Algebra & Trigonometry
2nd EditionISBN10: 0077276515
ISBN13: 9780077276515
Copyright: 2010
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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.
Program Details
Chapter R: A Review of Basic Concepts and Skills
R-1 The Language, Notation, and Numbers of Mathematics
R-2 Algebraic Expressions and the Properties of Real Numbers
R-3 Exponents, Scientific Notation, and a Review of Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-2 Algebraic Expressions and the Properties of Real Numbers
R-3 Exponents, Scientific Notation, and a Review of Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
APPENDICES
A-1 More on Synthetic Division
A-2 More on Matrices
A-3 Deriving the Equation of a Conic
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
A-2 More on Matrices
A-3 Deriving the Equation of a Conic
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
About the Author
John Coburn
John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelor’s Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Who’s Who Among America’s Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.
Chapter R: A Review of Basic Concepts and Skills
R-1 The Language, Notation, and Numbers of Mathematics
R-2 Algebraic Expressions and the Properties of Real Numbers
R-3 Exponents, Scientific Notation, and a Review of Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-2 Algebraic Expressions and the Properties of Real Numbers
R-3 Exponents, Scientific Notation, and a Review of Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
R-6 Radicals and Rational Exponents
Chapter 1: Equations and Inequalities
1-1 Linear Equations, Formulas, and Problem Solving
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-2 Linear Inequalities in One Variable
1-3 Absolute Value Equations and Inequalities
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-4 Complex Numbers
1-5 Solving Quadratic Equations
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
1-6 Solving Other Types of Equations
Chapter 2: Relations, Functions and Graphs
2-1 Rectangular Coordinates; Graphing Circles and Relations
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-2 Graphs of Linear Equations
2-3 Linear Equations and Rates of Change
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-4 Functions, Notation, and Graphs of Functions
2-5 Analyzing the Graph of a Function
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-6 Toolbox Functions and Transformations
2-7 Piecewise-Defined Functions
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
2-8 The Algebra and Composition of Functions
Chapter 3: Polynomial and Rational Functions
3-1 Quadratic Functions and Applications
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-2 Synthetic Division; The Remainder and Factor Theorems
3-3 The Zeroes of Polynomial Functions
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-4 Graphing Polynomial Functions
3-5 Graphing Rational Functions
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-6 Additional Insights into Rational Functions
3-7 Polynomial and Rational Inequalities
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
3-8 Variation: Function Models in Action
Chapter 4: Exponential and Logarithmic Functions
4-1 One-to-One and Inverse Functions
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
4-2 Exponential Functions
4-3 Logarithms and Logarithmic Functions
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations
4-5 Applications from Business, Finance, and Science
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 5: Introduction to Trigonometric Functions
5-1 Angle Measure, Special Triangles, and Special Angles
5-2 The Trigonometry of Right Triangles
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-3 Trigonometry and the Coordinate Plane
5-4 Unit Circles and the Trigonometric of Real Numbers
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-5 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-6 Graphs of Tangent and Cotangent Functions
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
5-7 Transformations and Applications of Trigonometric Graphs
Chapter 6: Trigonometric Identities, Inverses, and Equations
6-1 Fundamental Identities and Families of Identities
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-2 Constructing and Verifying Identities
6-3 The Sum and Difference Identities
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-4 Double Angle, Half Angle & Product-to-Sum Identities
6-5 The Inverse Trigonometric Functions and Their Applications
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
6-6 Solving Basic Trigonometric Equations
6-7 General Trigonometric Equations and Applications
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 7: Applications of Trigonometry
7-1 Oblique Triangles and the Law of Sines
7-2 The Law of Cosines; Area of a Triangle
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
7-3 Vectors and Vector Diagrams
7-4 Vector Applications and the Dot Product
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
7-5 Complex Numbers in Trigonometric Form
7-6 Demoivre’s Theorem and the Theorem on nth Roots
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 8: Systems of Equations and Inequalities
8-1 Linear Systems in Two Variables with Applications
8-2 Linear Systems in Three Variables with Applications
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
8-3 Nonlinear Systems of Equations and Inequalities
8-4 Systems of Inequalities and Linear Programming
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 9: Matrices and Matrix Applications
9-1 Solving Systems Using Matrices and Row Operations
9-2 The Algebra of Matrices
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
9-3 Solving Linear Systems Using Matrix Equations
9-4 Applications of Matrices and Determinants: Cramer's Rule, Partial Fractions, and More
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
Chapter 10: Analytical Geometry and Conic Sections
10-1 Introduction to Analytic Geometry
10-2 The Circle and the Ellipse
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-3 The Hyperbola
10-4 The Analytic Parabola
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-5 Polar Coordinates, Equations, and Graphs
10-6 More on Conic Sections: Rotation of Axes and Polar Form
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
10-7 Parametric Equations and Graphs
Chapter 11: Additional Topics in Algebra
11-1 Sequences and Series
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-4 Mathematical Induction
11-5 Counting Techniques
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
11-6 Introduction to Probability
11-7 The Binomial Theorem
Summary and Concept Review
APPENDICES
A-1 More on Synthetic Division
A-2 More on Matrices
A-3 Deriving the Equation of a Conic
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
A-2 More on Matrices
A-3 Deriving the Equation of a Conic
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
A-4 Proof Positive - A Selection of Proofs from Algebra and Trigonometry
About the Author
John Coburn
John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelor’s Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Who’s Who Among America’s Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.
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