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Intermediate Algebra

Buch | Hardcover
738 Seiten
2000 | 8th edition
Pearson (Verlag)
978-0-321-03646-9 (ISBN)
105,80 inkl. MwSt
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Continuing their 30-year tradition of excellence, this revision of Lial/Hornsby Intermediate Algebra features the best possible text and supplements package using the most up-to-date strategies to help students succeed. One such strategy, evident in the new table of contents and consistent with current teaching practices, involves the early introduction of graphing lines in a rectangular coordinate system and functions. This organization provides students with increased exposure to basic graphing and function concepts, an integral part of later mathematics courses, throughout their study of intermediate algebra. It also allows the integration of interesting applications featuring real world data in the form of ordered pairs, tables, graphs, and equations. As a natural follow-up to the treatment of linear equations in Chapter 3, systems of linear equations are now presented in Chapter 4. Also consistent with this approach, graphs of quadratic equations are included earlier in the text when quadratic equations are solved rather than with the material on conic sections as in previous editions. The chapter on exponential and logarithmic functions appears earlier as well.

If you choose not to cover graphing linear equations and functions earlier as the new edition suggests, you can defer Chapters 3 and 4 and cover them later after either Chapter 6 or 7. Section 5.3 and the material on graphing and functions in Sections 6.1, 6.4, 6.6, and 7.5 can easily be delayed or omitted.

(Each chapter is followed by a Group Activity, Chapter Summary, Chapter Review Exercises, Chapter Test, and Cumulative Review Exercises (except Chapter 1.) The industry listed in the parentheses is the industry theme for that chapter.)

1. Review of the Real Number System. (Economics)


Basic Terms.



Operations on Real Numbers.



Properties of Real Numbers.



2. Linear Equations and Inequalities in One Variable. (Entertainment)


Linear Equations in One Variable.



Formulas.



Applications of Linear Equations.



More Applications of Linear Equations.



Linear Inequalities in One Variable.



Set Operations and Compound Inequalities.



Absolute Value Equations and Inequalities.



Summary: Exercises on Solving Linear and Absolute Value Equations and Inequalities.



3. Graphs, Linear Equations, and Functions. (Energy)


The Rectangular Coordinate System.



The Slope of a Line.



Linear Equations in Two Variables.



Linear Inequalities in Two Variables.



An Introduction to Functions.



Variation.



4. Systems of Linear Equations. (Sports)


Linear Systems of Equations in Two Variables.



Linear Systems of Equations in Three Variables.



Applications of Linear Systems of Equations.



Solving Linear Systems of Equations by Matrix Methods.



Determinants and Cramer's Rule.



5. Exponents and Polynomials. (Health Care)


Integer Exponents and Scientific Notation.



Addition and Subtraction of Polynomials.



Polynomial Functions.



Multiplication of Polynomials.



Greatest Common Factors; Factoring by Grouping.



Factoring Trinomials.



Special Factoring.



General Methods of Factoring.



Solving Equations by Factoring.



6. Rational Expressions. (Transportation)


Rational Expressions and Functions; Multiplication and Division.



Addition and Subtraction of Rational Expressions.



Complex Fractions.



Division of Polynomials.



Synthetic Division.



Graphs and Equations with Rational Expressions.



Summary: Exercises on Operations and Equations with Rational Expressions.



Applications of Rational Expressions.



7. Roots and Radicals. (Electronics)


Rational Exponents and Radicals.



Simplifying Radical Expressions.



Addition and Subtraction of Radical Expressions.



Multiplication and Division of Radical Expressions.



Graphs and Equations with Radical Expressions.



Complex Numbers.



8. Quadratic Equations, and Inequalities. (Astronomy)


Completing the Square.



The Quadratic Formula.



Equations Quadratic in Form.



Formulas and Applications.



Graphs of Quadratic Functions.



More about Parabolas; Applications.



Nonlinear Inequalities.



9. Inverse, Exponential, and Logarithmic Functions. (Environment)


Inverse Functions.



Exponential Functions.



Logarithmic Functions.



Properties of Logarithms.



Evaluating Logarithms.



Exponential and Logarithmic Equations; Applications.



10. Conic Sections. (Aerospace)


The Circle and Ellipse.



The Hyperbola; More Square Root Functions.



Nonlinear Systems of Equations.



Second-Degree Inequalities; Systems of Inequalities.



11. Sequences and Series. (Banking and Finance)


Sequences and Series.



Arithmetic Sequences.



Geometric Sequences.



The Binomial Theorem.



Answers to Selected Exercises.


Index.


Index of Applications.

Erscheint lt. Verlag 25.5.2000
Sprache englisch
Maße 210 x 261 mm
Gewicht 1686 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-321-03646-8 / 0321036468
ISBN-13 978-0-321-03646-9 / 9780321036469
Zustand Neuware
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