Algebraic structures such as groups, rings and modules provide a rigorous framework for organising and manipulating mathematical objects. Graph theory, concerned with vertices connected by edges, has ...

Before reading this guide, you may find it helpful to read the guide on graphs from Module 7 (M7) and the guide on indices from Module 8 (M8). In Module 7 (M7) Graphs, you learned that simultaneous ...

In this video, we provide essential "math help" by explaining how to "graph" piecewise functions. This "math tutorial" breaks down what is a function into its component parts, explaining the ...

Ordinary differential equations (ODEs) play a pivotal role across the mathematical sciences, modelling phenomena from celestial mechanics to population dynamics. An algebraic solution of an ODE is one ...