Studies in pure mathematics are heavily focused on analyzing particular problems in the field through research that is often based on proofs. This kind of analysis can help students understand how to effectively solve problems in their everyday lives.

Europe is, by convention, one of the world's seven continents. Comprising the western most point of Eurasia, Europe is usually divided from Asia by the watershed divides of the Ural and Caucasus Mountains, the Ural River, the Caspian and Black Seas, and the waterways connecting the Black and Aegean Seas.