Precalculus

(1 review)

star01star02star03star04star05

Carl Stitz, Lakeland Community College
Jeff Zeager, Lorain County Community College

Pub Date: 2013

ISBN 13:

Publisher: Stitz Zeager Open Source Mathematics

Read This Book

Conditions of Use

Attribution-NonCommercial-ShareAlike
CC BY-NC-SA

Reviews

  All reviews are licensed under a CC BY-ND license.

Learn more about reviews.

star01star02star03star04star05

Reviewed by Mike Weimerskirch, Lower Division Coordinator, University of Minnesota, on 7/16/2014.

The book is thorough in its treatment of topics. It assumes some algebra skills, the first five chapters will go too quickly for a student that … read more

 

Table of Contents

  • Chapter 1: Relations and Functions
  • Chapter 2: Linear and Quadratic Functions
  • Chapter 3: Polynomial Functions
  • Chapter 4: Rational Functions
  • Chapter 5: Furthur Topics in Functions
  • Chapter 6: Exponential and Logarithmic Functions
  • Chapter 7: Hooked on Conics
  • Chapter 8: Systems of Equations and Matrices
  • Chapter 9: Sequences and the Binomial Theorem
  • Chapter 10: Foundations of Trigonometry
  • Chapter 11: Applications of Trigonometry

About the Book

A casual glance through the Table of Contents of most of the major publishers’ College Algebra books reveals nearly isomorphic content in both order and depth. Our Table of Contents shows a different approach, one that might be labeled “Functions First.” To truly use The Rule of Four, that is, in order to discuss each new concept algebraically, graphically, numerically and verbally, it seems completely obvious to us that one would need to introduce functions first. (Take a moment and compare our ordering to the classic “equations first, then the Cartesian Plane and THEN functions” approach seen in most of the major players.) We then introduce a class of functions and discuss the equations, inequalities (with a heavy emphasis on sign diagrams) and applications which involve functions in that class.

The material is presented at a level that definitely prepares a student for Calculus while giving them relevant Mathematics which can be used in other classes as well. Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not to replace it. The answers to nearly all of the computational homework exercises are given in the text and we have gone to great lengths to write some very thought provoking discussion questions whose answers are not given. One will notice that our exercise sets are much shorter than the traditional sets of nearly 100 “drill and kill” questions which build skill devoid of understanding. Our experience has been that students can do about 15-20 homework exercises a night so we very carefully chose smaller sets of questions which cover all of the necessary skills and get the students thinking more deeply about the Mathematics involved.

About the Contributors

Author(s)

Carl Stitz, Professor of Mathematics at Lakeland Community College. Kent State University, PhD, Mathematics (Low Dimensional Topology).

Jeff Zeager, Professor at Lorain County Community College, Science and Mathematics Division. Kent State University, BS, MS, PhD, Pure Mathematics.