Differential equations, seen geometrically
How one slope field decides the solution curves, how they split by initial value, and the error of step-by-step integration.
Vector fields
3 pieces about this concept, across works, topic guides, and exam visualizations.
Topics
Works
Vector field streamlines
Paths found by integrating along a vector field, a geometric picture of the solutions of a differential equation.
Basic patterns of a vector field
Sources, sinks, vortices, and saddles, the typical vector fields that give a geometric vocabulary for direction fields.