# Basic Engineering Mathematics Tutorial

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mathematics for engineering statistics tutorial 1 – basics of

It is quite possible that the mode is not unique because the same maximum figure could occur more than once the distribution. If we don't have grouped data, there is no mode unless several occur at the same precise height. This leads us on to the next section.OGIVE and QUARTILES If we add a new row to our data showing the accumulative frequency and plot the data against it, we get a different sort of graph called an OGIVE that makes it easier to spot the median. Let’s add a new row to our frequency .mathematics for engineering differentiation tutorial basic

Note that integrating returns the equation back to its original form. DERIVATION For those who want to know where this comes from here is the derivation. Consider to points A and B on a curve of y = Cxn Join AB with a straight line and the gradient of the line is approximately the gradient at pointThe closer A and B are the more accurate this becomes. Gradient at P BC/AC h is the difference between the value of x at B and− 𝑓 𝑥 𝐴 𝑓(𝑥) 𝐵 − 𝑓(𝑥) 𝐴 = lim ℎ→0 ℎ ℎ dy 𝑓(𝑥 𝐴 + ℎ) − 𝑓(𝑥) 𝐴 𝐶(𝑥 + ℎ) 𝑛 − 𝐶𝑥 𝑛 = .mathematics for engineers basic matrix theory tutorial 2 this is

OUTLINE TO A SOLUTION of SIMULTANEOUS EQUATIONS WITH A MATRIX An important use of matrix theory is the solution of problems with more than two unknown variables and because the method is based on strict rules, it is suitable for use in computer programmes. Consider how three simultaneous equations are presented as a vector. The Matrix A is called the COEFFICIENT MATRIX and it is formed from an array of numbers made from the coefficients a11 a12 … The column vector b is made from the coefficients b1, b2 … .
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