UBSCHMATPHY-2024-5-O - L-Università ta' Malta

Course Title

Bachelor of Science (Honours) in Mathematics and Physics

MQF Level

Duration and Credits

4 Years

240 ECTS

Mode of Study

Full-time

Information for International applicants

Refer to the list of country-specific qualifications

Mathematics

An Advanced Level pass at Grade C or better in Pure Mathematics.

Physics

Either

A pass at Advanced Level at Grade C or better in Physics together with a pass at Intermediate Level at Grade C or better in Pure Mathematics

A pass at Advanced Level at Grade C or better in Pure Mathematics together with a pass at Intermediate Level at Grade C or better in Physics.

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Applications for our February and October intakes have been officially open since the third week in November. You can submit your application online. The deadlines for submission of applications vary according to the intake and courses. We encourage all international applicants to submit their applications as soon as possible. This is especially important if you require a visa to travel and eventually stay in Malta.

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.

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

Mathematics

Mathematics underlies the pursuit of every scientific endeavour as it equips you with the necessary body of knowledge and competences. Most of the Mathematics study-units in the first two years of the degree are compulsory. In the third year, students are asked to choose a stream from four available options. The four options are Graph Theory and Combinatorics, Functional Analysis and Topology, Applied Mathematics, and Biomathematics.

Physics

The course design reflects the need to provide as wide a base as the human resources of the department permit. It provides a sound basis in the subject during the first three years, with some specialisation in chosen areas offered during the final year. You will be equipped with the necessary knowledge, experience and skills to pursue careers as scientists within the industry, administration, education and, of course, research.

Mathematics

The Course shall consist of two parts, namely, Part One comprising the first three years and Part Two comprising the fourth year.

Part One shall consist of study-units to which 180 credits are assigned and indicated in the programme of study and divided as follows:

First Year: in addition to the compulsory and elective study-units outlined in the programme of studies of the chosen areas (not less than 26 credits in each of the two areas), students are required to register for optional study-units to bring their total for the year to 60 credits,

Second Year: 30 credits in each of the two areas of study,

Third Year: 30 credits in each of the two areas of study.

At the end of Part One, students who obtain 180 credits as specified in paragraph (1) but who either opt not to proceed with the Course leading to the Honours Degree, or having proceeded, do not successfully complete the Course, shall be eligible for the award of the degree of Bachelor of Science (B.Sc.).

Part Two shall consist of study-units to which 60 credits are assigned divided as follows:
1. 40 credits in one area of study, of which 18 credits are assigned to a dissertation, and
2. 20 credits in the other area of study,

provided that in the case of Mathematics, the dissertation may be substituted by one or more additional taught study-units.

Physics

The Course shall consist of two parts, namely, Part One comprising the first three years and Part Two comprising the fourth year.

Part One shall consist of study-units to which 180 credits are assigned and indicated in the programme of study and divided as follows:

Second Year: 30 credits in each of the two areas of study,

Third Year: 30 credits in each of the two areas of study.

Part Two shall consist of study-units to which 60 credits are assigned divided as follows:
1. 40 credits in one area of study, of which 18 credits are assigned to a dissertation, and
2. 20 credits in the other area of study,

provided that in the case of Mathematics, the dissertation may be substituted by one or more additional taught study-units.

Communication and Academic Skills Programme

The communication and academic skills programme complements students’ main course of study. It introduces them to writing and presenting as situated within academic contexts sensitive to specific disciplines and develops their competences for future careers.

Mathematics

Students NOT taking Statistics and Operations Research as a principal subject must take study-unit SOR1110. Students taking Statistics and Operations Research must register for 4 ECTS credits from the electives offered during the year, except for SOR1110.Students taking Statistics and Operations Research as a principal subject must choose the following elective study-units: Either study-unit MAT1611 Or study-unit PHY1020 and PHY1030.


Year (This/these unit/s start/s in Semester 1 and continue/s in Semester 2)

Elective Unit (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

SOR1110	Probability	4 ECTS


Semester 1

Compulsory Units (All students must register for this/these unit/s)

MAT1091	Mathematical Methods	4 ECTS
MAT1100	Introductory Mathematics	4 ECTS
MAT1511	Analytical Geometry	4 ECTS

Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT1611*	Introductory Mechanics	4 ECTS
PHY1020	Basic Concepts in Physics 1	2 ECTS
* Study-unit MAT1611 is compulsory for students who are taking Statistics and Operations Research as a principal subject and do not have Intermediate Applied Mathematics.

