Slopes vs Math Beauty

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.

Explore the infinite charm of mathematics with "Math Beauty"! This app takes you into the wonderful world of mathematics. Stereograph: Scroll the small gear to draw various flower curves. You can adjust the small gear and slider position to draw different mathematical flowers. Trigonometric Functions: Slide the angle to dynamically view trigonometric functions such as sine and cosine, making it easy to understand the relationship between the unit circle and trigonometric functions. Classic Curves: Hearts, Lorenz attractors, springs, logarithmic spirals, mutant rose curves, Koch snowflakes, Levy curves, Sierpinski triangles, H fractals, and more. You can adjust the equation parameters to generate different curves. Download and experience it now.