Published by Pearson (August 10, 2021) © 2022
Ernest Haeussler | Richard Paul | Richard Wood
Thisbook is ideal for one- or two-semester or two- or three-quarter coursescovering topics in college algebra, finite mathematics, and calculus forstudents in business, economics, and the life and social sciences.
Introductory Mathematical Analysis forBusiness, Economics, and the Life and Social Sciences provides a mathematical foundation for students in avariety of fields and majors. The authors establish an emphasis on algebraiccalculations that sets this text apart from other introductory, appliedmathematics books. Because the process of calculating variables builds skillsin mathematical modeling, this emphasis paves the way for students to solvereal-world problems that use calculus. The book's comprehensive structure—covering college algebra in Chapters0 through 4, finite mathematics in Chapters 5 through 9, and calculus inChapters 10 through 17—offers instructors flexibility in how they use thematerial based on the course they're teaching, the semester they're at, or whatthe students' background allows and their needs dictate.
Introductory Mathematical Analysis forBusiness, Economics, and the Life and Social Sciences provides a mathematical foundation for students in avariety of fields and majors. The authors establish an emphasis on algebraiccalculations that sets this text apart from other introductory, appliedmathematics books. Because the process of calculating variables builds skillsin mathematical modeling, this emphasis paves the way for students to solvereal-world problems that use calculus. The book's comprehensive structure—covering college algebra in Chapters0 through 4, finite mathematics in Chapters 5 through 9, and calculus inChapters 10 through 17—offers instructors flexibility in how they use thematerial based on the course they're teaching, the semester they're at, or whatthe students' background allows and their needs dictate.
CHAPTER 0 Review of Algebra
0.1 Sets of Real Numbers
0.2 Some Properties of RealNumbers
0.3 Exponents and Radicals
0.4 Operations with AlgebraicExpressions
0.5 Factoring
0.6 Fractions
0.7 Equations, in ParticularLinear Equations
0.8 Quadratic Equations
Chapter 0 Review
CHAPTER 1 Applications and MoreAlgebra
1.1 Applications of Equations
1.2 Linear Inequalities
1.3 Applications of Inequalities
1.4 Absolute Value
1.5 Summation Notation
1.6 Sequences
Chapter 1 Review
CHAPTER 2 Functions and Graphs
2.1 Functions
2.2 Special Functions
2.3 Combinations of Functions
2.4 Inverse Functions
2.5 Graphs in RectangularCoordinates
2.6 Symmetry
2.7 Translations and Reflections
2.8 Functions of Several Variables
Chapter 2 Review
CHAPTER 3 Lines, Parabolas, andSystems
3.1 Lines
3.2 Applications and LinearFunctions
3.3 Quadratic Functions
3.4 Systems of Linear Equations
3.5 Nonlinear Systems
3.6 Applications of Systems ofEquations
Chapter 3 Review
CHAPTER 4 Exponential and LogarithmicFunctions
4.1 Exponential Functions
4.2 Logarithmic Functions
4.3 Properties of Logarithms
4.4 Logarithmic and ExponentialEquations
Chapter 4 Review
PART II FINITE MATHEMATICS
CHAPTER 5 Mathematics of Finance
5.1 Compound Interest
5.2 Present Value
5.3 Interest CompoundedContinuously
5.4 Annuities
5.5 Amortization of Loans
5.6 Perpetuities
Chapter 5 Review
CHAPTER 6 Matrix Algebra
6.1 Matrices
6.2 Matrix Addition and ScalarMultiplication
6.3 Matrix Multiplication
6.4 Solving Systems by ReducingMatrices
6.5 Solving Systems by ReducingMatrices (continued)
6.6 Inverses
6.7 Leontief's Input--OutputAnalysis
Chapter 6 Review
CHAPTER 7 Linear Programming
7.1 Linear Inequalities in TwoVariables
7.2 Linear Programming
7.3 The Simplex Method
7.4 Artificial Variables
7.5 Minimization
7.6 The Dual
Chapter 7 Review
CHAPTER 8 Introduction toProbability and Statistics
8.1 Basic Counting Principle andPermutations
8.2 Combinations and OtherCounting Principles
8.3 Sample Spaces and Events
8.4 Probability
8.5 Conditional Probability andStochastic Processes
8.6 Independent Events
8.7 Bayes' Formula
Chapter 8 Review
CHAPTER 9 Additional Topics inProbability
9.1 Discrete Random Variables andExpected Value
9.2 The Binomial Distribution
9.3 Markov Chains
Chapter 9 Review
PART III CALCULUS
CHAPTER 10 Limits and Continuity
10.1 Limits
10.2 Limits (Continued)
10.3 Continuity
10.4 Continuity Applied toInequalities
Chapter 10 Review
CHAPTER 11 Differentiation
11.1 The Derivative
11.2 Rules for Differentiation
11.3 The Derivative as a Rate ofChange
11.4 The Product Rule and theQuotient Rule
11.5 The Chain Rule
Chapter 11 Review
CHAPTER 12 AdditionalDifferentiation Topics
12.1 Derivatives of LogarithmicFunctions
12.2 Derivatives of ExponentialFunctions
12.3 Elasticity of Demand
12.4 Implicit Differentiation
12.5 Logarithmic Differentiation
12.6 Newton's Method
12.7 Higher-Order Derivatives
Chapter 12 Review
CHAPTER 13 Curve Sketching
13.1 Relative Extrema
13.2 Absolute Extrema on a ClosedInterval
13.3 Concavity
13.4 The Second-Derivative Test
13.5 Asymptotes
13.6 Applied Maxima and Minima
Chapter 13 Review
CHAPTER 14 Integration
14.1 Differentials
14.2 The Indefinite Integral
14.3 Integration with InitialConditions
14.4 More Integration Formulas
14.5 Techniques of Integration
14.6 The Definite Integral
14.7 The Fundamental Theorem ofCalculus
Chapter 14 Review
CHAPTER 15 Applications ofIntegration
15.1 Integration by Tables
15.2 Approximate Integration
15.3 Area Between Curves
15.4 Consumers' and Producers'Surplus
15.5 Average Value of a Function
15.6 Differential Equations
15.7 More Applications ofDifferential Equations
15.8 Improper Integrals
Chapter 15 Review
CHAPTER 16 Continuous RandomVariables
16.1 Continuous Random Variables
16.2 The Normal Distribution
16.3 The Normal Approximation tothe Binomial Distribution
Chapter 16 Review
CHAPTER 17 Multivariable Calculus
17.1 Partial Derivatives
17.2 Applications of PartialDerivatives
17.3 Higher-Order Partial Derivatives
17.4 Maxima and Minima forFunctions of Two Variables
17.5 Lagrange Multipliers
17.6 Multiple Integrals
Chapter 17 Review
APPENDIX A Compound InterestTables
APPENDIX B Table of SelectedIntegrals
APPENDIX C Areas Under theStandard Normal Curve