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In APPLIED MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accessible yet accurate presentation of mathematics combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Third Edition includes highly interesting current applications and exercises to help stimulate student motivation. An exciting new array of supplements provides students with extensive learning support so instructors will have more time to focus on teaching the core concepts.

Tabla de contenidos provista por Syndetics

• Preface(p. ix)
• Chapter 1 Fundamentals of Algebra(p. 2)
• 1.1 Real Numbers(p. 3)
• 1.2 Polynomials(p. 9)
• 1.3 Factoring Polynomials(p. 17)
• 1.4 Rational Expressions(p. 22)
• 1.5 Integral Exponents(p. 29)
• 1.6 Solving Equations(p. 33)
• 1.7 Rational Exponents and Radicals(p. 39)
• 1.8 Quadratic Equations(p. 48)
• 1.9 Inequalities and Absolute Value(p. 57)
• Chapter 1 Summary of Principal Formulas and Terms(p. 67)
• Chapter 1 Review Exercises(p. 68)
• Chapter 2 Functions and Their Graphs(p. 70)
• 2.1 The Cartesian Coordinate System and Straight Lines(p. 71)
• 2.2 Equations of Lines(p. 78)
• Using Technology: Graphing a Straight Line(p. 88)
• 2.3 Functions and Their Graphs(p. 92)
• Using Technology: Graphing a Function(p. 104)
• 2.4 The Algebra of Functions(p. 110)
• PORTFOLIO: Michael Marchlik(p. 115)
• 2.5 Linear Functions(p. 119)
• PORTFOLIO: Carol Busa(p. 123)
• Using Technology: Linear Functions(p. 128)
• 2.6 Quadratic Functions(p. 133)
• Using Technology: Finding the Points of Intersection of Two Graphs(p. 142)
• 2.7 Functions and Mathematical Models(p. 144)
• Using Technology: Constructing Mathematical Models from Raw Data(p. 154)
• Chapter 2 Summary of Principal Formulas and Terms(p. 158)
• Chapter 2 Review Exercises(p. 159)
• Chapter 3 Exponential and Logarithmic Functions(p. 161)
• 3.1 Exponential Functions(p. 162)
• Using Technology(p. 168)
• 3.2 Logarithmic Functions(p. 170)
• 3.3 Exponential Functions as Mathematical Models(p. 179)
• Using Technology: Analyzing Mathematical Models(p. 188)
• Chapter 3 Summary of Principal Formulas and Terms(p. 190)
• Chapter 3 Review Exercises(p. 190)
• Chapter 4 Mathematics of Finance(p. 192)
• 4.1 Compound Interest(p. 193)
• Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment(p. 208)
• 4.2 Annuities(p. 213)
• Using Technology: Finding the Amount of an Annuity(p. 222)
• 4.3 Amortization and Sinking Funds(p. 225)
• PORTFOLIO: John Decker(p. 230)
• Using Technology: Amortizing a Loan(p. 234)
• 4.4 Arithmetic and Geometric Progressions (Optional)(p. 238)
• Chapter 4 Summary of Principal Formulas and Terms(p. 247)
• Chapter 4 Review Exercises(p. 247)
• Chapter 5 Systems of Linear Equations and Matrices(p. 250)
• 5.1 Systems of Linear Equations: An Introduction(p. 251)
• 5.2 Systems of Linear Equations: Unique Solutions(p. 259)
• Using Technology: Systems of Linear Equations: Unique Solutions(p. 272)
• 5.3 Systems of Linear Equations: Underdetermined and Overdetermined Systems(p. 276)
• Using Technology: Systems of Linear Equations: Underdetermined and Overdetermined Systems(p. 286)
• 5.4 Matrices(p. 288)
• Using Technology: Matrix Operations(p. 296)
• 5.5 Multiplication of Matrices(p. 301)
• Using Technology: Matrix Multiplication(p. 312)
• 5.6 The Inverse of a Square Matrix(p. 317)
• Using Technology: Finding the Inverse of a Square Matrix(p. 330)
• Chapter 5 Summary of Principal Formulas and Terms(p. 334)
• Chapter 5 Review Exercises(p. 335)
• Chapter 6 Linear Programming(p. 337)
• 6.1 Graphing Systems of Linear Inequalities in Two Variables(p. 338)
• 6.2 Linear Programming Problems(p. 346)
• PORTFOLIO: Leanne Jenkins(p. 351)
• 6.3 Graphical Solution of Linear Programming Problems(p. 356)
• 6.4 The Simplex Method: Standard Maximization Problems(p. 369)
• PORTFOLIO: Harley Lance Kaplan(p. 385)
• Using Technology: The Simplex Method: Solving Maximization Problems(p. 390)
• 6.5 The Simplex Method: Standard Minimization Problems(p. 397)
• Using Technology: The Simplex Method: Solving Minimization Problems(p. 408)
