### University of Malta

### Faculty of Science

### Mathematics (Joint Area)

### (for courses commencing October 2020)

__YEAR ONE__

**In addition to the compulsory study-units, students must register for 4 ECTS credits from the electives offered during the year.**

Students**NOT** taking Statistics and Operations Research as a principal subject must take study-unit 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 and time-table constraints.

__Semester 1__

__Compulsory Units__ (All students **must** register for this/these unit/s)

__Elective Units__ Elective units are offered subject to availability and time-table constraints.

__Semester 2__

__Compulsory Units__ (All students **must** register for this/these unit/s)

__Elective Unit__ Elective units are offered subject to availability and time-table constraints.

__YEAR TWO__

**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)

__Elective Units__ (Elective units are offered subject to availability and time-table constraints.)

__Semester 2__

__Compulsory Units__ (All students **must** register for this/these unit/s)

__Elective Units__ (Elective units are offered subject to availability and time-table constraints.)

__YEAR THREE__

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 Mathematics

This stream contains**SEVEN** compulsory study-units and **THREE** 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 **FOUR** elective study-units from which **TWO** are to be chosen.

**Elective Stream C - Mathematical Analysis**

This stream contains**SEVEN** compulsory study-units and **TWO** elective study-units from which **ONE** is to be chosen.

**Elective Stream D - Biomathematics**

This stream contains**SEVEN** compulsory study-units and **FOUR** elective study-units from which **ONE** is to be chosen.

__Semester 1__

**Elective Stream A - Applied Mathematics**

__Compulsory Units__

__Elective Units__ Elective units are offered subject to availability and time-table constraints.

**Elective Stream B - Graph Theory and Combinatorics**

__Compulsory Units__

__Elective Units__ Elective units are offered subject to availability and time-table constraints.

**Elective Stream C - Mathematical Analysis**

__Compulsory Units__

__Elective Units__ Elective units are offered subject to availability and time-table constraints.

**Elective Stream D - Biomathematics**

__Compulsory Units__

__Elective Units__ Elective units are offered subject to availability and time-table constraints.

__Semester 2__

**Elective Stream A - Applied Mathematics**

__Compulsory Units__

__Elective Units__ Elective units are offered subject to availability and time-table constraints.

**Elective Stream B - Graph Theory and Combinatorics**

__Compulsory Units__

__Elective Units__ Elective units are offered subject to availability and time-table constraints.

**Elective Stream C - Mathematical Analysis**

__Compulsory Units__

**Elective Stream D - Biomathematics**

__Compulsory Units__

__Elective Units__ Elective units are offered subject to availability and time-table constraints.

__YEAR FOUR__

**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 **FIVE** 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 **FOUR** elective study-units from which **ONE** (only for those taking 40 ECTS credits in Mathematics) is to be chosen.

**Elective Stream C - Mathematical Analysisb:**

This stream contains**FOUR** compulsory study-units and **FOUR** 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 **SIX** 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__

**Elective Stream A - Applied Mathematics**

__Compulsory Units__

__Elective Units__

**Elective Stream B - Graph Theory and Combinatorics**

__Compulsory Units__

__Elective Units__

**Elective Stream C - Mathematical Analysis**

__Compulsory Units__

__Elective Units__

**Elective Stream D - Biomathematics**

__Compulsory Units__

__Elective Units__

*MAT3513 cannot be taken with PHY3170 in the programme of study. In elective Stream A MAT3513 must be replaced by MAT3613.

__Semester 2__

**Elective Stream A - Applied Mathematics**

__Compulsory Units__

**Elective Stream B - Graph Theory and Combinatorics**

__Elective Units__

**Elective Stream C - Mathematical Analysis**

__Elective Units__

**Elective Stream D - Biomathematics**

__Compulsory Units__

**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.**

Students

Students taking Statistics and Operations Research as a principal subject must choose the following elective study-units:

SOR1110 | Probability | 4 ECTS |

MAT1091 | Mathematical Methods | 4 ECTS | |

MAT1100 | Introductory Mathematics | 4 ECTS | |

MAT1511 | Analytical Geometry | 4 ECTS |

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.

