The subject of mathematics is often paired up with other subjects such as education, statistics, finance, and computer science. This pairing can give added value in the teaching, computer programming, and financial forecasting and planning fields.

Spain, officially the Kingdom of Spain, is a sovereign state and a member state of the European Union. It is located on the Iberian Peninsula in southwestern Europe. Spanish universities regulate access to their own degrees and they fix the academic fees. They can also offer unofficial postgraduate degrees. The capital city Madrid has possibly the largest number of bars per capita of any European city and a very active nightlife.

The PhD is a doctoral degree, specifically called a "doctor of philosophy" degree. This is misleading because PhD holders are not necessarily philosophers (unless they earned their degree in philosophy!). That said, PhD recipients are able to engage in thought experiments, reason about problems, and solve problems in sophisticated ways.

Full time studies are studies that require a student to attend classes on a daily basis, usually for at least four hours a day. The main benefit of full time studies is that it allows students to complete their studies in a shorter period of time. This can be beneficial for those who are looking to graduate more quickly or enter the workforce sooner.