Posts Tagged ‘factorial’
Friday, September 25th, 2009
How to Simplify Factorials
Description
A detailed tutorial on how to simplify factorials. Step by step tutorial including several examples of how to simplify factorials for reference.
Overview
A factorial is an interesting mathematical function. It is expressed as a number with an exclamation point after it – for example, 5! would be “five factorial”. What a factorial really is, is an expression of multiplication. In n!, all numbers from 1 to n, including n, are multiplied. For example: 7! = 1 * 2 * 3 * 4 * 5 * 6 * 7. The notation of a factorial was thought up by Christian Kramp in 1808.
Tags: algebra, Christian Kramp, factorial, Math, multiplication, multiply, n!, product, simplify
Posted in Algebra | No Comments »
Friday, September 25th, 2009
How to Expand Binomials
Description
A detailed tutorial on the solving of problems using the binomial theorem. Stepby step tutorial including several examples of how to solve problems using the binomial theorem for reference.
Overview
The binomial theorem is something you should all be familiar with – it is the alternative to the F.O.I.L. technique. It is used when you are given a binomial that is raised to a power. The simplest version of it is expressed like this:
This can also be expressed as a factorial notation, in the form:
Tags: algebra, binomial, binomial theorem, coefficient, complex, exponent, F.O.I.L., factorial, FOIL, integer, Math, power, real, sum
Posted in Algebra | No Comments »
Thursday, September 24th, 2009
How to Solve the Maclaurin Series
Description
A detailed tutorial on the solving of a Maclaurin series. Step by step tutorial including several examples of how to solve a Maclaurin series for reference.
Overview
A Maclaurin series is a Taylor series that is centered at zero instead of one of the other numbers. A Taylor series is a representation of a function as an infinite sum calculated from the values of its derivatives at a single point. A Maclaurin series can be expressed like this:
The only difference is that a Maclaurin series will be centered at the point zero. Many Maclaurin series, specifically e to the x, can easily be memorized so solving by a chart would not be necessary.
Tags: Calculus, chart, derivatives, factorial, function, infinite sum, Maclaurin series, Math, point, Taylor series, value, zero
Posted in Calculus | No Comments »
Thursday, September 24th, 2009
How to Solve the Taylor Series
Description
A detailed tutorial on the solving of a Taylor series. Step by step tutorial including several examples of how to solve a Taylor series for reference.
Overview
A Taylor series is a representation of a function as an infinite sum calculated from the values of its derivatives at a single point. If the series is centered at zero, then it is called a Maclaurin series, even though it is still a Taylor series. A Taylor series can be expressed as
A more compact form of which is 
A popular way to solve a Taylor series is by using a chart to calculate all possible derivatives and set into their proper equations.
Tags: Calculus, chart, derivatives, factorial, function, infinite sum, Maclaurin series, Math, point, Taylor series, value, zero
Posted in Calculus | No Comments »
