John Coburn
Combo: Precalculus with ALEKS User Guid & Access Code 1 Semester
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Combo: Precalculus with ALEKS User Guid & Access Code 1 Semester
2nd Edition
By John Coburn
Copyright: 2010
Copyright: 2010
Instructors:
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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.
Program Details
Chapter 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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