Calculus: An Applied Approach / Edition 8

Calculus: An Applied Approach / Edition 8

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by Ron Larson
     
 


Designed specifically for business, economics, or life/social sciences majors, Calculus: An Applied Approach, 8/e, motivates students while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Several pedagogical features--from algebra review to study… See more details below

Overview


Designed specifically for business, economics, or life/social sciences majors, Calculus: An Applied Approach, 8/e, motivates students while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Several pedagogical features--from algebra review to study tips--provide extra guidance and practice. The Eighth Edition builds upon its applications emphasis through updated exercises and relevant examples. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to diverse interests. In addition, the Calculus program offers a strong support package--including MathSPACE Instructor/Student websites and course management tools, instructional DVDs, and solutions manuals--that allows students to review the material independently and retain key concepts.

Product Details

ISBN-13:
9780618958252
Publisher:
Cengage Learning
Publication date:
12/07/2007
Edition description:
Older Edition
Pages:
928
Product dimensions:
7.90(w) x 10.10(h) x 1.50(d)

Table of Contents


Note: Chapters 1-10 include a Mid-Chapter Review and conclude with an Algebra Review, Chapter Summary and Study Strategies, Review Exercises, and a Chapter Test. 0. A Precalculus Review 0.1 The Real Number Line and Order 0.2 Absolute Value and Distance on the Real Number 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 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 and Substitution 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 6. Techniques of Integration 6.1 Integration by Parts and Present Value 6.2 Partial Fractions and Logistic Growth 6.3 Integration Tables 6.4 Numerical Integration 6.5 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 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 Appendix A. Alternate Introduction to the Fundamental Theorem of Calculus Appendix B. Formulas B.1 Differentiation and Integration Formulas B.2 Formulas from Business and Finance Appendix 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 Appendix D. Properties and Measurement (web only) D.1 Review of Algebra, Geometry, and Trigonometry D.2 Units of Measurements Appendix E. Graphing Utility Programs (web only) E.1 Graphing Utility Programs

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