College Algebra 2e
College Algebra 2e provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book addresses the needs of a variety of courses. College Algebra 2e offer...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Place of publication not identified]
OpenStax
[2021]
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| Edition: | 2e |
| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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Table of Contents:
- Preface
- Chapter 1. Prerequisites
- Introduction to Prerequisites
- 1.1 Real Numbers: Algebra Essentials
- 1.2 Exponents and Scientific Notation
- 1.3 Radicals and Rational Exponents
- 1.4 Polynomials
- 1.5 Factoring Polynomials
- 1.6 Rational
- Chapter Review
- Exercises
- Chapter 2. Equations and Inequalities
- Introduction to Equations and Inequalities
- 2.1 The Rectangular Coordinate Systems and Graphs
- 2.2 Linear Equations in One Variable
- 2.3 Models and Applications
- 2.4 Complex Numbers
- 2.5 Quadratic Equations
- 2.6 Other Types of Equations
- 2.7 Linear Inequalities and Absolute Value Inequalities
- Chapter Review
- Exercises
- Chapter 3. Functions
- Introduction to Functions
- 3.1 Functions and Function Notation
- 3.2 Domain and Range
- 3.3 Rates of Change and Behavior of Graphs
- 3.4 Composition of Functions
- 3.5 Transformation of Functions
- 3.6 Absolute Value Functions
- 3.7 Inverse Functions
- Chapter Review
- Exercises
- Chapter 4. Linear Functions
- Introduction to Linear Functions
- 4.1 Linear Functions
- 4.2 Modeling with Linear Functions
- 4.3 Fitting Linear Models to Data
- Chapter Review
- Exercises
- Chapter 5. Polynomial and Rational Functions
- Introduction to Polynomial and Rational Functions
- 5.1 Quadratic Functions
- 5.2 Power Functions and Polynomial Functions
- 5.3 Graphs of Polynomial Functions
- 5.4 Dividing Polynomials
- 5.5 Zeros of Polynomial Functions
- 5.6 Rational Functions
- 5.7 Inverses and Radical Functions
- 5.8 Modeling Using Variation
- Chapter Review
- Exercises
- Chapter 6. Exponential and Logarithmic Functions
- Introduction to Exponential and Logarithmic Functions
- 6.1 Exponential Functions
- 6.2 Graphs of Exponential Functions
- 6.3 Logarithmic Functions
- 6.4 Graphs of Logarithmic Functions
- 6.5 Logarithmic Properties
- 6.6 Exponential and Logarithmic Equations
- 6.7 Exponential and Logarithmic Models
- 6.8 Fitting Exponential Models to Data
- Chapter Review
- Exercises
- Chapter 7. Systems of Equations and Inequalities
- Introduction to Systems of Equations and Inequalities
- 7.1 Systems of Linear Equations: Two Variables
- 7.2 Systems of Linear Equations: Three Variables
- 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables
- 7.4 Partial Fractions
- 7.5 Matrices and Matrix Operations
- 7.6 Solving Systems with Gaussian Elimination
- 7.7 Solving Systems with Inverses
- 7.8 Solving Systems with Cramer's Rule
- Chapter Review
- Exercises
- Chapter 8. Analytic Geometry
- Introduction to Analytic Geometry
- 8.1 The Ellipse
- 8.2 The Hyperbola
- 8.3 The Parabola
- 8.4 Rotation of Axes
- 8.5 Conic Sections in Polar Coordinates
- Chapter Review
- Exercises
- Chapter 9. Sequences, Probability, and Counting Theory
- Introduction to Sequences, Probability, and Counting Theory
- 9.1 Sequences and Their Notations
- 9.2 Arithmetic Sequences
- 9.3 Geometric Sequences
- 9.4 Series and Their Notations
- 9.5 Counting Principles
- 9.6 Binomial Theorem
- 9.7 Probability
- Chapter Review
- Exercises
- Answer Key
- Index