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R. Algebra Reference R-1 Polynomials R-2 Factoring R-3 Rational Expressions R-4 Equations R-5 Inequalities R-6 Exponents R-7 Radicals 1. Linear Functions 1-1 Slopes and Equations of Lines 1-2 Linear Functions and Applications 1-3 The Least Squares Line Chapter Review Extended Application: Using Extrapolation to Predict Life Expectancy 2. Nonlinear Functions 2-1 Properties of Functions 2-2 Quadratic Functions; Translation and Reflection 2-3 Polynomial and Rational Functions 2-4 Exponential Functions 2-5 Logarithmic Functions 2-6 Applications: Growth and Decay; Mathematics of Finance Chapter Review Extended Application: Characteristics of the Monkeyface Prickleback 3. The Derivative 3-1 Limits 3-2 Continuity 3-3 Rates of Change 3-4 Definition of the Derivative 3-5 Graphical Differentiation Chapter Review Extended Application: A Model for Drugs Administered Intravenously 4. Calculating the Derivative 4-1 Techniques for Finding Derivatives 4-2 Derivatives of Products and Quotients 4-3 The Chain Rule 4-4 Derivatives of Exponential Functions 4-5 Derivatives of Logarithmic Functions Chapter Review Extended Application: Electric Potential and Electric Field (new) 5. Graphs and the Derivative 5-1 Increasing and Decreasing Functions 5-2 Relative Extrema 5-3 Higher Derivatives, Concavity, and the Second Derivative Test 5-4 Curve Sketching Chapter Review Extended Application: A Drug Concentration Model for Orally Administered Medications (new) 6. Applications of the Derivative 6-1 Absolute Extrema 6-2 Applications of Extrema 6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand 6-4 Implicit Differentiation 6-5 Related Rates 6-6 Differentials: Linear Approximation Chapter Review Extended Application: A Total Cost Model for a Training Program 7. Integration 7-1 Antiderivatives 7-2 Substitution 7-3 Area and the Definite Integral 7-4 The Fundamental Theorem of Calculus 7-5 The Area Between Two Curves 7-6 Numerical Integration Chapter Review Extended Application: Estimating Depletion Dates for Minerals 8. Further Techniques and Applications of Integration 8-1 Integration by Parts 8-2 Volume and Average Value 8-3 Continuous Money Flow 8-4 Improper Integrals Chapter Review Extended Application: Estimating Learning Curves in Manufacturing with Integrals 9. Multivariable Calculus 9-1 Functions of Several Variables 9-2 Partial Derivatives 9-3 Maxima and Minima 9-4 Lagrange Multipliers 9-5 Total Differentials and Approximations 9-6 Double Integrals Chapter Review Extended Application: Using Multivariable Fitting to Create a Response Surface Design Tables Table 1 Formulas of Geometry Table 2 Integrals Answers to Selected Exercises Photo Acknowledgements Table of Contents
Get Calculus with Applications, Brief Version, 11th Edition by Margaret L. Lial, American River College Raymond N. Greenwell, Hofstra University Nathan P. Ritchey, Edinboro University of PA
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