Raymond A Barnett, Michael R Ziegler, Karl E Byleen
College Algebra with Trigonometry
Graphs and Models with Mathzone
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Raymond A Barnett, Michael R Ziegler, Karl E Byleen
College Algebra with Trigonometry
Graphs and Models with Mathzone
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Aims to encourage students to investigate mathematical ideas and processes graphically, numerically, and algebraically. This title focuses on the development of a library of elementary functions, including their important properties and uses. Many applications are real-world problems taken from professional journals and professional books.
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Aims to encourage students to investigate mathematical ideas and processes graphically, numerically, and algebraically. This title focuses on the development of a library of elementary functions, including their important properties and uses. Many applications are real-world problems taken from professional journals and professional books.
Produktdetails
- Produktdetails
- Verlag: McGraw Hill LLC
- Erscheinungstermin: 12. März 2004
- Englisch
- Abmessung: 258mm x 209mm x 42mm
- Gewicht: 2277g
- ISBN-13: 9780072922318
- ISBN-10: 0072922311
- Artikelnr.: 22121191
- Herstellerkennzeichnung
- Libri GmbH
- Europaallee 1
- 36244 Bad Hersfeld
- gpsr@libri.de
- Verlag: McGraw Hill LLC
- Erscheinungstermin: 12. März 2004
- Englisch
- Abmessung: 258mm x 209mm x 42mm
- Gewicht: 2277g
- ISBN-13: 9780072922318
- ISBN-10: 0072922311
- Artikelnr.: 22121191
- Herstellerkennzeichnung
- Libri GmbH
- Europaallee 1
- 36244 Bad Hersfeld
- gpsr@libri.de
1 Functions, Graphs, and Models 1.1 Using Graphing Utilities 1.2 Functions
1.3 Functions: Graphs and Properties 1.4 Functions: Graphs and
Transformations 1.5 Operations on Functions; Composition 1.6 Inverse
Functions 2 Modeling with Linear and Quadratic Functions 2.1 Linear
Functions 2.2 Linear Equations and Models 2.3 Quadratic Functions 2.4
Complex Numbers 2.5 Quadratic Equations and Models 2.6 Additional
Equation-Solving Techniques 2.7 Solving Inequalities 3 Polynomial and
Rational Functions 3.1 Polynomial Functions and Models 3.2 Real Zeros and
Polynomial Inequalities 3.3 Complex Zeros and Rational Zeros of Polynomials
3.4 Rational Functions and Inequalities 4 Exponential and Logarithmic
Functions 4.1 Exponential Functions 4.2 Exponential Models 4.3 Logarithmic
Functions 4.4 Logarithmic Models 4.5 Exponential and Logarithmic Equations
5 Trigonometric Functions 5.1 Angles and Their Measure 5.2 Right Triangle
Trigonometry 5.3 Trigonometric Functions: A Unit Circle Approach 5.4
Properties of Trigonometric Functions 5.5 More General Trigonometric
Functions and Models 5.6 Inverse Trigonometric Functions 6 Trigonometric
Identities and Conditional Equations 6.1 Basic Identities and Their Use 6.2
Sum, Difference, and Cofunction Identities 6.3 Double-Angle and Half-Angle
Identities 6.4 Product-Sum and Sum-Product Identities 6.5 Trigonometric
Equations 7 Additional Topics in Trigonometry 7.1 Law of Sines 7.2 Law of
Cosines 7.3 Geometric Vectors 7.4 Algebraic Vectors 7.5 Polar Coordinates
and Graphs 7.6 Complex Numbers in Rectangular and Polar Forms 7.7 De
Moivre's Theorem 8 Modeling with Linear Systems 8.1 Systems of Linear
Equations in Two Variables 8.2 Systems of Linear Equations and Augmented
Matrices 8.3 Gauss-Jordan Elimination 8.4 Systems of Linear Inequalities
8.5 Linear Programming 9 Matrices and Determinants 9.1 Matrix Operations
9.2 Inverse of a Square Matrix 9.3 Matrix Equations and Systems of Linear
Equations 9.4 Determinants 9.5 Properties of Determinants 9.6 Determinants
and Cramer's Rule 10 Sequences, Induction, and Probability 10.1 Sequences
and Series 10.2 Mathematical Induction 10.3 Arithmetic and Geometric
Sequences 10.4 Multiplication Principle, Permutations, and Combinations
10.5 Sample Spaces and Probability 10.6 Binomial Formula 11 Additional
Topics in Analytic Geometry 11.1 Conic Sections; Parabola 11.2 Ellipse 11.3
Hyperbola 11.4 Translation of Axes 11.5 Rotation of Axes 11.6 Nonlinear
Systems Appendix A Review of Equations and Graphing A.1 Linear Equations
