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Precalculus

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David H. Collingwood, University of Washington

K. David Prince, University of Washington

Matthew M. Conroy, University of Washington

Copyright Year: 2016

Publisher: A.T. Still University

Language: English

Formats Available

Conditions of Use

Free Documentation License (GNU)
Free Documentation License (GNU)

Table of Contents

  1. Warming Up
  2. Imposing Coordinates
  3. Three Simple Curves
  4. Linear Modeling
  5. Functions and Graphs
  6. Graphical Analysis
  7. Quadratic Modeling
  8. Composition
  9. Inverse Functions
  10. Exponential Functions
  11. Exponential Modeling
  12. Logarithmic Functions
  13. Three Construction Tools
  14. Rational Functions
  15. Measuring an Angle
  16. Measuring Circular Motion
  17. The Circular Functions
  18. Trigonometric Functions
  19. Sinusoidal Functions
  20. Inverse Circular Functions

About the Book

Prior to 1990, the performance of a student in precalculus at the University of Washington was not a predictor of success in calculus. For this reason, the mathematics department set out to create a new course with a specific set of goals in mind:

  • A review of the essential mathematics needed to succeed in calculus.
  • An emphasis on problem solving, the idea being to gain both experience and confidence in working with a particular set of mathematical tools.

This text was created to achieve these goals and the 2004-05 academic year marks the eleventh year in which it has been used. Several thousand students have successfully passed through the course.

This book is full of worked out examples. We use the the notation “Soluion.” to indicate where the reasoning for a problem begins; the symbol ?? is used to indicate the end of the solution to a problem. There is a Table of Contents that is useful in helping you find a topic treated earlier in the course. It is also a good rough outline when it comes time to study for the final examination. The book also includes an index at the end. Finally, there is an appendix at the end of the text with ”answers” to most of the problems in the text. It should be emphasized these are ”answers” as opposed to ”solutions”. Any homework problems you may be asked to turn in will require you include all your work; in other words, a detailed solution. Simply writing down the answer from the back of the text would never be sufficient; the answers are intended to be a guide to help insure you are on the right track.

About the Contributors

Authors

David H. Collingwood, Professor of Mathematics, University of Washington. Ph.D., University of Utah.

K. David Prince, Academic Coordinator, Mathematics Lecturer at University of Washington, Seattle WA. Master of Arts (MA), Mathematics, University of Denver.

Matthew M. Conroy, Director, Math Study Center. Senior Lecturer, Department of Mathematics, University of Washington. PhD, Mathematics, University of Colorado, Boulder.