Graduate Study
Applied & Computational Mathematics
Yale's graduate program in Applied & Computational Mathematics thrives at the intersection of diverse disciplines, fostering an environment where mathematical applications meet real-world discovery. Our inherent multidisciplinary approach allows students to work both within and at the boundaries of multiple fields, applying a wide range of mathematical and computational tools.
Curriculum
Key areas of focus include:
- Analysis of data in high-dimensional spaces
- The geometry of information and dynamics
- Computational biology
- Scientific computing
- Algorithms and discrete mathematics
Students develop expertise in applying advanced mathematical techniques to critical problems in science, engineering, finance, and beyond. This unique, boundary-crossing program prepares graduates to lead innovation across various domains, equipped with mathematical rigor and computational prowess to tackle complex, real-world issues.
Admissions
All applications should be submitted directly to the Yale Graduate School Office of Admissions through the online application page. January 2nd is the deadline for all applicants who will enroll in the fall. Official admission decisions will be communicated to the applicants between February-March. Deadline for applicants to respond will be April 15th.
The Graduate Record Examination (GRE) results are not required, but an applicant may submit them. A GRE Subject Test is encouraged.
Additionally, the Test of English as a Foreign Language (TOEFL) is required of all international applicants whose native language is not English. This requirement is waived for applicants who will have received a baccalaureate degree (or foreign equivalent) prior to matriculation at Yale from a college or university where English is the primary language of instruction. Students who do not demonstrate sufficient proficiency in English may be retested and/or asked to take courses in English. Proficiency in English is required for the students to serve as teaching fellows and fulfill the teaching requirement.
Official score reports must be submitted for all required examinations. The Educational Testing Service should be asked to report to the Yale Graduate School.
For more information about admissions policies and procedures, please visit the Yale Graduate School’s application requirements and guidelines.
To obtain the Ph.D. degree, a student is required to:
- Complete 8 term courses (including reading courses) at the graduate level, at least two with Honors grades. Among these 8 courses, within the first year, a student should finish 4 core courses in each of the methods of applied analysis, numerical computation, algorithms, and probability. To meet the minimum Graduate School quality requirements for the Ph.D., students must achieve the grade of Honors in at least one full-year or two full-term graduate courses, taken after matriculation in the Graduate School and during the nine-month academic year. The Honors requirement must be met in courses other than those concerned exclusively with dissertation research and preparation. In addition to the above, all first year students must successfully complete one course on the responsible conduct of research (e.g. MATH 991 or CPSC 991) and AMTH 525 Seminar in Applied Mathematics. A student who has not met the Honors requirement at the end of the fourth term of full-time study will not be permitted to register for the fifth term. In exceptional circumstances, the Director of Graduate Studies may petition the appropriate dean that a student who has not met the Honors requirement be permitted to continue to register.
- Participate in teaching. Each student is required to teach as a teaching fellow two undergraduate courses by the end of their second year;
- Pass a qualifying examination on their general applied mathematical knowledge (in algebra, analysis, probability and statistics) by the end of their second year;
- Find an adviser. By the time the student has passed the qualifying exam, he/she is expected to have found an adviser. The advisor must be approved by the Director of Graduate Studies, and students are encouraged to find an advisor sooner rather than later. In collaboration with his/her adviser, the student prepares a dissertation prospectus, a short document that outlines plans for the research and demonstrates familiarity with relevant literature. The prospectus is expected to have been approved by the dissertation committee before the end of the third year.
- 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.
- Complete a dissertation that clearly advances understanding of the subject it considers.
Students who withdraw from the Ph.D. program may be eligible for the M.S. degree if they have completed ten graduate-level term courses, maintained a High Pass average, and met the Graduate School’s Honors requirement for the Ph.D. program. Students who are eligible for or who have already received the M.Phil. will not be awarded the M.S.
Financial Support
Yale offers a full funding package for all incoming Ph.D. students for a minimum of five years, with some students in FAS programs eligible for a sixth year of funding. Whenever external funding is available, this amount is increased somewhat. For more information, please visit Yale Graduate School Funding and Aid.
