Applied Mathematics for the Managerial, Life, and Social Sciences

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Market-leading APPLIED MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, 5e, International Edition is a traditional text with a slightly modern feel. This new edition incorporates technology in such a way that both traditional and modern practitioners find the support they need to teach effectively. Continuing its tradition of mathematical accuracy, the new fifth edition teaches by application and uses real and realistic examples to motivate students. It combines solid theory with innovative learning tools, includes a robust supplement package, and offers unmatched flexibility that makes the course easy to teach. Accessible for majors and non-majors alike, the book uses an intuitive approach that introduces abstract concepts through examples drawn from common, real-life experiences to which students can relate. It also draws applications from readers' fields of interest. In addition, insightful Portfolios highlight the careers of real people and discuss how they incorporate math into their professional lives. Numerous exercises ensure students have a solid understanding of text concepts before advancing to the next topic. Bringing powerful resources to students' fingertips, the text's exciting array of supplementsuincluding Enhanced WebAssign, Solution Videos, and Personal Tutoruequips students with extensive learning support to help them maximize their study time.

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1. FUNDAMENTALS OF ALGEBRA. Real Numbers. Polynomials. Factoring Polynomials. Rational Expressions. Integral Exponents. Solving Equations. Rational Exponents and Radicals. Quadratic Equations. Inequalities and Absolute Value. 2. FUNCTIONS AND THEIR GRAPHS. The Cartesian Coordinate System and Straight Lines. Equations of Lines. Functions and Their Graphs. The Algebra of Functions. Linear Functions. Quadratic Functions. Functions and Mathematical Models. 3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions. Exponential Functions as Mathematical Models. 4. MATHEMATICS OF FINANCE. Compound Interest. Annuities. Amortization and Sinking Funds. Arithmetic and Geometric Progressions (Optional). 5. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Systems of Linear Equations: An Introduction. Systems of Linear Equations: Unique Solutions. Systems of Linear Equations: Undetermined and Overdetermined Systems. Matrices. Multiplication of Matrices. The Inverse of a Square Matrix. 6. LINEAR PROGRAMMING. Graphing Systems of Linear Inequalities in Two Variables. Linear Programming Problems. Graphical Solution of Linear Programming Problems. The Simplex Method: Standard Maximization Problems. The Simplex Method: Standard Minimization Problems. 7. SETS AND PROBABILITY. Sets and Set Operations. The Number of Elements in a Finite Set. The Multiplication Principle. Permutations and Combinations. Experiments, Sample Spaces, and Events. Probability. Rules of Probability. 8. ADDITIONAL TOPICS IN PROBABILITY. Use of Counting Techniques in Probability. Conditional Probability and Independent Events. Bayes" Theorem. Distributions of Random Variables. Expected Value. Variance and Standard Deviation. 9. THE DERIVATIVE. Limits. Continuity. The Derivative. Basic Rules of Differentiation. The Product and Quotient Rules: Higher-Order Derivatives. The Chain Rule. Differentiation of Exponential and Logarithmic Functions. Marginal Functions in Economics. 10. APPLICATIONS OF THE DERIVATIVE. Applications of the First Derivative. Applications of the Second Derivative. Curve Sketching. Optimization I. Optimization II. 11. INTEGRATION. Antiderivatives and the Rules of Integration. Integration by Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. Evaluating Definite Integrals. Area between Two Curves. Applications of the Definite Integral to Business and Economics. 12. CALCULUS OF SEVERAL VARIABLES. Functions of Several Variables. Partial Derivatives. Maxima and Minima of Functions of Several Variables. Linear Inequalities in Two Variables. Linear Programming Problems. Graphical Solution of Linear Programming Problems. The Simplex Method: Standard Maximization Problems. The Simplex Method: Standard Minimization Problems. 7. SETS AND PROBABILITY. Sets and Set Operations. The Number of Elements in a Finite Set. The Multiplication Principle. Permutations and Combinations. Experiments, Sample Spaces, and Events. Probability. Rules of Probability. 8. ADDITIONAL TOPICS IN PROBABILITY. Use of Counting Techniques in Probability. Conditional Probability and Independent Events. Bayes" Theorem. Distributions of Random Variables. Expected Value. Variance and Standard Deviation. 9. THE DERIVATIVE. Limits. Continuity. The Derivative. Basic Rules of Differentiation. The Product and Quotient Rules: Higher-Order Derivatives. The Chain Rule. Differentiation of Exponential and Logarithmic Functions. Marginal Functions in Economics. 10. APPLICATIONS OF THE DERIVATIVE. Applications of the First Derivative. Applications of the Second Derivative. Curve Sketching. Optimization I. Optimization II. 11. INTEGRATION. Antiderivatives and the Rules of Integration. Integration by Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. Evaluating Definite Integrals. Area between Two Curves. Applications of the Definite Integral to Business and Economics. 12. CALCULUS OF SEVERAL VARIABLES. Functions of Several Variables. Partial Derivatives. Maxima and Minima of Functions of Several Variables.

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