Precalculus - Understanding Functions A Graphing Approach

Name: Precalculus - Understanding Functions A Graphing Approach
Price: 6.75 USD
Availability: InStock
ISBN: 9780534386351

ISBN-10: 0534386350

ISBN-13: 9780534386351

Edition: 2nd 2004 (Revised)

Authors: Arthur Goodman, Lewis R. Hirsch

List price: $318.95

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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 precalculus: 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.

Book details

List price: $318.95
Edition: 2nd
Copyright year: 2004
Publisher: Brooks/Cole
Publication date: 10/17/2003
Binding: Hardcover
Pages: 975
Size: 8.50" wide x 9.75" long x 1.50" tall
Weight: 4.048
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. Dr. Hirsch teaches both developmental mathematics and higher level courses such as college algebra and pre-calculus. His experiences in the classroom make him committed to properly preparing students in lower-level courses so they can succeed in for credit courses, and this is reflected in the way he writes his textbooks.



Preface



Algebra: The Fundamentals



The Real Numbers


Different Perspectives: Inequalities



Operations with Real Numbers



Polynomials and Rational Expressions



Exponents and Radicals



The Complex Numbers



First-Degree Equations and Inequalities in One Variable



Absolute Value Equations and Inequalities


Different Perspectives: Absolute Value Equations and Inequalities



Quadratic Equations and Equations in Quadratic Form



Quadratic and Rational Inequalities



Substitution


Review Exercises


Practice Test



Functions and Graphs: Part I



The Cartesian Coordinate System: Graphing Straight Lines and Circles


Different Perspectives: The Graph of an Equation


Different Perspectives: Intercepts



Slope



Equations of a Line


Technology Corner



Relations and Functions


Different Perspectives: Representing Relations


Different Perspectives: Functions



Function Notation


Different Perspectives: Function Notation



Relating Functions to Their Graphs


Different Perspectives: Solving f(x) = k


Different Perspectives: The Zeros of a Function


Different Perspectives: Solving Inequalities



Introduction to Graph Sketching: Symmetry


Different Perspectives: Symmetry


Summary


Review Exercises


Practice Test



Functions and Graphs: Part II



Basic Graphing Principles


Different Perspectives: The Vertical Shift Principle


Different Perspectives: The Horizontal Shift Principle


Technology Corner



More Graphing Principles: Types of Functions



Extracting Functions from Real-Life Situations



Quadratic Functions



Operations on Functions


Technology Corner



Inverse Functions


Different Perspectives: One-to-One Functions


Summary


Review Exercises


Practice Test



Polynomial, Rational, and Radical Functions



Polynomial Functions


Different Perspectives: End Behavior



More on 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' Rule of Signs



Rational Functions



Radical Functions



Variation


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


Summary


Review Exercises


Practice Test


Interim Review 1 (Chapters 1-5)



Trigonometry



Angle Measurement and Two Special Triangles


Technology Corner



The Trigonometric Functions



Right-Triangle Trigonometry and Applications



The Trigonometric Functions as Functions of Real Numbers


Summary


Review Exercises


Practice Test



The Trigonometric Functions



The Sine and Cosine Functions and Their Graphs



The Tangent, Secant, Cosecant, and Cotangent Functions



Basic Identities



Trigonometric Equations


Different Perspectives: Trigonometric Equations



The Inverse Trigonometric Functions


Summary


Review Exercises


Practice Test



More Trigonometry and Its Applications



The Addition Formulas



The Double-Angle and Half-Angle Formulas



The Law of Sines and the Law of Cosines



Vectors



The Trigonometric Form of Complex Numbers and DeMoivre's Theorem



Polar Coordinates


Summary


Review Exercises


Practice Test


Interim Review 2 (Chapters 6-8)



Systems of Linear Equations and Inequalities



2 x 2 Linear Systems: Elimination and Substitution



3 x 3 Linear Systems: Elimination and Gaussian Elimination



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


Summary


Review Exercises


Practice Test



Conic Sections and Nonlinear Systems



Conic Sections: Circles



The Parabola



The Ellipse


Different Perspectives: Eccentricity



The Hyperbola



Identifying Conic Sections: Degenerate Forms



Translations and Rotations of Coordinate Axes



Nonlinear Systems of Equations and Inequalities


Summary


Review Exercises


Practice Test



Sequences, Series, and Related Topics



Sequences



Series and Sigma Notation



Arithmetic Sequences and Series



Geometric Sequences and Series



Mathematical Induction



Permutations and Combinations



The Binomial Theorem


Summary


Review Exercises


Practice Test



Using Technology to Model Data


Answers to Selected Exercises


Index of Applications


Index