Slopes vs Graphs and Slopes

Slopes is an interactive environment for exploring graphical solutions to ordinary differential equations. Slopes consists of six activities with preloaded examples to get you started and the ability to input your own content. "Slopefields" and “Phase Planes” both plot vector fields and solutions corresponding to multiple initial conditions. “Systems” dynamically solves systems of up to six equations. “Oscillations” solves second-order constant coefficient equations and animates the corresponding spring-mass system or RLC circuit. “Methods” constructs numerical approximations of a single ordinary differential equation using Euler’s method as well as Second and Fourth Order Runge-Kutta methods. "Bifurcations" creates a bifurcation diagram and shows the stability of equilibrium points. Slopes is a playground for ODEs. You can use it for homework, in-class activities or a new research project.

"Graphs and Slopes" explains the concept of linear equations in Math. This app also explains the non linear equation in a nutshell. This app categorizes the graph concept into bite size information. The core points like y-intercepts, slopes and graph plotting are explained with examples. Review questions at the end of the category, asks questions pertaining to these concepts and even has the option to provide hints and answers to reinforce your understanding. Touch the images to zoom-in and out.