Slopes vs Linear Algebra Visualizer

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.

Ever wondered what a matrix is really doing? Whether you're learning it yourself or teaching students who are stuck, this app lets you visualise and manipulate matrix transformations, so you can finally see how and why they work. WHY IT CLICKS Most apps show you the answer. This one shows you why. The columns of a matrix are just where the basis vectors î and ĵ land. Column one is red. Column two is green. Follow those colors from your input, through the transformed vectors, into the step-by-step math. One number, traced all the way to its effect. With Linear Algebra Visualizer you: - Can finally build the visual intuition of linear algebra - Understand the math behind each transformation - Visually see why TRS order matters - Understand the effect of adding multiple matrices and translations - Watch eigenvectors and eigenvalues come alive BUILT FOR - Students surviving their first linear algebra course - Graphics programmers who want intuition, not just formulas - Teachers who need a live demo that lands - Anyone who's stared at a matrix and thought "but why does this work?" - Visual thinkers who've struggled to picture it all in their head Stop memorizing matrices. Start seeing them. Download Linear Algebra Vizualiser: Rotate, Scale, Shear, Reflect, Translate and learn to understand transformations visually. Ever wondered what a matrix is really doing? Whether you're learning it yourself or teaching students who are stuck, this app lets you visualise and manipulate matrix transformations, so you can finally see how and why they work. WHY IT CLICKS Most apps show you the answer. This one shows you why. The columns of a matrix are just where the basis vectors î and ĵ land. Column one is red. Column two is green. Follow those colours from your input, through the transformed vectors, into the step-by-step math. One number, traced all the way to its effect. With Linear Algebra Visualiser you: - Can finally build the visual intuition of linear algebra - Understand the math behind each transformation - Visually see why TRS order matters - Understand the effect of adding multiple matrices and translations - Watch eigenvectors and eigenvalues come alive BUILT FOR - Students surviving their first linear algebra course - Graphics programmers who want intuition, not just formulas - Teachers who need a live demo that lands - Anyone who's stared at a matrix and thought "but why does this work?" - Visual thinkers who've struggled to picture it all in their head Stop memorising matrices. Start seeing them. Download Linear Algebra Visualiser: Rotate, Scale, Shear, Reflect, Translate and learn to understand transformations visually. Terms of Use (EULA): https://www.apple.com/legal/internet-services/itunes/dev/stdeula/