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, who do NOT have Applied Mathematics at Intermediate Level must take study-unit MAT1611. Students taking Statistics and Operations Research as one of the main subjects and have Intermediate Applied Mathematics and Physics at Advanced Level must choose MAT1611.Other students must register for 4 ECTS credits from the electives offered during the year; either study-unit MAT1611, 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) | |||||||||||
| 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 | |||||||||
| 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 | |||||||||
* Study-unit SOR1110 is to be taken only by students NOT taking Statistics and Operations Research as one of the main subjects. ** Study-unit MAT1611 must be chosen by those students taking Statistics and Operations Research as one of the main subjects and who do NOT have Applied Mathematics at Intermeidate Level. *** Student who have obtained Physics and 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 streams as indicated below.
The elective streams are:
Stream A – Physical Applied MathematicsThis stream contains SEVEN compulsory study-units and SEVEN elective study-units from which ONE is to be chosen.
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.
Stream C - Mathematical AnalysisThis stream contains SIX compulsory study-units and EIGHT elective study-units from which TWO are to be chosen.
Stream D - Computational BiomathematicsThis stream contains SEVEN compulsory study-units and SEVEN elective study-units from which ONE is to be chosen.
| Semester 1 | |||||||||||
| Stream A - Physical 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 Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints) | |||||||||||
| MAT3115* | Groups | 4 ECTS | |||||||||
| 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 Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints) | |||||||||||
| MAT3711 | Differential Equations | 4 ECTS | |||||||||
| 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 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 | |||||||||
| Stream D - Computational 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 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 | |||||||||||
| Stream A - Physical 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 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 | |||||||||
| 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 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 | |||||||||
| 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 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 | |||||||||
| Stream D - Computational BiomathematicsCompulsory Units (All students must register for this/these unit/s) | |||||||||||
| MAT3715 | Methods of Applied Mathematics | 4 ECTS | |||||||||
| MAT3750 | Essential Mathematical Biology | 4 ECTS | |||||||||
| MAT3771 | Numerical Methods for Machine Learning | 4 ECTS | |||||||||
| 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 | |||||||||
| MAT3221* | Analysis 4 | 4 ECTS | |||||||||
| MAT3415 | Probabilistic and Extremal Combinatorics | 4 ECTS | |||||||||
| MAT3425 | Topics in Topological and Algebraic Graph Theory | 4 ECTS | |||||||||
| MAT3612 | Mechanics | 4 ECTS | |||||||||
| * It is strongly recommended that students select this/these study-unit/s from the list of elective study-units of each stream. | |||||||||||
Students taking 40 ECTS credits in Mathematics must take MAT3900 and FOUR study-units of 5 ECTS credits each. The students must continue with the 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 Stream they chose in the third year.
The streams are:
Stream A - Physical Applied Mathematics:This stream contains FOUR compulsory study-units.
Stream B - Graph Theory and Combinatorics:This stream contains FOUR compulsory study-units.
Stream C - Mathematical Analysis:This stream contains FOUR compulsory study-units.
Stream D – Computational Biomathematics:This stream contains FOUR compulsory study-units.
| 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) | |||||||||||
| MAT3900 | Project in Mathematics | 20 ECTS | (NC) | ||||||||
| Stream A - Physical 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 | |||||||||
| MAT3717 | Partial Differencial Equations & Fourier Analysis | 5 ECTS | |||||||||
| 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 | |||||||||
| 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 | |||||||||
| MAT3219 | Topological Spaces | 5 ECTS | |||||||||
| MAT3717 | Partial Differencial Equations & Fourier Analysis | 5 ECTS | |||||||||
| Stream D - Computational BiomathematicsCompulsory Units (All students must register for this/these unit/s) | |||||||||||
| MAT3211 | Functional Analysis: Hilbert Spaces | 5 ECTS | |||||||||
| MAT3717 | Partial Differencial Equations & Fourier Analysis | 5 ECTS | |||||||||
| MAT3755 | Advanced Mathematical Modelling in Biology | 5 ECTS | |||||||||
| MAT3772 | Numerical Methods for Differential Equations | 5 ECTS | |||||||||
| Semester 2 | |||||||||||
| Stream A - Physical Applied MathematicsCompulsory Unit (All students must register for this/these unit/s) | |||||||||||
| MAT3716 | Calculus of Variations and Lagrangian Mechanics | 5 ECTS | |||||||||
Statistics and Operations Research
In addition to the compulsory study-units, students who have Mathematics, Computing Science, Biology, Chemistry, Physics as their other area of study are required to choose study-units to the value of 2 ECTS credits from the elective study-units on offer during the year. No elective study-units in the Statistics and Operations Research area are to be taken by students choosing Banking and Finance as their other area of study.
| 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) | |||||||||||
| MAT1212* | Introductory Analysis | 6 ECTS | |||||||||
| SOR1110 | Probability | 4 ECTS | (NC) | ||||||||
| SOR1222 | Statistical Computing | 8 ECTS | (NC) | ||||||||
| SOR1310 | Optimization | 4 ECTS | (NC) | ||||||||
| SOR1320 | Linear Programming | 4 ECTS | (NC) | ||||||||
| SOR1450** | Principles of Financial Mathematics and Life Policies | 4 ECTS | |||||||||
| Semester 1 | |||||||||||
| Compulsory Units (All students must register for this/these unit/s) | |||||||||||
| SOR1250*** | Official Statistics and Demography | 4 ECTS | |||||||||
| Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints) | |||||||||||
| CIS1044 | SQL for Statisticians | 2 ECTS | |||||||||
| ELP1062 | English Proficiency | 2 ECTS | |||||||||
| Semester 2 | |||||||||||
| Compulsory Units (All students must register for this/these unit/s) | |||||||||||
| MAT1116**** | Introduction to Vector Spaces | 2 ECTS | |||||||||
* MAT1212 is for students not taking Mathematics as the other area.
