Synopses & Reviews
Fundamentals of Precalculus is 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 students’ 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.
Synopsis
Fundamentals of Precalculus is designed to review the fundamental topics that are necessary for success in calculus. Containing only five chapters, this text can be covered in a one-semester or one-term course with a minimum of deleting or skipping around. A student who is well acquainted with the material in this text will have the necessary skills, understanding, and insights required in calculus.
About the Author
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
Chapter 1 Graphs and Functions
1.1 Real Numbers and Their Properties
1.2 Linear and Absolute Value Inequalities
1.3 Equations and Graphs in Two Variables
1.4 Linear Equations in Two Variables
1.5 Functions
1.6 Graphs of Relations and Functions
1.7 Families of Functions, Transformations, and Symmetry
1.8 Operations with Functions
1.9 Inverse Functions
Chapter 2 Polynomial and Rational Functions
2.1 Quadratic Functions and Inequalities
2.2 Complex Numbers
2.3 Zeros of Polynomial Functions
2.4 The Theory of Equations
2.5 Miscellaneous Equations
2.6 Graphs of Polynomial Functions
2.7 Rational Functions and Inequalities
Chapter 3 Trigonometric Functions
3.1 Angles and Their Measurements
3.2 The Sine and Cosine Functions
3.3 The Graphs of the Sine and Cosine Functions
3.4 The Other Trigonometric Functions and Their Graphs
3.5 The Inverse Trigonometric Functions
3.6 Right Triangle Trigonometry
3.7 Identities
3.8 Conditional Trigonometric Identities
3.9 The Law of Sines and the Law of Cosines
Chapter 4 Exponential and Logarithmic Functions
4.1 Exponential Functions and Their Applications
4.2 Logarithmic Functions and Their Applications
4.3 Rules of Logarithms
4.4 More Equations and Applications
Chapter 5 Conic Sections, Polar Coordinates, and Parametric Equations
5.1 The Parabola
5.2 The Ellipse and the Circle
5.3 The Hyperbola
5.4 Polar Coordinates
5.5 Polar Equations of the Conics
5.6 Parametric Equations
Appendix A Basic Algebra Review
A.1 Exponents and Radicals
A.2 Polynomials
A.3 Factoring Polynomials
A.4 Rational Expressions