Programme Description

Programme Description



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.

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 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)

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

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

PHY1030 Basic Concepts in Physics 2 2 ECTS




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)

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

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

MAT2912 Computational Mathematics 2 ECTS




Semester 2

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

MAT2113 Rings 4 ECTS
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 and time-table constraints.)

MAT2005 Introduction to Mathematical Logic 2 ECTS




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

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 and time-table constraints.

MAT3115 Groups 4 ECTS

Elective Stream B - Graph Theory and Combinatorics

Compulsory Units

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

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

MAT3711 Differential Equations 4 ECTS

Elective Stream C - Mathematical Analysis

Compulsory Units

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 and time-table constraints.

MAT3115 Groups 4 ECTS
MAT3711 Differential Equations 4 ECTS

Elective Stream D - Biomathematics

Compulsory Units

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 and time-table constraints.

MAT3115 Groups 4 ECTS
MAT3415 Probabilistic and Extremal Combinatorics 4 ECTS




Semester 2

Elective Stream A - Applied Mathematics

Compulsory Units

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 and time-table constraints.

MAT3217 Lebesgue Integration 4 ECTS
MAT3750 Essential Mathematical Biology 4 ECTS

Elective Stream B - Graph Theory and Combinatorics

Compulsory Units

MAT3425 Topics in Topological and Algebraic Graph Theory 4 ECTS

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

MAT3221 Analysis 4 4 ECTS
MAT3217 Lebesgue Integration 4 ECTS
MAT3750 Essential Mathematical Biology 4 ECTS

Elective Stream C - Mathematical Analysis

Compulsory Units

MAT3000 Introductory Set Theory 4 ECTS
MAT3221 Analysis 4 4 ECTS
MAT3217 Lebesgue Integration 4 ECTS
MAT3225 Geometry of the Plane 4 ECTS

Elective Stream D - Biomathematics

Compulsory Units

MAT3221 Analysis 4 4 ECTS
MAT3715 Methods of Applied Mathematics 4 ECTS
MAT3750 Essential Mathematical Biology 4 ECTS

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

MAT3217 Lebesgue Integration 4 ECTS
MAT3612 Mechanics 4 ECTS




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

MAT3999 Project in Mathematics 15 ECTS

Elective Stream A - Applied Mathematics
Compulsory Units

MAT3211 Functional Analysis: Hilbert Spaces 5 ECTS
MAT3513* Tensors and Relativity 5 ECTS
MAT3713 The Finite Element Method 5 ECTS

Elective Units

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

Elective Stream B - Graph Theory and Combinatorics
Compulsory Units

MAT3116 Group Representations 5 ECTS
MAT3211 Functional Analysis: Hilbert Spaces 5 ECTS
MAT3410 Graph Theory 5 ECTS
MAT3411 Combinatorics 5 ECTS

Elective Units

MAT3210 Functional Analysis: Normed Spaces 5 ECTS
MAT3219 Topological Spaces 5 ECTS
MAT3226 Geometry of Euclidean Spaces 5 ECTS

Elective Stream C - Mathematical Analysis
Compulsory Units

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

Elective Units

MAT3116 Group Representations 5 ECTS
MAT3411 Combinatorics 5 ECTS
MAT3713 The Finite Element Method 5 ECTS

Elective Stream D - Biomathematics
Compulsory Units

MAT3211 Functional Analysis: Hilbert Spaces 5 ECTS
MAT3713 The Finite Element Method 5 ECTS
MAT3755 Advanced Mathematical Modeling in Biology 5 ECTS

Elective Units

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.


Semester 2

Elective Stream A - Applied Mathematics
Compulsory Units

MAT3712 Partial Differential Equations and Calculus of Variations 5 ECTS

Elective Stream B - Graph Theory and Combinatorics
Elective Units

MAT3712 Partial Differential Equations and Calculus of Variations 5 ECTS

Elective Stream C - Mathematical Analysis
Elective Units

MAT3712 Partial Differential Equations and Calculus of Variations 5 ECTS

Elective Stream D - Biomathematics
Compulsory Units

MAT3712 Partial Differential Equations and Calculus of Variations 5 ECTS




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.
 
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