🧮 Maths

I have experimented with a few maths based projects. Some examples of this are:

1. I have made an application for the chrome web store to help people with transforming graphs
2.Made several python programs, to see phenomena such as Pascal's triangle, Circle theorems and applets to see the gradient of a curve through differentiation.

Solving an equation by iteration
Solving an equation by iteration



This is my maths page: you can catch a glimpse of what I am doing in maths on this page.

I am adding animations, coding examples and GeoGebra examples.

Finding the gradient of a curve by differentiation


 



Solving quadratic equations by iteration


Suppose you have to solve x2 - x - 5 = 0 by iteration.
Let's rearrange it in iterative form first.
x = √(x + 5)
xn+1 = √(xn + 5)
Let's take the initial value, x0 and iterate in the following programme:

Since x approaches 2.79 as n increases, the solution is 2.79(2d.p.)

You can experiment with it by changing x0 and n, before running it.

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