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Indefinite Integrals

Posted by Jeff on Oct 11, 2009 in Calculus, Math

In integral can be thought of as an area underneath a curve.  Integrals are often used to manipulate position, velocity, and acceleration equations to estimate different situations.  If you are given an equation that represents the velocity of a golf cart driving, like so: (the ‘ in y’ represents the differential element that [...]

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Vector Dot Product

Posted by Jeff on Sep 8, 2009 in Calculus, Electromagnetic Theory, MATLAB, Math, Physics, Statics

Another simple review of the vector dot product, for those of you that have forgotten.  The operation that involves multiplying two vectors together can be done in a few ways.  The first operation is called either the scalar product or the dot product.  One of the well known definitions looks like this:
RULE 1:
This is [...]

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Adding and Subtracting Vectors

Posted by Jeff on Sep 8, 2009 in Calculus, Dynamics, Electromagnetic Theory, MATLAB, Math, Physics, Statics

This is a very simple post and a very simple subject, but every once in a while even the experts need to be reminded how to do simple addition and subtraction with vectors.  Let’s go ahead and specify a couple vectors that we can work with.
Vector
In MATLAB: >>A = [1 2 4];
Vector
In MATLAB: [...]

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Volume of Ellipsoid – MATLAB

Posted by Jeff on Aug 31, 2009 in Calculus, MATLAB

This is how you calculate the volume of an ellipsoid with the following equation.

rmax = 1;
V = 0;
step = 0.02;
A = 5;
B = 10;
C = 15;
for x= -5 : step : 5
for y = -10 : step : 10
for z = -15 : step : 15
if((x/A).^2 + (y/B).^2 + (z/C).^2) < rmax
V = V + [...]

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Derivatives

Posted by Jeff on Jul 29, 2009 in Calculus, Math

One of the most important calculus concepts to learn is derivation.  Here I will show you how to calculate some simple derivatives.  The derivative looks like this and can be read as “derivative with respect to x” so if you have a function and you are supposed to perform then you are [...]

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