Calculus of a Single Variable Early Transcendental Functions

Name: Calculus of a Single Variable Early Transcendental Functions
Price: 12.0 USD
Availability: InStock
ISBN: 9780618606252

ISBN-10: 0618606254

ISBN-13: 9780618606252

Edition: 4th 2007

Authors: Bruce H. Edwards, Ron Larson, Robert P. Hostetler

List price: $321.95

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Description:

Designed for the first two semesters of a three-semester engineering calculus course, "Calculus of a Single Variable: Early Transcendental Functions," 4/e, continues to offer instructors and students innovative teaching and learning resources. Two primary objectives guided the authors in the revision of this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Hostetler/Edwards "Calculus" program offers a solution to address the needs of any calculus course and any level of calculus… student. "Calculus of a Single Variable: Early Transcendental Functions," 4/e, contains Chapters 1-10 of the full "Calculus: Early Transcendental Functions," 4/e, text. Every edition from the first to the fourth of Calculus: Early Transcendental Function, 4/e, has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Fourth Edition is part of the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy.Exercise sets have been carefully examined and revised to ensure they cover all calculus topics appropriately. Many new exercises have been added.A variety of exercise types are included in each exercise set. Questions involving skills, writing, critical thinking, problem-solving, applications, and real-data applications are included throughout the text. Exercises are presented in a variety ofquestion formats, including matching, free response, true/false, modeling, and fill-in the blank."Putnam Exam Questions"--taken from the William Lowell Putnam Mathematical Competition--offer challenging problems that often require students to look for creative solutions; "Graphical Analysis" exercises offer the opportunity to analyze graphs; "Think About It" exercises require students to use critical reasoning skills to explore the intricacies of calculus.Explanations, theorems, and definitions in the text have been thoroughly reviewed to ensure the text is mathematically precise and easily comprehensible."Clear, multi-step examples with worked-out solutions" help students learn difficult mathematical concepts. Examples correspond to the exercises, serving as a supportive reference for students. This is the only text on the market where "every example, proof, and explanation begins and ends on the same page.""Explorations" help students develop their intuitive understanding of calculus concepts. These optional activities are short enough to integrate into class, but they can also be omitted without loss of continuity."Theorem boxes" clearly explain important mathematical concepts.The "Integrated Learning System" resources are available in print, CD-ROM, and online formats."Eduspace, powered by Blackboard," Houghton Mifflin's online learning tool, offers your students quality online homework, tutorials, multimedia, and testing that correspond to the "Calculus: Early Transcendental Functions" text. This content is paired with the course management tools of Blackboard. In addition, "eSolutions," the complete solutions to the odd-numbered text exercises, provides students with aconvenient and comprehensive way to do homework and view the course materials.SMARTHINKING online tutoring brings students real-time, online tutorial support when they need it most.

Book details

List price: $321.95
Edition: 4th
Copyright year: 2007
Publisher: CENGAGE Learning
Publication date: 1/3/2006
Binding: Hardcover
Pages: 928
Size: 8.50" wide x 10.50" long x 1.50" tall
Weight: 4.576
Language: English

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.



Note: Each chapter concludes with Review Exercises and P.S. Problem Solving



Preparation for Calculus



Graphs and Models



Linear Models and Rates of Change



Functions and Their Graphs



Fitting Models to Data



Inverse Functions



Exponential and Logarithmic Functions



Limits and Their Properties



A Preview of Calculus



Finding Limits Graphically and Numerically



Evaluating Limits Analytically



Continuity and OneSided Limits



Infinite Limits


Section Project: Graphs and Limits of Trigonometric Functions



Differentiation



The Derivative and the Tangent Line Problem



Basic Differentiation Rules and Rates of Change



The Product and Quotient Rules and HigherOrder Derivatives



The Chain Rule



Implicit Differentiation


Section Project: Optical Illusions



Derivatives of Inverse Functions



Related Rates



Newton's Method



Applications of Differentiation



Extrema on an Interval



Rolle's Theorem and the Mean Value Theorem



Increasing and Decreasing Functions and the First Derivative Test


Section Project: Rainbows



Concavity and the Second Derivative Test



Limits at Infinity



A Summary of Curve Sketching



Optimization Problems


Section Project: Connecticut River



Differentials



Integration



Antiderivatives and Indefinite Integration



Area



Riemann Sums and Definite Integrals



The Fundamental Theorem of Calculus


Section Project: Demonstrating the Fundamental Theorem



Integration by Substitution



Numerical Integration



The Natural Logarithmic Function: Integration



Inverse Trigonometric Functions: Integration



Hyperbolic Functions


Section Project: St. Louis Arch



Differential Equations



Slope Fields and Euler's Method



Differential Equations: Growth and Decay



Differential Equations: Separation of Variables



The Logistic Equation



FirstOrder Linear Differential Equations


Section Project: Weight Loss



PredatorPrey Differential Equations



Applications of Integration



Area of a Region Between Two Curves



Volume: The Disk Method



Volume: The Shell Method


Section Project: Saturn



Arc Length and Surfaces of Revolution



Work


Section Project: Tidal Energy



Moments, Centers of Mass, and Centroids



Fluid Pressure and Fluid Force



Integration Techniques, L'Hopital's Rule, and Improper Integrals



Basic Integration Rules



Integration by Parts



Trigonometric Integrals


Section Project: Power Lines



Trigonometric Substitution



Partial Fractions



Integration by Tables and Other Integration Techniques



Indeterminate Forms and L'Hopital's Rule



Improper Integrals



Infinite Series



Sequences



Series and Convergence


Section Project: Cantor's Disappearing Table



The Integral Test andpSeries


Section Project: The Harmonic Series



Comparisons of Series


Section Project: Solera Method



Alternating Series



The Ratio and Root Tests



Taylor Polynomials and Approximations



Power Series



Representation of Functions by Power Series



Taylor and Maclaurin Series



Conics, Parametric Equations, and Polar Coordinates



Conics and Calculus



Plane Curves and Parametric Equations


Section Project: Cycloids



Parametric Equations and Calculus



Polar Coordinates and Polar Graphs


Section Project: Anamorphic Art



Area and Arc Length in Polar Coordinates



Polar Equations of Conics and Kepler's Laws


Appendices


Appendix