Algebra and Trigonometry 2e - Open Textbook Library (2024)

(18 reviews)

Jay Abramson, Arizona State University

ISBN 13:9781951693404

Publisher:OpenStax

Language:English

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Online
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CC BY

Reviews

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Reviewed by Yanwu Ding, Associate Professor, Wichita State University on 10/12/21

The book explores the algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometryread more

Reviewed by Tracy McCoy, Math Instructor, Midlands Technical College on 4/20/21

I did not find any holes in the topics where a topic my college covers was not in this text.read more

Reviews prior to2021are for a previous edition.

Reviewed by Valeria D'Orazio, Assistant Professor, Massachusetts Maritime Academy on 6/30/20

This book covers all topics and more of a standard Precalculus course.read more

Reviewed by Carl Yao, Math Instructor, Portland Community College on 5/14/20

The textbook coveres all possible topics in Precalculus.read more

Reviewed by Laura Stapleton, Instructor, Marshall University on 3/10/20

The textbook is comprehensive. I've used the Algebra and Trigonometry textbook in a face-to-face co-requisite College Algebra class for 2 years without problems. Most students utilize the textbook digitally. The textbook is set up as a...read more

Reviewed by Babul Saha, Adjunct Lecturer, LAGCC on 5/17/19

This book is perfect to teach one semester course. It has all the material that we cover in a semester.read more

Reviewed by Matt Brown, Director, Quantitative Reasoning Center, Earlham College on 5/14/19

I use this text for a semester course. There is more than enough content for a semester course. I doubt there is enough for a full year.read more

Reviewed by Marissa Ford, Assistant Professor, Trine University on 5/13/19

I did not see a glossary, but there was an effective index. From what I see, you cannot get to the index unless you download the book from the website. Once I downloaded it, I could see the index.read more

Reviewed by Brandy Williams, Instructor , Northshore Technical Community College on 4/24/19

All areas of the subject are covered. The index is easy to use. Each section contains a glossary which can be helpful and convenient, but for instructors who limit their teaching to specific sections, a comprehensive glossary that is easily...read more

Reviewed by Stacy Jurgens, Instructor, Mesabi Range College on 8/2/18

The text was very thorough. In fact, when using it in my Advanced Algebra course I skipped many sections. The homework problems were plentiful and offered a lot of variety. However, the word problems all felt a little too similar. A student doing...read more

Reviewed by Cecilia Weingartner, Lecture of Mathematics, Southern Utah University on 8/2/18

The text book is comprehensive, covering most of the materials for College Algebra and Trigonometry in a standard, traditional way. It has an introduction, learning objectives, contents with definitions, key points, graphs, and examples with...read more

Reviewed by Meryem Abouali, Adjunct lecturer, Laguardia Community College on 5/21/18

Algebra and Trigonometry text covers a standard typical topics for Algebra course. Within each concept there is an appropriate level of critical thinking and application. There is a perfect level of comprehensiveness.read more

Reviewed by G. Brock Williams, Professor, Texas Tech University on 3/27/18

This book covers all the standard topics of both a college algebra and trigonometry course. I could only find two topics that I wish were included (neither are typically included college algebra and trigonometry texts). The first was a...read more

Reviewed by Cristina Hansen Ruiz, Associate Lecturer, University of the West of England on 8/15/17

The text covers all areas related to algebra and trigonometry, starting from the very basics, such as numbers or plotting coordinates, and taking the student to a minimum level from which to start further studies. Added value are the final...read more

Reviewed by John Salisbury, Mathematics Instructor, Rogue Community College on 8/15/17

The text covers numerous subject's that would be covered in several different courses where I teach. The book covers several more topics than the title would indicate. There are glossaries at the end of each section of each chapter which I found...read more

Reviewed by Bill Heider, Instructor, Hibbing Community College on 6/20/17

The text covers the topics you would typically expect to be covered in a combined college algebra/Trigonometry text. The text does allow for students with varying levels of readiness, as the first two chapters covers topics typically encountered...read more

Reviewed by Robert Strozak, Senior lecturer, Old Dominion University on 6/20/17

This book covers more than I require in PreCalculus I, and may be useful in our PreCalculus II course.read more

Reviewed by Mingshen Wu, Professor, University of Wisconsin-Stout on 8/21/16

This book is a comprehensive textbook. It does cover all the materials that we need to cover by our college mathematics course MATH-120 and MATH-121. This book does not provide an effective index and glossary. However, users can use the...read more

