# PhD in Mathematics

The PhD programme provides advanced training at international level for math-ematicians who are interested in the fundamental ideas of Mathematics. It pro-vides training for those who intend to apply Mathematics in industry, teaching and scientific research. This training is done without losing sight of the impor-tance of fundamental mathematical concepts that are widely used in applications. Indeed, Mathematics is increasingly being used in economics, finance, insurance, environmental studies, climate changes and health sciences among other areas.

The prospective student must first discuss with proposed supervisor(s). The PhD is by thesis only. Applicants should normally have a rich Master's degree in mathematics from a recognised university. A research concept (synopsis) of 3-5pages should accompany the application. The synopsis will be the basis for provisional admission (one year) during which time the candidate will develop a comprehensive Ph.D proposal. The graduation load is 66CUs. Each student will have a Doctoral Committee to guide the student throughout the programme. The Doctoral Committee is additionally to the supervisors.

**Objectives of the Programme**

The overall goal of this PhD programme is to provide the region with graduates having a strong and broad background in Mathematics as well as increasing the use of Mathematics in the private and public sectors in the region, and in multidis-ciplinary research conducted at Makerere University and in the region.

**The specific objectives** of the programme are:

• To provide skills for high quality research and teaching in the field of Mathematics and its applications.

• To raise a critical mass of mathematicians at PhD level in Uganda and the region.

• To increase the use of Mathematics in industry and society.

• To enhance efforts of researchers in Mathematics and its applications and draw them towards interdisciplinary research.

To promote the existing collaboration in Mathematics research and teaching between universities in the region (in particular, Eastern Afri-ca), and Swedish universities by 2020 and beyond.

PhD studies are in the following areas (and related areas):

Biomathematics/Mathematical Epidemiology

Ecological Modelling

Insurance Mathematics

Financial Mathematics

Dynamical Systems

Numerical Analysis

Topology

**Ph.D Codes, Course name and CUs**

**Semester I**

ART9105 Scholarly writing and communication skills (3)

PMTH9101 Proposal writing (5)

PMTH9102 Seminar I (Literature Review) (4)

**Semester II**

PMTH9201 Progressive Report I (4)

PMTH9202 Seminar II (Method development) (4)

PMTH9203 Progressive Report II (4)

**Semester III**

PMTH9301 Seminar III (4)

PMTH9302 Seminar IV (4)

PMTH9303 Progressive Report III (4)

**Semester IV**

PMTH9401 Seminar V (4)

PMTH9402 Seminar VI (4)

PMTH9403 Progressive Report IV (4)

**Semester V**

PMTH9501 Seminar VII (4)

PCNS9502 Draft thesis write-up (5)

**Semester VI**

PMTH9601 Seminar VIII (4)

PCNS9602 Final Thesis write-up (5)