Science

Doctor of Philosophy in Applied Mathematics

The Doctor of Philosophy in Applied Mathematics is a doctoral programme offered at Kenyatta University, JKUAT and the University of Nairobi. It is designed to produce scholars capable of advancing research in mathematical modelling, computational methods and analytical techniques applied to real-world problems. The programme bridges pure mathematics with practical applications in science, engineering, finance and technology.

Students engage with advanced topics in differential equations, numerical analysis, optimisation theory, mathematical modelling, fluid dynamics, mathematical biology, financial mathematics and research methods. The curriculum emphasises original research that develops mathematical solutions for problems in engineering, natural sciences, economics and public health in Kenya.

Kenya's growing technology sector, the need for data-driven decision making in government and industry, and the expansion of financial services create demand for doctoral-level applied mathematics expertise. The programme supports Kenya's Vision 2030 science, technology and innovation pillar.

Teaching is delivered through coursework, seminars and supervised research. At the University of Nairobi, the programme is coded I827 with tuition fees of KSh 396,000 per year. At JKUAT, the total PhD programme cost is KSh 510,500 over three years. Students develop mathematical models, run computational simulations and analyse results.

Graduates pursue careers as university professors, applied mathematicians, quantitative analysts, data scientists and computational modellers. They work in universities, financial institutions, technology companies, research institutes and government agencies.

The programme is ideal for individuals with strong mathematical backgrounds who wish to contribute original research to applied mathematics and computational science.

Duration: 3-5 years
Public, up to: Ksh 336,600
Private, up to: Ksh 168,000
Job market: High

The programme

What you study, how long it takes, and how it is delivered.

Practicalities

Study mode: Full-time, Part-time
Attachment: 0 months
Average class: 3 students
Award: PhD

What you study

10 subjects

Differential Equations
Numerical Analysis
Optimisation Theory
Mathematical Modelling
Fluid Dynamics
Mathematical Biology
Financial Mathematics
Research Methods in Mathematics
Computational Mathematics
Stochastic Processes

Modules

8 in the programme

Advanced Differential Equations
Year 1Semester 13 creditsCore
Theory and applications of ordinary and partial differential equations, exploring cutting-edge developments, theoretical frameworks, and research methodologies at the forefront of the discipline.
Numerical Analysis and Computational Methods
Year 1Semester 23 creditsCore
Numerical methods for solving mathematical problems computationally, covering theoretical foundations, practical methodologies, and current analytical techniques used in advanced research and.
Optimisation Theory
Year 1Semester 33 creditsCore
Mathematical optimisation techniques and applications, examining foundational principles, conceptual frameworks, and theoretical debates that shape contemporary understanding in this field.
Mathematical Modelling
Year 2Semester 13 creditsCore
Developing mathematical models for real-world phenomena, covering mathematical and computational modelling techniques, simulation methods, and their application in research and analysis.
Stochastic Processes and Applications
Year 2Semester 23 creditsCore
Probability theory and stochastic modelling, covering theoretical foundations, practical methodologies, and contemporary research developments relevant to doctoral study in this area.
Research Methods in Mathematics
Year 2Semester 33 creditsCore
Research design and methodology for mathematical research, covering quantitative and qualitative approaches, data collection techniques, and analytical frameworks relevant to doctoral-level.
Departmental Seminars
Year 3Semester 13 creditsCore
Research presentations and peer review of doctoral work, providing a platform for doctoral candidates to present research findings, engage with peer feedback, and explore contemporary debates in.
Thesis Research
Year 3Semester 26 creditsCore
Doctoral thesis research and dissertation writing, involving original research, literature review, data analysis, and the production of a doctoral dissertation contributing new knowledge to the.

Specialisations

Financial Mathematics
Mathematical methods for finance and risk
Fluid Dynamics
Mathematical modelling of fluid flow
Computational Mathematics
Numerical methods and scientific computing
Mathematical Biology
Mathematical modelling of biological systems

A day as a student

A typical day involves developing mathematical models, running computational simulations, analysing numerical results, reviewing literature on applied mathematics, attending seminars on mathematical methods, meeting with supervisors to discuss research progress, and collaborating with researchers in applied fields.

