Calculus: An Applied Approach / Edition 5by Ron Larson, Bruce H. Edwards
Pub. Date: 08/01/1998
Publisher: Houghton Mifflin Company College Division
Designed specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, Ninth Edition, 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. Applied problems drawn from government sources,… See more details below
Designed specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, Ninth Edition, 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. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to students' diverse interests. The Ninth Edition builds upon its applications emphasis through updated exercises and relevant examples. Pedagogical featuresfrom algebra review to study tipsprovide extra guidance and practice.
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Table of Contents
1. FUNCTIONS, GRAPHS, AND LIMITS. The Cartesian Plane and the Distance Formula. Graphs of Equations. Lines in the Plane and Slope. Functions. Limits. Continuity. 2. DIFFERENTIATION. The Derivative and the Slope of a Graph. Some Rules for Differentiation. Rates of Change: Velocity and Marginals. The Product and Quotient Rules. The Chain Rule. Higher-Order Derivatives. Implicit Differentiation. Related Rates. 3. APPLICATIONS OF THE DERIVATIVE. Increasing and Decreasing Functions. Extrema and the First-Derivative Test. Concavity and the Second-Derivative Test. Optimization Problems. Business and Economics Applications. Asymptotes. Curve Sketching: A Summary. Differentials and Marginal Analysis. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Natural Exponential Functions. Derivatives of Exponential Functions. Logarithmic Functions. Derivatives of Logarithmic Functions. Exponential Growth and Decay. 5. INTEGRATION AND ITS APPLICATIONS. Antiderivatives and Indefinite Integrals. Integration by Substitution and the General Power Rule. Exponential and Logarithmic Integrals. Area and the Fundamental Theorem of Calculus. The Area of a Region Bounded by Two Graphs. The Definite Integral as the Limit of a Sum. 6. TECHNIQUES OF INTEGRATION. Integration by Parts and Present Value. Integration Tables. Numerical Integration. Improper Integrals. 7. FUNCTIONS OF SEVERAL VARIABLES. The Three-Dimensional Coordinate System. Surfaces in Space. Functions of Several Variables. Partial Derivatives. Extrema of Functions of Two Variables. Lagrange Multipliers. Least Squares Regression Analysis. Double Integrals and Area in the Plane. Applications of Double Integrals. 8. TRIGONOMETRIC FUNCTIONS. Radian Measure of Angles. The Trigonometric Functions. Graphs of Trigonometric Functions. Derivatives of Trigonometric Functions. Integrals of Trigonometric Functions. 9. PROBABILITY AND CALCULUS. Discrete Probability. Continuous Random Variables. Expected Value and Variance. 10. SERIES AND TAYLOR POLYNOMIALS. Sequences. Series and Convergence. p-Series and the Ratio Test. Power Series and Taylor's Theorem. Taylor Polynomials. Newton's Method. 11. DIFFERENTIAL EQUATIONS. Solutions of Differential Equations. Separation of Variables. First-Order Linear Differential Equations. Applications of Differential Equations. Appendix A. Precalculus Review. The Real Number Line and Order. Absolute Value and Distance on the Real Number Line. Exponents and Radicals. Factoring Polynomials. Fractions and Rationalization. Appendix B. Alternative Introduction to the Fundamental Theorem of Calculus. Appendix C. Formulas.
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