To obtain the Ph.D. degree, a student is required to:

1. Complete 12 term courses (including reading courses) at the graduate level, at least two with Honors grades.

2. Participate in teaching. Each student is required to teach as a teaching fellow two undergraduate courses by the end of their second year;

3. Pass a qualifying examination on their general applied mathematical knowledge

4. Find an adviser. By the time the student has passed the qualifying exam, he/she is expected to have found an adviser.

5. Be in residence for at least three years. The residence requirement must normally be met within the first four years of study. Any exception to the residence requirement must be approved by the department and by the appropriate associate dean.

6. Complete a dissertation that clearly advances understanding of the subject it considers.

获得博士学位学位，学生必须：

1. 完成12门研究生阶段的学期课程(包括阅读课程)，至少2门获得荣誉成绩。在这12门课程中，学生应在第一年完成应用分析、数值计算、算法和概率方法各4门核心课程。为了达到博士学位的最低研究生院质量要求，学生必须在研究生院预科后和九个月的至少一门全年或两门全学期研究生课程中获得荣誉等级学年。除了专门与论文研究和准备有关的课程之外，必须满足荣誉要求。 除上述内容外，所有一年级学生必须成功完成一门关于负责任的研究行为的课程。

2.参与教学。每个学生都必须在第二年结束时作为助教教授两门本科课程;

3. 在第二学年末通过一般应用数学知识：代数、分析、概率和统计等的资格考试;

4. 寻找顾问。当学生通过资格考试时，应该找一名顾问。顾问必须得到研究生部主任的批准，并鼓励学生尽早找到顾问。学生与导师合作，准备论文说明书，概述研究计划并证明了对相关文献的熟悉程度。

5. 居住至少三年。通常必须在学习的前四年内满足居住要求。居住要求的任何例外都必须得到系和适当的副院长的批准。

6. 完成一篇论文，清楚地促进对其所考虑主题的理解。