Semester 2

Compulsory Units (All students must register for this/these unit/s)

MAT1115	Introduction to Groups	4 ECTS
MAT1116	Introduction to Vector Spaces	2 ECTS
MAT1211	Analysis 1	4 ECTS
MAT1411	Discrete Methods	4 ECTS

Elective Unit (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

PHY1030	Basic Concepts in Physics 2	2 ECTS

In addition to the compulsory study-units, students are required to choose one study-unit to the value of 2 ECTS credits from the elective study-units on offer during the year.


Semester 1

Compulsory Units (All students must register for this/these unit/s)

MAT2112	Linear Algebra 1	4 ECTS
MAT2113	Rings	4 ECTS
MAT2212	Analysis 2	4 ECTS
MAT2512	Vector Analysis 1	4 ECTS


Semester 2

Compulsory Units (All students must register for this/these unit/s)

MAT2213	Analysis 3	4 ECTS
MAT2413	Introduction to Graph Theory with Applications	4 ECTS
MAT2513	Vector Analysis 2	4 ECTS

Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT2005	Introduction to Mathematical Logic	2 ECTS
MAT2912	Computational Mathematics	2 ECTS

Mathematics students in the third year of the B.Sc. (Hons.) course must choose ONE of the FOUR elective streams as indicated below.

The elective streams are:
Elective Stream A - Applied MathematicsThis stream contains SEVEN compulsory study-units and EIGHT elective study-units from which ONE is to be chosen.

Elective Stream B - Graph Theory and Combinatorics This stream contains SIX compulsory study-units and NINE elective study-units from which TWO are to be chosen.

Elective Stream C - Mathematical AnalysisThis stream contains SEVEN compulsory study-units and EIGHT elective study-units from which ONE is to be chosen.

Elective Stream D - BiomathematicsThis stream contains SEVEN compulsory study-units and EIGHT elective study-units from which ONE is to be chosen.


Semester 1

Elective Stream A - Applied Mathematics Compulsory Units (All students must register for this/these unit/s)

MAT3114	Linear Algebra 2	2 ECTS
MAT3214	Complex Analysis	4 ECTS
MAT3215	Metric Spaces	4 ECTS
MAT3221	Analysis 4	4 ECTS
MAT3711	Differential Equations	4 ECTS

Elective Stream A - Applied Mathematics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3115*	Groups	4 ECTS

Elective Stream B - Graph Theory and Combinatorics Compulsory Units (All students must register for this/these unit/s)

MAT3114	Linear Algebra 2	2 ECTS
MAT3115	Groups	4 ECTS
MAT3214	Complex Analysis	4 ECTS
MAT3215	Metric Spaces	4 ECTS

Elective Stream B - Graph Theory and Combinatorics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3221*	Analysis 4	4 ECTS
MAT3711*	Differential Equations	4 ECTS

Elective Stream C - Mathematical Analysis Compulsory Units (All students must register for this/these unit/s)

MAT3114	Linear Algebra 2	2 ECTS
MAT3214	Complex Analysis	4 ECTS
MAT3215	Metric Spaces	4 ECTS
MAT3221	Analysis 4	4 ECTS

Elective Stream C - Mathematical Analysis Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3115*	Groups	4 ECTS
MAT3711*	Differential Equations	4 ECTS

Elective Stream D - Biomathematics Compulsory Units (All students must register for this/these unit/s)

MAT3114	Linear Algebra 2	2 ECTS
MAT3214	Complex Analysis	4 ECTS
MAT3215	Metric Spaces	4 ECTS
MAT3221	Analysis 4	4 ECTS
MAT3711	Differential Equations	4 ECTS

Elective Stream D - Biomathematics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3115	Groups	4 ECTS
* It is recommended that students select these study-units from the list of elective study-units of each stream.

Semester 2

Elective Stream A - Applied Mathematics Compulsory Units (All students must register for this/these unit/s)

MAT3612	Mechanics	4 ECTS
MAT3715	Methods of Applied Mathematics	4 ECTS

Elective Stream A - Applied Mathematics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3000	Introductory Set Theory	4 ECTS
MAT3217*	Lebesgue Integration	4 ECTS
MAT3225	Geometry of the Plane	4 ECTS
MAT3415	Probabilistic and Extremal Combinatorics	4 ECTS
MAT3425	Topics in Topological and Algebraic Graph Theory	4 ECTS
MAT3750*	Essential Mathematical Biology	4 ECTS
MAT3771*	Numerical Analysis	4 ECTS

Elective Stream B - Graph Theory and Combinatorics Compulsory Units (All students must register for this/these unit/s)

MAT3415	Probabilistic and Extremal Combinatorics	4 ECTS
MAT3425	Topics in Topological and Algebraic Graph Theory	4 ECTS

