I'm an undergraduate student in mathematics at the University of Buenos Aires. The name of the degree is "licenciatura en Matemática", which is a 5 year long degree. To graduate you must make a small work called "thesis". Now while the degree is about mathematics, you can choose between two orientations, in the third year: pure and applied.
If you understand spanish: http://cms.dm.uba.ar/academico/carreras/licenciatura/