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The basic concepts of college algebra are presented in a simple and straightforward manner and are consistently motivated and reinforced by examples. The examples demonstrate a large variety of situations, such as: the uses of Scientific Notation, how to decide which method should be used to solve a particular Quadratic Equation, and using Logarithmic Equations to determine anything from accrued interest on an investment, to the bacteria count in a lab culture. The author also has made an effort to guide students to organize their work and to decide when a meaningful short cut might be used. Unifying themes found throughout the book, vital to the precalculus student are: solving equations and inequalities, solving problems, developing graphing techniques, and understanding the concept of a function.
Table of Contents
0 Some Basic Concepts of Algebra: A Review
1 Equations, Inequalities, and Problem Solving
2 Coordinate Geometry and Graphing Techniques
4 Exponential and Logarithmic Functions
5 Polynomial and Rational Functions
6 Systems of Equations
7 Algebra of Matrices
8 Conic Sections
9 Sequences and Mathematical Induction
10 Counting Techniques, Probability, and the Binomial Theorem