Precaclulus, An Investigation of Functions by David Lippman
Precaclulus, An Investigation of Functions - Table of Contents
1. Functions
2. Linear Functions
3. Polynomial and Rational Functions
4. Exponential and Logarithmic Functions
5. Trigonometric Functions of Angles
6. Periodic Functions
7. Trigonometric Equations and Identities
8. Further Applications of Trigonometry
What You Will Learn in Precaclulus, An Investigation of Functions
"Precalculus: An Investigation of Functions" by David Lippman and Melonie Rasmussen is a comprehensive "precalculus textbook" designed to prepare students for calculus. Developed at Pierce College, it covers a full two-quarter pre-calculus sequence with a strong focus on understanding various types of functions, including linear, polynomial, rational, exponential, and logarithmic functions. The textbook emphasizes graphical behavior, interpretation, and real-world problem solving, helping students build a strong conceptual foundation.
The book also integrates trigonometry, teaching students through both circle and triangle approaches. It revisits identities, equations, and solving techniques throughout, ensuring students gain fluency in essential trigonometric concepts. Clear examples and exercises reinforce understanding, while step-by-step explanations help learners apply concepts confidently.
As an "open-access" "functions guide", this textbook is freely available online in multiple formats, making it accessible to all students and educators. Additional resources include sample syllabi, lecture notes, quizzes, and worksheets for instructors. Overall, Lippman and Rasmussen’s "Precalculus: An Investigation of Functions" provides a well-structured, engaging, and thorough foundation in precalculus, preparing learners effectively for the challenges of calculus.
Book Details & Specifications
Title:
Precaclulus, An Investigation of Functions by David Lippman
Publisher:
David Lippman
Year:
2011
Pages:
704
Type:
PDF
Language:
English
ISBN-10 #:
1548407127 (1), 1548407720 (2)
ISBN-13 #:
978-1548407124 (1), 978-1548407728 (2)
License:
CC BY-SA 3.0 US
Amazon:
Amazon
About the Author: David Lippman
The author
David Lippman
is a Professor of Mathematics at Pierce College in Fort Steilacoom, Washington. He holds a master's degree in mathematics from Western Washington University and has been teaching at Pierce College since Fall 2000. In addition to his teaching responsibilities, Lippman has developed and taught online courses in various mathematical subjects, including Precalculus, Business Precalculus, and Business Calculus. He is also the founder of MyOpenMath, an open-source online homework system designed to provide free and customizable math assessments. Melonie Rasmussen is a Mathematics Instructor at Pierce College, having joined the institution in Fall 2002. She earned her master's degree in mathematics from Western Washington University and previously taught for the Puyallup School District for six years after receiving her teaching credentials from Pacific Lutheran University.
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