ME 201/MTH 281/ME 400/ CHE 400

Applications and Examples Each Mathematica example has two downloadable entries. The one on the left is an executable Mathematica notebook. In some cases (notebooks with many graphs) the output has been removed. After downloading the notebook you can restore the output by executing the notebook. The entry on the right is a pdf version of the example with all output retained (except for long graph sequences, for which only a few graphs are shown). The column in the middle shows which section of the class notes the example is from. In a few cases (for example the brief table of Fourier transforms), the item is just a pdf document.

 EXECUTABLE MATHEMATICA 8 NOTEBOOK RELEVANT SECTION OF CLASS NOTES MATHEMATICA 8 NOTEBOOK OR HANDOUT IN PDF Fourier Series for Square Wave.nb 2.1 Fourier Series for Square Wave.pdf 2.1 A Page from Fourier's 1807 Paper.pdf 2.1 Integrals Useful in Fourier Analysis Convergence of Fourier Series.nb 2.2, 2.3 Convergence of Fourier Series.pdf Fourier Sine and Cosine Series.nb 2.4 Fourier Sine and Cosine Series.pdf Heat Flow in a Slab.nb 3.1 Heat Flow in a Slab.pdf Irreversibility in Heat Flow.nb 3.1 Irreversibility in Heat Flow.pdf Contours for Laplace Equation.nb 3.2 Contours for Laplace Equation.pdf Far Field for Laplace Equation.nb 3.2 Far Field for Laplace Equation.pdf Guitar Modes.nb 3.4 Guitar Modes.pdf Eigenfunction Expansion .nb 4.2 Eigenfunction Expansion .pdf Newton's Law of Cooling.nb 5.1 Newton's Law of Cooling.pdf Fourier Transform in Mathematica.nb 6.2 Fourier Transform in Mathematica.pdf 6.2 Brief Table of Fourier Transforms .pdf Laplace Equation and Convolution.nb 6.3 Laplace Equation and Convolution.pdf Lord Kelvin and the Age of the Earth.nb 6.4, 6.5 Lord Kelvin and the Age of the Earth.pdf Legendre Polynomials.nb 7.3, 7.4 Legendre Polynomials.pdf Converg. of Legendre Expansions.nb 7.4 Converg. of Legendre Expansions.pdf Bessel Functions.nb 8.2 Bessel Functions.pdf Examples of Bessel Expansions.nb 8.3 Examples of Bessel Expansions.pdf Convergence of Bessel Expansions.nb 8.3 Convergence of Bessel Expansions.pdf Laplace Eq in a Cylinder/radial osc.nb 8.4 Laplace Eq in a Cylinder/radial osc.pdf Laplace Eq in a Cylinder/z osc.nb 8.4 Laplace Eq in a Cylinder/z osc.pdf Zeros of Bessel Derivatives .nb 8.5 Zeros of Bessel Derivatives .pdf Coffee Cup Oscillations.nb 8.5 Coffee Cup Oscillations.pdf