and Inequalities A.2 Cartesian Coordinate System A.3 Basic Formulas in
Analytic Geometry Appendix B Special Topics B.1 Significant Digits B.2
Partial Fractions B.3 Descartes' Rule of Signs B.4 Parametric Equations
Appendix C Geometric Formulas
1.3 Functions: Graphs and Properties 1.4 Functions: Graphs and
Transformations 1.5 Operations on Functions; Composition 1.6 Inverse
Functions 2 Modeling with Linear and Quadratic Functions 2.1 Linear
Functions 2.2 Linear Equations and Models 2.3 Quadratic Functions 2.4
Complex Numbers 2.5 Quadratic Equations and Models 2.6 Additional
Equation-Solving Techniques 2.7 Solving Inequalities 3 Polynomial and
Rational Functions 3.1 Polynomial Functions and Models 3.2 Real Zeros and
Polynomial Inequalities 3.3 Complex Zeros and Rational Zeros of Polynomials
3.4 Rational Functions and Inequalities 4 Exponential and Logarithmic
Functions 4.1 Exponential Functions 4.2 Exponential Models 4.3 Logarithmic
Functions 4.4 Logarithmic Models 4.5 Exponential and Logarithmic Equations
5 Trigonometric Functions 5.1 Angles and Their Measure 5.2 Right Triangle
Trigonometry 5.3 Trigonometric Functions: A Unit Circle Approach 5.4
Properties of Trigonometric Functions 5.5 More General Trigonometric
Functions and Models 5.6 Inverse Trigonometric Functions 6 Trigonometric
Identities and Conditional Equations 6.1 Basic Identities and Their Use 6.2
Sum, Difference, and Cofunction Identities 6.3 Double-Angle and Half-Angle
Identities 6.4 Product-Sum and Sum-Product Identities 6.5 Trigonometric
Equations 7 Additional Topics in Trigonometry 7.1 Law of Sines 7.2 Law of
Cosines 7.3 Geometric Vectors 7.4 Algebraic Vectors 7.5 Polar Coordinates
and Graphs 7.6 Complex Numbers in Rectangular and Polar Forms 7.7 De
Moivre's Theorem 8 Modeling with Linear Systems 8.1 Systems of Linear
Equations in Two Variables 8.2 Systems of Linear Equations and Augmented
Matrices 8.3 Gauss-Jordan Elimination 8.4 Systems of Linear Inequalities
8.5 Linear Programming 9 Matrices and Determinants 9.1 Matrix Operations
9.2 Inverse of a Square Matrix 9.3 Matrix Equations and Systems of Linear
Equations 9.4 Determinants 9.5 Properties of Determinants 9.6 Determinants
and Cramer's Rule 10 Sequences, Induction, and Probability 10.1 Sequences
and Series 10.2 Mathematical Induction 10.3 Arithmetic and Geometric
Sequences 10.4 Multiplication Principle, Permutations, and Combinations
10.5 Sample Spaces and Probability 10.6 Binomial Formula 11 Additional
Topics in Analytic Geometry 11.1 Conic Sections; Parabola 11.2 Ellipse 11.3
Hyperbola 11.4 Translation of Axes 11.5 Rotation of Axes 11.6 Nonlinear
Systems Appendix A Review of Equations and Graphing A.1 Linear Equations
and Inequalities A.2 Cartesian Coordinate System A.3 Basic Formulas in
Analytic Geometry Appendix B Special Topics B.1 Significant Digits B.2
Partial Fractions B.3 Descartes' Rule of Signs B.4 Parametric Equations
Appendix C Geometric Formulas
1 Functions, Graphs, and Models 1.1 Using Graphing Utilities 1.2 Functions
1.3 Functions: Graphs and Properties 1.4 Functions: Graphs and
Transformations 1.5 Operations on Functions; Composition 1.6 Inverse
Functions 2 Modeling with Linear and Quadratic Functions 2.1 Linear
Functions 2.2 Linear Equations and Models 2.3 Quadratic Functions 2.4
Complex Numbers 2.5 Quadratic Equations and Models 2.6 Additional
Equation-Solving Techniques 2.7 Solving Inequalities 3 Polynomial and
Rational Functions 3.1 Polynomial Functions and Models 3.2 Real Zeros and
Polynomial Inequalities 3.3 Complex Zeros and Rational Zeros of Polynomials
3.4 Rational Functions and Inequalities 4 Exponential and Logarithmic
Functions 4.1 Exponential Functions 4.2 Exponential Models 4.3 Logarithmic
Functions 4.4 Logarithmic Models 4.5 Exponential and Logarithmic Equations
5 Trigonometric Functions 5.1 Angles and Their Measure 5.2 Right Triangle
Trigonometry 5.3 Trigonometric Functions: A Unit Circle Approach 5.4
Properties of Trigonometric Functions 5.5 More General Trigonometric
Functions and Models 5.6 Inverse Trigonometric Functions 6 Trigonometric
Identities and Conditional Equations 6.1 Basic Identities and Their Use 6.2
Sum, Difference, and Cofunction Identities 6.3 Double-Angle and Half-Angle
