Indefinite Integrals

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 [...]

Tags: accelleration, area under a curve, definite integrals, indefinite integrals, integral, integrals, integration, position, velocity

Vector Dot Product

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 [...]

Tags: dot product, dot product angle, find dot product, vector angle, vector dot product, vectors

Adding and Subtracting Vectors

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: [...]

Tags: adding vectors, subtracting vectors, vectors

Volume of Ellipsoid – 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 + [...]

Tags: Elipsoid, Ellipsoid, Ellipsoid Volume, Volume of Ellipsoid

Derivatives

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 [...]

Tags: derivative, derivatives