http://falstad.com/mathphysics.html --------------------------------------------------------------------- These are some educational applets I wrote to help visualize various concepts in math, physics, and engineering. They were originally written in Java, but they've mostly been converted to Javascript, so you should be able to view them without a Java-capable browser. --------------------------------------------------------------------- Oscillations and Waves Ripple Tank (2-D Waves) Applet [ripple] Ripple tank simulation that demonstrates wave motion, interference, diffraction, refraction, Doppler effect, etc. [wave2d] 2-D Waves Applet Demonstration of wave motion in 2-D. [wavebox] 3-D Waves Applet Demonstration of wave motion in 3-D. Coupled Oscillations Applet [coupled] Demonstration of longitudinal wave motion in oscillators connected by springs. [dispersion] Dispersion Applet Dispersion and group velocity. Acoustics [loadedstri] Loaded String Applet Simulation of wave motion of a string. [membrane] Rectangular Membrane Waves Applet Vibrational modes in a 2-d membrane. Circular Membrane Waves Applet [circosc] Vibrational modes in a 2-d circular membrane (drum head). [barwaves] Bar Waves Applet Bending waves in a bar. [vowel] Vowels Applet The acoustics of speech. [modebox] Box Modes Applet Acoustic standing waves in a 3-d box. [interferen] Acoustic Interference Applet Generates audio interference between your speakers. Signal Processing [fourier] Fourier Series Applet Frequency analysis of periodic functions. Digital Filters [dfilter] Filters digital signals and plays the output on your speakers. Electricity and Magnetism: Statics 2-D Electrostatics Applet [emstatic] Demonstrates static electric fields and steady-state current distributions. 2-D Electrostatic Fields Applet [vector2de] Demonstrates electric fields in various 2-D situations; also shows Gauss's law. [vector3de] 3-D Electrostatic Fields Applet Demonstrates electric fields in various 3-D situations. [vector3dm] 3-D Magnetostatic Fields Applet Demonstrates magnetic fields in various situations. [motor] Electric Motor [new] [motor] Electric Generator [new] Electrodynamics [emwave1] 2-D Electrodynamics Applet (TE) Demonstrates electromagnetic radiation. 2-D Electrodynamics Applet (TM) [emwave1] Demonstrates electromagnetic radiation, induction, and magnetostatics. [circuit] Analog Circuit Simulator Applet Demonstrates various electronic circuits. [circuit] Analog Filter Applet Demonstrates electronic filter circuits. [embox] Cavity Modes Applet Electromagnetic waves in a 3-d rectangular cavity. [emguide] Waveguide Modes Applet Electromagnetic waves in a waveguide. [antenna] Antenna Applet Generates antenna radiation patterns. [diffractio] Fresnel Diffraction Applet Generates Fresnel diffraction patterns. Quantum Mechanics Hydrogen Atom Applet [qmatom] Shows the orbitals (wave functions) of the hydrogen atom. Molecular Orbitals Applet [qmmo] Shows the orbitals (wave functions) of the hydrogen molecular ion. 1-D Quantum Mechanics Applet [qm1d] Single-particle quantum mechanics states in one dimension. [qm1dcrysta] 1-D Quantum Crystal Applet Periodic potentials in one dimension. [qm2dcrysta] 2-D Quantum Crystal Applet Periodic potentials in two dimensions. 1-D Quantum Transitions Applet [qm1drad] Radiative transitions (absorption and stimulated emission) in one dimension. Atomic Dipole Transitions Applet [qmatomrad] Radiative transitions (absorption and stimulated emission) in atoms. 2-D Rectangular Square Well Applet [qm2dbox] Rectangular square well (particle in a box) in two dimensions. [qm2dcirc] 2-D Circular Square Well Applet Circular square well in two dimensions. [qm2dosc] 2-D Quantum Harmonic Oscillator Applet Harmonic oscillator in two dimensions. [qmrotator] Quantum Rigid Rotator Applet Particle confined to the surface of a sphere. [qm3dosc] 3-D Quantum Harmonic Oscillator Applet Harmonic oscillator in three dimensions. Linear Algebra Dot Product Applet [dotproduct] Demonstrates the dot product or scalar product of two vectors. [matrix] Matrix Applet Demonstrates 2-d transformations using a matrix. Vector Calculus 2-D Vector Fields Applet [vector] Demonstrates various properties of vector fields, including divergence and curl, etc. 3-D Vector Fields Applet [vector3d] Demonstrates vector fields in 3 dimensions. Includes the Lorenz Attractor and Rossler Attractor. Thermodynamics [gas] Gas Molecules Simulation Applet Demonstrates the kinetic theory of gases. [engine] Heat Engine Carnot cycle and other thermodynamic cycles.[new] Mechanics [harmonicos] Harmonic Oscillator Driving forces, resonance.[new] [coriolis] Coriolis Force Rotating reference frames.[new] [foucault] Foucault Pendulum Demonstrates earth's rotation.[new] Orbital Rendezvous [rendezvous] Pilot your ship to meet up with a target ship in a different orbit.[new] [lagrange] Lagrange Points Three-body problem.[new] [top] Symmetrical Top Rigid body motion of tops and gyroscopes.[new] Miscellaneous [diffeq] Ordinary Differential Equations Applet Visual differential equation solver. Euler's Equation Applet [euler] Demonstrates Taylor series expansion of complex exponentials. [fft] Discrete Fourier Transform Fourier transform in two dimensions.[new] Ray Optics Simulation [rayoptics] A ray optics simulator by Rick Tu and Johnson (with some contributions from me) Thermal Camera Pictures [thermal] Some sample pictures taken with a thermal (infrared) camera. (This is not an applet but I thought I'd throw it in here anyway.) Licensing info. Links to other educational sites with math/physics-related information or java applets useful for teaching: * Lissajous Lab based on a Java applet by Ed Hobbs * A Complex Mapping Viewer another converted Java applet * Another Hydrogen Orbital Applet WebGL-based. * Another Slit Diffraction Applet Also here are more applets from Northwestern University. * All About Circuits * MyPhysicsLab Simulations * Physlets * 3-D Molecular Dynamics * Resonata - A Wave Machine * PhET Interactive Simulations * All Satellites Currently Orbiting * a Circuit Diagram maker * Captured Lightning * Wondermagnet.com * Powers of 10 Applet * Another Fresnel Diffraction Applet * Acoustics and Vibration Animations * Earth-Moon Distance * Finding the Speed of Light with Marshmallows * Sky Chart * Errors and Misconceptions * Sound Lab And when you get tired of learning, here is some fun stuff: * Pong Simulation Circuit-level simulation of original 1972 Pong. * Java Maze Applet 3d perspective maze. * Acorn Envelope Applet Cool videogame sounds. --------------------------------------------------------------------- java@falstad.com