Elective Stream B - Graph Theory and Combinatorics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3000*	Introductory Set Theory	4 ECTS
MAT3217	Lebesgue Integration	4 ECTS
MAT3225	Geometry of the Plane	4 ECTS
MAT3612	Mechanics	4 ECTS
MAT3715	Methods of Applied Mathematics	4 ECTS
MAT3750*	Essential Mathematical Biology	4 ECTS
MAT3771*	Numerical Analysis	4 ECTS

Elective Stream C - Mathematical Analysis Compulsory Units (All students must register for this/these unit/s)

MAT3000	Introductory Set Theory	4 ECTS
MAT3217	Lebesgue Integration	4 ECTS
MAT3225	Geometry of the Plane	4 ECTS

Elective Stream C - Mathematical Analysis Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3415	Probabilistic and Extremal Combinatorics	4 ECTS
MAT3425	Topics in Topological and Algebraic Graph Theory	4 ECTS
MAT3612	Mechanics	4 ECTS
MAT3715	Methods of Applied Mathematics	4 ECTS
MAT3750	Essential Mathematical Biology	4 ECTS
MAT3771*	Numerical Analysis	4 ECTS

Elective Stream D - Biomathematics Compulsory Units (All students must register for this/these unit/s)

MAT3715	Methods of Applied Mathematics	4 ECTS
MAT3750	Essential Mathematical Biology	4 ECTS

Elective Stream D - Biomathematics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3000	Introductory Set Theory	4 ECTS
MAT3217*	Lebesgue Integration	4 ECTS
MAT3225	Geometry of the Plane	4 ECTS
MAT3415	Probabilistic and Extremal Combinatorics	4 ECTS
MAT3425	Topics in Topological and Algebraic Graph Theory	4 ECTS
MAT3612*	Mechanics	4 ECTS
MAT3771*	Numerical Analysis	4 ECTS
* It is recommended that students select these study-units from the list of elective study-units of each stream.

Students taking 40 ECTS credits in Mathematics must take MAT3999 and five study-units of 5 ECTS credits each. The students must continue with the Elective Stream they chose in the third year. Students taking 20 ECTS credits in Mathematics must take four study-units of 5 ECTS credits each. The students must continue with the Elective Stream they chose in the third year.

The elective streams are:
Elective Stream A - Applied Mathematics:
This stream contains FOUR compulsory study-units and EIGHT elective study-units from which ONE (only for those taking 40 ECTS credits in Mathematics) is to be chosen.

Elective Stream B - Graph Theory and Combinatorics:
This stream contains FOUR compulsory study-units and EIGHT elective study-units from which ONE (only for those taking 40 ECTS credits in Mathematics) is to be chosen.

Elective Stream C - Mathematical Analysis:
This stream contains FOUR compulsory study-units and EIGHT elective study-units from which ONE (only for those taking 40 ECTS credits in Mathematics) is to be chosen.

Elective Stream D - Biomathematics:
This stream contains FOUR compulsory study-units and EIGHT elective study-units from which ONE (only for those taking 40 ECTS credits in Mathematics) is to be chosen.


Year (This/these unit/s start/s in Semester 1 and continue/s in Semester 2)

*Project Study-Unit* Compulsory Units (All students must register for this/these unit/s)

MAT3999	Project in Mathematics	15 ECTS	(NC)

Elective Stream A - Applied Mathematics Compulsory Units (All students must register for this/these unit/s)

MAT3211	Functional Analysis: Hilbert Spaces	5 ECTS
MAT3513	Tensors and Relativity	5 ECTS
MAT3772	Numerical Methods for Differential Equations	5 ECTS

Elective Stream A - Applied Mathematics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3116*	Group Representations	5 ECTS
MAT3210*	Functional Analysis: Normed Spaces	5 ECTS
MAT3212	Further Metric Spaces - Completion and Dimension	5 ECTS
MAT3219*	Topological Spaces	5 ECTS
MAT3410	Graph Theory	5 ECTS
MAT3613*	Classical Mechanics	5 ECTS
MAT3755*	Advanced Mathematical Modeling in Biology	5 ECTS

Elective Stream B - Graph Theory and Combinatorics Compulsory Units (All students must register for this/these unit/s)

MAT3116	Group Representations	5 ECTS
MAT3211	Functional Analysis: Hilbert Spaces	5 ECTS
MAT3410	Graph Theory	5 ECTS

