
Intermediate Algebra with Applications, 2/e
Linda Exley, DeKalb College Published February, 1994 by Prentice Hall Engineering/Science/Mathematics
 
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begins each chapter with “Connections” — an introductory paragraph which puts the upcoming material in context with other chapters, other disciplines, math history and the real world (pp. 52) features problem sets uniquely organized into discrete levels of understanding:
features “Let's Not Forget” problems at the end of every chapter review problem set. These exercises are cumulative and require students to recall topics covered in previous sections and chapters. (pp. 122) provides “Be Careful” annotations in the margins — to prominently point out common student errors. (pp. 110) concludes chapters with a glossary, review of key concepts, and “Checkups” — worked examples stated as problems with specific references. (pp. 119) (NOTE: Each chapter concludes with a Chapter Summary, Review Problems, and a Chapter Test.)
Sets. Properties of real numbers. Absolute value. Operations with real numbers. Angles, lines, and plane figures. Perimeter, surface area, area, and volume. 1. Integer Exponents and Polynomials. Integer exponents. Polynomial definition, evaluation, addition, and subtraction. Multiplication of polynomials. Pascal's triangle (optional). Greatest common factor and factoring by grouping. Factoring binomials and trinomials. Summary of factoring. Division of polynomials. Synthetic division (optional). 2. Using Linear Equations and Inequalities in One Variable. Solving linear equations in one variable. Literal equations and formulas. Linear inequalities in one variable. Problem solving. Liner equations as models for applications. Absolute value equations. Boundary numbers and absolute value inequalities. 3. Rational Expressions. Fundamental principle of rational expressions. Multiplication and division. Addition and subtraction. Rational equations and inequalities. Complex fractions. 4. Radicals and Exponents. Roots and radicals. Addition and subtraction of radical expressions. Multiplication of radical expressions. Division of rational expressions and rationalizing. Equations containing square roots. Rational exponents. Complex numbers. 5. Nonlinear Equations and Inequalities in One Variable. Solving quadratic equations and inequalities by factoring. Quadratic equations and inequalities as models for applications. Completing the square. The quadratic formula. Higherdegree equations and inequalities. More rational equations and inequalities. Radical equations. 6. Graphs and Functions. Cartesian coordinate system. Graph of Ax + By = C. Slope. Equations of lines. Functions. Graphs of functions. Variation. 7. Systems of Equations and Inequalities. Systems of equations in two variables. Systems as models for applications. Linear systems of equations in more than two variables. Linear inequalities in two variables. Systems of linear inequalities in two variables. Determinants and Cramer's Rule (optional). Matrix methods (optional). 8. Exponential and Logarithmic Functions. Algebra of functions. Inverse functions. Exponential functions. Logarithmic functions. Properties of logarithms. 9. Conic Sections. The circle. The parabola. The ellipse and the hyperbola. The general seconddegree equation in two variables. 10. Other Topics. Sequences. Summation notation. Factorials and binomial coefficients. The binomial theorem. Permutations and combinations. Appendix: An Introduction to the Graphing Calculator. Answers to Selected Problems. Photo Credits. Index.
