College Algebra: Visualizing and Determining Solutions

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9780395818565: College Algebra: Visualizing and Determining Solutions

This entry text is designed to follow either the combined algebra or individual elementary and intermediate algebra texts. College Algebra follows a logical "see first, then do" progression. To reinforce the concept that graphical approaches are used most effectively along with algebraic approaches, the authors present an example first under the heading Visualizing the Solution. This shows students how to depict the problem using a graphing calculator and then estimate its solution. The text then presents an algebraic solution, called Determining the Solution.

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Preamble: Getting Started with the Graphing Calculator R. Basic Concepts Revisited R.1 The Real Numbers R.2 Expressions and Exponents R.3 Polynomials R.4 Factoring R.5 Rational Expressions R.6 Radicals and Rational Exponents 1. Equations and Inequalities 1.1 Coordinate Systems and the Graphing Calculator 1.2 Linear Equations 1.3 Inequalities 1.4 Quadratic Equations and Inequalities 1.5 Rational and Radical Equations 2. Basic Functions and Graphs 2.1 Relations and Functions 2.2 Linear Functions 2.3 Linear Regression Models 2.4 Topics in Analytic Geometry 2.5 Quadratic Functions 2.6 Quadratic Regression Models 2.7 Graphs of Basic Functions 2.8 Transformations 3. Polynomial and Rational Functions 3.1 Polynomial Functions 3.2 The Remainder and Factor Theorems 3.3 Rational Functions 3.4 Complex Numbers 3.5 Fundamental Theorem of Algebra 4. Exponential and Logarithmic Functions 4.1 Operations with Functions 4.2 Inverse Functions 4.3 Exponential Functions 4.4 Logarithmic Functions 4.5 Properties of Logarithms 4.6 Exponential and Logarithmic Equations 4.7 Exponential and Logarithmic Models 5. Systems of Equations and Inequalities 5.1 Graphing and Algebraic Methods 5.2 Systems of Equations in Three Variables 5.3 Matrices and Systems of Equations 5.4 Matrix Operations 5.5 Inverse of a Matrix 5.6 Systems of Inequalities and Linear Programming 6. Sequences, Series, Probability 6.1 Sequences and Series 6.2 Arithmetic Sequences and Series 6.3 Geometric Sequences and Series 6.4 Permutations and Combinations 6.5 Probability 6.6 The Binomial Theorem Appendix A. Conic Sections B. Calculator Guide for the TI-83 Plus C. Calculator Programs

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