** SOR1450 is for students taking Mathematics or Banking and Finance as the other area.
*** SOR1250 is for students taking Mathematics as the other area.
*** MAT1116 is for students not taking Mathematics or Banking and Finance as the other area.
| 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) | |||||||||||
| SOR2120 | Convergence and Limits in Probability | 4 ECTS | (NC) | ||||||||
| SOR2211 | Families of Random Variables and Random Vectors | 6 ECTS | (NC) | ||||||||
| SOR2221 | Statistical Inference 1 | 6 ECTS | (NC) | ||||||||
| SOR2230 | Time Series 1 | 4 ECTS | |||||||||
| SOR2250 | Sampling 1 | 4 ECTS | |||||||||
| SOR2330 | Nonlinear Programming | 4 ECTS | (NC) | ||||||||
| Semester 1 | |||||||||||
| Compulsory Units (All students must register for this/these unit/s) | |||||||||||
| SOR2110 | History and Philosophy of Probability and Statistics | 2 ECTS | |||||||||
In addition to the compulsory study-units, students are required to choose study-units to the value of 4 ECTS credits from the elective study-units on offer during the year.
| 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) | |||||||||||
| SOR3110 | Stochastic Processes 1 | 5 ECTS | (NC) | ||||||||
| SOR3210 | Multivariate Analysis 1 | 5 ECTS | (NC) | ||||||||
| SOR3221 | Regression Models | 4 ECTS | (NC) | ||||||||
| SOR3243 | Bayesian Statistics | 4 ECTS | |||||||||
| SOR3350 | Combinatorial Optimization | 4 ECTS | |||||||||
| SOR3500 | Computational Methods in Statistics and Operations Research | 4 ECTS | |||||||||
| Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints) | |||||||||||
| SOR3411 | Risk Modelling in Insurance and Finance | 4 ECTS | |||||||||
| SOR3430 | The Mathematics of Financial Markets: Discrete Models | 4 ECTS | |||||||||
| Semester 1 | |||||||||||
| Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints) | |||||||||||
| CIS1044 | SQL for Statisticians | 2 ECTS | |||||||||
| SOR3242 | Robust Statistics | 2 ECTS | |||||||||
| SOR3250* | Design of Experiments | 2 ECTS | |||||||||
| * Study-unit SOR3250 cannot be taken by Biology and Statistics and Operations Research students. | |||||||||||
If Statistics and Operations Research is chosen as the main area of study:Students are required to register for 22 ECTS credits from the list of Electives and 18 ECTS credits assigned to a project study-unit to a total of 40 ECTS credits.If Statistics and Operations Research is chosen as the other area of study:Students are required to register for 20 ECTS credits from the list of Electives.
| Year (This/these unit/s start/s in Semester 1 and continue/s in Semester 2) | |||||||||||
| Compulsory UnitEither | |||||||||||
| SOR3101 | Project in Statistics and Operations Research: Probability | 18 ECTS | (NC) | ||||||||
| Or | |||||||||||
| SOR3201 | Project in Statistics and Operations Research: Statistics | 18 ECTS | (NC) | ||||||||
| Or | |||||||||||
| SOR3301 | Project in Statistics and Operations Research: Operations Research | 18 ECTS | (NC) | ||||||||
| Or | |||||||||||
| SOR3401 | Project in Statistics and Operations Research: Financial and Actuarial Mathematics | 18 ECTS | (NC) | ||||||||
| Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints) | |||||||||||
| SOR3121 | Stochastic Processes 2 | 6 ECTS | |||||||||
| SOR3211 | Generalized Linear Models | 4 ECTS | |||||||||
| SOR3212 | Foundations of Statistical Learning Methods | 4 ECTS | |||||||||
| SOR3222 | Nonlinear and Nonparametric Regression Analysis | 4 ECTS | |||||||||
| SOR3231 | Time Series 2 | 4 ECTS | |||||||||
| SOR3311 | Stochastic Programming | 6 ECTS | |||||||||
| SOR3351 | Dynamic Programming and Optimal Control | 4 ECTS | |||||||||
| SOR3411 | Risk Modelling in Insurance and Finance | 4 ECTS | |||||||||
| SOR3430 | The Mathematics of Financial Markets: Discrete Models | 4 ECTS | |||||||||
| Semester 1 | |||||||||||
| Elective Units (Elective units are offered subject to availability, a minimum number of student registrations and time-table constraints) | |||||||||||
| SOR3241 | Survival Analysis | 4 ECTS | |||||||||
| SOR3242 | Robust Statistics | 2 ECTS | |||||||||
| SOR3250* | Design of Experiments | 2 ECTS | |||||||||
| * Study-unit SOR3250 cannot be taken by students taking Biology and Statistics and Operations Research. | |||||||||||
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.