Elementary and Intermediate Algebra
McGraw-Hill Publishing Co.
9780072504989 (ISBN)
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With a strong emphasis on mathematics of the real world, this text unites the concepts of elementary algebra and intermediate algebra in one volume. A midtext diagnostic review contains exercises based on the material contained in the first half of the text. These exercises are organized by chapter so that students can identify any chapters that need further review.
Mark Dugopolski was born and raised in Menominee, Michigan. He received a degree in mathematics education from Michigan State University and then taught high school mathematics in the Chicago area. While teaching high school, he received a master's degree in mathematics from Northern Illinois University. He then entered a doctoral program in mathematics at the University of Illinois in Champaign, where he earned his doctorate in topology in 1977. He was then appointed to the faculty at Southeastern Louisiana University, where he now holds the position of professor of mathematics. He has taught high school and college mathematics for over 30 years. He is a member of the MAA, the AMS, and the AMATYC. He has written many articles and mathematics textbooks. He has a wife and two daughters. When he is not working, he enjoys hiking, bicycling, jogging, tennis, fishing, and motorcycling.
1 Real Numbers and Their Properties 1.1 The Real Numbers 1.2 Fractions 1.3 Addition and Subtraction of Real Numbers 1.4 Multiplication and Division of Real Numbers 1.5 Exponential Expressions and the Order of Operations 1.6 Algebraic Expressions 1.7 Properties of the Real Numbers 1.8 Using the Properties to Simplify Expressions 2 Linear Equations in One Variable 2.1 The Addition and Multiplication Properties of Equality 2.2 Solving General Linear Equations 2.3 Identities, Conditional Equations, and Inconsistent Equations 2.4 Formulas 2.5 Translating Verbal Expressions into Algebraic Expressions 2.6 Number, Geometric, and Uniform Motion Applications 2.7 Discount, Investment, and Mixture Applications 3 Inequalities in One Variable 3.1 Inequalities 3.2 Compound Inequalities 3.3 Absolute Value Equations and Inequalities 4 Linear Equations in Two Variables and Their Graphs 4.1 Graphing Lines in the Coordinate Plane 4.2 Slope 4.3 Equations of Lines in Slope-Intercept and Standard Form 4.4 The Point-Slope Form 4.5 Applications of Linear Equations 4.6 Introduction to Functions 5 Polynomials and Exponents 5.1 Addition and Subtraction of Polynomials 5.2 Multiplication of Polynomials 5.3 Multiplication of Binomials 5.4 Special Products 5.5 Division of Polynomials 5.6 Positive Integral Exponents 5.7 Negative Exponents and Scientific Notation 6 Factoring 6.1 Factoring Out Common Factors 6.2 Factoring the Special Products and Factoring by Grouping 6.3 Factoring ax2+bx+c with a=1 6.4 Factoring ax2+bx+c with a not=1 6.5 The Factoring Strategy 6.6 Solving Quadratic Equations by Factoring 7 Rational Expressions 7.1 Reducing Rational Expressions 7.2 Multiplication and Division 7.3 Finding the Least Common Denominator 7.4 Addition and Subtraction 7.5 Complex Fractions 7.6 Solving Equations with Rational Expressions 7.7 Applications of Ratios and Proportions 7.8 Applications of Rational Expressions Midtext Diagnostic Review 8 Systems of Linear Equations 8.1 Solving Systems by Graphing and Substitution 8.2 The Addition Method 8.3 Systems of Linear Equations in Three Variables 8.4 Solving Linear Systems Using Matrices 8.5 Determinants and Cramer's Rule 8.6 Graphing Linear Inequalities in Two Variables 8.7 Graphing Systems of Linear Inequalities 8.8 Linear Programming 9 Radicals and Rational Exponents 9.1 Radicals 9.2 Rational Exponents 9.3 Operations with Radicals 9.4 More Operations with Radicals 9.5 Solving Equations with Radicals and Exponents 9.6 Complex Numbers 10 Quadratic Equations, Functions, and Inequalities 10.1 Factoring and Completing the Square 10.2 The Quadratic Formula 10.3 Quadratic Functions and Their Graphs 10.4 More on Quadratic Equations 10.5 Quadratic and Rational Inequalities 11 Functions 11.1 Graphs of Functions and Relations 11.2 Transformations of Graphs 11.3 Combining Functions 11.4 Inverse Functions 11.5 Variation 11.6 Synthetic Division and the Factor Theorem 12 Exponential and Logarithmic Functions 12.1 Exponential Functions and Their Applications 12.2 Logarithmic Functions and Their Applications 12.3 Properties of Logarithms 12.4 Solving Equations and Applications 13 Nonlinear Systems and the Conic Sections 13.1 Nonlinear Systems of Equations 13.2 The Parabola 13.3 The Circle 13.4 The Ellipse and Hyperbola 13.5 Second-Degree Inequalities 14 Sequences and Series 14.1 Sequences 14.2 Series 14.3 Arithmetic Sequences and Series 14.4 Geometric Sequences and Series 14.5 Binomial Expansions Appendix A Geometry Review Appendix B Table of Squares and Square Roots Appendix C Common Logarithms Appendix D Answers to Selected Exercises
| Erscheint lt. Verlag | 1.12.2001 |
|---|---|
| Verlagsort | London |
| Sprache | englisch |
| Maße | 208 x 261 mm |
| Gewicht | 1814 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-13 | 9780072504989 / 9780072504989 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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