(Ebook PDF) College Algebra and Trigonometry 1st edition by Julie Miller, Donna Gerken ISBN 0078035627 9780078035623 full chapters

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Product details:

ISBN 10: 0078035627
ISBN 13: 978-0078035623
Author:   Julie Miller, Donna Gerken 

Table of contents:

Chapter R: Review of Prerequisites

• R.1: Sets and the Real Number Line
• R.2: Integer Exponents and Scientific Notation
• R.3: Rational Exponents and Radicals
• R.4: Polynomials and Multiplication of Radicals
  • Problem Recognition Exercises: Simplifying Algebraic Expressions
• R.5: Factoring
• R.6: Rational Expressions and More Operations on Radicals

Chapter 1: Equations and Inequalities

• 1.1: Linear Equations and Rational Equations
• 1.2: Applications with Linear and Rational Equations
• 1.3: Complex Numbers
• 1.4: Quadratic Equations
  • Problem Recognition Exercises: Simplifying Expressions Versus Solving Equations
• 1.5: Applications of Quadratic Equations
• 1.6: More Equations and Applications
• 1.7: Linear, Compound, and Absolute Value Inequalities
  • Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities

Chapter 2: Functions and Relations

• 2.1: The Rectangular Coordinate System and Graphing Utilities
• 2.2: Circles
• 2.3: Functions and Relations
• 2.4: Linear Equations in Two Variables and Linear Functions
• 2.5: Applications of Linear Equations and Modeling
  • Problem Recognition Exercises: Comparing Graphs of Equations
• 2.6: Transformations of Graphs
• 2.7: Analyzing Graphs of Functions and Piecewise-Defined Functions
• 2.8: Algebra of Functions and Function Composition

Chapter 3: Polynomial and Rational Functions

• 3.1: Quadratic Functions and Applications
• 3.2: Introduction to Polynomial Functions
• 3.3: Division of Polynomials and the Remainder and Factor Theorems
• 3.4: Zeros of Polynomials
• 3.5: Rational Functions
  • Problem Recognition Exercises: Polynomial and Rational Functions
• 3.6: Polynomial and Rational Inequalities
  • Problem Recognition Exercises: Solving Equations and Inequalities
• 3.7: Variation

Chapter 4: Exponential and Logarithmic Functions

• 4.1: Inverse Functions
• 4.2: Exponential Functions
• 4.3: Logarithmic Functions
  • Problem Recognition Exercises: Analyzing Functions
• 4.4: Properties of Logarithms
• 4.5: Exponential and Logarithmic Equations
• 4.6: Modeling with Exponential and Logarithmic Functions

Chapter 5: Trigonometric Functions

• 5.1: Angles and Their Measure
• 5.2: Right Triangle Trigonometry
• 5.3: Trigonometric Functions of Any Angle
• 5.4: Trigonometric Functions Defined on the Unit Circle
• 5.5: Graphs of Sine and Cosine Functions
• 5.6: Graphs of Other Trigonometric Functions
  • Problem Recognition Exercises: Comparing Graphical Characteristics of Trigonometric Functions
• 5.7: Inverse Trigonometric Functions

Chapter 6: Analytic Trigonometry

• 6.1: Fundamental Trigonometric Identities
• 6.2: Sum and Difference Formulas
• 6.3: Double-Angle and Half-Angle Formulas
• 6.4: Product-to-Sum and Sum-to-Product Formulas
• 6.5: Trigonometric Equations

Chapter 7: Applications of Trigonometric Functions

• 7.1: Applications of Right Triangles
• 7.2: The Law of Sines
• 7.3: The Law of Cosines
  • Problem Recognition Exercises: Solving Triangles Using a Variety of Tools
• 7.4: Harmonic Motion and Combinations of Trigonometric Functions

Chapter 8: Trigonometry Applied to Rectangular and Polar Coordinate Systems and Vectors

• 8.1: Polar Coordinates
• 8.2: Graphs of Polar Equations
  • Problem Recognition Exercises: Comparing Equations in Polar and Rectangular Form
• 8.3: Complex Numbers in Polar Form
• 8.4: Vectors
• 8.5: Dot Product

Chapter 9: Systems of Equations and Inequalities

• 9.1: Systems of Linear Equations in Two Variables and Applications
• 9.2: Systems of Linear Equations in Three Variables and Applications
• 9.3: Partial Fraction Decomposition
• 9.4: Systems of Nonlinear Equations in Two Variables
• 9.5: Inequalities and Systems of Inequalities in Two Variables
  • Problem Recognition Exercises: Equations and Inequalities in Two Variables
• 9.6: Linear Programming

Chapter 10: Matrices and Determinants and Applications

• 10.1: Solving Systems of Linear Equations Using Matrices
• 10.2: Inconsistent Systems and Dependent Equations
• 10.3: Operations on Matrices
• 10.4: Inverse Matrices and Matrix Equations
• 10.5: Determinants and Cramer’s Rule
  • Problem Recognition Exercises: Using Multiple Methods to Solve Systems of Linear Equations

Chapter 11: Analytic Geometry

• 11.1: The Ellipse
• 11.2: The Hyperbola
• 11.3: The Parabola
  • Problem Recognition Exercises: Comparing Equations of Conic Sections and General Equation
• 11.4: Rotation of Axes
• 11.5: Polar Equations of Conics
• 11.6: Plane Curves and Parametric Equations

Chapter 12: Sequences, Series, Induction, and Probability

• 12.1: Sequences and Series
• 12.2: Arithmetic Sequences and Series
• 12.3: Geometric Sequences and Series
  • Problem Recognition Exercises: Comparing Arithmetic and Geometric Sequences and Series
• 12.4: Mathematical Induction
• 12.5: The Binomial Theorem
• 12.6: Principles of Counting
• 12.7: Introduction to Probability

Online Appendix

• A-1: Proof of the Binomial Theorem
• A-2: Definition of Conics From a Fixed Point and Fixed Line

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