Precalculus An Investigation of Functions Edition 1.5
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David Lippman
Melonie Rasmussen
Cut Rita Zahara
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Precalculus
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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.
David H. Collingwood
K. David Prince
Matthew M. Conroy
University of Washington
Cut Rita Zahara
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Precalculus: An Investigation of Functions (Includes Trig) 2nd Ed
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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.
David Lippman
Melonie Rasmussen
http://www.opentextbookstore.com/details.php?id=30
Cut Rita Zahara
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Precalculus: An Investigation of Functions (Includes Trig) 1st Ed
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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.
David Lippman
Melonie Rasmussen
http://www.opentextbookstore.com/details.php?id=2
Cut Rita Zahara
Creative Commons
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Functions and Relations
Part of the NCSSM Online AP Calculus Collection: This video deals with transformations of functions including parent functions and the library of functions and relations. http://www.dlt.ncssm.edu
Please attribute this work as being created by the North Carolina School of Science and Mathematics. This work is licensed under Creative Commons CC-BY http://creativecommons.org/licenses/by/3.0
Help us caption & translate this video!
http://amara.org/v/GAfN/
http://youtu.be/YbQOvkgrGrU
NCSSMDistanceEd<br />published via YouTube.com
2012-01-10T14:29:14.000Z
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