Precalculus : Functions and Graphs

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 12/30/2007
  • Publisher: Pearson
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Making the transition to calculus means being prepared to grasp bigger and more complex mathematical concepts.Precalculus: Functions andGraphsis designed to make this transition seamless, by focusing now on all the skills that you will need in the future. The foundation for success begins with preparation andPrecalculus: Functions and Graphswill help you succeed in this course and beyond.

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

Equations, Inequalities, and Modeling
Equations in One Variable
Constructing Models to Solve Problems
Equations and Graphs in Two Variables
Linear Equations in Two Variables
Scatter Diagrams and Curve Fitting
Complex Numbers
Quadratic Equations
Linear and Absolute Value Inequalities
Functions and Graphs
Graphs of Relations and Functions
Families of Functions, Transformations, and Symmetry
Operations with Functions
Inverse Functions
Constructing Functions with Variation
Polynomial and Rational Functions
Quadratic Functions and Inequalities
Zeros of Polynomial Functions
The Theory of Equations
Miscellaneous Equations
Graphs of Polynomial Functions
Rational Functions and Inequalities
Exponential and Logarithmic Functions
Exponential Functions and Their Applications
Logarithmic Functions and Their Applications
Rules of Logarithms
More Equations and Applications
The 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
Trigonometric Identities and Conditional Equations
Basic Identities
Verifying Identities
Sum and Difference Identities
Double-Angle and Half-Angle Identities
Product and Sum Identities
Conditional Trigonometric Equations
Applications of Trigonometry
The Law of Sines
The Law of Cosines
Trigonometric Form of Complex Numbers
Powers and Roots of Complex Numbers
Polar Equations
Parametric Equations
Systems of Equations and Inequalities
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Three Variables
Nonlinear Systems of Equations
Partial Fractions
Inequalities and Systems of Inequalities in Two Variables
The Linear Programming Model
Matrices and Determinants
Solving Linear Systems Using Matrices
Operations with Matrices
Multiplication of Matrices
Inverses of Matrices
Solution of Linear Systems in Two Variables Using Determinants
Solution of Linear Systems in Three Variables Using Determinants
The Conic Sections
The Parabola
The Ellipse and the Circle
The Hyperbola
Rotation of Axes
Polar Equations of the Conics
Sequences, Series, and Probability
Geometric Sequences and Series
Counting and Permutations
Combinations, Labeling, and the Binomial Theorem
Mathematical Induction
Appendix: Basic Algebra Review
Real Numbers and Their Properties
Exponents and Radicals
Factoring Polynomials
Rational Expressions
Table of Contents provided by Publisher. All Rights Reserved.

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