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MATHEMATICAL APPLICATIONS FOR THE MANAGEMENT, LIFE, AND SOCIAL SCIENCES, 10th Edition, is intended for a two-semester applied calculus or combined finite mathematics and applied calculus course. The book's concept-based approach, multiple presentation methods, and interesting and relevant applications keep students who typically take the course--business, economics, life sciences, and social sciences majors--engaged in the material. This edition broadens the book's real-life context by adding a number of environmental science and economic applications. The use of modeling has been expanded, with modeling problems now clearly labeled in the examples. Also included in the Tenth Edition is a brief review of algebra to prepare students with different backgrounds for the material in later chapters.
Author Bio
Ron Harshbarger and Jim Reynolds have worked together as co-authors on MATHEMATICAL APPLICATIONS, Nineth Edition since the book's inception. They have both taught for over 20 years, at all levels of undergraduate mathematics. Harshbarger is a professor at the University of South Carolina, and Reynolds is a professor at Clarion University in Pennsylvania.
Ron Harshbarger and Jim Reynolds have worked together as co-authors on MATHEMATICAL APPLICATIONS since the book's inception. They have both taught for over 20 years, at all levels of undergraduate mathematics. Harshbarger is a professor at the University of South Carolina, and Reynolds is a professor at Clarion University in Pennsylvania.
0. ALGEBRAIC CONCEPTS. Sets. The Real Numbers. Integral Exponents. Radicals and Rational Exponents. Operations with Algebraic Expressions. Factoring. Algebraic Fractions. 1. LINEAR EQUATIONS AND FUNCTIONS. Solutions of Linear Equations and Inequalities in One Variable. Functions. Linear Functions. Graphs and Graphing Utilities. Solution of Systems of Linear Equations. Applications of Functions in Business and Economics. 2. QUADRATIC AND OTHER SPECIAL FUNCTIONS. Quadratic Equations. Quadratic Functions: Parabolas. Business Applications Using Quadratics. Special Functions and Their Graphs. Modeling; Fitting Curves to Data with Graphing Utilities (optional). 3. MATRICES. Matrices. Multiplication of Matrices. Gauss-Jordan Elimination: Solving Systems of Equations. Inverse of a Square Matrix; Matrix Equations. Applications of Matrices: Leontief Input-Output Models. 4. INEQUALITIES AND LINEAR PROGRAMMING. Linear Inequalities in Two Variables. Linear Programming: Graphical Methods. The Simplex Method: Maximization. The Simplex Method: Duality and Minimization. The Simplex Method with Mixed Constraints. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions and Their Properties. Solution of Exponential Equations: Applications of Exponential and Logarithmic Functions. 6. MATHEMATICS OF FINANCE. Simple Interest; Sequences. Compound Interest; Geometric Sequences. Future Value of Annuities. Present Value of Annuities. Loans and Amortization. 7. INTRODUCTION TO PROBABILITY. Probability; Odds. Unions and Intersections of Events: One-Trial Experiments. Conditional Probability: The Product Rule. Probability Trees and Bayes' Formula. Counting: Permutations and Combinations. Permutations, Combinations, and Probability. Markov Chains. 8. FURTHER TOPICS IN PROBABILITY; DATA DESCRIPTION. Binomial Probability Experiments. Data Descriptions. Discrete Probability Distributions; The Binomial Distribution. Normal Probability Distribution. The Normal Curve Approximation to the Binomial Distribution. 9. DERIVATIVES. Limits. Continuous Functions; Limits at Infinity. Rates of Change and Derivatives. Derivative Formulas. The Product Rule and the Quotient Rule. The Chain Rule and the Power Rule. Using Derivative Formulas. Higher-Order Derivatives. Applications: Marginals and Derivatives. 10. APPLICATIONS OF DERIVATIVES. Relative Maxima and Minima: Curve Sketching. Concavity: Points of Inflection. Optimization in Business and Economics. Applications of Maxima and Minima. Rational Functions: More Curve Sketching. 11. DERIVATIVES CONTINUED. Derivatives of Logarithmic Functions. Derivatives of Exponential Functions. Implicit Differentiation. Related Rates. Applications in Business and Economics. 12. INDEFINITE INTEGRALS. The Indefinite Integral. The Power Rule. Integrals Involving Exponential and Logarithmic Functions. Applications of the Indefinite Integral in Business and Economics. Differential Equations. 13. DEFINITE INTEGRALS: TECHNIQUES OF INTEGRATION. Area Under a Curve. The Definite Integral: The Fundamental Theorem of Calculus. Area Between Two Curves. Applications of Definite Integrals in Business and Economics. Using Tables of Integrals. Integration by Parts. Improper Integrals and Their Applications. Numerical Integration Methods: Trapezoidal Rule and Simpson's Rule. 14. FUNCTIONS OF TWO OR MORE VARIABLES. Functions of Two or More Variables. Partial Differentiation. Applications of Functions of Two Variables in Business and Economics. Maxima and Minima. Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers. Appendix A: Financial Tables. Appendix B: Areas Under the Standard Normal Curve. Appendix C: Calculator Guide. Appendix D: Guide to Excel.
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MATHEMATICAL APPLICATIONS FOR THE MANAGEMENT, LIFE, AND SOCIAL SCIENCES, 10th Edition, is intended for a two-semester applied calculus or combined finite mathematics and applied calculus course. The book's concept-based approach, multiple presentation methods, and interesting and relevant applications keep students who typically take the course--business, economics, life sciences, and social sciences majors--engaged in the material. This edition broadens the book's real-life context by adding a number of environmental science and economic applications. The use of modeling has been expanded, with modeling problems now clearly labeled in the examples. Also included in the Tenth Edition is a brief review of algebra to prepare students with different backgrounds for the material in later chapters.
