Kirk Trigsted
eText Reference for Algebra & Trigonometry
Paperback Engels 2018 3e druk 9780134768007Levertijd ongeveer 8 werkdagen
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Specificaties
ISBN13:9780134768007
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:1536
Uitgever:Pearson Education (US)
Druk:3
Thema:
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Inhoudsopgave
BRIEF TABLE OF CONTENTS
Review Chapter
- NOTE: Both brief and comprehensive tables of contents are listed below.
Review Chapter
- Equations, Inequalities, and Applications
- The Rectangular Coordinate System, Lines, and Circles
- Functions
- Polynomial and Rational Functions
- Exponential and Logarithmic Functions and Equations
- An Introduction to Trigonometric Functions
- The Graphs of Trigonometric Functions
- Trigonometric Identities, Formulas, and Equations
- Applications of Trigonometry
- Polar Equations, Complex Numbers, and Vectors
- Conic Sections and Parametric Equations
- Systems of Equations and Inequalities
- Matrices
- Sequences and Series; Counting and Probability
- A. Degree, Minute, Second Form and Degree Decimal Form
- B. Conic Section Proofs
- R. Review Chapter
- R.1 Real Numbers
- R.2 The Order of Operations and Algebraic Expressions
- R.3 The Laws of Exponents; Radicals
- R.4 Polynomials
- R.5 Operations with Radicals (New Section)
- R.6 Factoring Polynomials
- R.7 Rational Expressions
- Equations, Inequalities, and Applications
- 1.1 Linear and Rational Equations
- 1.2 Applications of Linear Equations and Rational Equation
- 1.3 Complex Numbers
- 1.4 Quadratic Equations
- 1.5 Applications of Quadratic Equations
- 1.6 Other Types of Equations
- 1.7 Linear Inequalities in One Variable
- 1.8 Absolute Value Equations and Inequalities
- 1.9 Polynomial and Rational Inequalities
- The Rectangular Coordinate System, Lines, and Circles
- 2.1 The Rectangular Coordinate System
- 2.2 Circles
- 2.3 Lines
- 2.4 Parallel and Perpendicular Lines
- Functions
- 3.1 Relations and Functions
- 3.2 Properties of a Function’s Graph
- 3.3 Graphs of Basic Functions; Piecewise Functions
- 3.4 Transformations of Functions
- 3.5 The Algebra of Functions; Composite Functions
- 3.6 One-to-One Functions; Inverse Functions
- Polynomial and Rational Functions
- 4.1 Quadratic Functions
- 4.2 Applications and Modeling of Quadratic Functions
- 4.3 The Graphs of Polynomial Functions
- 4.4 Synthetic Division; The Remainder and Factor Theorems
- 4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra
- 4.6 Rational Functions and Their Graphs
- 4.7 Variation
- Exponential and Logarithmic Functions and Equations
- 5.1 Exponential Functions
- 5.2 Logarithmic Functions
- 5.3 Properties of Logarithms
- 5.4 Exponential and Logarithmic Equations
- 5.5 Applications of Exponential and Logarithmic Functions
- An Introduction to Trigonometric Functions
- 6.1 An Introduction to Angles: Degree and Radian Measure
- 6.2 Applications of Radian Measure
- 6.3 Triangles
- 6.4 Right Triangle Trigonometry
- 6.5 Trigonometric Functions of General Angles
- 6.6 The Unit Circle
- The Graphs of Trigonometric Functions
- 7.1 The Graphs of Sine and Cosine
- 7.2 More on Graphs of Sine and Cosine; Phase Shift
- 7.3 The Graphs of the Tangent, Cotangent , Cosecant, and Secant Functions
- 7.4 Inverse Trigonometric Functions I
- 7.5 Inverse Trigonometric Functions II
- Trigonometric Identities, Formulas, and Equations
- 8.1 Trigonometric Identities
- 8.2 The Sum and Difference Formulas
- 8.3 The Double-Angle and Half-Angle Formulas
- 8.4 The Product-to-Sum and Sum-to-Product Formulas
- 8.5 Trigonometric Equations
- Applications of Trigonometry
- 9.1 Right Triangle Applications
- 9.2 The Law of Sines
- 9.3 The Law of Cosines
- 9.4 Area of Triangles
- Polar Equations, Complex Numbers, and Vectors
- 10.1 Polar Coordinates and Polar Equations
- 10.2 Graphing Polar Equations
- 10.3 Complex Numbers in Polar Form; DeMoivre’s Theorem
- 10.4 Vectors
- 10.5 The Dot Product
- Conic Sections and Parametric Equations
- 11.1 Introduction to Conic Sections
- 11.2 The Parabola
- 11.3 The Ellipse
- 11.4 The Hyperbola
- 11.5 Conic Sections in Polar Form
- 11.6 Parametric Equations
- Systems of Equations and Inequalities
- 12.1 Solving Systems of Linear Equations in Two Variables
- 12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method
- 12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination
- 12.4 Partial Fraction Decomposition
- 12.5 Systems of Nonlinear Equations
- 12.6 Systems of Inequalities
- Matrices
- 13.1 Matrix Operations
- 13.2 Inverses of Matrices and Matrix Equations
- 13.3 Determinants and Cramer’s Rule
- Sequences and Series; Counting and Probability
- 14.1 Introduction to Sequences and Series
- 14.2 Arithmetic Sequences and Series
- 14.3 Geometric Sequences and Series
- 14.4 The Binomial Theorem
- 14.5 Mathematical Induction
- 14.6 The Theory of Counting
- 14.7 An Introduction to Probability
- A. Degree, Minute, Second Form and Degree Decimal Form
- B. Conic Section Proofs
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