Intermediate Algebra, 2/e
K. Elayn Martin-Gay, University of New Orleans, Lakefront
Published December, 1996 by Prentice Hall Engineering/Science/Mathematics
Copyright 1997, 760 pp.
Sign up for future
mailings on this subject.
See other books about:
This text provides a solid foundation in algebra with the exceptional
pedagogy, clear and well-constructed writing style, superb problem-solving
strategies, and other qualities that have made the Martin-Gay series
so successful. The Second Edition features a greater incorporation
of AMATYC and NCTM standardsreflected in an increased emphasis
on visualization and graphing, carefully revised problems, and more
data analysis. Also featured are current, relevant and realistic applications
of math and its function in the world today.
Treatment of graphing and scientific calculators is
integrated in separate boxes and noted in exercise sets (one icon
for graphing calculators, another for scientific). Instructors can
pick and choose when and how they want to integrate technology into
- Writing style is clear and direct.
- Many clear explanations are provided.
- Pedagogy is ample and accessible.
Mental Math boxes ask students to employ analytical
skills and solve problems intuitively. They can be incorporated as
in-class oral exercises or as preludes to exercise sets.
Definitions are clearly explained, both visually (definitions
are summarized and highlighted by color) and by worked example. Ideal
for visual learners, and/or for those who learn best by example.
Conceptual Exercises, identified by an icon, ask students
to verbalize solutions, increasing students' writing in mathematics
Cumulative Reviews in every chapter include worked
examples from previous chapters. Students can find the answers in
an appendix, as well as a reference to where the problem first appeared
so that a complete solution is available.
- Also help develop pattern recognition.
Geometry concepts and applications are incorporated
- Similar Skill Reviews are featured at the end of
NEWUnique chapter openers feature vignettes
and related photographs demonstrating real-life applications of mathematics.
Vignettes are summarized at ends of chapters with boxes stressing
problem- solving and critical thinking skills.
Group Activities at the end of chapters emphasize
critical thinking and problem solving.
- Can be used as collaborative activities.
NEWA six-step problem-solving framework is
woven consistently throughout. Students are asked to:
NEWAn increased emphasis on data interpretation;
real data is integrated throughout. With the emphasis on interpreting
data via graphs, students reinforce what they've learned visually
and see math's tangibility.
- 1) Understand
- 2) Assign
- 3) Illustrate
- 4) Translate into a model (equation)
- 5) Complete
- 6) Interpreta variety of realistic problems.
NEWBasic concepts of functions are introduced
early and intuitively. Students are gently eased into the concept
of a function in Chapter 3, the concept of function is revisited as
appropriate throughout the text.
NEWExercise sets have been carefully reviewed
and revised to include more real data. The sets are graded in level
of difficulty, and feature more conceptual and current data from environmental
science, allied health, astronomy, business and other disciplines.
NEWReminders (formerly Helpful Hints) alert
students to trouble areas and provide encouragement and suggestions
to avoid common errors.
- USA Today and other well-known sources are used.
(NOTE: Each chapter ends with highlights, review, test
and cumulative review.)
1. Real Numbers and Algebraic Expressions.
Algebraic Expressions and Sets of Numbers. Properties of
Real Numbers. Operations on Real Numbers. Order of Operations and
2. Equations, Inequalities and Problem Solving.
Linear Equations in One Variable. An Introduction to Problem
Solving. Formulas and Problem Solving. Linear Inequalities and Problem
Solving. Compound Inequalities. Absolute Value Equations. Absolute
3. Graphs and Functions.
Graphing Equations. Introduction to Functions. Graphing
Linear Functions. The Slope of a Line. Equations of Lines. Graphing
4. Systems of Equations.
Solving Systems of Linear Equations in Two Variables. Solving
Systems of Linear Equations in Three Variables. Systems of Linear
Equations and Problem Solving. Solving Systems of Equations by Matrices.
Solving Systems of Equations by Determinants.
5. Exponents, Polynomials, and Polynomial Functions.
Exponents and Scientific Notation. More Work with Exponents
and Scientific Notation. Polynomials and Polynomial Functions. Multiplying
Polynomials. The Greatest Common Factor and Factoring by Grouping.
Factoring Trinomials. Factoring by Special Products and Factoring
Strategies. Solving Equations by Factoring and Problem Solving. An
Introduction to Graphing Polynomial Functions.
6. Rational Expressions.
Rational Functions and Simplifying Rational Expressions.
Multiplying and Dividing Rational Expressions. Adding and Subtracting
Rational Expressions. Simplifying Complex Fractions. Dividing Polynomials.
Synthetic Division and the Remainder Theorem. Solving Equations Containing
Rational Expressions. Rational Equations and Problem Solving. Variation
and Problem Solving.
7. Rational Exponents, Radicals, and Complex Numbers.
Rational and Radical Functions. Rational Exponents. Simplifying
Radicals Expressions. Adding, Subtracting, and Multiplying Radicals.
Rationalizing Numerators and Denominators of Radical Expressions.
Radical Equations and Problem Solving. Complex Numbers.
8. Quadratic Equations and Functions.
Solving Quadratic Equations by Completing the Square. Solving
Quadratic Equations by the Quadratic Formula. Solving Equations by
Using Quadratic Methods. Nonlinear Inequalities in One Variable. Quadratic
Functions and Their Graphs. Further Graphing of Quadratic Functions.
9. Conic Sections.
The Parabola and the Circle. The Ellipse and the Hyperbola.
Solving Nonlinear Systems of Equations. Nonlinear Inequalities and
Systems of Inequalities.
10. Exponential and Logarithmic Functions.
Exponential Functions. Composite and Inverse Functions.
Logarithmic Functions. Properties of Logarithms. Common Logarithms,
Natural Logarithms, and Change of Base. Exponential and Logarithmic
Equations and Applications.
11. Sequences, Series and the Binomial Theorem.
Sequences. Arithmetic and Geometric Sequences. Series. Partial
Sums of Arithmetic and Geometric Sequences. The Binomial Theorem.
A. Operations on Decimals. B. Reviews of Angles, Lines and
Special Triangles. C. Review of Geometric Figures. D. Table of Squares
and Square Roots. E. Intro Graphing and Calculators. F. Answers to