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College Algebra Understanding Functions, a Graphing Approach

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ISBN-10: 0534423272

ISBN-13: 9780534423278

Edition: 2004

Authors: Arthur Goodman, Lewis Hirsch

List price: $296.95
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These experienced authors have been praised for their in-depth explanations and their commitment to avoiding a cookbook approach. Their text addresses three critical issues in teaching college algebra: poor student preparation, the need for thoughtful integration of the graphing calculator, and poor student study skills. Their texts have a strong reputation built on mathematically sound presentation, excellent applications, and on challenging students to develop algebraic, graphical, and verbal mathematical skills. Goodman and Hirsch help students go beyond the mechanics of mathematics to developing a coherent strategy to solving problems.
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Book details

List price: $296.95
Copyright year: 2004
Publisher: Brooks/Cole
Publication date: 11/19/2003
Binding: Hardcover
Pages: 864
Size: 8.25" wide x 10.50" long x 1.25" tall
Weight: 3.388
Language: English

Dr. Arthur Goodman (Ph.D., Yeshiva University) currently teaches in the mathematics department at Queens College of the City University of New York. Dr. Goodman takes great pride in the mathematical accuracy and in depth explanation in all of his textbooks.

Lewis Hirsch (Ph.D., Pennsylvania State University) currently teaches in the mathematics department at Rutgers University. Both are very successful developmental mathematics authors.

Algebra: The Fundamentals
The Real Numbers
Operations with Real Numbers
Polynomials
Rational Expressions
Exponents and Radicals
The Complex Numbers
Chapter Summary
Review Exercises
Practice Test
Equations and Inequalities
First-Degree Equations and Inequalities in One Variable
Absolute Value Equations and Inequalities
Quadratic Equations
Radical Equations: Equations Reducible to Quadratic Form
Quadratic and Rational Inequalities
Substitution
Chapter Summary
Review Exercises
Practice Test
Functions and graphs:
The Cartesian Coordinate System: Graphing Straight Lines Functions and Circles
Slope
Equations of a Line
Relations and Functions
Function Notation
Relating Equations to Their Graphs
Introduction to Graph Sketching: Symmetry
Chapter Summary
Review Exercises
Practice Test
Functions And Graphs:
Basic Graphing Principles
More Graphing Principles: Types of Functions
Extracting Functions from Real-Life Situations
Quadratic Functions
Operations on Functions
Inverse Functions
Chapter Summary
Review Exercises
Practice Test
Polynomial, Rational And Radical Functions
Polynomial Functions
More Polynomial Functions and Mathematical Models
Polynomial Division, Roots of Polynomial Equations; The Remainder and Factor Theorems
Roots of Polynomial Equations (continued); The Rational Root Theorem and Descartes's Rule of Signs
Rational Functions
Radical Functions
Variation
Chapter Summary
Review Exercises
Practice Test
Exponential And Logarithmic Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms: Logarithmic Equations
Common and Natural Logarithms: Exponential Equations and Change of Base
Applications
Chapter Summary
Review Exercises
Practice Test
Systems Of Linear Equations And Inequalities
Elimination and Substitution: 2 X 2 Linear Systems
Elimination and Gaussian Elimination: 3 X 3 Linear Systems
Solving Linear Systems Using Augmented Matrices
The Algebra of Matrices
Solving Linear
Systems Using Matrix Inverses
Determinants and Cramer's Rule: 2 X 2 and 3 X 3 Systems
Properties of Determinants
Systems of Linear Inequalities
An Introduction to Linear Programming: Geometric Solutions
Chapter Summary
Review Exercises
Practice Test
Conic Sections And Nonlinear Systems
Conic Sections: Circles
The Parabola
The Ellipse
The Hyperbola
Identifying Conic Sections: Degenerate Forms
Nonlinear Systems of Equations and Inequalities
Chapter Summary
Review Exercises
Practice Test
Sequence, Series And Related Topics
Sequences
Series and Sigma Notation
Arithmetic Sequences and Series
Geometric Sequences and Series
Mathematical Induction
Permutations and Combinations
Probability
The Binomial Theorem
Chapter Summary
Review Exercises
Practice Test