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Precalculus,9780321528841

Precalculus

by ; ;
Edition:
4th
ISBN13:

9780321528841

ISBN10:
0321528840
Format:
Hardcover
Pub. Date:
1/30/2008
Publisher(s):
Pearson
List Price: $198.66

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Summary

Over the years, the text has been shaped and adapted to meet the changing needs of both students and educators. As always, special care was taken to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises and helpful features. The result is an easy-to-use, comprehensive text that is the best edition yet.

Author Biography

Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.


When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and ten years of writing mathematics textbooks, both of his goals have been realized. His love for teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum.

John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.


David Schneider has taught mathematics at universities for over 34 years and has authored 36 books. He has an undergraduate degree in mathematics from Oberlin College and a PhD in mathematics from MIT. During most of his professional career, he was on the faculty of the University of Maryland at College Park. His hobbies include travel, dancing, bicycling, and hiking.

Table of Contents

R. Review of Basic Concepts
Sets
Real Numbers and Their Properties
Polynomials
Factoring Polynomials
Rational Expressions
Rational Exponents
Radical Expressions
Equations and Inequalities
Linear Equations
Applications and Modeling with Linear Equations
Complex Numbers
Quadratic Equations
Applications and Modeling with Quadratic Equations
Other Types of Equations and Applications
Inequalities
Absolute Value Equations and Inequalities
Graphs and Functions
Rectangular Coordinates and Graphs
Circles
Functions
Linear Functions
Equations of Lines
Curve Fitting
Graphs of Basic Functions
Graphing Techniques
Function Operations and Composition
Polynomial and Rational Functions
Quadratic Functions and Models
Synthetic Division
Zeros of Polynomial Functions
Polynomial Functions: Graphs, Applications, and Models
Rational Functions: Graphs, Applications, and Models
Variation
Inverse, Exponential, and Logarithmic Functions
Inverse Functions
Exponential Functions
Logarithmic Functions
Evaluating Logarithms and the Change-of-Base Theorem
Exponential and Logarithmic Equations
Applications and Models of Exponential Growth and Decay
Trigonometric Functions
Angles
Trigonometric Functions
Evaluating Trigonometric Functions
Solving Right Triangles
The Circular Functions and Their Graphs
Radian Measure
The Unit Circle and Circular Functions
Graphs of the Sine and Cosine Functions
Translations of the Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions
Harmonic Motion
Trigonometric Identities and Equations
Fundamental Identities
Verifying Trigonometric Identities
Sum and Difference Identities
Double-Angle and Half-Angle Identities
Inverse Circular Functions
Trigonometric Equations
Equations Involving Inverse Trigonometric Functions
Applications of Trigonometry
The Law of Sines
The Law of Cosines
Vectors, Operations, and the Dot Product
Applications of Vectors
Trigonometric (Polar) Form of Complex Numbers
Products and Quotients
DeMoivre's Theorem
Powers and Roots of Complex Numbers
Polar Equations and Graphs
Parametric Equations, Graphs, and Applications
Systems and Matrices
Systems of Linear Equations
Matrix Solution of Linear Systems
Determinant Solution of Linear Systems
Partial Fractions
Nonlinear Systems of Equations
Systems of Inequalities and Linear Programming
Properties of Matrices
Matrix Inverses
Analytic Geometry
Parabolas
Ellipses
Hyperbolas
Summary of the Conic Sections
Further Topics in Algebra
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Mathematical Induction
Counting Theory
Basics of Probability
Polar Form of Conic Sections
Rotation of Axes
Geometry Formulas
Glossary
Solutions to Selected Exercises
Answers to Selected Exercises
Index of Applications
Index
Table of Contents provided by Publisher. All Rights Reserved.


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