Mathematics
Students NOT taking Statistics and Operations Research as one of the main subjects must take study-unit
SOR1110.Students taking Statistics and Operations Research as one of the main subjects must register for 4 ECTS credits from the electives offered during the year; either study-unit MAT1611 or PHY1133 or study-units PHY1020 and PHY1030. Students are to check any present corresponding notes for each study-unit.
| 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) | |||||||||||
| SOR1110* | Probability | 4 ECTS | |||||||||
| * As per note in the header, study-unit SOR1110 is to be taken as a compulsory study-unit only by students NOT taking Statistics and Operations Research as one of the main subjects.. | |||||||||||
| 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 | |||||||||
| PHY1133 | Python for Physicists | 4 ECTS | |||||||||
| 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 | |||||||||
* Students who have obtained Physics at Advanced Level are ineligible to select PHY1020 and PHY1030.
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 | |||||||||
| Elective Unit (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints) | |||||||||||
| MAT2005 | Introduction to Mathematical Logic | 2 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) | |||||||||||
| 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 SEVEN 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 EIGHT elective study-units from which TWO are to be chosen.
Elective Stream C - Mathematical AnalysisThis stream contains SIX compulsory study-units and EIGHT elective study-units from which TWO are to be chosen.
Elective Stream D - BiomathematicsThis stream contains SEVEN compulsory study-units and SEVEN elective study-units from which ONE is to be chosen.
| Semester 1 | |||||||||||
| Elective Stream A - Applied MathematicsCompulsory 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 | |||||||||
| MAT3711 | Differential Equations | 4 ECTS | |||||||||
| Elective Stream A - Applied MathematicsElective 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 CombinatoricsCompulsory 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 CombinatoricsElective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints) | |||||||||||
| MAT3711* | Differential Equations | 4 ECTS | |||||||||
| Elective Stream C - Mathematical AnalysisCompulsory 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 | |||||||||
| Elective Stream C - Mathematical AnalysisElective 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 - BiomathematicsCompulsory 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 | |||||||||
| MAT3711 | Differential Equations | 4 ECTS | |||||||||
| Elective Stream D - BiomathematicsElective 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 MathematicsCompulsory Units (All students must register for this/these unit/s) | |||||||||||
| MAT3221 | Analysis 4 | 4 ECTS | |||||||||
| MAT3612 | Mechanics | 4 ECTS | |||||||||
| MAT3715 | Methods of Applied Mathematics | 4 ECTS | |||||||||
| Elective Stream A - Applied MathematicsElective 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 | |||||||||
| 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 Methods for Machine Learning | 4 ECTS | |||||||||
| Elective Stream B - Graph Theory and CombinatoricsCompulsory 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 CombinatoricsElective 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 | |||||||||
| MAT3221* | Analysis 4 | 4 ECTS | |||||||||
| MAT3612 | Mechanics | 4 ECTS | |||||||||
| MAT3715 | Methods of Applied Mathematics | 4 ECTS | |||||||||
| MAT3750* | Essential Mathematical Biology | 4 ECTS | |||||||||
| MAT3771* | Numerical Methods for Machine Learning | 4 ECTS | |||||||||
| Elective Stream C - Mathematical AnalysisCompulsory Units (All students must register for this/these unit/s) | |||||||||||
| MAT3000 | Introductory Set Theory | 4 ECTS | |||||||||
| MAT3217 | Lebesgue Integration | 4 ECTS | |||||||||
| MAT3221 | Analysis 4 | 4 ECTS | |||||||||
| Elective Stream C - Mathematical AnalysisElective 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 Methods for Machine Learning | 4 ECTS | |||||||||
| Elective Stream D - BiomathematicsCompulsory Units (All students must register for this/these unit/s) | |||||||||||
| MAT3221 | Analysis 4 | 4 ECTS | |||||||||
| MAT3715 | Methods of Applied Mathematics | 4 ECTS | |||||||||
| MAT3750 | Essential Mathematical Biology | 4 ECTS | |||||||||
| Elective Stream D - BiomathematicsElective 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 | |||||||||
| MAT3415* | Probabilistic and Extremal Combinatorics | 4 ECTS | |||||||||
| MAT3425 | Topics in Topological and Algebraic Graph Theory | 4 ECTS | |||||||||
| MAT3612* | Mechanics | 4 ECTS | |||||||||
| MAT3771* | Numerical Methods for Machine Learning | 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 (or TWO for those taking 40 ECTS credits in Mathematics) is/are 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-UnitCompulsory Units (All students must register for this/these unit/s) | |||||||||||
| MAT3999 | Project in Mathematics | 15 ECTS | (NC) | ||||||||
| Elective Stream A - Applied MathematicsCompulsory 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 MathematicsElective 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 | |||||||||
| MAT3411 | Combinatorics | 5 ECTS | |||||||||
| MAT3613* | Classical Mechanics | 5 ECTS | |||||||||
| MAT3755* | Advanced Mathematical Modelling in Biology | 5 ECTS | |||||||||
| Elective Stream B - Graph Theory and CombinatoricsCompulsory 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 | |||||||||
| MAT3411 | Combinatorics | 5 ECTS | |||||||||
| Elective Stream B - Graph Theory and CombinatoricsElective 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 Modelling in Biology | 5 ECTS | |||||||||
| MAT3772 | Numerical Methods for Differential Equations | 5 ECTS | |||||||||
| Elective Stream C - Mathematical AnalysisCompulsory 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 AnalysisElective 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 | |||||||||
| MAT3411* | Combinatorics | 5 ECTS | |||||||||
| MAT3513 | Tensors and Relativity | 5 ECTS | |||||||||
| MAT3613 | Classical Mechanics | 5 ECTS | |||||||||
| MAT3755 | Advanced Mathematical Modelling in Biology | 5 ECTS | |||||||||
| MAT3772* | Numerical Methods for Differential Equations | 5 ECTS | |||||||||
| Elective Stream D - BiomathematicsCompulsory Units (All students must register for this/these unit/s) | |||||||||||
| MAT3211 | Functional Analysis: Hilbert Spaces | 5 ECTS | |||||||||
| MAT3755 | Advanced Mathematical Modelling in Biology | 5 ECTS | |||||||||
| MAT3772 | Numerical Methods for Differential Equations | 5 ECTS | |||||||||
| Elective Stream D - BiomathematicsElective 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 | |||||||||
| MAT3411* | Combinatorics | 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 MathematicsCompulsory Unit (All students must register for this/these unit/s) | |||||||||||
| MAT3712 | Partial Differential Equations and Calculus of Variations | 5 ECTS | |||||||||
| Elective Stream B - Graph Theory and CombinatoricsElective Unit (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 AnalysisElective Unit (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 D - BiomathematicsCompulsory Unit (All students must register for this/these unit/s) | |||||||||||
| MAT3712 | Partial Differential Equations and Calculus of Variations | 5 ECTS | |||||||||
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 | |||||||||
| PHY2211 | Analytical Methods for Physicists | 6 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) | |||||||||||
| PHY2140 | Quantum Mechanics | 6 ECTS | |||||||||
| PHY3110 | Physical Optics | 4 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) | |||||||||||
| PHY3111 | Advanced Experimental Physics | 6 ECTS | (NC) | ||||||||
| PHY3145 | Statistical Mechanics | 5 ECTS | |||||||||
| PHY3228 | Foundations of Physical 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.