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Science · Master's

Master of Philosophy in Mathematics (Research)

Universiti Teknologi Malaysia (UTM)

Program overview

The Master of Philosophy in Mathematics (Research) at UTM University Malaysia is offered by the Department of Mathematics, which has expertise in various research areas Attendance at departmental seminars is compulsory, and research students are strongly encouraged to publish in indexed journals and present at conferences

To deepen their knowledge in specific topics, students have the opportunity to attend suitable lectures from the M.Sc by Taught Course and Research (Mixed Mode) program This structure supports a robust research environment, fostering academic growth and professional development in the field of mathematics.

Entry Requirements

  • A Bachelor’s Degree with good honours from Universiti Teknologi Malaysia or any other institution of higher learning recognised by the Senate.

For other qualifications and certificates (e.g., Other qualifications equivalent to a Bachelor’s degree , etc..) please contact our educational consultants or submit your application for Admission assessment.

Future Careers

Graduates of the program can work as:

  • Mathematics Practitioners
  • Researchers
  • Academicians

They may find opportunities in various institutions and industries, applying their expertise in different mathematical contexts.

Curriculum

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Areas of Research

Algebra and Analysis

  • Fuzzy Mathematics and Its Applications: Fuzzy Modelling of Neuro Magnetic Field, Fuzzy Approach for Multivariable Control Systems; Algebraic and Topological Views of Fuzzy Models.
  • Algebraic Computation: Modular Technique, GCD of Generalized Polynomials, Algebraic Geometry Techniques and its Applications.
  • Group Theory and its Applications: Capability of Groups, Nonabelian Tensor Squares, Homological Functors, Probability Theory in Group Theory.
  • Formal Language Theory and its Applications: Splicing Systems and DNA.
  • Vector Bundles.
  • Representation Theory

Applied Mathematics

  • Non-linear Waves: Forced Soliton, Optical Soliton, Surface Waves, Waves Groups.
  • Spin Waves.
  • Theoritical and Computational Fluid Dynamics: Boundary Layer Flows, Low-Gravity, Physiological Flows.
  • Applied and Computational Complex Analysis: Conformal Mapping, Complex Boundary Value Problems.
  • Special Functions.
  • Modelling of Mass Transfer Processes in the RDC Column.
  • Functional Integral in Mathematical Physics.
  • Fuzzy Delay Differential Equations

Numerical Analysis and Computational Mathematics

  • Boundary Value Problems : Finite Element Methods, Boundary Element Methods.
  • Intergral Equation Approach for Numerical Conformal Mapping and the Solution of Riemann Problems.
  • Stiff Differential Equations.
  • Differential Quadrature Method, Meshless Method, Multiscale Technique, Parallel Computing
  • Molecular Modelling
  • Computational Quantum Mechanics

Operations Research

  • Systems Optimization: Nonlinear Optimal Control Algorithm, Hierarchical Optimal Control
  • Routing: VLSI design, Mobile Computing, Wireless Networks, Parallel Computing Systems
  • Scheduling: Multiprocessor Scheduling, Job-shop, Vehicle Routing
  • Location Analysis
  • Financial Mathematics, Game Theory Applications
  • Heuristics Methods for Optimization
  • Numerical Optimization of Nonlinear Functions

Statistics

  • Time Series: Flood Modelling; Extreme Value Distributions.
  • Multivariate Analysis: Detection of Multiple Outliers, Missing Data.
  • Linear Models : Energy Forecasting, Performance Evaluation Methods.
  • Stochastic Processes

Entry requirements

Master's: a bachelor's degree in a related field.

Typically IELTS 6 or equivalent (TOEFL / PTE). Some universities offer a preparatory English program if you haven't reached the score yet.

Exact requirements vary by program, and an English certificate such as IELTS or an equivalent may be required.

Career opportunities

  • Research scientist
  • Lab specialist
  • Quality analyst
  • Biotechnologist

Is this program right for you?

Send us your qualifications and we'll confirm your eligibility and next steps during your consultation.

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