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
- Ch 1 Dimensions and Units DOCX PDF
- Ch 2 Ratios and Percentages DOCX PDF
- Ch 3 Charts and Graphs DOCX PDF
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.
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- Errata for original text (pdf)
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.