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| Precalculus Review | |
| Real Numbers | |
| Exponents and Radicals | |
| Multiplying and Factoring Algebraic Equations | |
| Rational Expressions | |
| Solving Polynomial Equations | |
| Solving Miscellaneous Equations | |
| The Coordinate Plane | |
| Functions and Linear Models | |
| Functions from the Numerical, Algebraic, and Graphical Viewpoints | ... MORE|
| Applications: Functions and Models | |
| Linear Functions and Models | |
| Linear Regression | |
| Systems of Linear Equations and Matrices | |
| Systems of Two Equations in Two Unknowns | |
| Using Matrices to Solve Systems of Equations | |
| Applications of Systems of Linear Equations | |
| Matrix Algebra and Applications | |
| Matrix Addition and Scalar Multiplication | |
| Matrix Multiplication | |
| Matrix Inversion | |
| Game Theory | |
| Input-Output Models | |
| Linear Programming | |
| Graphing Linear Inequalities | |
| Solving Linear Programming Problems Graphically | |
| The Simplex Method: Solving Standard Maximization Problems | |
| The Simplex Method: Solving General Linear Programming Problems | |
| The Simplex Method and Duality | |
| The Mathematics of Finance | |
| Simple Interest | |
| Compound Interest | |
| Annuities, Loans, and Bonds | |
| Sets and Counting | |
| Sets and Set Operations | |
| Cardinality | |
| The Addition and Multiplication Principles | |
| Permutations and Combinations | |
| Probability | |
| Sample Spaces and Events | |
| Relative Frequency | |
| Probability and Probability Models | |
| Probability and Counting Techniques | |
| Conditional Probability and Independence | |
| Bayes' Theorem and Applications | |
| Markov Systems | |
| Random Variables and Statistics | |
| Random Variables and Distributions | |
| Bernoulli Trials and Binomial Random Variables | |
| Measures of Central Tendency | |
| Measures of Dispersion | |
| Normal Distributions | |
| Nonlinear Functions and Models | |
| Quadratic Functions and Models | |
| Exponential Functions and Models | |
| Logarithmic Functions and Models | |
| Logistic Functions and Models | |
| 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 | |
| Techniques of Differentiation with Applications | |
| Derivatives of Powers, Sums, and Constant Multiples | |
| A First Application: Marginal Analysis | |
| The Product and Quotient Rules | |
| The Chain Rule | |
| Derivatives of Logarithmic and Exponential Functions | |
| Implicit Differentiation | |
| Further Applications of the Derivative | |
| Maxima and Minima | |
| Applications of Maxima and Minima | |
| Higher Order Derivatives: Acceleration and Concavity | |
| Analyzing Graphs | |
| Related Rates | |
| Elasticity | |
| The Integral | |
| The Indefinite Integral | |
| Substitution | |
| The Definite Integral: Numerical and Graphical Approaches | |
| The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus | |
| 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 | |
| Optional Internet Topic: Taylor Polynomials | |
| Functions of Several Variables | |
| Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints | |
| Partial Derivatives | |
| Maxima and Minima | |
| Constrained Maxima and Minima and Applications | |
| Double Integrals and Applications | |
| Trigonometric Models | |
| Trigonometric Functions, Models, and Regression | |
| Derivatives of Trigonometric Functions and Applications | |
| Integrals of Trigonometric Functions and Applications | |
| Logic | |
| Table: Area Under a Normal Curve | |
| 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 | |
| Denotes material available online | |
| Table of Contents provided by Publisher. All Rights Reserved. |