Fundamentals of Precalculus

by Dugopolski, Mark

• ISBN13: 9780321506979
• ISBN10: 0321506979
• Edition: 2nd
• Format: Hardcover
• Copyright: 2008-01-23
• Publisher: Pearson

Summary

Fundamentals of Precalculusis designed to review the fundamental topics that are necessary for success in calculus. Containing only five chapters, this text contains the rigor essential for building a strong foundation of mathematical skills and concepts, and at the same time supports studentsrs" mathematical needs with a number of tools newly developed for this revision. A student who is well acquainted with the material in this text will have the necessary skills, understanding, and insights required to succeed in calculus.

Author Biography

Mark Dugopolski was born in Menominee, Michigan. After receiving a B.S. from Michigan State University, he taught high school for four years, and then went on to receive an M.S. in mathematics from Northern Illinois University. He also received a Ph.D. in the area of topology from the University of Illinois at Champaign-Urbana. Mark has been teaching at Southeastern Louisiana in Hammond, LA, ever since. Mark has been writing textbooks for about fifteen years. He is married and has two daughters, and enjoys playing tennis, jogging, and riding his bicycle in his spare time.

Table of Contents

Graphs and Functions

Real Numbers and Their Properties

Linear and Absolute Value Inequalities

Equations and Graphs in Two Variables

Linear Equations in Two Variables

Functions

Graphs of Relations and Functions

Families of Functions, Transformations, and Symmetry

Operations with Functions

Inverse Functions

Polynomial and Rational Functions

Quadratic Functions and Inequalities

Complex Numbers

Zeros of Polynomial Functions

The Theory of Equations

Miscellaneous Equations

Graphs of Polynomial Functions

Rational Functions and Inequalities

Trigonometric Functions

Angles and Their Measurements

The Sine and Cosine Functions

The Graphs of the Sine and Cosine Functions

The Other Trigonometric Functions and Their Graphs

The Inverse Trigonometric Functions

Right Triangle Trigonometry

Identities

Conditional Trigonometric Identities

The Law of Sines and the Law of Cosines

Exponential and Logarithmic Functions

Exponential Functions and Their Applications

Logarithmic Functions and Their Applications

Rules of Logarithms

More Equations and Applications

Conic Sections, Polar Coordinates, and Parametric Equations

The Parabola

The Ellipse and the Circle

The Hyperbola

Polar Coordinates

Polar Equations of the Conics

Parametric Equations

Basic Algebra Review

Exponents and Radicals

Polynomials

Factoring Polynomials

Rational Expressions

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