The degree of Doctor of Philosophy (PhD) in Mathematics is awarded in recognition of distinctive scholarship and original contributions to knowledge in Mathematics. The PhD program is especially designed to prepare the student for teaching at the graduate level, and doing mathematical research in academic settings, and in industrial and business settings. The Requirements for the PhD in Mathematics (Applied Mathematics Option) The specialization of modern academic disciplines provides both a challenge to those who wish to do research at the interface of mathematics and its areas of application and many opportunities to make valuable contributions. The Applied Mathematics Option allows students from a range of backgrounds to pursue a traditional applied mathematics program, while retaining the option to thoroughly learn an area of application. Entering students may not necessarily have a bachelor's degree in Mathematics. However, they will be required to demonstrate a grasp of the core areas of advanced calculus and linear algebra at the level of a bachelor's degree in Mathematics. They will then be given great latitude to take specialized courses in Mathematics and their area of application. The Requirements for the PhD in Mathematics with Teaching Emphasis The degree of PhD in Mathematics with Teaching Emphasis certifies completion of a graduate program designed to provide exceptionally strong preparation for scholarship in the teaching and learning of mathematics. It differs from the PhD in Mathematics and PhD in Mathematics (Applied Mathematics Option) in its focus, but not in the expected level of competence. The requirements for the PhD in Mathematics with Teaching Emphasis include as much competence in core mathematics as the PhD in Mathematics and PhD in Mathematics (Applied Mathematics Option), as well as study in the research methodologies applicable to pedagogical research in mathematics.

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