Elective Stream B - Graph Theory and Combinatorics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3210*	Functional Analysis: Normed Spaces	5 ECTS
MAT3212*	Further Metric Spaces - Completion and Dimension	5 ECTS
MAT3219*	Topological Spaces	5 ECTS
MAT3513	Tensors and Relativity	5 ECTS
MAT3613	Classical Mechanics	5 ECTS
MAT3755	Advanced Mathematical Modeling in Biology	5 ECTS
MAT3772	Numerical Methods for Differential Equations	5 ECTS

Elective Stream C - Mathematical Analysis Compulsory Units (All students must register for this/these unit/s)

MAT3210	Functional Analysis: Normed Spaces	5 ECTS
MAT3211	Functional Analysis: Hilbert Spaces	5 ECTS
MAT3212	Further Metric Spaces - Completion and Dimension	5 ECTS
MAT3219	Topological Spaces	5 ECTS

Elective Stream C - Mathematical Analysis Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3116*	Group Representations	5 ECTS
MAT3410	Graph Theory	5 ECTS
MAT3513	Tensors and Relativity	5 ECTS
MAT3613	Classical Mechanics	5 ECTS
MAT3755	Advanced Mathematical Modeling in Biology	5 ECTS
MAT3772*	Numerical Methods for Differential Equations	5 ECTS

Elective Stream D - Biomathematics Compulsory Units (All students must register for this/these unit/s)

MAT3211	Functional Analysis: Hilbert Spaces	5 ECTS
MAT3755	Advanced Mathematical Modeling in Biology	5 ECTS
MAT3772	Numerical Methods for Differential Equations	5 ECTS

Elective Stream D - Biomathematics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3116	Group Representations	5 ECTS
MAT3210*	Functional Analysis: Normed Spaces	5 ECTS
MAT3212	Further Metric Spaces - Completion and Dimension	5 ECTS
MAT3219*	Topological Spaces	5 ECTS
MAT3410*	Graph Theory	5 ECTS
MAT3513*	Tensors and Relativity	5 ECTS
MAT3613*	Classical Mechanics	5 ECTS
* It is recommended that students select these study-units from the list of elective study-units of each stream. Students are strongly advised to check that they have the necessary prerequisites for each chosen elective study-unit.

Semester 2

Elective Stream A - Applied Mathematics Compulsory Units (All students must register for this/these unit/s)

MAT3712	Partial Differential Equations and Calculus of Variations	5 ECTS

Elective Stream A - Applied Mathematics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3411	Combinatorics	5 ECTS

Elective Stream B - Graph Theory and Combinatorics Compulsory Units (All students must register for this/these unit/s)

MAT3411	Combinatorics	5 ECTS

Elective Stream B - Graph Theory and Combinatorics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3712	Partial Differential Equations and Calculus of Variations	5 ECTS

Elective Stream C - Mathematical Analysis Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3411*	Combinatorics	5 ECTS
MAT3712*	Partial Differential Equations and Calculus of Variations	5 ECTS

Elective Stream D - Biomathematics Compulsory Units (All students must register for this/these unit/s)

MAT3712	Partial Differential Equations and Calculus of Variations	5 ECTS

Elective Stream D - Biomathematics Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints)

MAT3411*	Combinatorics	5 ECTS
* It is recommended that students select these study-units from the list of elective study-units of each stream. Students are strongly advised to check that they have the necessary prerequisites for each chosen elective study-unit.

Physics


Year (This/these unit/s start/s in Semester 1 and continue/s in Semester 2)

Compulsory Units (All students must register for this/these unit/s)

PHY1105	Fundamentals of Experimental Physics	4 ECTS	(NC)
PHY1197	Introduction to Classical Mechanics and Waves	6 ECTS


Semester 1

Compulsory Units (All students must register for this/these unit/s)

PHY1125	Mathematics for Physicists 1	4 ECTS
PHY1133	Python for Physicists	4 ECTS
PHY1134	Introduction to Numerical Methods	2 ECTS
PHY1193	Thermodynamics and Kinetic Theory	4 ECTS


Semester 2

Compulsory Units (All students must register for this/these unit/s)

PHY1145	Electricity and Magnetism and Optics	6 ECTS


Year (This/these unit/s start/s in Semester 1 and continue/s in Semester 2)

Compulsory Units (All students must register for this/these unit/s)

PHY2145	Electromagnetism	4 ECTS
PHY2230	Experimental Physics	4 ECTS	(NC)


Semester 1

Compulsory Units (All students must register for this/these unit/s)

CHE1750*	Health and Safety in the Chemistry Laboratory	2 ECTS
PHY2195	Classical and Relativistic Mechanics	6 ECTS
PHY2210	Mathematics for Physicists 2	4 ECTS
* Study-unit CHE1750 is only available for students following Chemistry and Physics.

