Precalculus Functions and Graphs

ISBN-10: 032150111X
ISBN-13: 9780321501110
Edition: 3rd 2009
Authors: Mark Dugopolski
List price: $198.67
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Description: Making the transition to calculus means being prepared to grasp bigger and more complex mathematical concepts.Precalculus: Functions andGraphs is designed to make this transition seamless, by focusing now on all the skills that you will need in the  More...

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Book details

List price: $198.67
Edition: 3rd
Copyright year: 2009
Publisher: Addison Wesley
Publication date: 12/30/2007
Binding: Hardcover
Pages: 992
Size: 9.00" wide x 10.25" long x 1.25" tall
Weight: 4.796
Language: English

Making the transition to calculus means being prepared to grasp bigger and more complex mathematical concepts.Precalculus: Functions andGraphs is 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.

Mark Dugopolski was born and raised in Menominee, Michigan. He received a degree in mathematics education from Michigan State University and then taught high school mathematics in the Chicago area. While teaching high school, he received a master's degree in mathematics from Northern Illinois University. He then entered a doctoral program in mathematics at the University of Illinois in Champaign, where he earned his doctorate in topology in 1977. He was then appointed to the faculty at Southeastern Louisiana University, where he now holds the position of professor of mathematics. He has taught high school and college mathematics for over 30 years. He is a member of the MAA, the AMS, and the AMATYC. He has written many articles and mathematics textbooks. He has a wife and two daughters. When he is not working, he enjoys hiking, bicycling, jogging, tennis, fishing, and motorcycling.

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
Functions
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
Vectors
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
Sequences
Series
Geometric Sequences and Series
Counting and Permutations
Combinations, Labeling, and the Binomial Theorem
Probability
Mathematical Induction
Appendix: Basic Algebra Review
Real Numbers and Their Properties
Exponents and Radicals
Polynomials
Factoring Polynomials
Rational Expressions

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