About the Programme|
The programme envisions the training of graduates that are mathematically analytical, researchers and agents of mathematical innovations. It aims at producing graduates whose areas of specialization are broad enough to carry out research, participate in national and executive arms of public and private enterprises. The graduates of the programme are to be highly regarded, by a wide range of employers, for their analytical, problem-solving and communication skills as much as for their knowledge of mathematics. It is aimed at developing the highest level of scholarship, research capability, creative thinking and writing in a defined area of pure mathematics.
Goal of the programme
The purpose of the PhD programme in Pure Mathematics is to equip learners with skills to analyse mathematical problems, conceptualize and create mathematical theories, pursue high-level professional careers in scientific research and university teaching as well as have ability to provide leadership in any research institution.
Programme Courses
| Year 1: Semester 1 | |
| MMA 901 | Measure Theory |
| MMA 902 | Differential Equations |
| MMA 903 | Topics in Analysis |
| MMA 904 | Analytical Methods in Mathematics |
| Year 1: Semester 2 | |
| Specialization: Algebra | |
| MMA 911 | Topics in Group Theory |
| MMA 912 | Topics in Commutative Algebras |
| MMA 913 | Topics in Non – Commutative Algebras |
| MMA 907 | C* - Algebras |
| MMA 908 | Elements of Number Theory |
| MMA 916 | Banach Algebra |
| Specialization: Analysis | |
| MMA 906 | Topics in Operator Theory |
| MMA 907 | C* - Algebras |
| MMA 914 | Harmonic Analysis |
| MMA 916 | Banach Algebra |
| MMA 911 | Topics in Group Theory |
| MMA 912 | Topics in Commutative Algebras |
| MMA 913 | Topics in Non – Commutative Algebras |
| MMA 915 | Wavelets |
| Specialization: Combinatorics | |
| MMA 905 | Advanced Combinatorics |
| MMA 908 | Elements of Number Theory |
| MMA 909 | Theory of Partitions |
| MMA 910 | Graphical Enumeration |
| MMA 911 | Topics in Group Theory |
| MMA 912 | Topics in Commutative Algebras |
| MMA 913 | Topics in Non – Commutative Algebras |
| Specialization: Number Theory | |
| MMA 905 | Advanced Combinatorics |
| MMA 908 | Elements of Number Theory |
| MMA 909 | Theory of Partitions |
| MMA 910 | Graphical Enumeration |
| MMA 911 | Topics in Group Theory |
| MMA 912 | Topics in Commutative Algebras |
| MMA 913 | Topics in Non – Commutative Algebras |
| Year 2: Semester 1 | |
| MMA 999 | Thesis |
| Year 2: Semester 2 | |
| MMA 999 | Thesis |
| Year 3: Semester 1 | |
| MMA 999 | Thesis |
| Year 3: Semester 2 | |
| MMA 999 | Thesis |
Programme Requirements
Admission Requirements
In addition to the common Maseno University admission regulations for Doctor of Philosophy programmes, a candidate for a PhD in Pure Mathematics shall be a holder of Master’s degree in Pure Mathematics from Maseno University or from a recognised University. Candidates having a Master’s degree in Mathematical Sciences may also be considered.
Duration of the Programme
A candidate may be registered as a full-time student for the PhD programme in Pure Mathematics for a minimum of three years and a maximum of five years. For part-time candidates the minimum registration period is four years and maximum seven years.
Teaching methods in taught units shall include lectures, seminars, tutorials, discussions. There shall be a research thesis at the end of the programme.
Degree Structure
The program offers courses within the degree structure spelled out by the Faculty.
Course Structure
• The Doctor of Philosophy in Pure Mathematics shall normally consist of coursework and thesis.
• Coursework shall be a minimum of 8 courses.
• All coursework shall normally be done in the first year for both full-time and part-time students.
• PhD research thesis will be done for the remainder of the programme.