Semester 2

Compulsory Units (All students must register for this/these unit/s)

LIN1063**	Academic Reading and Writing in English	2 ECTS
PHY2140	Quantum Mechanics	6 ECTS
PHY3110	Physical Optics	4 ECTS
Study-unit LIN1063 is not** available for students following Chemistry and Physics.


Year (This/these unit/s start/s in Semester 1 and continue/s in Semester 2)

Compulsory Units (All students must register for this/these unit/s)

PHY3111	Advanced Experimental Physics	6 ECTS	(NC)
PHY3145	Statistical Mechanics	5 ECTS
PHY3515	Gravitation and Cosmology	6 ECTS


Semester 1

Compulsory Units (All students must register for this/these unit/s)

PHY3130	Atomic Physics	4 ECTS
PHY3225	Fluid Mechanics	4 ECTS


Semester 2

Compulsory Units (All students must register for this/these unit/s)

PHY3155	Solid State Physics	5 ECTS

If Physics is chosen as the main area of study:
Students are required to register for 32 ECTS credits from the list of compulsory study-units, and 8 ECTS credits from the list of Elective Stream linked to their project area to a total of 40 ECTS credits.

If Physics is chosen as the other area of study:
Students are required to register for 12 ECTS credits from the list of compulsory study-units and 8 ECTS credits from the list of Elective Stream of their choice to a total of 20 ECTS credits.


Year (This/these unit/s start/s in Semester 1 and continue/s in Semester 2)

Compulsory Units (All students must register for this/these unit/s)

PHY3200*	Physics Project	18 ECTS	(NC)
PHY3208	Short Review Paper and Philosophy of Science	6 ECTS
PHY3209*	Seminar	2 ECTS
PHY3232	Nuclear and Particle Physics	6 ECTS

Elective Stream A: Space Sciences.

PHY3289	Advanced Astrophysics and Cosmology	4 ECTS

Elective Stream B: Electromagnetics.

PHY3277	Bioelectromagnetism	4 ECTS
PHY3279	Applied Electromagnetism	4 ECTS


Semester 1

Elective Stream A: Space Sciences.

PHY3287	Computational Astronomy	4 ECTS

Elective Stream C: Quantum Physics.

PHY3227	Quantum Optics	4 ECTS


Semester 2

Elective Stream C: Quantum Physics.

PHY3229	Modern Quantum Theory	4 ECTS

*Study-units PHY3200 and PHY3209 are only for students taking Physics as their main area.

This programme of study is governed by the General Regulations for University Undergraduate Awards, 2019 and by the Bye-Laws for the award of the Bachelor of Science and the Bachelor of Science (Honours) under the auspices of the Faculty of Science.

Mathematics

Upon successfully finishing the course, you will be able to:

Understand and employ the basic rules of logic, including the role of axioms or assumptions.
Recognize real-world problems that are amenable to mathematical analysis, and formulate mathematical models of such problems.
Explain fundamental mathematical concepts or analyses of real-world problems to non-mathematicians.

Physics

By the end of the course, you will:

Demonstrate a refined and intricate understanding of the concepts and fundamentals of physics principles.

Communicate physics reasoning effectively in the oral and written form.

Solve complex physics problems through the use of sophisticated mathematical techniques.

Non EU Applicants:

Fee per academic year: Eur 10,800

You are viewing the fees for non EU nationals. Switch to EU nationals if you are a national of any country from within the EU/EEA.

Mathematics

As a mathematician, you may work in the public sector, such as in the Central Bank of Malta, Ministry for Finance, Economic Policy Department, National Statistics Office, Malta Financial Services Authority; and in the private sector such as in insurance companies, banks, financial institutions, gaming companies, and consultancy firms. You may also find employment in the academic, manufacturing, logistics or IT sectors.

The Department of Mathematics also offers postgraduate degrees, both at masters and doctoral levels (M.Sc. and Ph.D.) in Mathematics. Based on world-wide recognition of University of Malta degrees, our graduates and postgraduates have been accepted to continue their studies in a wide range of overseas institutions in Europe, the United States and elsewhere.

Physics

As a physicist, you will be the most versatile of scientists, capable of tackling a variety of both every-day and specialist problems. You may find employment in government departments, with private industry, with public authorities, as teachers in state and private or church schools and research laboratories, both locally and abroad.

The physics programme equips you to join postgraduate courses (both locally and abroad). Such courses may range from taught and/or research Masters to M.Phil. and Ph.D.

Every effort has been made to provide information that is current and accurate. However, as the content is being constantly updated, users are advised to verify the details contained in these web pages with the relevant University office or authority before making decisions based on the published information.