Table of Contents Preface Prerequisite Skills Diagnostic Test Algebra Reference R.1 Polynomials R.2 Factoring R.3 Rational Expressions R.4 Equations R.5 Inequalities R.6 Exponents R.7 Radica... ls Linear Functions 1.1 Slopes and Equations of Lines 1.2 Linear Functions and Applications 1.3 The Least Squares Line Chapter 1 Review Extended Application: Predicting Life Expectancy Systems of Linear Equations and Matrices 2.1 Solution of Linear Systems by the Echelon Method 2.2 Solution of Linear Systems by the Gauss-Jordan Method 2.3 Addition and Subtraction of Matrices 2.4 Multiplication of Matrices 2.5 Matrix Inverses 2.6 Input-Output Models Chapter 2 Review Extended Application: Contagion Linear Programming: The Graphical Method 3.1 Graphing Linear Inequalities 3.2 Solving Linear Programming Problems Graphically 3.3 Applications of Linear Programming Chapter 3 Review Extended Application: Sensitivity Analysis Linear Programming: The Simplex Method 4.1 Slack Variables and the Pivot 4.2 Maximization Problems 4.3 Minimization Problems; Duality 4.4 Nonstandard Problems Chapter 4 Review Extended Application: Using Integer Programming in the Stock-Cutting Problem Mathematics of Finance 5.1 Simple and Compound Interest 5.2 Future Value of an Annuity 5.3 Present Value of an Annuity; Amortization Chapter 5 Review Extended Application: Time, Money, and Polynomials Logic 6.1 Statements 6.2 Truth Tables and Equivalent Statements 6.3 The Conditional and Circuits 6.4 More on the Conditional 6.5 Analyzing Arguments and Proofs 6.6 Analyzing Arguments with Quantifiers Chapter 6 Review Extended Application: Logic Puzzles Sets and Probability 7.1 Sets 7.2 Applications of Venn Diagrams 7.3 Introduction to Probability 7.4 Basic Concepts of Probability 7.5 Conditional Probability; Independent Events 7.6 Bayes' Theorem Chapter 7 Review Extended Application: Medical Diagnosis Counting Principles; Further Probability Topics 8.1 The Multiplication Principle; Permutations 8.2 Combinations 8.3 Probability Applications of Counting Principles 8.4 Binomial Probability 8.5 Probability Distributions; Expected Value Chapter 8 Review Extended Application: Optimal Inventory for a Service Truck Statistics 9.1 Frequency Distributions; Measures of Central Tendency 9.2 Measures of Variation 9.3 The Normal Distribution 9.4 Normal Approximation to the Binomial Distribution Chapter 9 Review Extended Application Statistics in the Law--the Castaneda Decision Nonlinear Functions 10.1 Properties of Functions 10.2 Quadratic Functions; Translation and Reflection 10.3 Polynomial and Rational Functions 10.4 Exponential Functions 10.5 Logarithmic Functions 10.6 Applications: Growth and Decay; Mathematics of Finance Chapter 10 Review Extended Application: Power Functions The Derivative 11.1 Limits 11.2 Continuity 11.3 Rates of Change 11.4 Definition of the Derivative 11.5 Graphical Differentiation Chapter 11 Review Extended Application: A Model for Drugs Administered Intravenously Calculating the Derivative 12.1 Techniques for Finding Derivatives 12.2 Derivatives of Products and Quotients 12.3 The Chain Rule 12.4 Derivatives of Exponential Functions 12.5 Derivatives of Logarithmic Functions Chapter 12 Review Extended Application: Electric Potential and Electric Field Graphs and the Derivative 13.1 Increasing and Decreasing Functions 13.2 Relative Extrema 13.3 Higher Derivatives, Concavity, and the Second Derivative Test 13.4 Curve Sketching Chapter 13 Review Extended Application: A Drug Concentration Model for Orally Administered Medications Applications of the Derivative 14.1 Absolute Extrema 14.2 Applications of Extrema 14.3 Further Business Applications 14.4 Implicit Differentiation 14.5 Related Rates 14.6 Differentials: Linear Approximation Chapter 14 Review Extended Application: A Total Model for a Training Program Integration 15.1 Antiderivatives 15.2 Substitution 15.3 Area and the Definite Integral 15.4 The Fundamental Theorem of Calculus 15.5 The Area Between Two Curves 15.6 Numerical Integration Chapter 15 Review Extended Application Estimating Depletion Dates for Minerals Further Techniques and Applications of Integration 16.1 Integration by Parts 16.2 Volume and Average Value 16.3 Continuous Money Flow 16.4 Improper Integrals 16.5 Solutions of Elementary and Separable Differential Equations Chapter 16 Review Extended Application: Estimating Learning Curves in Manufacturing With Integrals Multivariable Calculus 17.1 Functions of Several Variables 17.2 Partial Derivatives 17.3 Maxima and Minima 17.4 Lagrange Multipliers 17.5 Total Differentials and Approximations 17.6 Double Integrals Chapter 17 Review Extended Application: Using Multivariable Fitting to Create a Response Surface Design Probability and Calculus 18.1 Continuous Probability Models 18.2 Expected Value and Variance of Continuous Random Variables 18.3 Special Probability Density Functions Chapter 18 Review Extended Application Exponential Waiting Times [Show More]
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