Ph.D. in 数学
Program Name and Number: 数学 - PH3101
- 招生 (Note: Students without a master's degree or similar post-baccalaureate experience will not be admitted directly to the doctoral program; instead, they should apply to the master's program doctoral preparation track.)
- 建议 from the 研究生 Chair
- 学位 & Graduation Requirements
- Financial Support (Teaching Assistantships)
- 研究生 课程 & 资源
- Program Mission and Learning Objectives
Program Overview
Ph值.D. in 数学 is intended for 学生 who wish to advance mathematical knowledge itself, apply such knowledge to problems confronting society and science, and educate others in mathematical methods and ways of thinking.
The 数学 Department offers 学生 the possibility of designing study plans to meet their individual goals and interests. In particular, it offers a broad spectrum of possible research areas for Ph.D. 学生, including algebra, 分析, 编码理论, computational harmonic 分析, partial and ordinary differential equations, dynamical systems, financial mathematics, mathematical biology, numerical 分析, optimal control theory, 集理论, 统计数据, stochastic processes, 和拓扑结构.
The first phase in doctoral education in 数学 is to understand a few subjects deeply and a range of subjects in less detail. 俄亥俄州's program accomplishes this through a system of courses and written examinations. An exceptionally well-prepared student can attempt the examinations early and spend relatively little time doing coursework.
The second phase is to become the expert on a specific problem and produce new mathematical results on it suitable for a dissertation. In the program, this phase is done one-on-one with a faculty adviser or in a small research group. The dissertation is a scholarly work demonstrating the ability to understand, 组织, 改善, and present mathematical ideas of outstanding importance, 深度, 或利益. It must include original mathematical research and be worthy of publication.
Most doctoral 学生 are trained and financially supported as teaching assistants and have the opportunity to teach classes as the primary instructor.
Career Opportunities
Most graduates work in academia, teaching and/or doing research in 数学.
Program Mission
To train 学生 to create, apply, and disseminate mathematical knowledge and understanding.
Program Learning Objectives
- 研究生s will be able to extend the frontier of mathematical knowledge by producing quality research with original results.
- 研究生s will be able to apply a range of mathematical tools to problems within mathematics and in other disciplines.
- 研究生s will be able to effectively disseminate mathematical knowledge and understanding through publications, 研讨会, classroom teaching, 或者其他方式.