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A candidate must complete a thesis in one of several fields in which research is actively being done in the Department. The research fields and the names of possible supervisors are available from the departmental postgraduate brochure at: www.up.ac.za/maths/postgrad

Duration of studies
The doctorate is conferred on a student only if one of the following periods has expired:

1. At least four years after complying with all the requirements for a three-year bachelor’s degree.
2. At least three years after complying with all the requirements for a four-year bachelor’s degree.
3. At least two years after complying with all the requirements for a bachelor’s degree of five years or more.
4. At least two years after complying with all the requirements for a master’s degree.
5. With the exception of a shorter period that may be approved by the Dean, at least 12 months since registration for the doctorate at this University has expired.

The relevant head of department may set specific residential requirements for students who are required to live on campus.

Renewal of registration
Subject to other faculty regulations, a student for a doctorate must complete his or her studies within three years after first registering for the degree. Under special circumstances, the Dean, on the recommendation of the relevant head of department or the Postgraduate Committee, may give approval for a limited fixed extension of this period.

Curriculum
The curriculum for the PhD degree consists of the following:

1. Theoretical knowledge of the major subject/s and such additional modules as may be prescribed.
2. A thesis.

General
Candidates are required to familiarise themselves with the General Regulations regarding the maximum duration of study and the requirements to submit an article/s for publication.

1. MSc (Mathematics) degree or MSc (Applied Mathematics) degree or relevant master’s degree
2. Research methodology at master’s level

1. Consult the General Regulations that apply to the calculation of marks.
2. In order to obtain the PhD degree the candidate must:

• pass the examinations and the prescribed modules, as determined in the study programme;
• pass the thesis; and
• pass the final examination on the thesis and general subject knowledge.