The trade offs

In its favour

Skills are highly transferable across finance, technology and research
AIMS provides scholarships for African mathematicians
Growing demand for quantitative skills in Kenya's tech sector

Against it

Requires strong mathematical foundation and computational skills
Limited funding for mathematical research in Kenya
Few supervisors with applied mathematics specialisation

What it costs

Tuition at both ends of the market, and how to pay for it.

What it costs, and where

Against 243 science courses

Public170k to 337k

170k at Jomo Kenyatta University of Agriculture and Technology337k at Kenyatta University

Private150k to 168k

150k at Mount Kenya University168k at Kenya Methodist University

Annual tuition in Kenyan shillings, rounded. The upright tick is the median for this field, so a bar sitting entirely to its right is an expensive programme by the standards of its own subject.

The fine print

JKUAT ~170K/yr (kenyaeducationguide), KU 336.6K/yr (ku.ac.ke). KeMU 168K, MKU 150K/yr.

HELB provides postgraduate loans. DAAD offers scholarships for postgraduate study. AIMS provides scholarships and research opportunities for African mathematicians.

Funding options

HELB Postgraduate Loan
DAAD Kenya Scholarship
AIMS Scholarship

Scholarships

3 recorded

DAAD Kenya Scholarship
ScholarshipKenyan
Postgraduate students in Kenya
AIMS Scholarship
Scholarship
African mathematics students
HELB Postgraduate Scholarship
LoanKsh 200,000Kenyan
Kenyan postgraduate students

Getting in

The grades, the alternatives, and who accredits the award.

What you need

KCSE mean grade: Masters Degree
Alternative entry: Holder of relevant Masters degree from a recognised university. Must submit a research proposal.

MSc in Mathematics, Applied Mathematics, Statistics or related field
Relevant Masters from recognised university

How you are assessed

3 components

Coursework
Continuous assessment30% of the mark
Problem sets, modelling projects and seminar presentations
Thesis
Thesis50% of the mark
Doctoral thesis research, submission and oral defence
Thesis Proposal Defence
Oral defence20% of the mark
Defence of research proposal before departmental panel

Accreditation

Accredited by the Commission for University Education (CUE). Offered at Kenyatta University (School of Pure and Applied Sciences), JKUAT (College of Pure and Applied Sciences) and the University of Nairobi (School of Mathematics).

Accredited by

Commission for University Education
AcademicRequired
Statutory body responsible for accreditation of university programmes in Kenya

Where it leads

The roles it opens, and what you leave with.

Where graduates go

4 roles

Data Scientist
High demandKsh 180,000 to Ksh 450,000
Statistical and mathematical modelling at technology companies
Quantitative Analyst
High demandKsh 200,000 to Ksh 500,000
Mathematical modelling at financial institutions
Computational Modeller
Moderate demandKsh 170,000 to Ksh 420,000
Developing computational models for research and industry
University Professor
High demandKsh 180,000 to Ksh 450,000
Teaching and research in mathematics departments

Graduate outcomes

Graduates pursue careers as university professors, applied mathematicians, quantitative analysts and data scientists. They work in universities, financial institutions, technology companies and research institutes.

Where these fields lead

8 careers

Certifications

Industry links

Common misconceptions

Applied mathematics is just about solving equations.
The field covers mathematical modelling, optimisation, computational methods and applications across multiple disciplines.
There is no demand for mathematics PhDs in Kenya.
Kenya's technology sector, financial services and data-driven governance create strong demand.
Applied mathematics research has no practical impact.
Research develops models for disease spread, financial risk, engineering design and climate prediction.
Only pure mathematicians can do PhDs in applied mathematics.
The programme attracts engineers, physicists, statisticians and computer scientists.