Quantitative Reasoning

and the Environment

Mathematical Modeling in Context

Authors: Greg Langkamp and Joseph Hull

This is a free, open source textbook ideal for an advanced high school or college-level "liberal arts" math course. See links below to download the full text or individual sections. Use the pull-down menus at the top of this page to find chapter projects and data, and outdoor exercises. All materials at this website are licensed under under a Creative Commons Attribution-Share Alike 4.0 International License.

Full Textbook Download: PDF

Student Solutions Manual (Odd Exercises): PDF

Individual sections below:

Essential Numeracy

Function Modeling

Difference Equation Modeling

  • Ch 7 Introduction to Difference Equations DOCX PDF
  • Ch 8 Affine Solution Equations & Equilibrium Values DOCX PDF
  • Ch 9 Logistic Growth, Harvesting, and Chaos DOCX PDF
  • Ch 10 Systems of Difference Equations DOCX PDF

Elementary Statistics

  • Ch 11 Fundamentals of Statistics DOCX PDF
  • Ch 12 Standard Deviation DOCX PDF
  • Ch 13 Normal Distributions DOCX PDF

End Matter

Our text was originally published by Pearson Publishing Co. from 2007 to 2019. A few photos were changed for re-publication at this website, otherwise the contents are identical.

Authors: Greg Langkamp and Joseph Hull

Copyright 2007, Pearson Publishing Co.

Note #1: To report errors in either the original text, or the open-source text, contact qre.enviromath@gmail.com

Note #2: Instructors can request the Instructor Resource Manual (instruction hints as well as solutions to all exercises and projects) by emailing us at qre.enviromath@gmail.com. To verify that you are an instructor, please contact us using a school email address and provide a link to your faculty web page.