John Coburn
Precalculus
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Precalculus
2nd Edition
By John Coburn
ISBN10: 0077276507
ISBN13: 9780077276508
Copyright: 2010
ISBN10: 0077276507
ISBN13: 9780077276508
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.
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 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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
5-2 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
8-2 Linear Systems in Three Variables with Applications
8-3 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
APPENDICES
A-1 A Review of Basic Concepts and Skills
A-2 US Standard Units and the Metric System
A-3 Rational Expressions and the Least Common Denominator
A-4 Deriving the Equation of a Conic
A-5 More on Matrices
A-6 Deriving the Equation of a Conic
A-2 US Standard Units and the Metric System
A-3 Rational Expressions and the Least Common Denominator
A-4 Deriving the Equation of a Conic
A-5 More on Matrices
A-6 Deriving the Equation of a Conic
A-4 Deriving the Equation of a Conic
A-5 More on Matrices
A-6 Deriving the Equation of a Conic
A-6 Deriving the Equation of a Conic
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
5-2 Unit Circles and the Trigonometry of Real Numbers
5-3 Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
5-4 Graphs of Tangent and Cotangent Functions
5-5 Transformations and Applications of Trigonometric Graphs
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
5-6 The Trigonometry of Right Triangles
5-7 Trigonometry and the Coordinate Plane
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
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 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
8-2 Linear Systems in Three Variables with Applications
8-3 Partial Fraction Decomposition
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
8-4 Systems of Inequalities and Linear Programming
8-5 Solving Systems Using Matrices and Row Operations
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
8-6 The Algebra of Matrices
8-7 Solving Linear Systems Using Matrix Equations
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
8-8 Applications of Matrices and Determinants: Cramer's Rule, Geometry, and More
Chapter 9: Analytical Geometry
9-1 Introduction to Analytic Geometry
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
9-2 The Circle and the Ellipse
9-3 The Hyperbola
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
9-4 The Analytic Parabola
9-5 Nonlinear Systems of Equations and Inequalities
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
9-6 Polar Coordinates, Equations, and Graphs
9-7 More on Conic Sections: Rotation of Axes and Polar Form
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
9-8 Parametric Equations and Graphs
Chapter 10: Additional Topics in Algebra
10-1 Sequences and Series
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
10-2 Arithmetic Sequences
10-3 Geometric Sequences
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
10-4 Mathematical Induction
10-5 Counting Techniques
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
10-6 Introduction to Probability
10-7 The Binomial Theorem
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
Chapter 11: Bridges to Calculus - An Introduction to Limits
11-1 Finding Limits Numerically and Graphically
11-2 Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
11-3 Infinite Limits and Limits at Infinity
11-4 Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve
APPENDICES
A-1 A Review of Basic Concepts and Skills
A-2 US Standard Units and the Metric System
A-3 Rational Expressions and the Least Common Denominator
A-4 Deriving the Equation of a Conic
A-5 More on Matrices
A-6 Deriving the Equation of a Conic
A-2 US Standard Units and the Metric System
A-3 Rational Expressions and the Least Common Denominator
A-4 Deriving the Equation of a Conic
A-5 More on Matrices
A-6 Deriving the Equation of a Conic
A-4 Deriving the Equation of a Conic
A-5 More on Matrices
A-6 Deriving the Equation of a Conic
A-6 Deriving the Equation of a Conic
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