Doctor's Degree in Applied and Computational Mathematics at Princeton University |
Princeton University
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Princeton University is a Private not-for-profit, 4-year or above Research Universities (very high research activity) with 7,261 students in Princeton, NJ.
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This school offers the following degree levels:
Bachelor degree, Masters degree, Doctor's degree |
| Also, students of this school are eligible for federal aid such as Pell Grants and Direct Loans from the US Department of Education. |
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Princeton University. |
Princeton University
Doctor's degree
Applied and Computational Mathematics
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First Year of Graduate Study:
After the arriving student has his or her feet on the ground, it will be the student's responsibility to choose three areas in which to be examined out of a list of six possibilities to be specified below. This choice of topics should be achieved by the end of October. The Director of Graduate Studies, in consultation with the student, will then appoint a set of advisors from among the faculty and associated faculty. The advisor in each topic will meet regularly with the student, monitor progress, and assign additional reading material. (They can be any member of the University faculty, but normally would be either program or associated faculty.) The first-year student should choose three topics by October 30th from among the following six applied mathematics categories:
Asymptotics, analysis, numerical analysis, and signal processing
Discrete mathematics, combinatorics, algorithms, computational geometry and graphics
Mechanics and field theories (including computational physics / chemistry / biology)
Optimization (including linear and nonlinear programming and control theory)
Partial differential equations and ordinary differential equations (including dynamical systems)
Stochastic modeling, probability, statistics, information theory
Other topics as special exceptions might be possible, provided they are approved in advance by the Director of Graduate Studies. Typically, students take regular or reading courses with their advisors in each of the three areas, completing the regular exams and course work for these courses. At the end of the first year, first-year students will also take a preliminary exam, consisting of a joint interview by their three first-year advisors. Each student should discuss with their first-year advisors which of these courses are relevant for their areas. In order to assess for themselves whether they have sufficient preparation, or whether it would be good to take a particular course, it is a good idea to obtain some typical homework or a final exam from a previous year.
Second Year of Graduate Study
Students who have been evaluated with satisfactory performance after the first year will be readmitted for the second year of graduate study. (Students who did not achieve a Ph.D. level pass on their first-year preliminary exam are re-admitted for the Fall of the second year, and normally take parts of the preliminary exam again during this semester.) Students who are admitted to the second year will continue working with at least one faculty member with the goal of achieving competence to begin Ph.D. research. This faculty member should be a potential Ph.D. advisor. A presentation by the student on research topics before a committee of three faculty members is to take place in the second semester, in late April or May. If the student passes this examination (the General Exam), he or she becomes a Ph.D. candidate. The following may assist the student in choosing courses. Note, however, that courses are not necessarily offered every year.
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Princeton University.
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