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)
| 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)
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 MathematicsThis 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 AnalysisThis stream contains
SEVEN compulsory study-units and
TWO elective study-units from which
ONE is to be chosen.
Elective Stream D - BiomathematicsThis stream contains
SEVEN compulsory study-units and
FOUR elective study-units from which
ONE is to be chosen.
Semester 1
Elective Stream A - Applied MathematicsCompulsory Units
Elective Units Elective units are offered subject to availability and time-table constraints.
Elective Stream B - Graph Theory and CombinatoricsCompulsory Units
Elective Units Elective units are offered subject to availability and time-table constraints.
| MAT3711 |
Differential Equations |
4 ECTS |
|
Elective Stream C - Mathematical AnalysisCompulsory Units
Elective Units Elective units are offered subject to availability and time-table constraints.
Elective Stream D - BiomathematicsCompulsory Units
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 MathematicsCompulsory Units
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 CombinatoricsCompulsory 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 AnalysisCompulsory Units
Elective Stream D - BiomathematicsCompulsory 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.
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-UnitCompulsory Units
| MAT3999 |
Project in Mathematics |
15 ECTS |
|
Elective Stream A - Applied MathematicsCompulsory 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 CombinatoricsCompulsory 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 AnalysisCompulsory 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 - BiomathematicsCompulsory 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 MathematicsCompulsory Units
| MAT3712 |
Partial Differential Equations and Calculus of Variations |
5 ECTS |
|
Elective Stream B - Graph Theory and CombinatoricsElective Units
| MAT3712 |
Partial Differential Equations and Calculus of Variations |
5 ECTS |
|
Elective Stream C - Mathematical AnalysisElective Units
| MAT3712 |
Partial Differential Equations and Calculus of Variations |
5 ECTS |
|
Elective Stream D - BiomathematicsCompulsory 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.
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Last Updated: 10 July 2020
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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.
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