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Calculus An Applied Approach

ISBN-10: 0618226796

ISBN-13: 9780618226795

Edition: 6th 2003

Authors: Ron Larson, Bruce H. Edwards

List price: $166.76
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Description:

Designed specifically for the non-math major who will be using calculus in business, economics, or life and social science courses, Calculus: An Applied Approach, 6/e, offers students added structure and guidance on how to study math. Special student-success-oriented sections include chapter-opening Strategies for Success; What You Should Learnand Why You Should Learn It; Section Objectives; Chapter Summaries and Study Strategies; Try Its; Study Tips; and Warm-Up exercises. In addition the text presents Algebra Tips at point of use and Algebra Review at the end of each chapter. Enhancing the already strong emphasis on practical applications, this text makes the course more relevant to students by including updated and increased coverage of technology at point of use and sample post-graduation exam questions. 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/Edwards Calculus course features algorithmic exercises and test bank content in question pools.
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Book details

List price: $166.76
Edition: 6th
Copyright year: 2003
Publisher: CENGAGE Learning
Pages: 715
Size: 8.00" wide x 10.00" long x 1.50" tall
Weight: 4.180
Language: English

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.

Contents Note: Chapters 1–10 conclude with an Algebra Review, a Chapter Summary and Study Strategies, Review Exercises, and Sample Post-Graduation Exam Questions. A Word from the Authors (Preface) Features A Plan for You as a Student (Study Strategies) 0. A Precalculus Review 0.1 The Real Line and Order 0.2 Absolute Value and Distance on the Real Line 0.3 Exponents and Radicals 0.4 Factoring Polynomials 0.5 Fractions and Rationalization 1. Functions, Graphs, and Limits 1.1 The Cartesian Plane and the Distance Formula 1.2 Graphs of Equations 1.3 Lines in the Plane and Slope 1.4 Functions 1.5 Limits 1.6 Continuity 2. Differentiation 2.1 The Derivative and the Slope of a Graph 2.2 Some Rules for Differentiation 2.3 Rates of Change: Velocity and Marginals 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Higher-Order Derivatives 2.7 Implicit Differentiation 2.8 Related Rates 3. Applications of the Derivative 3.1 Increasing and Decreasing Functions 3.2 Extrema and the First-Derivative Test 3.3 Concavity and the Second-Derivative Test 3.4 Optimization Problems 3.5 Business and Economics Applications 3.6 Asymptotes 3.7 Curve Sketching: A Summary 3.8 Differentials and Marginal Analysis 4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Natural Exponential Functions 4.3 Derivatives of Exponential Functions 4.4 Logarithmic Functions 4.5 Derivatives of Logarithmic Functions 4.6 Exponential Growth and Decay 5. Integration and Its Applications 5.1 Antiderivatives and Indefinite Integrals 5.2 The General Power Rule 5.3 Exponential and Logarithmic Integrals 5.4 Area and the Fundamental Theorem of Calculus 5.5 The Area of a Region Bounded by Two Graphs 5.6 The Definite Integral as the Limit of a Sum 5.7 Volumes of Solids of Revolution 6. Techniques of Integration 6.1 Integration by Substitution 6.2 Integration by Parts and Present Value 6.3 Partial Fractions and Logistic Growth 6.4 Integration Tables and Completing the Square 6.5 Numerical Integration 6.6 Improper Integrals 7. Functions of Several Variables 7.1 The Three-Dimensional Coordinate System 7.2 Surfaces in Space 7.3 Functions of Several Variables 7.4 Partial Derivatives 7.5 Extrema of Functions of Two Variables 7.6 Lagrange Multipliers 7.7 Least Squares Regression Analysis 7.8 Double Integrals and Area in the Plane 7.9 Applications of Double Integrals 8. Trigonometric Functions 8.1 Radian Measure of Angles 8.2 The Trigonometric Functions 8.3 Graphs of Trigonometric Functions 8.4 Derivatives of Trigonometric Functions 8.5 Integrals of Trigonometric Functions 8.6 L'Hocirc;pital's Rule 9. Probability and Calculus 9.1 Discrete Probability 9.2 Continuous Random Variables 9.3 Expected Value and Variance 10. Series and Taylor Polynomials 10.1 Sequences 10.2 Series and Convergence 10.3 p-Series and the Ratio Test 10.4 Power Series and Taylor's Theorem 10.5 Taylor Polynomials 10.6 Newton's Method Appendices A. Alternate Introduction to the Fundamental Theorem of Calculus B. Formulas C. Differential Equations: C.1 Solutions of Differential Equations. C.2 Separation of Variables. C.3 First-Order Linear Differential Equations. C.4 Applications of Differential Equations D. Properties and Measurement E. Graphing Utility Programs