Descripciones mejoradas de Syndetics:

This is a more comprehensive version of a basic, widely used college text. Advanced chapters and additional coverage is provided to cover such topics as Taylor polynomials, differential equations and more.

Tabla de contenidos provista por Syndetics

• Preface(p. ix)
• Part 1 A Library of Elementary Functions(p. 1)
• Chapter 1 A Beginning Library of Elementary Functions(p. 3)
• 1-1 Functions(p. 3)
• 1-2 Elementary Functions: Graphs and Transformations(p. 23)
• 1-3 Linear Functions and Straight Lines(p. 36)
• 1-4 Quadratic Functions(p. 52)
• Important Terms and Symbols(p. 67)
• Review Exercise(p. 68)
• Group Activity 1 Introduction to Regression Analysis(p. 72)
• Group Activity 2 Mathematical Modeling in Business(p. 74)
• Chapter 2 Additional Elementary Functions(p. 77)
• 2-1 Polynomial and Rational Functions(p. 77)
• 2-2 Exponential Functions(p. 93)
• 2-3 Logarithmic Functions(p. 107)
• Important Terms and Symbols(p. 120)
• Review Exercise(p. 120)
• Group Activity 1 Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions(p. 123)
• Group Activity 2 Comparing Regression Models(p. 124)
• Part 2 Finite Mathematics(p. 127)
• Chapter 3 Mathematics of Finance(p. 129)
• 3-1 Simple Interest(p. 129)
• 3-2 Compound Interest(p. 135)
• 3-3 Future Value of an Annuity; Sinking Funds(p. 149)
• 3-4 Present Value of an Annuity; Amortization(p. 156)
• Important Terms and Symbols(p. 168)
• Review Exercise(p. 168)
• Group Activity 1 Reducing Interest Payments on a Home Mortgage(p. 171)
• Group Activity 2 Yield to Maturity and Internal Rate of Return(p. 172)
• Chapter 4 Systems of Linear Equations; Matrices(p. 175)
• 4-1 Review: Systems of Linear Equations in Two Variables(p. 176)
• 4-2 Systems of Linear Equations and Augmented Matrices(p. 189)
• 4-3 Gauss-Jordan Elimination(p. 199)
• 4-4 Matrices: Basic Operations(p. 214)
• 4-5 Inverse of a Square Matrix(p. 227)
• 4-6 Matrix Equations and Systems of Linear Equations(p. 239)
• 4-7 Leontief Input-Output Analysis(p. 250)
• Important Terms and Symbols(p. 258)
• Review Exercise(p. 259)
• Group Activity 1 Using Matrices to Find Cost, Revenue, and Profit(p. 262)
• Group Activity 2 Direct and Indirect Operating Costs(p. 263)
• Chapter 5 Linear Inequalities and Linear Programming(p. 265)
• 5-1 Systems of Linear Inequalities in Two Variables(p. 265)
• 5-2 Linear Programming in Two Dimensions--A Geometric Approach(p. 279)
• 5-3 A Geometric Introduction to the Simplex Method(p. 294)
• 5-4 The Simplex Method: Maximization with Problem Constraints of the Form [less than or equal](p. 302)
• 5-5 The Dual; Minimization with Problem Constraints of the Form [great than or equal](p. 322)
• 5-6 Maximization and Minimization with Mixed Problem Constraints(p. 339)
• Important Terms and Symbols(p. 358)
• Review Exercise(p. 359)
• Group Activity 1 The Two-Phase Method (An Alternative to the Big M Method)(p. 361)
• Group Activity 2 Production Scheduling(p. 364)
• Chapter 6 Probability(p. 365)
• 6-1 Basic Counting Principles(p. 366)
• 6-2 Permutations and Combinations(p. 376)
• 6-3 Sample Spaces, Events, and Probability(p. 389)
• 6-4 Union, Intersection, and Complement of Events; Odds(p. 405)
• 6-5 Conditional Probability, Intersection, and Independence(p. 420)
• 6-6 Bayes' Formula(p. 436)
• 6-7 Random Variable, Probability Distribution, and Expected Value(p. 443)
• Important Terms and Symbols(p. 453)
• Review Exercise(p. 454)
• Group Activity 1 Car and Crying Towels(p. 459)
• Group Activity 2 Simulation--A Draft Lottery for Professional Sports(p. 460)
• Chapter 7 Markov Chains(p. 463)
• 7-1 Properties of Markov Chains(p. 463)
• 7-2 Regular Markov Chains(p. 476)
• 7-3 Absorbing Markov Chains(p. 488)
• Important Terms and Symbols(p. 504)
• Review Exercise(p. 504)
• Group Activity 1 Social Mobility(p. 508)
• Group Activity 2 Gambler's Ruin(p. 509)
• Part 3 Calculus(p. 511)
• Chapter 8 The Derivative(p. 513)
• 8-1 Rate of Change and Slope(p. 514)
• 8-2 Limits(p. 527)
• 8-3 The Derivative(p. 544)
• 8-4 Derivatives of Constants, Power Forms, and Sums(p. 557)
