Cylindrical Coordinates and Spherical Polar Coordinates can be very useful for solving math problems in three dimensions when Cartesian Coordinates fail. Here I show you how to find all the basic formulas for converting between these three coordinate systems. All other formulas related to Cylindrical and Spherical Polar Coordinates ultimately derive from these.
Category Archives: Calculus
RC-Circuit with Direct Current – Differential Equation and Solutions
A once-over of the basic RC-circuit emphasizing math rather than physics. This a companion to my other video on the subject that emphasizes physics but has little math….
RC-Circuits 1: Charging and Discharging a Capacitor
Differential Equations – Integrating Factor Method
This method is confusing at first, but once you get it down, it is quicker, slicker, and more versatile than the separation of variables method.
Differential Equations: Separation of Variables Method with Examples
A nearly fool-proof method for solving basic first-order differential equations.
Differential Equations – Basic Terminology
A few basic differential equations (DE) terms. The examples are all ordinary DEs, but much of this applies to partial DEs and systems of DEs as well.
Differential Equations & Solutions – Introduction
A basic introduction to Differential Equations and their Solutions. A background in calculus (derivatives) is necessary.
Double Integrals – A Better Way
If you have been struggling with double integrals, I offer an alternative approach that easier and less prone to error than the standard way.
Beginners who have only ever done single integrals will be able to follow along, but they should be aware that this isn’t intended to be a basic introduction to the topic.
Continue readingCompleting the Square
“Completing the square” is a math trick that works with the equations of parabolas and circles. It is occasionally handy when doing algebra or calculus.
Quotient Rule Shortcuts
(video) Many derivative problems that appear to require the quotient rule can actually be solved another way that is quicker and easier. Continue reading
Derivative Notation
(video) Making sense of the multiple different notations commonly used to express derivatives in calculus. Continue reading