Visual MATH 4D Lite vs Polynomial Solver Step by Step

Visual MATH 4D Lite is a graphical calculator and lets you visualize your mathematical equations in 2D, 3D and 4D with animated graphs. It supports multiple types of equations like cartesian, polar, spherical and parametrical graphs. Features: - support for vectors and matrices - support for trigonometrical functions - support for complex numbers - support for complex graphs (draw real part & imaginary part) - support for cartesian graphs like f(x) and f(x,y) - support for polar graphs - support for spherical graphs - support for parametrical graphs - support for n-th derivations - support for definite integrals - support for sum, product, round like floor and ceil - support for constants - support for sharing content - gesture support for scaling and rotating graphs - support for graph animations - support for multiple graphs - support for graph legends - and more ...

Polynomial Solver Step by Step is a calculator, and, more importantly, a teaching tool. It is designed to help students of both basic and advanced levels. Basic Algebra functions: 1. Polynomial multiplication. 2. Polynomial long division with step by step explanation. 3. Algorithm for finding rational roots consisting of the following: a. Finding all possible rational roots. b. Eliminating the roots outside bounds. c. Performing polynomial long division for each of the roots. d. Adjusting bounds based on long division results if appropriate. Iterative polynomial solving algorithms for advanced-level students: 1. Durand-Kerner method. 2. Aberth method. 3. Newton method with both real and complex starting points. 4. Global (also known as "damped") Newton method with both real and complex starting points. 5. Laguerre method with both real and complex starting points. 6. Bairstow method. 7. Muller method. 8. Eigenvalues of ‘companion matrix’ (demonstration of QR algorithm for eigenvalue calculation is available in our “Matrix Solver Step by Step" app). Interactive graphs are available for: 1. Polynomial functions and their derivatives. 2. Aberth and Durand-Kerner method points on complex plane. 3. Newton, global Newton, Laguerre, and Muller algorithm steps. 4. Newton and global Newton method fractals / convergence images on complex plane 5. Laguerre method convergence images on complex plane 6 Bairstow method convergence images depending on initial approximation values. 7 Muller method convergence images depending on initial approximation values. (Images 4-7 have adjustable settings for area, resolution and shading). Links to online references are included. Please write to us if you like to have new features / chapters added! Developers welcome any feedback, please write to us at graphmath@aol.com.