Slope fields make differential equations visible. Learn how to construct and read direction fields, use isoclines, sketch IVP solution curves, distinguish zero-slope curves from equilibria, understand uniqueness, analyze logistic stability, and apply Euler’s method through exact worked examples.
Eigenvalues and eigenvectors reveal the special directions that unlock Linear Algebra and Differential Equations. In this Woody Calculus visual lesson, learn how Av = λv explains matrix transformations, scaling, diagonalization, matrix powers, solution modes, stability, phase portraits, and why eigenvalues predict long-term behavior in systems before you even solve them.