For freshman/sophomore, 2 semester/2-3 quarter courses covering finite mathematics and/or calculus for students in business, economics, social sciences, or life sciences. Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market-with special emphasis on prerequisites skills-and a host of student-friendly features to help students catch up or learn on their own. The content is organized into three parts: (1) A Library of Elementary Functions (Chapters 1-2), (2) Finite Mathematics (Chapters 3-9), and (3) Calculus (Chapters 10-15). This program provides a better teaching and learning experience. Here's how: *Personalized learning with MyMathLab(R): the accompanying MyMathLab course provides online homework and learning tools that help students help themselves succeed. *More than 6,900 exercises in the text help you craft the perfect assignments for your students, with plenty of support for prerequisite skills. *Built-in guidance helps students help themselves learn course content.
*Flexible coverage allows instructors to use this text in a way that suits their syllabus and teaching style.
Diagnostic Prerequisite Test PART ONE: A LIBRARY OF ELEMENTARY FUNCTIONS 1. Linear Equations and Graphs 1.1 Linear Equations and Inequalities 1.2 Graphs and Lines 1.3 Linear Regression Chapter 1 Review Review Exercises 2. Functions and Graphs 2.1 Functions 2.2 Elementary Functions: Graphs and Transformations 2.3 Quadratic Functions 2.4 Polynomial and Rational Functions 2.5 Exponential Functions 2.6 Logarithmic Functions Chapter 2 Review Review Exercises PART TWO: FINITE MATHEMATICS 3. Mathematics of Finance 3.1 Simple Interest 3.2 Compound and Continuous Compound Interest 3.3 Future Value of an Annuity; Sinking Funds 3.4 Present Value of an Annuity; Amortization Chapter 3 Review Review Exercises 4. Systems of Linear Equations; Matrices 4.1 Review: Systems of Linear Equations in Two Variables 4.2 Systems of Linear Equations and Augmented Matrices 4.3 Gauss-Jordan Elimination 4.4 Matrices: Basic Operations 4.5 Inverse of a Square Matrix 4.6 Matrix Equations and Systems of Linear Equations 4.7 Leontief Input-Output Analysis Chapter 4 Review Review Exercises 5. Linear Inequalities and Linear Programming 5.1 Linear Inequalities in Two Variables 5.2 Systems of Linear Inequalities in Two Variables 5.3 Linear Programming in Two Dimensions: A Geometric Approach Chapter 5 Review Review Exercises 6. Linear Programming: The Simplex Method 6.1 The Table Method: An Introduction to the Simplex Method 6.2 The Simplex Method: Maximization with Problem Constraints of the Form <= 6.3 The Dual; Minimization with Problem Constraints of the form => 6.4 Maximization and Minimization with Mixed Problem Constraints Chapter 6 Review Review Exercises 7. Logic, Sets, and Counting 7.1 Logic 7.2 Sets 7.3 Basic Counting Principles 7.4 Permutations and Combinations Chapter 7 Review Review Exercises 8. Probability 8.1 Sample Spaces, Events, and Probability 8.2 Union, Intersection, and Complement of Events; Odds 8.3 Conditional Probability, Intersection, and Independence 8.4 Bayes' Formula 8.5 Random Variables, Probability Distribution, and Expected Value Chapter 8 Review Review Exercises 9. Markov Chains 9.1 Properties of Markov Chains 9.2 Regular Markov Chains 9.3 Absorbing Markov Chains Chapter 9 Review Review Exercises PART THREE: CALCULUS 10. Limits and the Derivative 10.1 Introduction to Limits 10.2 Infinite Limits and Limits at Infinity 10.3 Continuity 10.4 The Derivative 10.5 Basic Differentiation Properties 10.6 Differentials 10.7 Marginal Analysis in Business and Economics Chapter 10 Review Review Exercises 11. Additional Derivative Topics 11.1 The Constant e and Continuous Compound Interest 11.2 Derivatives of Logarithmic and Exponential Functions 11.3 Derivatives of Products and Quotients 11.4 The Chain Rule 11.4 Implicit Differentiation 11.5 Related Rates 11.7 Elasticity of Demand Chapter 11 Review Review Exercises 12. Graphing and Optimization 12.1 First Derivative and Graphs 12.2 Second Derivative and Graphs 12.3 L'Hopital's Rule 12.4 Curve Sketching Techniques 12.5 Absolute Maxima and Minima 12.6 Optimization Chapter 12 Review Review Exercises 13. Integration 13.1 Antiderivatives and Indefinite Integrals 13.2 Integration by Substitution 13.3 Differential Equations; Growth and Decay 13.4 The Definite Integral 13.5 The Fundamental Theorem of Calculus Chapter 13 Review Review Exercises 14. Additional Integration Topics 14.1 Area Between Curves 14.2 Applications in Business and Economics 14.3 Integration by Parts 14.4 Other Integration Methods Chapter 14 Review Review Exercises 15. Multivariable Calculus 15.1 Functions of Several Variables 15.2 Partial Derivatives 15.3 Maxima and Minima 15.4 Maxima and Minima Using Lagrange Multipliers 15.5 Method of Least Squares 15.6 Double Integrals Over Rectangular Regions 15.7 Double Integrals Over More General Regions Chapter 15 Review Review Exercises APPENDICES A. Basic Algebra Review A.1 Algebra and Real Numbers A.2 Operations on Polynomials A.3 Factoring Polynomials A.4 Operations on Rational Expressions A.5 Integer Exponents and Scientific Notation A.6 Rational Exponents and Radicals A.7 Quadratic Equations B. Special Topics B.1 Sequences, Series, and Summation Notation B.2 Arithmetic and Geometric Sequences B.3 Binomial Theorem C. Tables Table I. Basic Geometric Formulas Table II. Integration Formulas Answers Index Applications Index A Library of Elementary Functions
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