This book offers a fresh approach to algebra that focuses on teaching readers how to truly understand the principles, rather than viewing them merely as tools for other forms of mathematics. It relies on a storyline to form the backbone of the chapters and make the material more engaging. Conceptual exercise sets are included to show how the information is applied in the real world. Using symbolic notation as a framework, business professionals will come away with a vastly improved skill set.
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Table of Contents
(Each chapter ends with a Summary, Review Exercises, Test, and an Internet Project.) 1. Algebraic Expressions.
Real Numbers and Their Properties.
Order and Absolute Value.
Polynomials; The Binomial Theorem.
2. Equations and Inequalities.
Linear Applications and Modeling.
Quadratic Applications and Modeling.
Other Types of Equations.
Absolute Value Equations and Inequalities.
3. Relations, Functions, and Graphs.
Relations and the Rectangular Coordinate System; Circles.
Equations of Lines; Curve Fitting.
Graphs of Relations and Functions.
General Graphing Techniques.
Operations and Composition.
4. Polynomial and Rational Functions.
Quadratic Functions; Curve Fitting.
Zeros of Polynomial Functions.
Polynomials Functions: Graphs, Applications, and Models.
Rational Functions: Graphs, Applications, and Models.
5. Exponential and Logarithmic Functions.
Evaluating Logarithms and the Change-of-Base Theorem.
Exponential and LogarithmicEquations.
Applications and Models of Exponential Growth and Decay.
6. Systems of Equations and Inequalities.
Linear Systems of Equations.
Matrix Solution of Linear Systems.
Determinant Solution of Linear Systems.
Systems of Inequalities and Linear Programming.
Properties of Matrices.
7. Analytic Geometry.
Summary of the Conic Sections.
8. Further Topics in Algebra.
Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem Revisited.
Basics of Probability.