Multiple Authors, Openstax College
Pub Date: 2014
ISBN 13: 978-1-9381683-4-5
Conditions of Use
The textbook covers all standard area and ideas for a Precalculus course. It also provides some advanced contents that are linked to Calculus. A read more
The textbook covers all standard area and ideas for a Precalculus course. It also provides some advanced contents that are linked to Calculus. A review of basic algebra contents at the beginning of the text could have added good flavor to the textbook. In general, the textbook is a comprehensive one that gives instructors flexibility to choose from for a semester course.
All of the chapters that I reviewed and problems that I worked, I found to be error-free and unbiased.
I found most of the application problems that I read relevant. I believe it will remain relevant for a long time.
The text was written lucidly using accurate terminology. At the end of each chapter, the text provides definitions to key terminologies, which makes easy to access for students.
Each section and each chapter has consistent design that simplify the usage of the book. Each section started with a summary that gives a glimpse picture of the main idea of the section before delving into the detailed idea of the section. Then followed by key equations, key notes, exercise, and glossary of the section. In addition, the book suggests access to online resources for additional instruction and practice with topic of each section.
The chapters in the book are subdivided into more specific sections, and each section also provides full concepts for the topic under each section. This consistent lay out allows instructors to easily re-order the chapters and topics according to their needs.
The chapters and sections of the book is well organized and designed in a comprehensible manner. Topics in each chapter and section has consistent lay out, which makes easy to navigate. In addition, the PDF file suitably displays colorfully the different topics and titles of each chapter.
The interface of the book is great. I found out that all the images are clear. I do recommend viewing the PDF file of the book as it links the index to appropriate page in the text easily. In addition, in the review section of each chapter, the specific example that goes with specific topic is appropriately linked, which makes it easy to navigate.
I did not find any grammatical error in the text.
All of the examples and problems I reviewed are culture and gender neutral. I did not find anything that I would be considered culturally insensitive or offensive.
The fact that this book has all the necessary topics and concepts that anyone would look for a precalculus course, and the fact that it is well organized with superb interface features, it is definitely a book that I would consider adopting for my future precalculus course.
It seems to cover all topics of Precalculus and also covers some preview of Calculus. However, the text does not cover review of Algebra. If it also read more
It seems to cover all topics of Precalculus and also covers some preview of Calculus. However, the text does not cover review of Algebra. If it also covers a little bit of reviews such as basic factoring and other topics from Algebra, then it would be better.
I have not found any error/mistake except one minor one. On p.386, Example #11 contains an error in the solution. I am guessing that the author originally intended to have an example with two minuses but included typos.
Due to the nature of the topic, I cannot consider any such issues.
Most of parts are very clearly explained (including a lot of graphs for visualization of the concepts).
Due to the nature of the topic, I do not think this question is relevant to this textbook (most of the concepts must be build up based on other concepts).
I have not found any interface issues yet.
I have not found any grammatical error yet.
I have not found any parts that are culturally insensitive or offensive in any way.
The textbooks is well organized and written. I do not expect any problem to use this textbook as the main textbook of my Precalculus class.
More important than the generous selection of topics that this text includes is the inviting way in which the mathematics is presented, through read more
More important than the generous selection of topics that this text includes is the inviting way in which the mathematics is presented, through engaging and colorful pictures, tables, graphs, and examples from real life (for example, in introducing logarithms via application to the Richter scale). The engaging style is essential to building an understanding that is comprehensive not only in breadth of topics but also in its relevance, interest and hands-on feel for the student.
The text is accurate, in as much as I have read.
The mathematics is classical, but presented in a modern-day setting that includes examples and motivation from current and recent events; these will be both easy to update and interesting for years to come.
The concepts are presented without clutter, in a friendly yet accurate way. The "Q&A" questions and answers add to the interactive feel. In places, some formalism seeps in, but this is dispelled by clear pictures and examples and practice questions for the student to try. The "How To" boxes are generally helpful, but at times they reduce creative thinking to an algorithm without ample explanation for why it works (as for example, in finding the vertex of a quadratic function). Here the instructor will need to fill in the reasoning, letting the text serve as a reference and summary. The real-world applications help make the mathematics more clear.
The text is consistent in both terminology and style.
The text is conveniently divided into smaller sections that can be easily located and studied at any point in the course.
The organization of the topics and the ideas within each topic follows a logical succession, while the modularity allows for any sub-topic to be studied with as much independence as possible.
The interface is uncluttered and easy to navigate. I have not had the opportunity to use this book yet, but my impression is that the students (and I) would find it easy and enjoyable to work with.
The grammar is good.
The examples are varied, from modern everyday life, and they come across as truly relevant (rather than contrived). At least one (about movies) I thought was insensitive, but there are plenty of good examples in the text.
I imagine that students will enjoy reading this book because of its friendly, interactive, example-oriented, uncluttered, and easy-to-navigate style. This is a book that I can see as a truly helpful learning companion.
Table of Contents
- Linear Functions
- Polynomial and Rational Functions
- Exponential and Logarithmic Function
- Trigonometric Functions
- Periodic Functions
- Trigonometric Identities and Equations
- Further Applications of Trigonometry
- Systems of Equations and Inequalities
- Analytic Geometry
- Sequences, Probability and Counting Theory
- Introduction to Calculus
About the Book
Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing College Algebra and Algebra and Trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses.
OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.
About the Contributors
Lead Author, Senior Content Expert
Jay Abramson, Arizona State University
Valeree Falduto, Palm Beach State College
Rachael Grosss, Towson State University
David Lippman, Pierce College
Melonie Rasmussen, Pierce College
Rick Norwood, East Tennessee State University
Nicholas Belloit, Florida State College, Jacksonville