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Master of Science in Pure Mathematics

The Master of Science in Pure Mathematics is a postgraduate programme that prepares mathematicians for advanced study and research in pure mathematics. The programme provides specialised training in algebra, analysis, topology, number theory, geometry, and mathematical logic.

Core areas include abstract algebra, real analysis, complex analysis, topology, number theory, differential geometry, functional analysis, research methods, and thesis. Students engage with both theoretical and practical work through coursework, seminars, and research.

The programme is offered by the University of Nairobi, Chuka University, Multimedia University of Kenya, Kibabii University, University of Kabianga, and Karatina University, all as public institutions. Multiple study modes are available including full-time and part-time over two years, combining coursework with research.

Students develop competencies in algebra, analysis, topology, number theory, geometry, mathematical proof, and research. The programme includes coursework, examinations, seminars, and a supervised research thesis, preparing graduates for academic, research, and analytical roles.

UoN charges approximately KES 362,500 per year while Chuka University charges approximately KES 130,000 per year. No private university confirmed offering this programme. Entry requires at least an Upper Second Class Honours degree in Mathematics or a related field from a recognised institution.

Graduates pursue careers as university lecturers, research mathematicians, data analysts, statisticians, actuaries, and quantitative analysts across academia, research institutions, financial services, and technology companies.

Skills Required

  • Abstract Algebra and Group Theory
  • Real and Complex Analysis
  • Topology and Geometry
  • Number Theory
  • Functional Analysis
  • Differential Geometry
  • Mathematical Logic and Proof Writing
  • Research Methods in Mathematics
  • Mathematical Computing and Software
  • Academic Writing and Thesis Research

Key Subjects

  • Abstract Algebra
  • Real Analysis
  • Complex Analysis
  • Topology
  • Number Theory
  • Functional Analysis
  • Differential Geometry
  • Mathematical Logic
  • Research Methods in Mathematics
  • Thesis Research

Certifications

  • AMU Professional Membership
  • AMS Professional Membership

Specializations

Algebra

Focuses on algebra, covering groups, rings, fields, modules, and managing abstract algebra and algebraic structures.

Analysis

Examines analysis, covering real, complex, functional, measure, and managing real and complex analysis.

Topology

Covers topology, covering topological, spaces, algebraic, geometry, and managing topology and topological spaces.

Number Theory

Focuses on number theory, covering numbers, primes, algebraic, analytic, and managing number theory and arithmetic.

Geometry

Examines geometry, covering differential, algebraic, geometry, manifolds, and managing differential and algebraic geometry.

Mathematical Logic

Covers mathematical logic, covering logic, sets, proof, computability, and managing mathematical logic and foundations.

Duration
2 years
Public, up to
Ksh 352,000
Job market
Moderate

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
20 students
Award
Masters

What you study

10 subjects
  • Abstract Algebra
  • Real Analysis
  • Complex Analysis
  • Topology
  • Number Theory
  • Functional Analysis
  • Differential Geometry
  • Mathematical Logic
  • Research Methods in Mathematics
  • Thesis Research

Modules

12 in the programme

  • Abstract Algebra

    Year 1Semester 13 creditsCore

    Examines abstract algebra, covering groups, rings, fields, modules, and managing abstract algebra and algebraic structures.

  • Real Analysis

    Year 1Semester 13 creditsCore

    Covers real analysis, covering real, functions, limits, measure, and managing real analysis and measure theory.

  • Complex Analysis

    Year 1Semester 13 creditsCore

    Examines complex analysis, covering complex, functions, analytic, integration, and managing complex analysis.

  • Topology

    Year 1Semester 13 creditsCore

    Covers topology, covering topological, spaces, algebraic, geometry, and managing topology and topological spaces.

  • Number Theory

    Year 1Semester 23 creditsCore

    Examines number theory, covering numbers, primes, algebraic, analytic, and managing number theory and arithmetic.

  • Functional Analysis

    Year 1Semester 23 creditsCore

    Covers functional analysis, covering spaces, operators, Banach, Hilbert, and managing functional analysis.

  • Differential Geometry

    Year 1Semester 23 creditsCore

    Examines differential geometry, covering differential, geometry, manifolds, curves, and managing differential geometry.

  • Mathematical Logic

    Year 1Semester 23 creditsCore

    Covers mathematical logic, covering logic, sets, proof, computability, and managing mathematical logic and foundations.

