Doctor of Philosophy (Ph.D.) in Applied Mathematics

Lehigh University

Students in the PhD program take the qualifying examination in the same two areas, algebra and real analysis, within two years. They test in statistics and applied probability for those in the statistics track, and analysis and differential equations for students in the applied mathematics track. Mathematics is one of the fundamental, most unified and universal sciences. The discipline of mathematics trains the mind to use logic and reason to discover new knowledge and to make sense of what we already know.The plan of work for the Ph.D. degree includes a Qualifying Examination. Ph.D. in Mathematics students will all take the Qualifying Examination--which covers Algebra and Real Analysis--within their first two years. Ph.D. in Applied Mathematics students will follow a parallel policy and be tested on two different areas--Statistics and Applied Probability for students in the Statistics track and Analysis and Differential Equations for students in the Applied Mathematics track. In addition, each student will be required to prepare a written plan for additional advanced course work and substantial reading of research articles. An Advanced Topic Examination will also be required in the third year. A General Examination, in which the candidate describes the thesis program, and the doctoral dissertation and its defense complete the work for the PhD degree. A student entering Lehigh without a Masters degree must take 72 credits including at least 48 regular course credits (i.e. not dissertation credits). These students typically earn their Masters degree during the process of their work. A student entering Lehigh with a Masters degree must take 48 credits including at least 18 regular course credits (i.e. not dissertation credits).

• Statistics
• Analysis and Differential equations

College of Arts and Sciences