When Julie Miller began writing her successful developmental math series, one of her primary goals was to bridge the gap between preparatory courses and college algebra. For thousands of students, the Miller/O'Neill/Hyde (or M/O/H) series has provided a solid foundation in developmental mathematics. With the Miller College Algebra series, Julie has carried forward her clear, concise writing style; highly effective pedagogical features; and complete author-created technological package to students in this course area. The main objectives of the college algebra series are three-fold: -Provide…mehr
When Julie Miller began writing her successful developmental math series, one of her primary goals was to bridge the gap between preparatory courses and college algebra. For thousands of students, the Miller/O'Neill/Hyde (or M/O/H) series has provided a solid foundation in developmental mathematics. With the Miller College Algebra series, Julie has carried forward her clear, concise writing style; highly effective pedagogical features; and complete author-created technological package to students in this course area. The main objectives of the college algebra series are three-fold: -Provide students with a clear and logical presentation of -the basic concepts that will prepare them for continued study in mathematics. -Help students develop logical thinking and problem-solving skills that will benefit them in all aspects of life. -Motivate students by demonstrating the significance of mathematics in their lives through practical applications.
Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers. My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I'd like to see math come alive for my students.
Inhaltsangabe
College Algebra Essentials 1e Chapter R: Review of Prerequisites Section R.1 Sets and the Real Number Line Section R.2 Models, Algebraic Expressions, and Properties of Real Numbers Section R.3 Integer Exponents and Scientific Notation Section R.4 Rational Exponents and Radicals Section R.5 Polynomials and Multiplication of Radicals Problem Recognition Exercises: Simplifying Algebraic Expressions Section R.6 Factoring Section R.7 Rational Expressions and More Operations on Radicals Chapter 1: Equations and Inequalities Section 1.1 Linear Equations and Rational Equations Section 1.2 Applications and Modeling with Linear Equations Section 1.3 Complex Numbers Section 1.4 Quadratic Equations Problem Recognition Exercises: Simplifying Expressions versus Solving Equations Section 1.5 Applications of Quadratic Equations Section 1.6 More Equations and Applications Section 1.7 Linear Inequalities and Compound Inequalities Section 1.8 Absolute Value Equations and Inequalities Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities Chapter 2: Functions and Graphs Section 2.1 The Rectangular Coordinate System and Graphing Utilities Section 2.2 Circles Section 2.3 Functions and Relations Section 2.4 Linear Equations in Two Variables and Linear Functions Section 2.5 Applications of Linear Equations and Modeling Problem Recognition Exercises: Comparing Graphs of Equations Section 2.6 Transformation of Graphs Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions Section 2.8 The Algebra of Functions Chapter 3: Polynomial and Rational Functions Section 3.1 Quadratic Functions and Applications Section 3.2 Introduction to Polynomial Functions Section 3.3 Division of Polynomials and the Remainder and Factor Theorems Section 3.4 Zeros of Polynomials Section 3.5 Rational Functions Problem Recognition Exercises: Polynomial and Rational Functions Section 3.6 Polynomial and Rational Inequalities Problem Recognition Exercises: Solving Equations and Inequalities Section 3.7 VariationChapter 4: Exponential and Logarithmic Functions Section 4.1 Inverse Functions Section 4.2 Exponential Functions Section 4.3 Logarithmic Functions Problem Recognition Exercises: Analyzing Functions Section 4.4 Properties of Logarithms Section 4.5 Exponential and Logarithmic Equations Section 4.6 Modeling with Exponential and Logarithmic Functions Chapter 5: Systems of Equations and Inequalities Section 5.1 Systems of Linear Equations in Two Variables and Applications Section 5.2 Systems of Linear Equations in Three Variables and Applications Section 5.3 Partial Fraction Decomposition Section 5.4 Systems of Nonlinear Equations in Two Variables Section 5.5 Inequalities and Systems of Inequalities in Two Variables Problem Recognition Exercises: Equations and Inequalities in Two Variables Section 5.6 Linear Programming
College Algebra Essentials 1e Chapter R: Review of Prerequisites Section R.1 Sets and the Real Number Line Section R.2 Models, Algebraic Expressions, and Properties of Real Numbers Section R.3 Integer Exponents and Scientific Notation Section R.4 Rational Exponents and Radicals Section R.5 Polynomials and Multiplication of Radicals Problem Recognition Exercises: Simplifying Algebraic Expressions Section R.6 Factoring Section R.7 Rational Expressions and More Operations on Radicals Chapter 1: Equations and Inequalities Section 1.1 Linear Equations and Rational Equations Section 1.2 Applications and Modeling with Linear Equations Section 1.3 Complex Numbers Section 1.4 Quadratic Equations Problem Recognition Exercises: Simplifying Expressions versus Solving Equations Section 1.5 Applications of Quadratic Equations Section 1.6 More Equations and Applications Section 1.7 Linear Inequalities and Compound Inequalities Section 1.8 Absolute Value Equations and Inequalities Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities Chapter 2: Functions and Graphs Section 2.1 The Rectangular Coordinate System and Graphing Utilities Section 2.2 Circles Section 2.3 Functions and Relations Section 2.4 Linear Equations in Two Variables and Linear Functions Section 2.5 Applications of Linear Equations and Modeling Problem Recognition Exercises: Comparing Graphs of Equations Section 2.6 Transformation of Graphs Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions Section 2.8 The Algebra of Functions Chapter 3: Polynomial and Rational Functions Section 3.1 Quadratic Functions and Applications Section 3.2 Introduction to Polynomial Functions Section 3.3 Division of Polynomials and the Remainder and Factor Theorems Section 3.4 Zeros of Polynomials Section 3.5 Rational Functions Problem Recognition Exercises: Polynomial and Rational Functions Section 3.6 Polynomial and Rational Inequalities Problem Recognition Exercises: Solving Equations and Inequalities Section 3.7 VariationChapter 4: Exponential and Logarithmic Functions Section 4.1 Inverse Functions Section 4.2 Exponential Functions Section 4.3 Logarithmic Functions Problem Recognition Exercises: Analyzing Functions Section 4.4 Properties of Logarithms Section 4.5 Exponential and Logarithmic Equations Section 4.6 Modeling with Exponential and Logarithmic Functions Chapter 5: Systems of Equations and Inequalities Section 5.1 Systems of Linear Equations in Two Variables and Applications Section 5.2 Systems of Linear Equations in Three Variables and Applications Section 5.3 Partial Fraction Decomposition Section 5.4 Systems of Nonlinear Equations in Two Variables Section 5.5 Inequalities and Systems of Inequalities in Two Variables Problem Recognition Exercises: Equations and Inequalities in Two Variables Section 5.6 Linear Programming
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