Numerical Analysis

### Deriving the Quadratic Equation From the Roots Up

Solving Quadratics using gradients at the roots

Numerical Analysis

Solving Quadratics using gradients at the roots

Numerical Analysis

At a young age a builder taught me how to mark out a right angle using the 3,4,5 triangle rule with a tape measure. That math practicality has stuck with me and recently I have been working to decipher it into its ‘LEGO block’ constituents to increase intuitive

Numerical Analysis

A very simple Cubic polynomial root approximation using architectural symmetry and similar triangles

Calculus

Approximating derivatives is a very important part of any numerical simulation. When it is no longer possible to analytically obtain a value for the derivative, for example when trying to simulate a complicated ODE. It is of much importance though, as getting it wrong can have detrimental effects on the

Differential Equations

An introduction to Euler methods

Linear Algebra

One of the oldest and most thoroughly studied problems in both linear algebra and numerical analysis is finding solutions for Ax = f. In a first linear algebra class, one might learn about how to identify what matrices are invertible, and calculate inverses by hand (very likely by means of Gaussian

Numerical Analysis

Exploiting the amazing symmetry of cubic polynomials to quickly find the first root using Newton’s method.