Essentials of College Algebra 12th Edition Margaret L. Lial
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Table of Contents
- Preface
- Sources for Success
- Review of Basic Concepts
- R.1 Units
- R.2 Real Numbers and Their Properties
- R.3 Polynomials
- R.4 Factoring Polynomials
- R.5 Rational Expressions
- R.6 Rational Exponents
- R.7 Radical Expressions
- Equations and Inequalities
- 1.1 Linear Equations
- 1.2 Functions and Modeling with Linear Equations
- 1.3 Complex Numbers
- 1.4 Quadratic Equations
- 1.5 Functions and Modeling with Quadratic Equations
- 1.6 Other Types of Equations and Functions
- 1.7 Inequalities
- 1.8 Absolute Value Equations and Inequalities
- Test Prep
- Review Exercises
- Test
- Graphs and Functions
- 2.1 Rectangular Coordinates and Graphs
- 2.2 Circles
- 2.3 Functions
- 2.4 Linear Functions
- 2.5 Equations of Lines and Linear Models
- 2.6 Graphs of Basic Functions
- 2.7 Graphing Techniques
- 2.8 Function Operations and Composition
- Test Prep
- Review Exercises
- Test
- Polynomials and Rational Functions
- 3.1 Quadratic Functions and Models
- 3.2 Synthetic Division
- 3.3 Zeros of Polynomial Functions
- 3.4 Polynomial Functions: Graphs, Functions, and Models
- 3.5 Rational Functions: Graphs, Functions, and Models
- 3.6 Variation
- Test Prep
- Review Exercises
- Test
- Inverse, Exponential, and Logarithmic Functions
- 4.1 Inverse Functions
- 4.2 Exponential Functions
- 4.3 Logarithmic Functions
- 4.4 Evaluating Logarithms and the Change-of-Base Theorem
- 4.5 Exponential and Logarithmic Equations
- 4.6 Functions and Models of Exponential Growth and Decay
- Test Prep
- Review Exercises
- Test
- Systems and Matrices
- 5.1 Systems of Linear Equations
- 5.2 Matrix Solution of Linear Systems
- 5.3 Determinant Solution of Linear Systems
- 5.4 Partial Fractions
- 5.5 Nonlinear Systems of Equations
- 5.6 Systems of Inequalities and Linear Programming
- 5.7 Properties of Matrices
- 5.8 Matrix Inverses
- Test Prep
- Review Exercises
- Test
## Frequently Asked Questions (FAQs)
### Q: What is the ISBN-13 of the book?
A: The ISBN-13 of the book is 9780137517077.
### Q: What are some of the topics covered in the book?
A: Some of the topics covered in the book include Basic Concepts, Equations and Inequalities, Graphs and Functions, Polynomials and Rational Functions, Inverse, Exponential, and Logarithmic Functions, and Systems and Matrices.
### Q: Are there resources available for review and test preparation?
A: Yes, the book provides ample opportunities for review and test preparation with exercises and test sections at the end of each chapter.
## Conclusion
The “Essentials of College Algebra 12th Edition” by Margaret L. Lial is a comprehensive resource designed to help students develop a strong foundation in algebra. With a systematic approach, varied examples, and ample opportunities for practice, this book aims to enhance conceptual understanding and analytical skills in mathematics. Whether you are a student looking to improve your algebra proficiency or an educator seeking a reliable teaching tool, this book offers a valuable resource for learning and teaching college algebra concepts.
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