The SOF Mathematics Olympiad assess students’ knowledge and skills in mathematical reasoning and logical ability.

During the latter part of the 20th century, string theory was put forward as a unifying theory of physics foundations. String ...

His work involves the use of algebra to ... differential equations (PDEs). Kashiwara’s vital work on D-modules, a highly specific area of algebraic analysis involving linear PDEs, was done ...

The course gives an introduction to analytical techniques for partial differential equations, in particular to separation of variables. In addition the course treats qualititative properties of ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

This section focuses on the key features and methods for working with linear graphs. It demonstrates how to sketch graphs from rules, derive rules from graphs, and calculate key features such as the ...

They provide a versatile framework for solving equations, visualising data, and making informed decisions. This resource revises linear functions, graphs and equations and within linear functions, ...