Mathematics is fundamental to the formulation and analysis of scientific theories, is a rich and independent field of inquiry, and its study is excellent preparation for life in our highly specialized society. Active research throughout the mathematical sub-disciplines, spurred on in part by advances in computing technology, leads to new perspectives and applications. The major in mathematics combines broad study of fundamental theories with in-depth investigation of particular subjects chosen from pure, applied and computational mathematics. A degree in mathematics, either alone or in combination with study in another field, is excellent preparation for careers in industry, academia, and research institutes.<br><br>The M.S. in Mathematics is awarded under either Plan I: 26 hours and 6 hours thesis or Plan II: 32 hours. Under Plan II instead of writing a thesis, students must pass the M.S./Ph.D. Qualifying Exam at master's level. To enter the Ph.D. program, students must pass this same exam but at a higher level, hence the Ph.D. qualifying examination requirements are the same as those listed for M.S. Plan II. After passing the Qualifying Exam, the Ph.D. candidate must fulfill 18 more hours of course credits, pass the Doctoral Comprehensive Exam, fulfill a language requirement, accumulate at least 18 hours of dissertation credits, and finally submit and defend his/her dissertation.