# Mathematica Programs

A Review

Chapter One (A Mathematica Tutorial (PDF version))

Second Order Equations

Phase Plane (First Order Systems)

Phase Plane (Second Order Equations)

Phase Plane Using Stream Functions

Parcel Evolution Using Stream Functions

Fourier Sine Series (Using Integrate)

Fourier Cosine Series (Using Integrate)

Fourier Series (Using Integrate)

Heat Equation (Dirichlet Problem)

Plotting Tangent Lines

Plotting Normal Lines

Gradient, Divergence, and Curl

Computer Assignment 1

Reflection-Transmission and the Wave Equation

The Rayleigh-Benard Flow

The Galerkin Method in Mathematica

A Comparison of Three Gyres in Mathematica

Tornado simulated in Mathematica (Serrin's Swirling Vortex)