Synopses & Reviews
Dugopolski’s College Algebra, Fifth Edition gives readers the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Readers will find enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all readers will benefit from Dugopolski’s emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.
Synopsis
Providing Strategies for Success: This text provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor's Edition, instructor notes within the exercise sets, and an Insider's Guide. Students will find success through features including highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.
About the Author
Mark Dugopolski was born in Menominee, Michigan. After receiving a B.S. from Michigan State University, he taught high school in Illinois for four years. He received an M.S. in mathematics from Northern Illinois University at DeKalb. He then received a Ph.D. in the area of topology and an M.S. in statistics from the University of Illinois at Champaign-Urbana. Mark taught mathematics at Southeastern Louisiana University in Hammond for 25 years and now holds the rank of Professor Emeritus of Mathematics. He has been writing textbooks since 1988. He is married and has two daughters. In his spare time he enjoys tennis, jogging, bicycling, fishing, kayaking, gardening, bridge, and motorcycling.
Table of Contents
Chapter P Prerequisites
P.1 Real Numbers and Their Properties
P.2 Integral Exponents and Scientific Notation
P.3 Rational Exponents and Radicals
P.4 Complex Numbers
P.5 Polynomials
P.6 Factoring Polynomials
P.7 Rational Expressions
Chapter 1 Equations, Inequalities, and Modeling
1.1 Equations in One Variable
1.2 Constructing Models to Solve Problems
1.3 Equations and Graphs in Two Variables
1.4 Linear Equations in Two Variables
1.5 Scatter Diagrams and Curve Fitting
1.6 Quadratic Equations
1.7 Linear and Absolute Value and Inequalities
Chapter 2 Functions and Graphs
2.1 Functions
2.2 Graphs of Relations and Functions
2.3 Families of Functions, Transformations, and Symmetry
2.4 Operations with Functions
2.5 Inverse Functions
2.6 Constructing Functions with Variation
Chapter 3 Polynomial and Rational Functions
3.1 Quadratic Functions and Inequalities
3.2 Zeros of Polynomial Functions
3.3 The Theory of Equations
3.4 Miscellaneous Equations
3.5 Graphs of Polynomial Functions
3.6 Rational Functions and Inequalities
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 Systems of Equations and Inequalities
5.1 Systems of Linear Equations in Two Variables
5.2 Systems of Linear Equations in Three Variables
5.3 Nonlinear Systems of Equations
5.4 Partial Fractions
5.5 Inequalities and Systems of Inequalities in Two Variables
5.6 The Linear Programming Model
Chapter 6 Matrices and Determinants
6.1 Solving Linear Systems Using Matrices
6.2 Operations with Matrices
6.3 Multiplication of Matrices
6.4 Inverses of Matrices
6.5 Solution of Linear Systems in Two Variables Using Determinants
6.6 Solution of Linear Systems in Three Variables Using Determinants
Chapter 7 The Conic Sections
7.1 The Parabola
7.2 The Ellipse and the Circle
7.3 The Hyperbola
Chapter 8 Sequences, Series, and Probability
8.1 Sequences
8.2 Series
8.3 Geometric Sequences and Series
8.4 Counting and Permutations
8.5 Combinations, Labeling, and the Binomial Theorem
8.6 Probability
8.7 Mathematical Induction