Description
By (author) Haeussler, Ernest F; By (author) Paul Richard; By (author) Wood Richard
:
This book is ideal for one- or two-semester or two- orthree-quarter courses covering topics in college algebra, finite mathematics,and calculus for students in business, economics, and the life and socialsciences. Introductory Mathematical Analysis for Business, Economics, and the Life andSocial 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 comprehensivestructure—covering college algebra in Chapters 0 through 4, finite mathematicsin Chapters 5 through 9, and calculus in Chapters 10 through 17—offersinstructors flexibility in how they use the material based on the coursethey’re teaching, the semester they’re at, or what the students’ backgroundallows and their needs dictate.
Table of contents:
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 Princip
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