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For courses in Algebra & Trigonometry.
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Completely clickable eTexts — with a consistent author voice throughout
Recognizing that today’s students start with the homework instead of reading the text, Kirk Trigsted has created an online learning environment that is a seamless mix of exposition, videos, interactive animations, tutorials, and assessment–designed for the way students think and behave online.
Each title in the Trigsted Precalculus Series is created from the ground up within MyLab Math — and all multimedia elements, exercises, feedback, and content are written by the author himself, ensuring a consistent, reassuring author presence throughout for students. This approach leverages the power of MyLab Math, and fosters student interaction with course materials in a way that is proving to be more effective.
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0134751590 / 9780134751597 MyLab Math for Trigsted Algebra & Trigonometry -- Access Kit, 3/e
Table of Contents:
BRIEF TABLE OF CONTENTS - 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
Appendices - A. Degree, Minute, Second Form and Degree Decimal Form
- B. Conic Section Proofs
COMPREHENSIVE TABLE OF CONTENTS - 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
Appendices - A. Degree, Minute, Second Form and Degree Decimal Form
- B. Conic Section Proofs
About the Author :
About our author Kirk Trigsted teaches Precalculus at the University of Idaho, with 2000 students each year in a combined classroom and laboratory setting. He has been Director of the Polya Mathematics Center at the University of Idaho since its inception in 2001. Kirk has served as a consultant and redesign scholar for various projects through the National Center for Academic Transformation (NCAT). He is the lead author of an interactive, completely clickable series built from the ground up within MyLab Math. The series offers content spanning from Basic Math to Precalculus and Trigonometry.