  • Research Methods in Mathematics

    Year 1Semester 23 creditsCore

    Examines research, methods, mathematics, proof, and conducting research in mathematics, preparing students for their thesis.

  • Commutative Algebra

    Year 2Semester 13 creditsCore

    Covers commutative algebra, covering rings, ideals, modules, algebraic, and managing commutative algebra and algebraic structures.

  • Algebraic Geometry

    Year 2Semester 13 creditsCore

    Examines algebraic geometry, covering algebraic, geometry, varieties, schemes, and managing algebraic geometry.

  • Research Thesis

    Year 2Semester 212 creditsCore

    Original supervised research thesis on a pure mathematics topic, demonstrating mastery of research methods and mathematical knowledge, assessed through written submission and oral defence.

Specialisations

  • Algebra

    Focuses on algebra, covering groups, rings, fields, modules, and managing abstract algebra and algebraic structures.

  • Analysis

    Examines analysis, covering real, complex, functional, measure, and managing real and complex analysis.

  • Topology

    Covers topology, covering topological, spaces, algebraic, geometry, and managing topology and topological spaces.

  • Number Theory

    Focuses on number theory, covering numbers, primes, algebraic, analytic, and managing number theory and arithmetic.

  • Geometry

    Examines geometry, covering differential, algebraic, geometry, manifolds, and managing differential and algebraic geometry.

  • Mathematical Logic

    Covers mathematical logic, covering logic, sets, proof, computability, and managing mathematical logic and foundations.

A day as a student

A typical day during the MSc in Pure Mathematics programme combines lectures, problem-solving sessions, seminars, and independent study. Sessions cover algebra, analysis, topology, number theory, and geometry. Algebra sessions examine groups, rings, fields, modules, and managing abstract algebra and algebraic structures. Analysis sessions cover real, complex, functional, measure, and managing real and complex analysis. Topology sessions cover topological, spaces, algebraic, geometry, and managing topology and topological spaces. Number theory sessions cover numbers, primes, algebraic, analytic, and managing number theory and arithmetic. Geometry sessions cover differential, algebraic, geometry, manifolds, and managing differential and algebraic geometry. Functional analysis sessions cover spaces, operators, Banach, Hilbert, and managing functional analysis. Mathematical logic sessions cover logic, sets, proof, computability, and managing mathematical logic and foundations. Research methods sessions cover research, methods, mathematics, proof, and conducting research in mathematics. Problem-solving sessions provide practical experience in proving theorems and solving mathematical problems. Seminars provide opportunities for presenting research findings and discussing current developments in mathematics. The programme culminates in a supervised research thesis on a pure mathematics topic.

The trade offs

In its favour

  • Programme offered at multiple public universities providing choice and flexibility.
  • Programme provides rigorous training in mathematical reasoning and proof writing.
  • Graduates are eligible for AMU and AMS professional membership.
  • Pure mathematics skills are transferable to data science, finance, cryptography, and technology.

Against it

  • Fees vary significantly, from KES 130,000/year at Chuka to KES 362,500/year at UoN.
  • No private university confirmed offering this programme.
  • Programme may have limited direct career paths compared to applied mathematics.
  • Programme requires strong mathematical background and aptitude for abstract reasoning.

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
Public130k to 352k
130k at Chuka University352k at University of Nairobi

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

UoN 352K/yr mathematics.uonbi.ac.ke; Chuka 130K/yr. Private unverified.

HELB postgraduate loans are available for Kenyan students. Universities may offer scholarships for eligible students. IMU and AMS may offer scholarships and grants for mathematics research and education.

Funding options

  • HELB Postgraduate Loan

  • University Scholarship

  • IMU Scholarship

Scholarships

3 recorded

  • HELB Postgraduate Loan

    LoanKsh 200,000Kenyan

    Kenyan students pursuing postgraduate studies at recognised universities.

  • University Scholarship

    ScholarshipKsh 362,500Kenyan

    Universities may offer scholarships for eligible postgraduate mathematics students.

  • IMU Scholarship

    ScholarshipKsh 150,000

    IMU may offer scholarships and grants for mathematics research and education.

Getting in

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

What you need

KCSE mean grade
N/A (Postgraduate)
Alternative entry
Most universities require at least an Upper Second Class Honours degree with a major in Pure Mathematics or a related field. Lower Second Class may be considered with relevant work experience. Contact respective universities for specific admission requirements.

