Differential Equations with MATLAB: Exploration, Application and Theory
MATLAB GUIs
Instructions:
In order to use the MATLAB GUIs, you must first download all the files from the folder "McKibben_Webster_Book_GUIs", posted below. By clicking the link below, a folder of the "Required Files" will be downloaded to your computer. Open up the downloaded "McKibben_Webster_Book_GUIs" folder. Now, in order for the GUI to run following the instructions provided in the text, the "Current Folder" for MATLAB must be set to "McKibben_Webster_Book_GUIs"
Partial Solutions and Hints to Problems
Partial Solutions and Hints to Exercises, MATLAB Exercises, and EXPLORE!s
The following files contain partial solutions and hints to the multitude of exercises, MATLAB exercises, and EXPLORE! projects found in the textbook.
Acknowledgement! Andrew Stump and Gavin Hobbs both put forth a concerted effort in beta-testing the GUIs in Chapters 1, 2, 9, and 11, as well as working through all of the exercises and projects. If it were not for their efforts, these four files would not have come to fruition!
| Chapter | Partial Solutions and Hints File |
|---|---|
| 1 | McKibben Webster Chapter 1 |
| 2 | |
| 3 | McKibben Webster Chapter 3 |
| 4 | McKibben Webster Chapter 4 |
| 5 | McKibben Webster Chapter 5 |
| 6 | |
| 7 | McKibben Webster Chapter 7 |
| 8 | |
| 9 | McKibben Webster Chapter 9 |
| 10 | |
| 11 | McKibben Webster Chapter 11 |
Additional Resources with this Textbook
Additional resources (books, journal articles, websites, JAVA applets and demonstrations, etc.) have been gathered for many of the different models developed in this textbook. For each of the models listed in the left column of the table below, an Excel spreadsheet containing links, each with a description of the resource and an assessment of its utility, is provided in the right column.
Acknowledgment. This work is the result of the concerted effort of WCU mathematics graduate students Michael Clemons, Chris Hegland, Gavin Hobbs, and Brian Kolins during the 2014 – 2015 academic year. Each of them spent countless hours scouring the Internet in search of the best resources. Kudos to you all!
| Mathematical Model | Excel Spreadsheet of Links |
|---|---|
| Autocatalyses and Chemical Reactions involving PDEs | Autocatalyses and Chemical Reactions involving PDEs |
| Chemical Kinetics | Chemical Kinetics |
| Combat and Neural Networks | Combat and Neural Networks |
| Diffusion | Diffusion |
| Pharmacokinetics | Pharmacokinetics |
| Projectile Motion Models | Projectile Motion Models |
| Spatial Pattern Formation | Spatial Pattern Formation |
| Springs and Electric Circuits | Springs and Electric Circuits |
| Uniform Mixing Models | Uniform Mixing Models |
| Wave Equations | Wave Equations |
Sample Student Projects
| Mathematical Model | PowerPoint Presentation | Report |
|---|---|---|
| Chemical Kinetics | Chemical Kinetics | Chemical Kinetics |
| Modeling Earthquakes | Modeling Earthquakes | Modeling Earthquakes |
| Neural Networks | Neural Networks | Neural Networks |
| Projectile Motion | Projectile Motion | Projectile Motion |
| Respiration Model | Respiration Model | Respiration Model |
| Spring Mass Systems | Spring Mass Systems | Spring Mass Systems |