• 8-5 Derivatives of Products and Quotients(p. 570)
• 8-6 Chain Rule: Power Form(p. 578)
• 8-7 Marginal Analysis in Business and Economics(p. 586)
• Important Terms and Symbols(p. 597)
• Summary of Rules of Differentiation(p. 598)
• Review Exercise(p. 598)
• Group Activity 1 Minimal Average Cost(p. 603)
• Group Activity 2 Numerical Differentiation on a Graphing Utility(p. 604)
• Chapter 9 Graphing and Optimization(p. 605)
• 9-1 Continuity and Graphs(p. 606)
• 9-2 First Derivative and Graphs(p. 622)
• 9-3 Second Derivative and Graphs(p. 639)
• 9-4 Curve Sketching Techniques: Unified and Extended(p. 655)
• 9-5 Optimization; Absolute Maxima and Minima(p. 671)
• Important Terms and Symbols(p. 687)
• Review Exercise(p. 688)
• Group Activity 1 Maximizing Profit(p. 692)
• Group Activity 2 Minimizing Construction Costs(p. 692)
• Chapter 10 Additional Derivative Topics(p. 695)
• 10-1 The Constant e and Continuous Compound Interest(p. 695)
• 10-2 Derivatives of Logarithmic and Exponential Functions(p. 703)
• 10-3 Chain Rule: General Form(p. 715)
• 10-4 Implicit Differentiation(p. 727)
• 10-5 Related Rates(p. 734)
• Important Terms and Symbols(p. 740)
• Additional Rules of Differentiation(p. 740)
• Review Exercise(p. 741)
• Group Activity 1 Elasticity of Demand(p. 743)
• Group Activity 2 Point of Diminishing Returns(p. 744)
• Chapter 11 Integration(p. 745)
• 11-1 Antiderivatives and Indefinite Integrals(p. 745)
• 11-2 Integration by Substitution(p. 760)
• 11-3 Differential Equations--Growth and Decay(p. 772)
• 11-4 A Geometric-Numeric Introduction to the Definite Integral(p. 784)
• 11-5 Definite Integral as a Limit of a Sum; Fundamental Theorem of Calculus(p. 800)
• Important Terms and Symbols(p. 819)
• Integration Formulas and Properties(p. 819)
• Review Exercise(p. 819)
• Group Activity 1 Simpson's Rule(p. 824)
• Group Activity 2 Bell-Shaped Curves(p. 827)
• Chapter 12 Additional Integration Topics(p. 829)
• 12-1 Area between Curves(p. 829)
• 12-2 Applications in Business and Economics(p. 841)
• 12-3 Integration by Parts(p. 854)
• 12-4 Integration Using Tables(p. 861)
• Important Terms and Symbols(p. 869)
• Review Exercise(p. 869)
• Group Activity 1 Analysis of Income Concentration from Raw Data(p. 871)
• Group Activity 2 Grain Exchange(p. 873)
• Chapter 13 Multivariable Calculus(p. 875)
• 13-1 Functions of Several Variables(p. 875)
• 13-2 Partial Derivatives(p. 885)
• 13-3 Maxima and Minima(p. 895)
• 13-4 Maxima and Minima Using Lagrange Multipliers(p. 904)
• 13-5 Method of Least Squares(p. 914)
• 13-6 Double Integrals Over Rectangular Regions(p. 925)
• Important Terms and Symbols(p. 936)
• Review Exercise(p. 936)
• Group Activity 1 City Planning(p. 939)
• Group Activity 2 Numerical Integration of Multivariable Functions(p. 940)
• Chapter 14 Differential Equations(p. 943)
• 14-1 Basic Concepts(p. 943)
• 14-2 Separation of Variables(p. 955)
• 14-3 First-Order Linear Differential Equations(p. 967)
• Important Terms and Symbols(p. 979)
• Review Exercise(p. 979)
• Group Activity 1 Torricelli's Law(p. 981)
• Group Activity 2 Euler's Method(p. 983)
• Chapter 15 Probability and Calculus(p. 989)
• 15-1 Improper Integrals(p. 989)
• 15-2 Continuous Random Variables(p. 997)
• 15-3 Expected Value, Standard Deviation, and Median(p. 1010)
• 15-4 Special Probability Distributions(p. 1020)
• Important Terms and Symbols(p. 1032)
• Review Exercise(p. 1032)
• Group Activity 1 Beta Distributions(p. 1035)
• Group Activity 2 Chi-Square Distributions(p. 1036)
• Appendix A Special Topics(p. 1037)
• A-1 Sequences, Series, and Summation Notation(p. 1037)
• A-2 Arithmetic and Geometric Sequences(p. 1043)
• A-3 The Binomial Theorem(p. 1051)
• A-4 Increments and Differentials(p. 1055)
• A-5 L'Hopital's Rule(p. 1063)
• A-6 Double Integrals Over More General Regions(p. 1074)
• Appendix B Tables 1085
• Table I Basic Geometric Formulas(p. 1085)
• Table II Integration Formulas(p. 1087)
• Table III Area Under the Standard Normal Curve(p. 1091)
• Answers(p. 1)
• Index(p. 1)
• Library of Elementary Functions
• Applications Index