Author Bio
Ron Harshbarger and Jim Reynolds have worked together as co-authors on MATHEMATICAL APPLICATIONS, Nineth Edition since the book's inception. They have both taught for over 20 years, at all levels of undergraduate mathematics. Harshbarger is a professor at the University of South Carolina, and Reynolds is a professor at Clarion University in Pennsylvania.
Ron Harshbarger and Jim Reynolds have worked together as co-authors on MATHEMATICAL APPLICATIONS since the book's inception. They have both taught for over 20 years, at all levels of undergraduate mathematics. Harshbarger is a professor at the University of South Carolina, and Reynolds is a professor at Clarion University in Pennsylvania.
Table of Contents
0. ALGEBRAIC CONCEPTS. Sets. The Real Numbers. Integral Exponents. Radicals and Rational Exponents. Operations with Algebraic Expressions. Factoring. Algebraic Fractions. 1. LINEAR EQUATIONS AND FUNCTIONS. Solutions of Linear Equations and Inequalities in One Variable. Functions. Linear Functions. Graphs and Graphing Utilities. Solution of Systems of Linear Equations. Applications of Functions in Business and Economics. 2. QUADRATIC AND OTHER SPECIAL FUNCTIONS. Quadratic Equations. Quadratic Functions: Parabolas. Business Applications Using Quadratics. Special Functions and Their Graphs. Modeling; Fitting Curves to Data with Graphing Utilities (optional). 3. MATRICES. Matrices. Multiplication of Matrices. Gauss-Jordan Elimination: Solving Systems of Equations. Inverse of a Square Matrix; Matrix Equations. Applications of Matrices: Leontief Input-Output Models. 4. INEQUALITIES AND LINEAR PROGRAMMING. Linear Inequalities in Two Variables. Linear Programming: Graphical Methods. The Simplex Method: Maximization. The Simplex Method: Duality and Minimization. The Simplex Method with Mixed Constraints. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions and Their Properties. Solution of Exponential Equations: Applications of Exponential and Logarithmic Functions. 6. MATHEMATICS OF FINANCE. Simple Interest; Sequences. Compound Interest; Geometric Sequences. Future Value of Annuities. Present Value of Annuities. Loans and Amortization. 7. INTRODUCTION TO PROBABILITY. Probability; Odds. Unions and Intersections of Events: One-Trial Experiments. Conditional Probability: The Product Rule. Probability Trees and Bayes' Formula. Counting: Permutations and Combinations. Permutations, Combinations, and Probability. Markov Chains. 8. FURTHER TOPICS IN PROBABILITY; DATA DESCRIPTION. Binomial Probability Experiments. Data Descriptions. Discrete Probability Distributions; The Binomial Distribution. Normal Probability Distribution. The Normal Curve Approximation to the Binomial Distribution. 9. DERIVATIVES. Limits. Continuous Functions; Limits at Infinity. Rates of Change and Derivatives. Derivative Formulas. The Product Rule and the Quotient Rule. The Chain Rule and the Power Rule. Using Derivative Formulas. Higher-Order Derivatives. Applications: Marginals and Derivatives. 10. APPLICATIONS OF DERIVATIVES. Relative Maxima and Minima: Curve Sketching. Concavity: Points of Inflection. Optimization in Business and Economics. Applications of Maxima and Minima. Rational Functions: More Curve Sketching. 11. DERIVATIVES CONTINUED. Derivatives of Logarithmic Functions. Derivatives of Exponential Functions. Implicit Differentiation. Related Rates. Applications in Business and Economics. 12. INDEFINITE INTEGRALS. The Indefinite Integral. The Power Rule. Integrals Involving Exponential and Logarithmic Functions. Applications of the Indefinite Integral in Business and Economics. Differential Equations. 13. DEFINITE INTEGRALS: TECHNIQUES OF INTEGRATION. Area Under a Curve. The Definite Integral: The Fundamental Theorem of Calculus. Area Between Two Curves. Applications of Definite Integrals in Business and Economics. Using Tables of Integrals. Integration by Parts. Improper Integrals and Their Applications. Numerical Integration Methods: Trapezoidal Rule and Simpson's Rule. 14. FUNCTIONS OF TWO OR MORE VARIABLES. Functions of Two or More Variables. Partial Differentiation. Applications of Functions of Two Variables in Business and Economics. Maxima and Minima. Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers. Appendix A: Financial Tables. Appendix B: Areas Under the Standard Normal Curve. Appendix C: Calculator Guide. Appendix D: Guide to Excel.
Digital Rights
eTextbooks and eChapters can be viewed by using the free reader listed below.
Be sure to check the format of the eTextbook/eChapter you purchase to know which reader you will need. After purchasing your eTextbook or eChapter, you will be emailed instructions on where and how to download your free reader.
Download Requirements:Due to the size of eTextbooks, a high-speed Internet connection (cable modem, DSL, LAN) is required for download stability and speed. Your connection can be wired or wireless.
Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet during the download process.
User Help:
Click Here to access the VitalSource Bookshelf FAQ
Digital Rights Management (DRM) Key
Printing - Books that cannot be printed will show "Not Allowed." Otherwise, this will detail the number of times it can be printed, or "Allowed with no limits."
Expires - Books that have no expiration (the date upon which you will no longer be able to access your eBook) will read "No Expiration." Otherwise it will state the number of days from activation (the first time you actually read it).
Reading Aloud - Books enabled with the "text-to-speech" feature so that they can be read aloud will show "Allowed."
Sharing - Books that cannot be shared with other computers will show "Not Allowed."
Min. Software Version - This is the minimum software version needed to read this book.
Suitable Devices - Hardware known to be compatible with this book. Note: Reader software still needs to be installed.