DragginMath vs Polynomial Solver Step by Step

DragginMath is a new way to teach, learn, and do algebra. This app converts equations into interactive pictures. Get serious about math: turn equations into playthings! Yes, it's fun, but this is definitely not a toy. See the internal structure of equations. Then commute, associate, distribute, factor, simplify, and solve by dragging math under your fingertips. This is real algebra, not something that sort of looks like it. Not a function-graphing app. Not restricted to a few limited examples or prepared problem sets. This app can do an astonishing amount of symbolic math, but it is aimed at the algebraic novice. Do you or your students need help understanding the order of operations? Unsure what the various algebraic properties are or how to use them? Is solving an equation just some arcane mystery? DragginMath lets you see and experiment with symbolic math concepts. You still have to direct the work yourself, but without burning through erasers or reams of paper, and without needing someone to check your work. DragginMath is not curriculum. It is a tool, and it is curriculum-independent. If your textbook has expressions and equations in it, DragginMath can help you teach it, or learn it. You might even enjoy doing it. Are you a teacher? Create animated lessons just by using the app as you normally would. Add annotations and homework problems, then email them to your class within the app. Students watch your lessons, do their homework, and email it back to you within the app. Returned homework is formatted for easy management.

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.