By: Ludovic Harold Tesla
A derivative of a function is the slope or rate of change of a function. The proper notation for that is dy/dx(f(x)). This would be read as ‘deey deex of f of x’; this is just to shorten the notation instead of the &lsquo...

By: Ludovic Harold Tesla
A highest common factor (HCF) is the largest factor that goes into multiple numbers. This can be represented as gcd(a,b)=c; where a and b are constants and c is the HCF. The purpose of finding an HCF is to simplify fractions; many fractions have...

By: Ludovic Harold Tesla
An integral is the total area under the curve of a function. It is represented by a curve ∫ with an upper and lower limit. These limits determine the xvalues at which you are actually taking the area under the curve. Integrals are also considered...
By: Ludovic Harold Tesla
In mathematics there are many forms of graphs; but every graph has many things in common. A graph is basically an xaxis a yaxis and numerous coordinate points (x,y) somewhere on the graph. Most of mathematics works with functions and not just points; but...
By: Ludovic Harold Tesla
The least common multiple (LCM) is the smallest number that is divisible into other numbers. This means that when multiplying multiple numbers we want to find the smallest number that they both go into. The mathematical way we would represent this is LCM(a,b); where...
Fermat's Last Theorem and its proof
By: Steven Mars
Fermat’s Last Theorem states that the equation a^n+b^n=c^n does not have any solutions for any positive integers a, b, and c except n=1 and n=2. For n=1 it is just a simple addition of two integers. For n=2 it is the Pythagorean Theorem which...
How to apply Ohm's Law to basic circuits
By: Mike Meyers  680586
Ohm’s law is one of the most fundamental laws to keep in mind when analyzing an electrical circuit. How, then, does one go about applying it? Before using Ohm’s law, it is necessary to understand the three concepts that the law relates to...
The difference between plane geometry and solid geometry
By: Steven Mars
Plane geometry is concerned with zero, one, and two dimensional objects like points, lines, and circles; while solid geometry is concerned with three dimensional objects (width, length, depth) like cubes, spheres, and pyramids. Points are defined to have zero dimensions—they only have position. They...
Using balloon polyhedra to visualize mathematical concepts
By: Moi
Youtube educator Vihart et al. published this interesting paper entitled "Computational Balloon Twisting: The Theory of Balloon Polyhedra" which you can access on her website. The purpose of said paper, as explained in the abstract, is to construct "a general mathematical and algorithmic theory for...
Assessing the value of learning math by using manipulatives
By: Deepak Gupta  605903
School is sometimes likened to the setting of a nightmare students have to attend five days a week, and this is all because of one subject – math. While some are naturally excellent – even superior  at dealing with numbers, there are those who...
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