Elementary Mathematical Models:
An Accessible Development without Calculus, Second Edition
Kalman, Sacha Forgoston, and Albert Goetz
An Unusual Approach
to General Education Mathematics. Elementary
Models offers instructors an alternative to standard college algebra,
quantitative literacy, and liberal arts mathematics courses. Presuming
only a background of exposure to high school algebra, the text
introduces students to the methodology of mathematical modeling, which
plays a role in nearly all real applications of mathematics. A course
based on this text would have as its primary goal preparing students to
be competent consumers of mathematical modeling in their future
studies. Such a course would also provide students with an
understanding of the modeling process and a facility with much of the
standard, non-trigonometric, content of college algebra and
For more details about the goals of instruction and what the course
covers, see the Preface
and Table of Contents.
Published by the American Mathematical Society. See this page for details
about course adoptions, examination or desk copies, and related matters.
Great Writing. The lead author
is known for mathematical exposition, with multiple MAA
awards. Here are some samples from the book:
Innovative Instructional Goals and Content
- Combines important aims
of Quantitative Literacy, Liberal Arts Mathematics, and traditional
Algebra and Precalculus courses
- Contextually rich exposition of methods and sample
- Coherent narrative story line through entire text
- Strong conceptual emphasis on modeling and applications
- Tightly integrated curricular vision, instructional
goals, and pedagogical approach. See the preface.
A Wealth of Real World Examples and
Exercises: Atmospheric Carbon Dioxide, World Copper
Production, Methicillin-resistant Staphylococcus
Aureus (MRSA) infections, Page Views of a Justin Bieber
Video, Cumulative iPod Sales, Fuel Consumption Aboard a
Communications Satellite, Laser Vision Correction, Repeated Medication
Doses, Computer Network Connectivity, among others.
Carefully Crafted Homework Exercises
- More than 1,000
exercises, with worked out solutions or answers for about half
- Consistent inclusion of reading comprehension,
algebraic skills, and contextualized modeling problems
- Additional enrichment exercises in almost all sections
to challenge even the strongest students
Strong Technology Support
- Separate Technology
Guide covering spreadsheets, calculators, web based apps
- Collection of excel
spreadsheets provides easy numerical and graphical exploration of
difference equation models. By trial and error, students can fit
difference equation models or explicit elementary functions to data
- Use of technology consistently encouraged throughout
Support for Instructors. Additional resources
available through the AMS (and so inaccessible to students) include
- Detailed Instructors Guide. This discusses such
aspects of the course as Reading and Writing, Exercises Worksheets
Exams, Clicker Questions, and
Technology. It gives a more specific description of the student
audience and the necessary algebraic background. Access to a
sample syllabus and other course materials is also included. In
addition, there are many tips and comments specific to individual
sections of the text.
Questions. This is a collection of multiple choice and
true/false items suitable for class
discussion, or exams and quizzes. See this overview of Clicker Questions.
- Extended exercise answers and solutions volume, with
problem statements for all the exercises and answers or solutions for
about three quarters of them.
A Beautiful Cover.
judge the book on that basis!
The striking photograph of polar bears dramatizes the impact of shrinking sea ice. Superimposed is a
graph from one model for sea ice extent from an example in the