Often, algebra & trigonometry students leave class believing that they understand a concept but are unable to apply that understanding when they get home and attempt their homework problems. This mainstream yet innovative text is written by an experienced professor who has identified this gap as one of the biggest challenges that algebra & trigonometry professors face. She uses a clear, voice that speaks directly to students- similar to how instructors communicate to them in class. Students learning from this text will overcome common barriers to learning algebra & trigonometry and will build confidence in their ability to do mathematics.
CHAPTER 0 PREREQUISITES AND REVIEW0.1 Real Numbers 0.2 Integer Exponents and Scientific Notation 0.3 Polynomials: Basic Operations 0.4 Factoring Polynomials 0.5 Rational Expressions 0.6 Rational Exponents and Radicals 0.7 Complex Numbers Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 1 EQUATIONS AND INEQUALITIES1.1 Linear Equations 1.2 Applications Involving Linear Equations 1.3 Quadratic Equations 1.4 Other Types of Equations 1.5 Linear Inequalities 1.6 Polynomial and Rational Inequalities 1.7 Absolute Value Equations and Inequalities Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 2 GRAPHS2.1 Basic Tools: Cartesian Plane, Distance, and Midpoint 2.2 Graphing Equations: Point-Plotting, Intercepts and Symmetry 2.3 Lines 2.4 Circles Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 3 FUNCTIONS AND THEIR GRAPHS3.1 Functions 3.2 Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change 3.3 Graphing Techniques: Transformations 3.4 Operation on Functions and Composition of Functions 3.5 One-to-One Functions and Inverse Functions 3.6 Modeling Functions Using Variation Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 4 POLYNOMIAL AND RATIONAL FUNCTIONS4.1 Quadratic Functions 4.2 Polynomial Functions of Higher Degree 4.3 Dividing Polynomials: Long Division and Synthetic Division 4.4 The Real Zeros of a Polynomial Function 4.5 Complex Zeros; The Fundamental Theorem of Algebra 4.6 Rational Functions Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS5.1 Exponential Functions and Their Graphs 5.2 Exponential Functions and Their Graphs 5.3 Properties of Logarithms 5.4 Exponential and Logarithmic Equations 5.5 Exponential and Logarithmic Models Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 6 TRIGONOMETRIC FUNCTIONS6.1 Angles, Degrees and Triangles 6.2 Definition 1 of Trigonometric Functions: Right Triangle Ratios 6.3 Applications of Right Triangle Trigonometry: Solving Right Triangles 6.4 Definition 2 of Trigonometric Functions: Cartesian Plane 6.5 Trigonometric Functions of Non-Acute Angles 6.6 Radian Measure and Applications 6.7 Definition 3 of Trigonometric Functions: Unit Circle Approach 6.8 Graphs of Sine and Cosine Functions 6.9 Graphs of Other Trigonometric Functions Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 7 ANALYTIC TRIGONOMETRY7.1 Basic Trigonometric Identities 7.2 Verifying Trigonometric Identities 7.3 Sum and Difference Identities 7.4 Double-Angle Identities 7.5 Half-Angle Identities 7.6 Product-to-Sum and Sum-to-Product Identities 7.7 Inverse Trigonometric Functions 7.8 Trigonometric Equations Modeling Your World Review Review Exer
Often, algebra & trigonometry students leave class believing that they understand a concept but are unable to apply that understanding when they get home and attempt their homework problems. This mainstream yet innovative text is written by an experienced professor who has identified this gap as one of the biggest challenges that algebra & trigonometry professors face. She uses a clear, voice that speaks directly to students- similar to how instructors communicate to them in class. Students learning from this text will overcome common barriers to learning algebra & trigonometry and will build confidence in their ability to do mathematics.
Table of Contents
CHAPTER 0 PREREQUISITES AND REVIEW0.1 Real Numbers 0.2 Integer Exponents and Scientific Notation 0.3 Polynomials: Basic Operations 0.4 Factoring Polynomials 0.5 Rational Expressions 0.6 Rational Exponents and Radicals 0.7 Complex Numbers Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 1 EQUATIONS AND INEQUALITIES1.1 Linear Equations 1.2 Applications Involving Linear Equations 1.3 Quadratic Equations 1.4 Other Types of Equations 1.5 Linear Inequalities 1.6 Polynomial and Rational Inequalities 1.7 Absolute Value Equations and Inequalities Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 2 GRAPHS2.1 Basic Tools: Cartesian Plane, Distance, and Midpoint 2.2 Graphing Equations: Point-Plotting, Intercepts and Symmetry 2.3 Lines 2.4 Circles Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 3 FUNCTIONS AND THEIR GRAPHS3.1 Functions 3.2 Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change 3.3 Graphing Techniques: Transformations 3.4 Operation on Functions and Composition of Functions 3.5 One-to-One Functions and Inverse Functions 3.6 Modeling Functions Using Variation Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 4 POLYNOMIAL AND RATIONAL FUNCTIONS4.1 Quadratic Functions 4.2 Polynomial Functions of Higher Degree 4.3 Dividing Polynomials: Long Division and Synthetic Division 4.4 The Real Zeros of a Polynomial Function 4.5 Complex Zeros; The Fundamental Theorem of Algebra 4.6 Rational Functions Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS5.1 Exponential Functions and Their Graphs 5.2 Exponential Functions and Their Graphs 5.3 Properties of Logarithms 5.4 Exponential and Logarithmic Equations 5.5 Exponential and Logarithmic Models Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 6 TRIGONOMETRIC FUNCTIONS6.1 Angles, Degrees and Triangles 6.2 Definition 1 of Trigonometric Functions: Right Triangle Ratios 6.3 Applications of Right Triangle Trigonometry: Solving Right Triangles 6.4 Definition 2 of Trigonometric Functions: Cartesian Plane 6.5 Trigonometric Functions of Non-Acute Angles 6.6 Radian Measure and Applications 6.7 Definition 3 of Trigonometric Functions: Unit Circle Approach 6.8 Graphs of Sine and Cosine Functions 6.9 Graphs of Other Trigonometric Functions Modeling Your World Review Review Exercises Practice Test Cumulative TestCHAPTER 7 ANALYTIC TRIGONOMETRY7.1 Basic Trigonometric Identities 7.2 Verifying Trigonometric Identities 7.3 Sum and Difference Identities 7.4 Double-Angle Identities 7.5 Half-Angle Identities 7.6 Product-to-Sum and Sum-to-Product Identities 7.7 Inverse Trigonometric Functions 7.8 Trigonometric Equations Modeling Your World Review Review Exer