• Chapter 6 Summary of Principal Terms(p. 414)
• Chapter 6 Review Exercises(p. 415)
• Chapter 7 Sets and Probability(p. 417)
• 7.1 Sets and Set Operations(p. 418)
• 7.2 The Number of Elements in a Finite Set(p. 429)
• 7.3 The Multiplication Principle(p. 436)
• Portfolio: John L. Higgins(p. 440)
• 7.4 Permutations and Combinations(p. 443)
• Using Technology: Evaluating n!, P(n, r), and C(n, r)(p. 454)
• 7.5 Experiments, Sample Spaces, and Events(p. 459)
• 7.6 Probability(p. 468)
• 7.7 Rules of Probability(p. 477)
• Chapter 7 Summary of Principal Formulas and Terms(p. 485)
• Chapter 7 Review Exercises(p. 487)
• Chapter 8 Additional Topics in Probability(p. 490)
• 8.1 Use of Counting Techniques in Probability(p. 491)
• 8.2 Conditional Probability and Independent Events(p. 499)
• 8.3 Bayes' Theorem(p. 513)
• 8.4 Distribution of Random Variables(p. 522)
• Using Technology: Graphing a Histogram(p. 530)
• 8.5 Expected Value(p. 534)
• 8.6 Variance and Standard Deviation(p. 545)
• Portfolio: Lilli Meiselman(p. 546)
• Using Technology: Finding the Mean and Standard Deviation(p. 556)
• Chapter 8 Summary of Principal Formulas and Terms(p. 559)
• Chapter 8 Review Exercises(p. 560)
• Chapter 9 The Derivative(p. 562)
• 9.1 Limits(p. 563)
• Using Technology: Finding the Limit of a Function(p. 580)
• Portfolio: James H. Chesebro, M.D.(p. 584)
• 9.2 Continuity(p. 585)
• Using Technology: Finding the Points of Discontinuity of a Function(p. 598)
• 9.3 The Derivative(p. 603)
• Using Technology: Graphing a Function and Its Tangent Line(p. 618)
• 9.4 Basic Rules of Differentiation(p. 624)
• Using Technology: Finding the Rate of Change of a Function(p. 634)
• 9.5 The Product and Quotient Rules: Higher-Order Derivatives(p. 638)
• Using Technology: The Product and Quotient Rule; Finding the Second Derivative of a Function at a Given Point(p. 652)
• 9.6 The Chain Rule(p. 656)
• Using Technology: Finding the Derivative of a Composite Function(p. 668)
• 9.7 Differentiation of Exponential and Logarithmic Functions(p. 670)
• Using Technology(p. 680)
• 9.8 Marginal Functions in Economics(p. 683)
• Chapter 9 Summary of Principal Formulas and Terms(p. 693)
• Chapter 9 Review Exercises(p. 695)
• Chapter 10 Applications of the Derivative(p. 698)
• 10.1 Applications of the First Derivative(p. 699)
• Using Technology: Using the First Derivative to Analyze a Function(p. 716)
• 10.2 Applications of the Second Derivative(p. 720)
• Using Technology: Finding the Inflection Points of a Function(p. 734)
• 10.3 Curve Sketching(p. 737)
• Using Technology: Analyzing the Properties of a Function(p. 748)
• 10.4 Optimization I(p. 752)
• Portfolio: Misato Nakazaki(p. 760)
• Using Technology: Finding the Absolute Extrema of a Function(p. 764)
• 10.5 Optimization II(p. 768)
• Chapter 10 Summary of Principal Terms(p. 779)
• Chapter 10 Review Exercises(p. 780)
• Chapter 11 Integration(p. 782)
• 11.1 Antiderivatives and the Rules of Integration(p. 783)
• 11.2 Integration by Substitution(p. 797)
• 11.3 Area and the Definite Integral(p. 807)
• 11.4 The Fundamental Theorem of Calculus(p. 817)
• Using Technology: Evaluating Definite Integrals(p. 826)
• 11.5 Evaluating Definite Integrals(p. 827)
• Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions(p. 836)
• 11.6 Area between Two Curves(p. 839)
• Using Technology: Finding the Area between Two Curves(p. 850)
• 11.7 Applications of the Definite Integral to Business and Economics(p. 853)
• Using Technology: Business and Economic Applications/Technology Exercises(p. 866)
• Chapter 11 Summary of Principal Formulas and Terms(p. 867)
• Chapter 11 Review Exercises(p. 868)
• Chapter 12 Calculus of Several Variables(p. 871)
• 12.1 Functions of Several Variables(p. 872)
• 12.2 Partial Derivatives(p. 882)
• Using Technology: Finding Partial Derivatives at a Given Point(p. 894)
• 12.3 Maxima and Minima of Functions of Several Variables(p. 897)
• Chapter 12 Summary of Principal Terms(p. 908)
• Chapter 12 Review Exercises(p. 908)
• Answers to Odd-Numbered Exercises(p. 910)
• Index(p. 965)