Mass and Moments of Inertia Section Project: Center of Pressure on a Sail 13.5 Surface Area Section Project: Capillary Action 13.6 Triple Integrals and Applications 13.7 Triple Integrals in Cylindrical and Spherical Coordinates Section Project: Wrinkled and Bumpy Spheres 13.8 Change of Variables: Jacobians 14. Vector Analysis Mathematical Sculpture 14.1 Vector Fields 14.2 Line Integrals 14.3 Conservative Vector Fields and Independence of Path 14.4 Green's Theorem Section Project: Hyperbolic and Trigonometric Functions 14.5 Parametric Surfaces 14.6 Surface Integrals Section Project: Hyperboloid of One Sheet 14.7 Divergence Theorem 14.8 Stoke's Theorem Section Project: The Planimeter Appendices A. Business and Economic Applications B. Proofs of Selected Theorems C. Integration Tables D. Precalculus Review E. Rotation and the General Second-Degree Equation F. Complex Numbers

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