Preface
Chapter 1. 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 Expressions
- Chapter Review
- Exercises
Chapter 2. 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 Functionos
- 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
Chapter7. The Unit Circle: Sine and Cosine Functions
- Introduction to The Unit Circle: Sine and Cosine Functions
- 7.1. Angles
- 7.2.Right Triangle Trigonometry
- 7.3. Unit Circle
- 7.4.The Other Trigonometric Functions
- Chapter Review
- Exercises
Chapter 8. Periodic Functions
- Introduction to Periodic Functions
- 8.1Graphs of the Sine and Cosine Functions
- 8.2Graphs of the Other Trigonometric Functions
- 8.3Inverse Trigonometric Functions
- Chapter Review
- Exercises
Chapter 9. Trigonometric Identities and Equations
- Introduction to Trigonometric Identities and Equations
- 9.1Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
- 9.2Sum and Difference Identities
- 9.3Double-Angle, Half-Angle, and Reduction Formulas
- 9.4Sum-to-Product and Product-to-Sum Formulas
- 9.5Solving Trigonometric Equations
- Chapter Review
- Exercises
Chapter 10. Further Applications of Trigonometry
- Introduction to Further Applications of Trigonometry
- 10.1Non-right Triangles: Law of Sines
- 10.2Non-right Triangles: Law of Cosines
- 10.3Polar Coordinates
- 10.4Polar Coordinates: Graphs
- 10.5Polar Form of Complex Numbers
- 10.6Parametric Equations
- 10.7Parametric Equations: Graphs
- 10.8Vectors
- Chapter Review
- Exercises
Chapter 11. Systems of Equations and Inequalities
- Introduction to Systems of Equations and Inequalities
- 11.1Systems of Linear Equations: Two Variables
- 11.2Systems of Linear Equations: Three Variables
- 11.3Systems of Nonlinear Equations and Inequalities: Two Variables
- 11.4Partial Fractions
- 11.5Matrices and Matrix Operations
- 11.6Solving Systems with Gaussian Elimination
- 11.7Solving Systems with Inverses
- 11.8Solving Systems with Cramer's Rule
- Chapter Review
- Exercises
Chapter 12. Analytic Geometry
- Introduction to Analytic Geometry
- 12.1The Ellipse
- 12.2The Hyperbola
- 12.3The Parabola
- 12.4Rotation of Axes
- 12.5Conic Sections in Polar Coordinates
- Chapter Review
- Exercises
Chapter 13. Sequences, Probability, and Counting Theory
- Introduction to Sequences, Probability, and Counting Theory
- 13.1Sequences and Their Notations
- 13.2Arithmetic Sequences
- 13.3Geometric Sequences
- 13.4Series and Their Notations
- 13.5Counting Principles
- 13.6Binomial Theorem
- 13.7Probability
- Chapter Review
- Exercises
Appendix A. Proofs, Identities, and Toolkit Functions
Answer Key
Index

Ancillary Material

OpenStax

About the Book

Algebra and Trigonometry 2eprovides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses.Algebra and Trigonometry2eoffers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

TheAlgebra and Trigonometry 2erevision focused onimproving relevance and representation as well as mathematical clarity and accuracy. Introductory narratives, examples, and problems were reviewed and revised using a diversity, equity, and inclusion framework. Many contexts, scenarios, and images have been changed to become even more relevant to students’ lives and interests.To maintain our commitment to accuracy and precision, examples, exercises, and solutions were reviewed by multiple faculty experts. All improvement suggestions and errata updates from the first edition were considered and unified across the different formats of the text. The first edition ofAlgebra and Trigonometryby OpenStax is available in web viewhere.

About the Contributors

Author

Jay Abramson has been teaching Precalculus for over 35 years, the last 20 at Arizona State University, where he is a principal lecturer in the School of Mathematics and Statistics. His accomplishments at ASU include co-developing the university’s first hybrid and online math courses as well as an extensive library of video lectures and tutorials. In addition, he has served as a contributing author for two of Pearson Education’s math programs, NovaNet Precalculus and Trigonometry. Prior to coming to ASU, Jay taught at Texas State Technical College and Amarillo College. He received Teacher of the Year awards at both institutions.

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