Touch Waves vs Matrix

Touch Waves is an educational application helpful for a high-school or university course of wave physics. It contains not only a memorandum of the basic equations, but it also contains approximately thirty animations (some in 3D) illustrating the various concepts of wave physics. More than 70 screens of wave physics! For teachers !! Connect your iPad to a video projector and show the animations to your students in classroom. List of covered subjects: Vibration: Harmonic oscillator, damped oscillator, driven oscillator. Wave on strings: Introduction, reflection and transmission, standing waves. Acoustics: Introduction, reflection and transmission, Doppler effect. Optics: Geometric optics, wave optics, polarization, Jones formulation of polarization, reflection and transmission, interference, diffraction, Doppler-Fizeau effect. Each section contains at least one animation. List of animations: Motion of harmonic oscillator, Motion of damped oscillator, Motion of driven oscillator, Progressive transversal wave, Reflection and transmission on string, Standing waves on string, Progressive longitudinal wave, Beating wave, Acoustic frequency, Acoustic Spectrometer, Acoustic Doppler effect, Snell-Descartes’ law, Law of spherical interface, Law of thin lens, Law of thick lens, Law of spherical mirror, Geometric aberration, Chromatic aberration, Visible spectrum, Electromagnetic wave in 3D, Electromagnetic spectrum, Absorption and emission of photon, Types of polarization, Types of polarization in 3D, Fresnel’s coefficients, Reflection and transmission in 3D, Degree of polarization in reflection, Interference in 3D, Young's interferometer, Michelson's interferometer, Fabry-Pérot interferometer, Diffraction by rectangular aperture, Diffraction by circular aperture.

The MatrixAnalysis is carefully designed to be a simple and elegant app. This app has tools to help you analyze matrices like finding eigenvalues and eigenvectors, diagonalization, QR, SLU, LU factorization. This app can also be used to do matrix operations like, finding inverse, determinant, dot product, cross product, and much more. You can also do elementwise operations and scalar operations. Want to do fast fourier transform (FFT) or inverse fourier transform (IFFT), this app is capable of IFFT Want to find an pseudo inverse of a non-square matrix, this app has you covered Want to know a rotation matrix for a given angle or rotate a vector by the given angle? This app has you covered. The expressions and the solutions are displayed in beautiful mathematical way. Once the expressions are solved, a beautifully written solutions are created that you can share with other or save it locally. It automatically saves your hard work locally on your device so you can come back and pick up from where you left off as your great effort will not be lost. There is also a Study page to help you with learning some important matrix vector formulas and some useful technique. This is an app for all student groups. From high school to college to university students. Be creative. Enjoy the app!