doesn't have to make sense to you, but it's probably great for your health.
TweetWhy do we need to solve system equations? Often during a course you will need to be able to solve a system equation for its roots. These roots can be complex, distinct, or repeated. These problems usually arise when working with linear systems or differential equations. A system equation is formatted as follows: System Equation: [...]
TweetWhat are indefinite integrals used for? 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 [...]
TweetThe 3 common methods of describing a point in a three dimensional coordinate system are Cartesian, Cylindrical and Spherical. The most simple is Cartesian but certain teachers find it necessary to use the others. There are a few simple conversions between them but first it is necessary to know their notation. Cartesian: Cylindrical: Spherical: In [...]
TweetSuppose you are interested in finding the unit vector between two points, and , which are described in cartesian coordinates as and , respectively. You would begin by finding the vector between these two points. The direction of this vector may be important so look for key words such as . Once we have established [...]
TweetVector dot product rules 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 [...]
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