Identities 6.4 Product-Sum and Sum-Product Identities 6.5 Trigonometric
Equations 7 Additional Topics in Trigonometry 7.1 Law of Sines 7.2 Law of
Cosines 7.3 Geometric Vectors 7.4 Algebraic Vectors 7.5 Polar Coordinates
and Graphs 7.6 Complex Numbers in Rectangular and Polar Forms 7.7 De
Moivre's Theorem 8 Modeling with Linear Systems 8.1 Systems of Linear
Equations in Two Variables 8.2 Systems of Linear Equations and Augmented
Matrices 8.3 Gauss-Jordan Elimination 8.4 Systems of Linear Inequalities
8.5 Linear Programming 9 Matrices and Determinants 9.1 Matrix Operations
9.2 Inverse of a Square Matrix 9.3 Matrix Equations and Systems of Linear
Equations 9.4 Determinants 9.5 Properties of Determinants 9.6 Determinants
and Cramer's Rule 10 Sequences, Induction, and Probability 10.1 Sequences
and Series 10.2 Mathematical Induction 10.3 Arithmetic and Geometric
Sequences 10.4 Multiplication Principle, Permutations, and Combinations
10.5 Sample Spaces and Probability 10.6 Binomial Formula 11 Additional
Topics in Analytic Geometry 11.1 Conic Sections; Parabola 11.2 Ellipse 11.3
Hyperbola 11.4 Translation of Axes 11.5 Rotation of Axes 11.6 Nonlinear
Systems Appendix A Review of Equations and Graphing A.1 Linear Equations
and Inequalities A.2 Cartesian Coordinate System A.3 Basic Formulas in
Analytic Geometry Appendix B Special Topics B.1 Significant Digits B.2
Partial Fractions B.3 Descartes' Rule of Signs B.4 Parametric Equations
Appendix C Geometric Formulas
1.3 Functions: Graphs and Properties 1.4 Functions: Graphs and
Transformations 1.5 Operations on Functions; Composition 1.6 Inverse
Functions 2 Modeling with Linear and Quadratic Functions 2.1 Linear
Functions 2.2 Linear Equations and Models 2.3 Quadratic Functions 2.4
Complex Numbers 2.5 Quadratic Equations and Models 2.6 Additional
Equation-Solving Techniques 2.7 Solving Inequalities 3 Polynomial and
Rational Functions 3.1 Polynomial Functions and Models 3.2 Real Zeros and
Polynomial Inequalities 3.3 Complex Zeros and Rational Zeros of Polynomials
3.4 Rational Functions and Inequalities 4 Exponential and Logarithmic
Functions 4.1 Exponential Functions 4.2 Exponential Models 4.3 Logarithmic
Functions 4.4 Logarithmic Models 4.5 Exponential and Logarithmic Equations
5 Trigonometric Functions 5.1 Angles and Their Measure 5.2 Right Triangle
Trigonometry 5.3 Trigonometric Functions: A Unit Circle Approach 5.4
Properties of Trigonometric Functions 5.5 More General Trigonometric
Functions and Models 5.6 Inverse Trigonometric Functions 6 Trigonometric
Identities and Conditional Equations 6.1 Basic Identities and Their Use 6.2
Sum, Difference, and Cofunction Identities 6.3 Double-Angle and Half-Angle
Identities 6.4 Product-Sum and Sum-Product Identities 6.5 Trigonometric
Equations 7 Additional Topics in Trigonometry 7.1 Law of Sines 7.2 Law of
Cosines 7.3 Geometric Vectors 7.4 Algebraic Vectors 7.5 Polar Coordinates
and Graphs 7.6 Complex Numbers in Rectangular and Polar Forms 7.7 De
Moivre's Theorem 8 Modeling with Linear Systems 8.1 Systems of Linear
Equations in Two Variables 8.2 Systems of Linear Equations and Augmented
Matrices 8.3 Gauss-Jordan Elimination 8.4 Systems of Linear Inequalities
8.5 Linear Programming 9 Matrices and Determinants 9.1 Matrix Operations
9.2 Inverse of a Square Matrix 9.3 Matrix Equations and Systems of Linear
Equations 9.4 Determinants 9.5 Properties of Determinants 9.6 Determinants
and Cramer's Rule 10 Sequences, Induction, and Probability 10.1 Sequences
and Series 10.2 Mathematical Induction 10.3 Arithmetic and Geometric
Sequences 10.4 Multiplication Principle, Permutations, and Combinations
10.5 Sample Spaces and Probability 10.6 Binomial Formula 11 Additional
Topics in Analytic Geometry 11.1 Conic Sections; Parabola 11.2 Ellipse 11.3
Hyperbola 11.4 Translation of Axes 11.5 Rotation of Axes 11.6 Nonlinear
Systems Appendix A Review of Equations and Graphing A.1 Linear Equations
and Inequalities A.2 Cartesian Coordinate System A.3 Basic Formulas in
Analytic Geometry Appendix B Special Topics B.1 Significant Digits B.2
Partial Fractions B.3 Descartes' Rule of Signs B.4 Parametric Equations
Appendix C Geometric Formulas