Graphing Calculator AR vs Polynomial Solver Step by Step

Graphing Calculator lets you visualize algebra and calculus interactively and experience 3D graphs in augmented reality on devices which support AR. Graph functions, implicit relations, parametric curves and surfaces, inequalities, points, vectors, contour and density plots, color maps, vector fields, ordinary differential equations, surfaces of revolution, coordinate transformations, conformal maps and complex-valued curves, surfaces, and ODEs. Use rectangular, polar, cylindrical, or spherical coordinates. Solve equations numerically, graphically, or symbolically. "Graphing Calculator is one of the best examples of elegant power and clean user interface of any application I've seen." - Bruce Horn, creator of the Macintosh Finder.

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.