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Mathematical Applications, Seventh Edition
Ronald J. Harshbarger, University of South Carolina Beaufort
James J. Reynolds, Clarion University of Pennsylvania
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  • Chapter 0 Algebraic Concepts

    0.1 Sets
    0.2 The Real Numbers
    0.3 Integral Exponents
    0.4 Radicals and Rational Exponents
    0.5 Operations with Algebraic Expressions
    0.6 Factoring
    0.7 Algebraic Fractions

  • Chapter 1 Linear Equations and Functions

    1.1 Solution of Linear Equations in One Variable
    1.2 Functions
    1.3 Linear Functions
    1.4 Graphs and Graphing Utilities
    1.5 Solutions of Systems of Linear Equations
    1.6 Applications of Functions in Business and Economics

  • Chapter 2 Special Functions

    2.1 Quadratic Equations
    2.2 Quadratic Functions; Parabolas
    2.3 Business Applications of Quadratic Functions
    2.4 Special Functions and Their Graphs
    2.5 Modeling; Fitting Curves to Data with Graphing Utilities

  • Chapter 3 Matrices

    3.1 Matrices
    3.2 Multiplication of Matrices
    3.3 Gauss-Jordan Elimination: Solving Systems of Equations
    3.4 Inverse of a Square Matrix; Matrix Equations
    3.5 Applications of Matrices: Leontief Input-Output Models
    3.1 Matrices

  • Chapter 4 Inequalities and Linear Programming

    4.1 Linear Inequalities in One Variable
    4.2 Linear Inequalities in Two Variables
    4.3 Linear Programming: Graphical Methods
    4.4 The Simplex Method: Maximization
    4.5 The Simplex Method: Duality and Minimization
    4.6 The Simplex Method with Mixed Constraints
    4.2 Graphing Linear Inequalities in Two Variables
    4.3 Linear Programming

  • Chapter 5 Exponential and Logarithmic Functions

    5.1 Exponential Functions
    5.2 Logarithmic Functions and Their Properties
    5.3 Solution of Exponential Equations; Applications of Exponential and Logarithmic Functions

  • Chapter 6 Mathematics of Finance

    6.1 Simple Interest; Sequences
    6.2 Compound Interest; Geometric Sequences
    6.3 Future Value of Annuities
    6.4 Present Value of Annuities
    6.5 Loans and Amortization

  • Chapter 7 Introduction to Probability

    7.1 Probability: Odds
    7.2 Unions and Intersections of Events: One-Trial Experiments
    7.3 Conditional Probability: the Product Rule
    7.4 Probability Trees and Bayes' Formula
    7.5 Counting: Permutations and Combinations
    7.6 Permutations, Combinations, and Probability
    7.7 Markov Chains

  • Chapter 8 Further Topics in Probability; Data Description

    8.1 Binomial Probability Experiments
    8.2 Data Description
    8.3 Discrete Probability Distributions: Decision Making
    8.4 The Binomial Distribution
    8.5 Normal Probability Distribution

  • Chapter 9 Derivatives

    9.1 Limits
    9.2 Continuous Functions: Limits at Infinity
    9.3 Average and Instantaneous Rates of Change: The Derivative
    9.4 Derivative Formulas
    9.5 The Product Rule and the Quotient Rule
    9.6 The Chain Rule and the Power Rule
    9.7 Using Derivative Formulas
    9.8 Higher-Order Derivatives
    9.9 Applications of Derivatives in Business and Economics

  • Chapter 10 Applications of Derivatives

    10.1 Relative Maxima and Minima: Curve Sketching
    10.2 Concavity: Points of Inflection
    10.3 Optimization in Business and Economics
    10.4 Applications of Maxima and Minima
    10.5 Asymptotes; More Curve Sketching

  • Chapter 11 Derivatives Continued

    11.1 Derivatives of Logarithmic Functions
    11.2 Derivatives of Exponential Functions
    11.3 Implicit Differentiation
    11.4 Related Rates
    11.5 Applications in Business and Economics

  • Chapter 12 Indefinite Integrals

    12.1 The Indefinite Integral
    12.2 The Power Rule
    12.3 Integrals Involving Exponential and Logarithmic Functions
    12.4 Applications of the Indefinite Integral in Business and Economics
    12.5 Differential Equations

  • Chapter 13 Definite Integrals; Techniques of Integration

    13.1 Area Under a Curve
    13.2 The Definite Integral: The Fundamental Theorem of Calculus
    13.3 Area Between Two Curves
    13.4 Applications of Definite Integrals in Business and Economics
    13.5 Using Tables of Integrals
    13.6 Integration by Parts
    13.7 Improper Integrals and Their Applications
    13.8 Numerical Integration Methods: Trapezoidal Rule and Simpson's Rule

  • Chapter 14 Functions of Two of More Variables

    14.1 Functions of Two or More Variables
    14.2 Partial Differentiation
    14.3 Applications of Functions of Two Variables in Business and Economics
    14.4 Maxima and Minima
    14.5 Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers




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