Partial Differential Equations (PDE's)
On this page we get you started with partial differential equations.  First, we run through a review of partial derivatives and three important operations from vector calculus.  Do not skip the reviews even if you just finished the classes that covered that material.  Hearing another instructor explain it will expand and deepen your knowledge and may even raise your grade.  So don't miss this opportunity.
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Playlists and Videos |
This first playlist is from Dr Chris Tisdell, who is one of our favorite instructors. The order of these videos seems to be mixed up but he always explains things very well.
video by Dr Chris Tisdell |
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This guy is another one of our favorites. He has an extensive library of mathematics, physics, engineering and chemistry videos. Here is his partial differential playlist. You won't find a better channel for learning math, science and engineering.
video by Michel vanBiezen |
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Here are a few more playlists that may help you.
video by Christopher Lum |
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video by MathTheBeautiful |
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Recommended Books |
Related Topics and Links |
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Partial Derivatives Review
Okay, at this point in your learning you already know what a partial derivative is.  However, even if you are absolutely convinced you completely understand everything there is to know about partial derivatives, this next video is a must watch.  It has a great explanation, using a graph, of what it means to hold one variable constant while taking the derivative of the other.  Even as an instructor I learned something from this video.  So I highly recommend it.
video by Michel vanBiezen |
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Vector Calculus - Review of Three Important Operations
Before we get started with the details of partial differential equations, here is a great video to watch to remind us of the three basic operations from vector (multi-variable) calculus that we will be doing a lot when solving partial differential equations.  The three operations are divergence, gradient and curl.
video by Steve Brunton |
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What Is A Partial Differential Equation?
A partial differential equation (PDE) is an equation containing partial derivatives. 
It works just like an ordinary differential equation (ODE) except that the solution is a function of more than one variable. 
For example, you can verify a solution by taking partial derivatives and plugging them into the PDE just like you would with an ODE.
Here is a video with the big picture of where we are going.
video by Steve Brunton |
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Really UNDERSTAND Differential Equations
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