
Algebra for College Students, 3/e
Robert Blitzer, MiamiDade Community College Published September, 1997 by Prentice Hall Engineering/Science/Mathematics
 
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NEW—Using Technology, Study Tips, and Discover for Yourself features have been added as pedagogical enrichment to encourage student success. Study Tips in particular, make mathematical content more accessible. NEW—Chapter Projects, extended onepage applications, conclude each chapter. Some activities feature related websites (available to students via the Prentice Hall/Blitzer website) for student research and exploration. NEW—Optional Graphing utility opportunities have been added in appropriate sections and exercise sets. These sections, examples and exercises feature explorations, many with real screen grabs from the TI83. NEW—Chapter Tests are included at the end of each chapter for more review and reinforcement. FEATURES An abundance of interesting and varied exercises are included (50% have been rewritten) to appeal to the modern (often nontraditional) student. The exercises, examples and writing style has been carefully and extensively reviewed and revised to better meet the level of student taking a developmental math course. Modeling is introduced in Chapter 1 and emphasized throughout. Real world sourced data, interpretation of data and visualization is fully integrated.
(NOTE: Each chapter ends with summary and review problems sections.)
The Real Numbers and the Number Line. Operations with the Real Numbers and Algebraic Expressions. Graphing Equations. Properties of Integral Exponents. Scientific Notation. Solving Linear Equations. Mathematical Models. Strategies for Solving Problems. 2. Functions, Linear Functions, and Inequalities. Introduction to Functions. Linear Functions and Slope. The PointSlope Equation of a Line. Solving Linear Inequalities. Compound Inequalities. Equations and Inequalities Involving Absolute Value. Linear Inequalities Containing Two Variables. 3. Systems of Linear Equations and Inequalities. Linear Systems of Equations in Two Variables. Problem Solving and Modeling Using Systems of Equations. Linear Systems of Equations in Three Variables. Matrix Solutions to Linear Systems. Solving Linear Systems of Equations Determinants and Cramer's Rule. Systems of Linear Inequalities and Linear Programming. 4. Polynomials, Polynomial Functions, and Factoring. Introduction to Polynomials and Polynomial Functions. Multiplication of Polynomials. Greatest Common Factors and Factoring by Grouping. Factoring Trinomials. Factoring Special Forms. A General Factoring Strategy. Polynomial Equations, Modeling, and Problem Solving. 5. Rational Expressions, Functions, and Equations. Rational Expressions and Functions: Multiplying and Dividing. Adding and Subtracting Rational Expressions. Dividing Polynomials. Rational Equations, Modeling, and Problem Solving. Modeling Using Variation. 6. Radicals, Radical Functions, and Rational Exponents. Radicals and Radical Functions. Inverse Properties of nth Powers and nth Roots; Rational Exponents. Multiplying and Simplifying Radical Expressions. Dividing and Simplifying Radical Expressions. Further Operations with Radicals. Radical Equations. Imaginary and Complex Numbers. 7. Quadratic Equations and Functions. Solving Quadratic Equations by the Square Root Method. Completing the Square and Graphs of Quadratic Functions. The Quadratic Formula. Problem Solving and Equations That Are Quadratic in Form. Solving Quadratic and Rational Inequalities. 8. Exponential and Logarithmic Functions. Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Properties of Logarithmic Functions. Solving Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. 9. Conic Sections and Nonlinear Systems of Equations. Conic Sections: Circles and Parabolas. Conic Sections: Ellipses and Hyperbolas. Nonlinear Systems of Equations. 10. Polynomial and Rational Functions. Polynomial Functions and heir Graphs. Polynomial Equations Having Rational Solutions. Rational Functions. 11. Sequences, Probability, and Mathematical Induction. Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. The Binomial Theorem. Counting Principles, Permutations, and Combinations. An Introduction to Probability. Mathematical Induction. Appendix: Review Problems Covering the Entire Book.
