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Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better...
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Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better understanding of difficult concepts. In addition to MyMathLab®, a complete online course solution, a comprehensive series of video lectures is available for this text. Algebra Reference (shared with FM, CWA, and Combo):Polynomials, Factoring,Rational Expressions,Equations,Inequalities,Exponents,Radicals;Linear Functions (shared with FM, CWA, and Combo):Slopes and Equations of Lines,Linear Functions and Applications,The Least Squares Line,Chapter Review, Extended Application: Using Extrapolation to Predict Life Expectancy;Nonlinear Functions:Properties of Functions,Quadratic Functions; Translation and Reflection,Polynomial and Rational Functions,Exponential Functions,Logarithmic Functions,Applications: Growth and Decay; Mathematics of Finance, Chapter Review, Extended Application: Characteristics of the Monkeyface Prickleback;The Derivative:Limits,Continuity,Rates of Change,Definition of the Derivative,Graphical Differentiation, Chapter Review, Extended Application: A Model for Drugs Administered Intravenously (new);Calculating the Derivative:Techniques for Finding Derivatives,Derivatives of Products and Quotients,The Chain Rule,Derivatives of Exponential Functions,Derivatives of Logarithmic Functions,Chapter Review, Extended Application: Electric Potential and Electric Field (new);Graphs and the Derivative:Increasing and Decreasing Functions,Relative Extrema,Higher Derivatives, Concavity, and the Second Derivative Test,Curve Sketching, Chapter Review, Extended Application: A Drug Concentration Model for Orally Administered Medications (new);Applications of the Derivative:Absolute Extrema,Applications of Extrema,Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand,Implicit Differentiation,Related Rates,Differentials: Linear Approximation, Chapter Review, Extended Application: A Total Cost Model for a Training Program;Integration:Antiderivatives,Substitution,Area and the Definite Integral,The Fundamental Theorem of Calculus, The Area Between Two Curves,Numerical Integration, Chapter Review, Extended Application: Estimating Depletion Dates for Minerals; Further Techniques and Applications of Integration:Integration by Parts,Volume and Average Value,Continuous Money Flow,Improper Integrals, Chapter Review, Extended Application: Estimating Learning Curves in Manufacturing withIntegrals;Multivariable Calculus:Functions of Several Variables,Partial Derivatives,Maxima and Minima,Lagrange Multipliers,Total Differentials and Approximations,Double Integrals, Chapter Review, Extended Application: Using Multivariable Fitting to Create a Response Surface Design;Differential Equations:Solutions of Elementary and Separable Differential Equations,Linear First-Order Differential Equations,Euler's Method,Applications of Differential Equations, Chapter Review, Extended Application: Pollution of the Great Lakes;Probability and Calculus:Continuous Probability Models,Expected Value and Variance of Continuous Random Variables,Special Probability Density Functions, Chapter Review, Extended Application: Exponential Waiting Times;Sequences and Series (From Ray 1/19/07):Geometric Sequences,Annuities: An Application of Sequences.Taylor Polynomials,Infinite Series,Taylor Series,Newton's Method,L'Hospital's Rule, Chapter Review;The Trigonometric Functions:Definitions of the Trigonometric Functions,Derivatives of Trigonometric Functions,Integrals of Trigonometric Functions, Chapter Review, Extended Application: The Shortest Time and the Cheapest Path;Tables: Formulas of Geometry,Area Under a Normal Curve, Integrals,Integrals Involving Trigonometric Functions For all readers interested in calculus with applications.
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