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.

Master-level studies involve specialized study in a field of research or an area of professional practice. Earning a master’s degree demonstrates a higher level of mastery of the subject.
Earning a master’s degree can take anywhere from a year to three or four years. Before you can graduate, you usually must write and defend a thesis, a long paper that is the culmination of your specialized research.