PhD or Doctor of Philosophy is a postgraduate degree awarded by universities that usually lasts from three up to five years. Graduates with a Doctorate of philosophy 's degree are automatically awarded the academic title of doctor. PHD programs can focus on philosophy but also theology, law, medicine and liberal arts as well. Boys and girls interested in a career as teacher or lecturer tipically decide to start these paths since professors are increasingly being required to have a PhD.
Master programs and courses in mathematics are for graduates with bachelor's or master's degree in scientific disciplines, usually in maths and offer students the opportunity to specialize in targeted aspects of the matter. Boys and girls with a passion for logic, numbers, calculations, rules and expressions choose a program of improvement in math just to complete their preparation and aspire to positions of responsibility both within a company, such as taking care of the accounting, finance or information technology, rather than continue the research path that usually leads to the role of mathematician, scientist, researcher.