Living Example Problems

The example problems that use an ordinary differential equation (ODE) solver are referred to as "living example problems" because the students can load the program directly on their own computers in order to study it. Students are then encouraged to "play" with the example's key variables and assumptions. Students can change parameter values, such as the reaction rate constants, to learn to deduce trends or predict the behavior of a given reaction system, and gain a better understanding of the concepts being studied. Using the living example problems provides students with the opportunity to practice critical and creative thinking skills as they explore the problem and ask "what if...?" questions.


Most of the Living Example Problems use the differential equation solver or the nonlinear euation solver in Polymath™. POLYMATH is a user-friendly interactive numerical analysis package that is available for educational and professional use. It is widely used by many colleges and universities in the United States and throughout the worldwide. For more information visit The Fogler Polymath Site. The Polymath code to solve the examples from the book are included on the DVD and ordered by chapter in the html/living directory. You can load these files in Polymath™ and edit the equations to see the effect of the changes in the code on the results. For a free 15 day trial of the polymath software, click here

Note: The Living Example Problems should be opened using Internet Explorer. There may be some problems using Safari and Firefox to obtain and run the Polymath ™ files. To run these files with Safari or Firefox, right-click on the polymath file links and choose "Save Link As..." This will allow you to save the Polymath ™ file to the location that you choose.


Due to popular demand, Living Example Problems have been solved using Matlab as well. For more information on Matlab, visit Matlab's website

Wolfram Mathematica

CLICK HERE to view a brochure that gives you a quick introduction to Wolfram CDF Player and Mathematica 9.

Mathamatica gives immediate access to a huge range of powerful interactive capabilities. Its output is an interactive object containing one or more controls (sliders, etc.) that you can use to vary the value of one or more parameters. Tabs can be used to view different profiles. In addition, the slider next to each variable can be adjusted redefine parameters at ease. Clicking the icon next to the slider allows the user to open a panel that allows you to see the numerical value and also play animations. To view these animations, Wolfram CDF Player can be downloaded here for free.


AspenPlus software was developed to simulate and model chemical processes. A few Living Example Problems make use of AspenTech to confirm results from Polymath and other problem solving methods. More information on AspenPlus can be found here.

Chapter Examples

You can browse to the Living Example Problems of the chapter you want by clicking the corresponding link below:

  1     2     3     4     5     6     7     8     9     10     11     12     13