The University of California, Berkeley is known to be one of the best public universities in the world. Its reputation is built on tough campus admission requirements, on-campus student housing, and some of the best professors on any campus.
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Berkeley Math PhD Overview
A PhD usually involves students engaged independently in original and significant research in a specific field or subject prior to the production of a publication-worthy thesis. By undertaking a PhD, you will become an expert, possibly an international expert, in your chosen field. A doctorate is the highest academic degree that can be awarded by a university. In Germany, studying for a doctorate means working intensively on a specific subject or research project over a long period of time. The duration of the doctorate also varies. Three to five years is typical. If you decide to take a doctorate, you can choose between different forms of study.
Degrees Offered
Degree | Concentration | Sub-concentration |
---|---|---|
Doctor of Philosophy (PhD) | Mathematics | |
Doctor of Philosophy (PhD) | Applied mathematics |
Admissions
Berkeley Math PhD Acceptance Rate
8%
PhD Program
Admission to the PhD Program
The Department of Mathematics offers 2 PhD degrees, one in Mathematics and one in Applied Mathematics. Applicants for admission to either PhD program are expected to have preparation comparable to the undergraduate major at Berkeley in Mathematics or in Applied Mathematics. These majors consist of 2 full years of lower-division work (covering calculus, linear algebra, differential equations, and multivariable calculus), followed by 8 one-semester courses including real analysis, complex analysis, abstract algebra, and linear algebra. These eight courses may include some mathematically based courses offered by other departments, e.g., Physics, Engineering, Computer Science, or Economics.
Applicants for admission are considered by the department’s Graduate Admissions Committee. The number of students that can be admitted each year is determined by the Graduate Division. In making admissions decisions, the committee conducts a comprehensive review taking into consideration letters of recommendation, level of mathematics preparation, performance in courses, broader impacts (community contributions), research experience, etc.
Degree Requirements
In outline, to earn the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements.
- During the first year in the PhD program:
- Take at least 4 courses, 2 or more of which are graduate courses offered by the Department of Mathematics
- Pass the six-hour written Preliminary Examination covering calculus, real analysis, complex analysis, linear algebra, and abstract algebra; students must pass the prelim before the start of their second year in the program (within three semesters of starting the program).
- Take at least 4 courses, 2 or more of which are graduate courses offered by the Department of Mathematics
- Pass a three-hour, oral Qualifying Examination emphasizing, but not exclusively restricted to, the area of specialization. The Qualifying Examination must be attempted within two years of entering the program.
- Complete a seminar, giving a talk of at least one hour duration.
- Write a dissertation embodying the results of original research and acceptable to a properly constituted dissertation committee.
- Meet the University residence requirement of two years or four semesters.
The detailed regulations of the PhD program are as follows:
Course Requirements
During the first year in the PhD. program, the student must enroll in at least 4 courses. At least 2 of these must be graduate courses offered by the Department of Mathematics. Exceptions can be granted by the Vice Chair for Graduate Studies.
Preliminary Examination
The Preliminary Examination consists of 6 hours (total) of written work given over a two-day period (3 hours/day). Exam questions are given in calculus, real analysis, complex analysis, linear algebra and abstract algebra. The Preliminary Examination is offered twice a year during the first week of the fall and spring semesters.
Qualifying Examination
To arrange the Qualifying Examination, a student must first settle on an area of concentration, and a prospective Dissertation Advisor (Dissertation Chair), someone who agrees to supervise the dissertation if the examination is passed. With the aid of the prospective advisor, the student forms an examination committee of 4 members. All committee members can be faculty in the Mathematics Department and the chair must be in the Mathematics Department. The QE chair and Dissertation Chair cannot be the same person; therefore, the Math member least likely to serve as the dissertation advisor should be selected as chair of the qualifying exam committee. The syllabus of the examination is to be worked out jointly by the committee and the student, but before final approval, it is to be circulated to all faculty members of the appropriate research sections. The Qualifying Examination must cover material falling in at least 3 subject areas and these must be listed on the application to take the examination. Moreover, the material covered must fall within more than one section of the department. Sample syllabi can be reviewed online or in 910 Evans Hall.
The student must attempt the Qualifying Examination within twenty-five months of entering the PhD program. If a student does not pass on the first attempt, then, on the recommendation of the student’s examining committee, and subject to the approval of the Graduate Division, the student may repeat the examination once. The examining committee must be the same, and the re-examination must be held within thirty months of the student’s entrance into the PhD program.
For a student to pass the Qualifying Examination, at least one identified member of the subject area group must be willing to accept the candidate as a dissertation student.