College Algebra: Graphs & Models
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ISBN13: 9780073519548
Copyright: 2012
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College Algebra: Graphs & Models
Chapter R: A Review of Basic Concepts and Skills
R.1: Algebraic Expressions and the Properties of Real Numbers
R.2: Exponents, Scientific Notation, and a Review of Polynomials
R.3: Solving Linear Equations and Inequalities
R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring
R.5: Rational Expressions and Equations
R.6: Radicals, Rational Exponents, and Radical Equations
Chapter 1: Functions and Graphs
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
Chapter 2: Relations, More on Functions
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
R.1: Algebraic Expressions and the Properties of Real Numbers
R.2: Exponents, Scientific Notation, and a Review of Polynomials
R.3: Solving Linear Equations and Inequalities
R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring
R.5: Rational Expressions and Equations
R.6: Radicals, Rational Exponents, and Radical Equations
Chapter 1: Functions and Graphs
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
Chapter 2: Relations, More on Functions
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.7: Exponential, Logarithmic, and Logistic Equation Models
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
7.5: Matrix Applications and Technology Use
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.7: The Binomial Theorem
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
About the Author
John Coburn
John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelor’s Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Who’s Who Among America’s Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.
J.D. (John) Herdlick
College Algebra: Graphs & Models
Chapter R: A Review of Basic Concepts and Skills
R.1: Algebraic Expressions and the Properties of Real Numbers
R.2: Exponents, Scientific Notation, and a Review of Polynomials
R.3: Solving Linear Equations and Inequalities
R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring
R.5: Rational Expressions and Equations
R.6: Radicals, Rational Exponents, and Radical Equations
Chapter 1: Functions and Graphs
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
Chapter 2: Relations, More on Functions
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
R.1: Algebraic Expressions and the Properties of Real Numbers
R.2: Exponents, Scientific Notation, and a Review of Polynomials
R.3: Solving Linear Equations and Inequalities
R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring
R.5: Rational Expressions and Equations
R.6: Radicals, Rational Exponents, and Radical Equations
Chapter 1: Functions and Graphs
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
Chapter 2: Relations, More on Functions
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.7: Exponential, Logarithmic, and Logistic Equation Models
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
7.5: Matrix Applications and Technology Use
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.7: The Binomial Theorem
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
About the Author
John Coburn
John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelor’s Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Who’s Who Among America’s Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.
J.D. (John) Herdlick
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