Cardiff is the capital of Wales, with a chequered linguistic history that resulted in many language schools. It has various university hospitals, four major institutions of higher education, several academies and around 44 thousand high education students.

Those in applied mathematics programs can learn how to solve real-world problems in various areas through the use of individual numerical methods. These techniques can also help to explain and predict observed and unobserved phenomena.

The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom and Britain, is a sovereign state located off the northwestern coast of continental Europe. The two most famous (and oldest) universities are Oxford and Cambridge (often referred to as Oxbridge by many Britons). England also has several other world-class institutions, including several in London (notably Imperial College, the London School of Economics, University College London and King's College London, all are part of London University).

Achieving high scores on A-levels is important for UK students who wish to enter university. Institutions of higher learning use the results of these exams to decide if a student is prepared to study at their program.