Coordinate Systems

Reasoning about Left and Right Handed Coordinate Systems

A coordinate system can be defined by three perpendicular unit vectors. If the coordinate system is […]

Defining Del in Terms of Cartesian Coordinates

What is Del? In math, the symbol $\vec{\nabla}$ is called “del.” This symbol is defined […]

Integration

How to Integrate in a Spherical Coordinate System

Review of Integration Integration with Cartesian coordinates is simple. The general form is $\int\int\int f(x,y,z)dxdydz$ in which […]

Differentiation

The Jacobian Matrix

Using conclusions from previous posts, the following nine derivatives have been determined. $\frac{dx(r)}{dr}\big|_{r^+}=\sin\theta\cos\phi$ \$\frac{dy(r)}{dr}\big|_{r^+} = […]