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| Algebra Review | |
| Real Numbers | |
| Exponents and Radicals | |
| Multiplying and Factoring Algebraic Equations | |
| Rational Expressions | |
| Solving Polynomial Equations | |
| Solving Miscellaneous Equations | |
| Functions and Linear Models | |
| Functions from the Numerical and Algebraic Viewpoints | |
| Functions from the Graphical Viewpoint | |
| Linear Functions | |
| Linear Models | |
| Linear Regression | |
| Key Concepts | |
| Review Exercises | |
| Case Study: Modeling Spending on Internet Advertising | |
| Technology Guides | |
| Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions | |
| Nonlinear Models | |
| Quadratic Functions and Models | |
| Exponential Functions and Models | |
| Logarithmic Functions and Models | |
| Logistic Functions and Models | |
| Key Concepts | |
| Review Exercises | |
| Case Study: Checking up on Malthus | |
| Technology Guides | |
| Optional Internet Topics: Inverse Functions | |
| Using and Deriving Algebraic Properties of Logarithms | |
| Introduction to the Derivative | |
| Limits: Numerical and Graphical Approaches | |
| Limits and Continuity | |
| Limits: Algebraic Approach | |
| Average Rate of Change | |
| Derivatives: Numerical and Graphical Viewpoints | |
| Derivatives: Algebraic Viewpoint | |
| Derivatives of Powers, Sums, and Constant Multiples | |
| A First Application: Marginal Analysis | |
| Key Concepts | |
| Review Exercises | |
| Case Study: Reducing Sulfur Emissions | |
| Technology Guides | |
| Optional Internet Topics: Sketching the Graph of the Derivative | |
| Proof of the Power Rule | |
| Continuity and Differentiability | |
| Techniques of Differentiation | |
| The Product and Quotient Rules | |
| The Chain Rule | |
| Derivatives of Logarithmic and Exponential Functions | |
| Implicit Differentiation | |
| Key Concepts | |
| Review Exercises | |
| Case Study: Projecting Market Growth | |
| Technology Guides | |
| Optional Internet Topic: Linear Approximation and Error Estimation | |
| Applications of the Derivative | |
| Maxima and Minima | |
| Applications of Maxima and Minima | |
| The Second Derivative and Analyzing Graphs | |
| Related Rates | |
| Elasticity | |
| Key Concepts | |
| Review Exercises | |
| Case Study: Production Lot Size Management | |
| Technology Guides | |
| The Integral | |
| The Indefinite Integral | |
| Substitution | |
| The Definite Integral: Numerical and Graphical Approaches | |
| The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus | |
| Key Concepts | |
| Review Exercises | |
| Case Study: Wage Inflation | |
| Technology Guides | |
| Optional Internet Topic: Numerical Integration | |
| Further Integration Techniques and Applications of the Integral | |
| Integration by Parts | |
| Area Between Two Curves and Applications | |
| Averages and Moving Averages | |
| Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams | |
| Improper Integrals and Applications | |
| Differential Equations and Applications | |
| Key Concepts | |
| Review Exercises | |
| Case Study: Estimating Tax Revenues | |
| Technology Guides | |
| Optional Internet Topic: Taylor Polynomials | |
| Functions of several Variables | |
| Functions of Several Variables from the Numerical and Algebraic Viewpoints | |
| Three Dimensional Space and the Graph of a Function of Two Variables | |
| Partial Derivatives | |
| Maxima and Minima | |
| Constrained Maxima and Minima and Applications | |
| Double Integrals and Applications | |
| Key Concepts | |
| Review Exercises | |
| Case Study: Modeling Household Income | |
| Technology Guides | |
| Optional Internet Topic: The Chain Rule for Functions of Several Variables | |
| Trigonometric Models | |
| Trigonometric Functions, Models, and Regression | |
| Derivatives of Trigonometric Functions and Applications | |
| Integrals of Trigonometric Functions and Applications | |
| Key Concepts | |
| Review Exercises | |
| Case Study: Predicting Cocoa Inventories | |
| Technology Guides | |
| Answers to Selected Exercises | |
| Index | |
| Optional Internet Topic | |
| S. Calculus Applied to Probability and Statistics | |
| Introduction | |
| Continuous Random Variables and Histograms | |
| Probability Density Functions: Uniform, Exponential, Normal, and Beta | |
| Mean, Median, Variance and Standard Deviation | |
| Case Study: Creating a Family Trust | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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