How you are assessed

4 components

  • Coursework and Continuous Assessment

    Coursework30% of the mark

    Continuous assessment through problem sets, coursework assignments, seminar presentations, and class participation.

  • Written Examinations

    Examination70% of the mark

    Written examinations covering algebra, analysis, topology, number theory, and geometry.

  • Seminar Presentation

    Project30% of the mark

    Assessment through seminar presentations on advanced mathematical topics, demonstrating understanding and communication of mathematical concepts.

  • Research Thesis

    Research100% of the mark

    Original supervised research thesis on a pure mathematics topic, demonstrating mastery of research methods and mathematical knowledge, assessed through written submission and oral defence.

Accreditation

The programme is accredited by the Commission for University Education (CUE). University of Nairobi, Chuka University, Multimedia University of Kenya, Kibabii University, University of Kabianga, and Karatina University (all public) offer MSc in Pure Mathematics. The programme meets CUE standards for postgraduate training in pure mathematics. Graduates may pursue AMU and AMS professional membership. The programme aligns with IMU global mathematical standards.

Accredited by

  • Commission for University Education (CUE)

    Academic accreditationRequired

    Programme accredited by CUE. University of Nairobi, Chuka University, Multimedia University of Kenya, Kibabii University, University of Kabianga, and Karatina University (all public) offer MSc in Pure Mathematics. The programme meets CUE standards for postgraduate training in pure mathematics. Graduates may pursue AMU and AMS professional membership. The programme aligns with IMU global mathematical standards.

Where it leads

The roles it opens, and what you leave with.

Where graduates go

6 roles

  • University Lecturer

    Moderate demandKsh 100,000 to Ksh 400,000

    Teaches mathematics at university or college level, overseeing instruction, research, and academic supervision.

  • Research Mathematician

    Moderate demandKsh 120,000 to Ksh 450,000

    Conducts mathematical research, overseeing research, proofs, publications, and managing mathematical research.

  • Data Analyst

    High demandKsh 100,000 to Ksh 400,000

    Analyses data using mathematical and statistical methods, overseeing analysis, data, reporting, and managing data analysis.

  • Statistician

    High demandKsh 120,000 to Ksh 450,000

    Applies statistical methods, overseeing statistics, analysis, modelling, and managing statistical analysis and modelling.

  • Actuary

    High demandKsh 150,000 to Ksh 500,000

    Applies mathematical and statistical methods to assess risk, overseeing actuarial, risk, modelling, and managing actuarial science.

  • Quantitative Analyst

    Moderate demandKsh 150,000 to Ksh 500,000

    Applies mathematical models to financial problems, overseeing quantitative, analysis, modelling, and managing quantitative analysis.

Graduate outcomes

Graduates pursue careers as university lecturers, research mathematicians, data analysts, statisticians, actuaries, and quantitative analysts across academia, research institutions, financial services, and technology companies.

Where these fields lead

8 careers

Tools you will learn

  • MATLAB

    SoftwarePrimary

    MATLAB for mathematical computing, covering computation, visualisation, programming, and managing mathematical computing.

  • Mathematica

    Software

    Mathematica for symbolic computation, covering symbolic, computation, algebra, and managing symbolic and computational mathematics.

  • LaTeX

    Software

    LaTeX for mathematical typesetting, covering typesetting, documents, mathematics, and managing mathematical document preparation.

  • Python

    Software

    Python for mathematical computing and data analysis, covering computing, analysis, programming, and managing mathematical computing.

Industry links

Common misconceptions

  • Pure mathematics has no practical applications.

    Pure mathematics underpins cryptography, coding theory, quantum computing, and many other applied fields, making it fundamentally practical.

  • This programme is only for future academics.

    Pure mathematics graduates pursue careers in finance, technology, data science, cryptography, and consulting beyond just academia.

  • Pure mathematics is just about solving equations.

    Pure mathematics focuses on abstract structures, proofs, logical reasoning, and mathematical foundations beyond just solving equations.

  • You need to be a genius to study pure mathematics.

    Pure mathematics requires dedication, practice, and systematic study, not just innate genius.

  • Pure mathematics has limited career prospects in Kenya.

    Pure mathematics graduates are in demand in Kenya's growing fintech, data science, and education sectors.

  • Applied mathematics is more useful than pure mathematics.

    Pure and applied mathematics are complementary, with pure mathematics providing the theoretical foundations for applied mathematics.

Related courses

Further reading

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