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The best way to learn a new programming language, such as Matlab, and the only way to really develop experience with a variety of problem-solving strategies and numerical techniques is to be exposed to a variety of good examples that illustrate the most important features of interest. My approach to teaching Matlab and Applied Numerical Methods follows this philosophy and, as such, my goal was to provide the students with as many illustrative examples as possible. Towards this goal, I have generated a series of completely worked-out applications as an additional learning resource for this course. In some cases, the examples are pretty simple, with the goal of highlighting one or two key concepts. In other cases, a fairly comprehensive analysis of a particular system is given, with the goal of showing how to tackle some more complicated problems that require the integration of several tools or techniques. In all cases, there is something significant to be gained from the examples, so I strongly encourage you to put this material to good use. Have fun...
A list of the illustrative applications currently available, by lesson, is given below:
| Lesson 1: Getting Started With Matlab |
Title of Demo |
Documentation File |
Matlab Files |
| Pendulum Dynamics (discussed as part of Lesson 1) |
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| Maxwell Boltzmann Distribution |
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| Laminar vs. Turbulent Flow in a Pipe |
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| Pipe Insulation Considerations |
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| Lesson 2: Array and Matrix Operations in Matlab |
Title of Demo |
Documentation File |
Matlab Files |
| Sand Pit Utilization |
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| Maxwellian Distribution Revisited |
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| Projectile Motion -- A Bottle Cap Tossing Simulation |
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| Lesson 3: Programming in Matlab |
| Title of Demo |
Documentation File |
Matlab Files |
| Hurricane Edouard (Aug. 21 - Sept. 3, 1996) |
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| Heat Transfer in a Rectangular Fin |
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| Measurement Error in a Temperature Probe |
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| Lesson 4: Numerical Errors and Related Topics |
| Title of Demo |
Documentation File |
Matlab Files |
| On Evaluating Infinite Series -- An Example |
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| Evaluating and Plotting Space-Time Temperature Distributions |
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| Introduction to Finite Difference Methods |
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| Lesson 5: Root Finding and Polynomial Manipulations |
| Title of Demo |
Documentation File |
Matlab Files |
| Friction Effects in Pipe Flow |
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| Energy Balance on a Conducting Rod |
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| Comprehensive Analysis of a Slanted Gate |
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| Lesson 6: Systems of Linear and Nonlinear Equations |
| Title of Demo |
Documentation File |
Matlab Files |
| Reaction Stoichiometry |
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| A Two-Pipe Parallel Flow System |
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| On the Convergence of Iterative Methods |
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Last updated by Prof. John R. White (February 2020)
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