Precalculus

From the preface, "These are notes for a course in precalculus, as it is taught at New York City College of Technology - CUNY (where it is offered under the course number MAT 1375). Our approach is calculator based. For this, we will use the currently standard TI-84 calculator, and in particular, many of the examples will be explained and solved with it. However, we want to point out that there are also many other calculators that are suitable for the purpose of this course and many of these alternatives have similar functionalities as the calculator that we have chosen to use. An introduction to the TI-84 calculator together with the most common applications needed for this course is provided in appendix A. In the future we may expand on this by providing introductions to other calculators or computer algebra systems."

https://academicworks.cuny.edu/cgi/viewcontent.cgi?article=1000&context=ny_oers

2015

Baihaqi

Creative Commons

PDF

English

Precalculus

Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving approaches in an accessible way.

https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/Precalculus-OP_88kwxYo.pdf

2014

Baihaqi

Creative Commons

PDF

English

Precalculus An Investigation of Functions Edition 1.5

Cut Rita Zahara

Creative Commons

Precalculus

There are key differences between the way teaching and learning takes place in high schools and universities. Our goal is much more than just getting you to reproduce what was done in the classroom. Here are some key points to keep in mind:

• The pace of this course will be faster than a high school class in

precalculus. Above that, we aim for greater command of the material, especially the ability to extend what we have learned to new situations.

• This course aims to help you build the stamina required to solve

challenging and lengthy multi-step problems.

• As a rule of thumb, this course should on average take 15 hours

of effort per week. That means that in addition to the 5 classroom hours per week, you would spend 10 hours extra on the class. This is only an average and my experience has shown that 12–15 hours of study per week (outside class) is a more typical estimate. In other words, for many students, this course is the equivalent of a halftime job!

• Because the course material is developed in a highly cumulative

manner, we recommend that your study time be spread out evenly over the week, rather than in huge isolated blocks. An analogy with athletics is useful: If you are preparing to run a marathon, you must train daily; if you want to improve your time, you must continually push your comfort zone.

• The pace of this course will be faster than a high school class in

precalculus. Above that, we aim for greater command of the material, especially the ability to extend what we have learned to new situations.

• This course aims to help you build the stamina required to solve

challenging and lengthy multi-step problems.

• As a rule of thumb, this course should on average take 15 hours

of effort per week. That means that in addition to the 5 classroom hours per week, you would spend 10 hours extra on the class. This is only an average and my experience has shown that 12–15 hours of study per week (outside class) is a more typical estimate. In other words, for many students, this course is the equivalent of a halftime job!

• Because the course material is developed in a highly cumulative

manner, we recommend that your study time be spread out evenly over the week, rather than in huge isolated blocks. An analogy with athletics is useful: If you are preparing to run a marathon, you must train daily; if you want to improve your time, you must continually push your comfort zone.

Cut Rita Zahara

Creative Commons

Precalculus: An Investigation of Functions (Includes Trig) 2nd Ed

The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.

The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation.

This book attempts to find a balance between a modern approach to precalculus focusing on applications, problem solving, and concepts and a traditional approach, emphasizing the basic skills needed for calculus.

The second edition adds sections on real and complex roots of polynomials, dot product, and a new chapter on conics.

License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.

The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation.

This book attempts to find a balance between a modern approach to precalculus focusing on applications, problem solving, and concepts and a traditional approach, emphasizing the basic skills needed for calculus.

The second edition adds sections on real and complex roots of polynomials, dot product, and a new chapter on conics.

License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.

http://www.opentextbookstore.com/details.php?id=30

Cut Rita Zahara

Creative Commons

Precalculus: An Investigation of Functions (Includes Trig) 1st Ed

The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.

The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation.

This book attempts to find a balance between a modern approach to precalculus focusing on applications, problem solving, and concepts and a traditional approach, emphasizing the basic skills needed for calculus.

License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.

The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation.

This book attempts to find a balance between a modern approach to precalculus focusing on applications, problem solving, and concepts and a traditional approach, emphasizing the basic skills needed for calculus.

License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.

http://www.opentextbookstore.com/details.php?id=2

Cut Rita Zahara

Creative Commons