Master of Science in Mathematics

Master of Science in Mathematics

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Course information

Course title Master of Science in Mathematics
Course code PMSCMATFTT5
Postnominal M.Sc.(Melit.)
Level of qualification Second Cycle
National Qualifications Framework level Level 7
Duration 3 Semesters
Mode of attendance Full-time
Total ECTS credits 90
Coordinator David Buhagiar
Delivered by Faculty of Science
This programme of study is also offered on a part-time basis. Please consult the Registrar’s website for more information pertaining to courses offered by the University.

The purpose of the postgraduate programme in Mathematics is to consolidate the Mathematical knowledge obtained in the Bachelor’s course and of specialising and doing research in select branches of Mathematics.
The Course shall be offered in areas of study in which the Faculty can offer expert guidance and supervision and subject to the availability of resources as determined by the Department of Mathematics.
Students are required to write a dissertation based on work of an advanced or original nature performed by students during the Course and the presentation of their findings and conclusions in a scholarly manner.

Research Areas

Graph Theory and Combinatorics:
• Graph spectra
• Singular graphs, polynomial reconstruction, line graphs of trees
• Possible equations in stoichiometry, applications to the structure of fullerenes
• Graph partitions, main eigenvalues, walks of graphs, self complementary graphs
• Reconstruction, pseudosimilarity and related problems on graph symmetries
• Applications of graph theory to error-correcting codes
• Combinatorics of finite sets
• Independence and domination in graphs.

Mathematical Analysis and Applications:
• Subspace structures of inner product spaces as quantum logics
• Non-commutative measure theory
• Measure-theoretic characterisations of topological properties
• Order topologies
• Cardinal Functions
• Selection theory.

Mathematical Physics and Applications:
• Random Schrödinger operators with the presence of a random potential in a magnetic field
• The theory of self-adjoint operators and probability theory as applied to operators, application to the quantum Hall effect
• The general theory of relativity and relativistic astrophysics
• Plasma physics in magnetically confined fusion plasmas
• Numerical solution of partial differential equations using the finite element and similar methods.

Inverse Problems and Mathematical Modelling

• Development of new technologies for public health and diagnostics
• Medical imaging techniques including Electrical Impedance Tomography, Microwave imaging, Thermography
• Analytical and numerical methods to solve forward and inverse problems for non-linear partial differential equations
• Integral equation methods
• Regularization methods for ill-posed inverse problems
• Non-destructive testing
• Systems biology and mathematical modelling for biological applications
• Data analysis and visualisation, programming and algorithm development with MATLAB

Request more information

The Course shall be open to applicants in possession of one of the following qualifications:

(a) the degree of Bachelor of Science with at least Second Class Honours in an area of study deemed by the Board to be relevant to the proposed area of study and obtained in the 10 years previous to registration for the Course or

(b) the Bachelor of Science with Third Class Honours in an area of study deemed by the Board to be relevant to the proposed area of study and obtained in the 10 years previous to registration for the Course, provided that the applicants have obtained other qualifications, including relevant experience, following their first cycle degree. The Board may, at its discretion, require such applicants to follow a preparatory programme as specified below.

The Board, at its discretion, may also recommend the admission of applicants in possession of a Bachelor of Science with at least Category II in an area of study deemed by the Board to be relevant to the proposed area of study and obtained in the 10 years previous to registration for the Course, provided that the admission of such applicants shall be made conditional on the result of an interview and in such cases they shall be required to follow a preparatory programme as specified below.

The Board, at its discretion, may also recommend the admission of applicants with a first cycle degree deemed by the Board to be relevant to the proposed area of study and obtained in the 10 years previous to registration for the Course, provided that the admission of such applicants may be conditional on the result of an interview and in such cases they may be required to follow a preparatory programme as specified below.

Applicants whose first degree was obtained more than 10 years previous to registration for the Course may also be admitted following an interview to ascertain their capability to follow the Course. The Board may, at its discretion, require such applicants to follow a preparatory programme as specified below.

Preparatory Programme

The preparatory programme shall comprise study-units to which not less than 30 credits and not more than 60 credits are assigned and shall also be governed by the Principal Regulations.

Students shall be required to successfully complete the preparatory programme with an average mark of 55% or better prior to their registration for the Course.

The admission requirements are applicable for courses commencing in October 2020.

For more detailed information pertaining to admission and progression requirements please refer to the bye-laws for the course available here.

UM currently hosts over 1,000 full-time international students and over 450 visiting students. The ever-increasing international students coming from various countries, in recent years, have transformed this 400-year old institution into an international campus.

Our international students generally describe Malta as a safe place, enjoying excellent weather and an all-year varied cultural programme. Malta is considered as the ideal place for students to study.

You can compare your national qualifications to the local requirements by visiting our qualifications comparability webpage.

Access more information about our admission process and English language requirements.

After you receive an offer from us, our International Office will assist you with visas, accommodation and other related issues.

Local/EU/EEA Applicants: Annual Enrolment Fee: Eur 400

Non-EU/Non-EEA Applicants: Total Tuition Fees: Eur 13,400
On completion of this programme, students will be able to demonstrate achievement of the following learning outcomes:

(a) Subject knowledge and understanding:
• identify and describe fundamental and advanced concepts, principles and techniques from a range of topic areas
• review specific knowledge and understanding determined by the particular choice of elective study-units, according to one’s particular needs and interests.

(b) Intellectual development:
• solve some problems using the methods and techniques taught
• assimilate complex mathematical ideas and arguments
• apply abstract mathematical thinking
• exhibit mathematical intuition.

(c) Key/transferable skills:
• synthesise and discuss knowledge, ideas and conclusions about mathematics
• use problem-solving skills by applying them independently to problems in pure and applied mathematics
• appraise different techniques used to address mathematical questions
• communicate clearly and effectively in writing about the subject.

(d) Other skills relevant to employability and personal development:
• exhibit and apply intellectual rigour and reasoning skills to address a range of tasks
• learn independently to advance one’s own knowledge, understanding and performance
• manage time and resources effectively and efficiently.
The M.Sc. in Mathematics is designed for those who want to continue their studies by delving more deeply into particular aspects of pure and applied mathematics. The range of elective study units being offered is sufficiently varied to achieve this aim.
Click here to access the Programme of Study applicable from 2020/1.

Last Updated: 30 September 2020

The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints.
Units not attracting a sufficient number of registrations may be withdrawn without notice.
Unless for exceptional approved reasons, no changes to the programme of study for a particular academic year will be made once the students' registration period for that academic year begins.

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