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Intended for a two-semester applied calculus course or a two-term course of finite mathematics and applied calculus, "Mathematical Applications, 7/e, presents concepts and skills in an approachable way for students of varying abilities and interests. Applications cover diverse topics that are important to students in the management, life, and social sciences."New! A greater variety of exercises include more critical-thinking questions, challenging new "Examples, and "Checkpoint Exercises. In addition to enhanced variety, the improved grading of drill and application exercises offers appropriate problems for students of all abilities and skill levels."New! Numerous data-driven examples and exercises have been updated throughout the text and the number of modeling problems has increased."New! More graphical interpretations have been added to the exposition, especially during calculus discussions."New! Enhanced optional technology coverage includes the addition of Excel information, as necessary,and expanded discussion of calculator capabilities to clarify presentation of algebraic topics."New! New margin labels and example labels have b

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• Preliminary
• 0 Algebraic Concepts
• 0.1 Sets
• 0.2 The Real Numbers
• 0.3 Integral Expressions
• 0.4 Radicals and Rational Expressions
• 0.5 Operations with Algebraic Exponents
• 0.6 Factoring
• 0.7 Algebraic Fractions Extended Applications/Group Projects: Campaign Management; Pricing for Maximum Profit
• 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: Extended Applications/Group Projects: Hospital Administration; Fund Raising
• 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 (Optional) Extended Applications/Group Projects: Maximizing Profit; International E-mail Usage
• 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 Extended Applications/Group Projects: Taxation; Company Profits After Bonuses And Taxes
• 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 Extended Applications/Group Projects: Transportation; Sensitivity Analysis; Minimizing Cost for Electrical Transmission
• 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 Extended Applications/Group Projects: Agricultural Business Management; National Debt
• 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 Extended Applications/Group Projects: Mail Solicitation Home Equity Loans--Are These Good Deals?; Profit Reinvesting; Purchasing a Home
• 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 Extended Applications/Group Projects: Phone Numbers; Competition in the Telecommunications Industry
• 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 Extended Applications/Group Projects: Lotteries; Statistics in Medical Research; Hypothesis Testing
• 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 Product and Quotient Rules
• 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 Extended Applications/Group Projects: Marginal Return to Sales; Marginal Cost, Marginal Revenue, and Maximum Profit; Tangent Lines and Optimization in Business and Economics
• 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 Extended Applications/Group Projects: Production Management; Room Pricing in the Off Season
• 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 Extended Applications/Group Projects: Inflation; Knowledge Workers
• 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 Indefinite Integrals in Business and Economics
• 12.5 Differential Equations Extended Applications/Group Projects: Employee Production Rate; Supply and Demand
• 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 Extended Applications/Group Projects: Retirement Planning; Purchasing Electrical Power
• 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 Extended Applications/Group Projects: Advertising; Competitive Pricing
• Appendix
• Table I Amount of an Ordinary Annuity of $1
• Table II Present Value of an Ordinary Annuity of $1
• Table III Areas Under the Standard Normal Curve