MAT1211 | Analysis 1 | 4 ECTS | |

MAT1411 | Discrete Methods | 4 ECTS | |

MAT1115 | Introduction to Groups | 4 ECTS | |

MAT1116 | Introduction to Vector Spaces | 2 ECTS |

PHY1030 | Basic Concepts in Physics 2 | 2 ECTS |

MAT2112 | Linear Algebra 1 | 4 ECTS | |

MAT2212 | Analysis 2 | 4 ECTS | |

MAT2512 | Vector Analysis 1 | 4 ECTS |

MAT2912 | Computational Mathematics | 2 ECTS |

MAT2113 | Rings | 4 ECTS | |

MAT2213 | Analysis 3 | 4 ECTS | |

MAT2413 | Introduction to Graph Theory with Applications | 4 ECTS | |

MAT2513 | Vector Analysis 2 | 4 ECTS |

MAT2005 | Introduction to Mathematical Logic | 2 ECTS |

Elective Stream A - Applied Mathematics

This stream contains

This stream contains

This stream contains

This stream contains

MAT3114 | Linear Algebra 2 | 2 ECTS | |

MAT3214 | Complex Analysis | 4 ECTS | |

MAT3215 | Metric Spaces | 4 ECTS | |

MAT3711 | Differential Equations | 4 ECTS |

MAT3115 | Groups | 4 ECTS |

MAT3114 | Linear Algebra 2 | 2 ECTS | |

MAT3115 | Groups | 4 ECTS | |

MAT3214 | Complex Analysis | 4 ECTS | |

MAT3215 | Metric Spaces | 4 ECTS | |

MAT3415 | Probabilistic and Extremal Combinatorics | 4 ECTS |

MAT3711 | Differential Equations | 4 ECTS |

MAT3114 | Linear Algebra 2 | 2 ECTS | |

MAT3214 | Complex Analysis | 4 ECTS | |

MAT3215 | Metric Spaces | 4 ECTS |

MAT3115 | Groups | 4 ECTS | |

MAT3711 | Differential Equations | 4 ECTS |

MAT3114 | Linear Algebra 2 | 2 ECTS | |

MAT3214 | Complex Analysis | 4 ECTS | |

MAT3215 | Metric Spaces | 4 ECTS | |

MAT3711 | Differential Equations | 4 ECTS |

MAT3115 | Groups | 4 ECTS | |

MAT3415 | Probabilistic and Extremal Combinatorics | 4 ECTS |

MAT3221 | Analysis 4 | 4 ECTS | |

MAT3612 | Mechanics | 4 ECTS | |

MAT3715 | Methods of Applied Mathematics | 4 ECTS |

MAT3217 | Lebesgue Integration | 4 ECTS | |

MAT3750 | Essential Mathematical Biology | 4 ECTS |

MAT3425 | Topics in Topological and Algebraic Graph Theory | 4 ECTS |

MAT3221 | Analysis 4 | 4 ECTS | |

MAT3217 | Lebesgue Integration | 4 ECTS | |

MAT3750 | Essential Mathematical Biology | 4 ECTS |

MAT3000 | Introductory Set Theory | 4 ECTS | |

MAT3221 | Analysis 4 | 4 ECTS | |

MAT3217 | Lebesgue Integration | 4 ECTS | |

MAT3225 | Geometry of the Plane | 4 ECTS |

MAT3221 | Analysis 4 | 4 ECTS | |

MAT3715 | Methods of Applied Mathematics | 4 ECTS | |

MAT3750 | Essential Mathematical Biology | 4 ECTS |

MAT3217 | Lebesgue Integration | 4 ECTS | |

MAT3612 | Mechanics | 4 ECTS |

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:

This stream contains

This stream contains

This stream contains

This stream contains

MAT3999 | Project in Mathematics | 15 ECTS |

MAT3211 | Functional Analysis: Hilbert Spaces | 5 ECTS | |

MAT3513* | Tensors and Relativity | 5 ECTS | |

MAT3713 | The Finite Element Method | 5 ECTS |

MAT3116 | Group Representations | 5 ECTS | |

MAT3210 | Functional Analysis: Normed Spaces | 5 ECTS | |

MAT3219 | Topological Spaces | 5 ECTS | |

MAT3613 | Classical Mechanics | 5 ECTS | |

MAT3755 | Advanced Mathematical Modeling in Biology | 5 ECTS |

MAT3116 | Group Representations | 5 ECTS | |

MAT3211 | Functional Analysis: Hilbert Spaces | 5 ECTS | |

MAT3410 | Graph Theory | 5 ECTS | |

MAT3411 | Combinatorics | 5 ECTS |

MAT3210 | Functional Analysis: Normed Spaces | 5 ECTS | |

MAT3219 | Topological Spaces | 5 ECTS | |

MAT3226 | Geometry of Euclidean Spaces | 5 ECTS |

MAT3210 | Functional Analysis: Normed Spaces | 5 ECTS | |

MAT3211 | Functional Analysis: Hilbert Spaces | 5 ECTS | |

MAT3219 | Topological Spaces | 5 ECTS | |

MAT3226 | Geometry of Euclidean Spaces | 5 ECTS |

MAT3116 | Group Representations | 5 ECTS | |

MAT3411 | Combinatorics | 5 ECTS | |

MAT3713 | The Finite Element Method | 5 ECTS |

MAT3211 | Functional Analysis: Hilbert Spaces | 5 ECTS | |

MAT3713 | The Finite Element Method | 5 ECTS | |

MAT3755 | Advanced Mathematical Modeling in Biology | 5 ECTS |

MAT3210 | Functional Analysis: Normed Spaces | 5 ECTS | |

MAT3410 | Graph Theory | 5 ECTS | |

MAT3411 | Combinatorics | 5 ECTS | |

MAT3219 | Topological Spaces | 5 ECTS | |

MAT3513* | Tensors and Relativity | 5 ECTS | |

MAT3613 | Classical Mechanics | 5 ECTS |

*MAT3513 cannot be taken with PHY3170 in the programme of study. In elective Stream A MAT3513 must be replaced by MAT3613.

MAT3712 | Partial Differential Equations and Calculus of Variations | 5 ECTS |

MAT3712 | Partial Differential Equations and Calculus of Variations | 5 ECTS |

MAT3712 | Partial Differential Equations and Calculus of Variations | 5 ECTS |

MAT3712 | Partial Differential Equations and Calculus of Variations | 5 ECTS |

Last Updated: 10 July 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. |

https://www.um.edu.mt/course/programme