MSc Applied Mathematics and Modelling – SC500
1.
Objectives
There is a remarkable range and variety of applications of Mathematics in business, industry and
government. The purpose of the MSc programme in Applied Mathematics and Modelling is to
bridge the gap between University and Industry by presenting mathematical models relevant for
industry. The programme also offers training in the mathematical ideas and tools needed in the
finance industry.
The programme of study includes a practical blend of Mathematics, Computing and the Modelling
of Systems.
2.
General Entry Requirements
At least a Second Class Honours Degree from a recognised University, GPA not less than 2.50, or
alternative qualifications acceptable to the University of Mauritius.
3.
Programme Requirements
Students must hold at least a Second Class BSc (Hons) Degree in Mathematics, Engineering or other
qualifications (academic or professional) acceptable to the University of Mauritius.
4.
Programme Duration
The Programme will be offered on a part-time basis. The duration of the Postgraduate Programme
should normally not exceed 4 years (8 semesters) and in any case (under Flexible Learning
Programme) not exceed 7 years (14 semesters).
Master’s Degree:
Postgraduate Diploma:
5.
Normal
4 Semesters
4 Semesters
Maximum
8 Semesters
8 Semesters
Credits per Semester
Minimum 3 Credits (subject to regulation 4)
6.
Minimum Credits Required for Awards
Master’s Degree:
36
Postgraduate Diploma: 24
Breakdown as follows:
(i)
Master’s Degree
Core modules:
+ Project:
+ 3 Electives:
(ii)
18 credits
9 credits
9 credits
Postgraduate Diploma
Core modules:
+ 3 Electives:
15 credits
9 credits
1
7.
Assessment
All modules carry equal weighting.
Each module will carry 100 marks and will be assessed as follows (unless otherwise specified):
Assessment will be based on a written examination of 3-hour duration and continuous assessment
carrying a range of 10% to 30% of total marks except for a Programme where the structure makes
for other specific provision(s). Continuous assessment may be based on laboratory work, and/or
assignments and should include at least 1 class test.
A minimum of at least 40% should be attained in each of Continuous Assessment and Written
Examination, with an overall total of 40% for a candidate to pass a module.
8.
Plan of Study
Students are required to submit at the end of Semester 1 a Plan of Study for their whole Programme
of Studies, indicating the list of elective modules and in which semester each of them will be taken.
The University reserves the right not to offer a given elective module if the critical number of
students is not attained and/or for reasons of resource constraints.
9.
Important Note
The rules as stipulated in this Programme Structure and Outline Syllabus will replace all other rules
and regulations found in previous Programme Structures.
10.
List of Modules
Code
Module Name
Hrs/Wk
L+P
Credits
3+0
3+0
3+0
3+0
3+0
3+0
3
3
3
3
3
3
-
9
3+0
3+0
3+0
3+0
3+0
3+0
3+0
3+0
3
3
3
3
3
3
3
3
CORE
MATH 5001(1)
MATH 5002(1)
MATH 5003(1)
MATH 5004(1)
MATH 5005(1)
MATH 5006(1)
Numerical Methods
Modern Applied Statistics
Stochastic Processes
Operational Research
Mathematical Modelling I
Mathematical Finance I
PROJECT
MATH 5000(1)
Project
ELECTIVES
MATH 5011(1)
MATH 5012(1)
MATH 5013(1)
MATH 5014(1)
MATH 5015(1)
MATH 5016(1)
MATH 5017(1)
MATH 5018(1)
Optimisation and Control
Advanced Operational Research
Multivariate Statistical Modelling
Applied Time Series and Forecasting
Simulation
Mathematical Modelling II
Industrial Statistics
Mathematical Finance II
2
11.
Programme Plan – MSc Applied Mathematics and Modelling
Semester 1
Code
Module Name
Hrs/Wk
L+P
YEAR 1
Semester 2
Credits
Code
Module Name
Hrs/Wk
L+P
Credits
3+0
3+0
3+0
3
3
3
Hrs/Wk
L+P
-
Credits
3+0
3
CORE
MATH 5001(1)
MATH 5002(1)
MATH 5003(1)
Numerical Methods
Modern Applied Statistics
Stochastic Processes
Semester 1
Code
Module Name
MATH 5000(1)
Project
ELECTIVES
CHOOSE 2 FROM THE
ELECTIVES ON OFFER
Elective 1
Elective 2
12.
3+0
3+0
3+0
Hrs/Wk
L+P
-
3
3
3
MATH 5004(1)
MATH 5005(1)
MATH 5006(1)
YEAR 2
Semester 2
Credits
Code
3+0
3+0
-
Operational Research
Mathematical Modelling I
Mathematical Finance I
Module Name
MATH 5000(1)
Project
ELECTIVES
CHOOSE ONE FROM
THE ELECTIVES ON
OFFER
Elective 3
3
3
9
Outline Syllabus
MATH 5000(1) - PROJECT
MATH 5001(1) - NUMERICAL METHODS
Matrix algorithms, QR decomposition, applications to statistical computing. Numerical solution of
differential equations.
MATH 5002(1) - MODERN APPLIED STATISTICS
Linear regression, Analysis of Variance, Forecasting using regression models, Trend forecasting and
exponential smoothing methods.
MATH 5003(1) - STOCHASTIC PROCESSES
Random variables, Discrete and Continuous Markov Chains, Applications.
MATH 5004(1) - OPERATIONAL RESEARCH
Optimisation, Inventory, Sequencing and Scheduling, Network Algorithms.
MATH 5005(1) - MATHEMATICAL MODELLING I
Integrability, Dynamical Systems with one variable, General Equilibrium, Diffusions, Ito’s Formula, BlackScholes Formula, Simulating random Processes.
MATH 5006(1) - MATHEMATICAL FINANCE I
Deterministic finance, cash flow analysis, single-period uncertainty finance, portfolios of stocks and pricing
theory.
MATH 5011(1) - OPTIMISATION AND CONTROL
Non Linear Programming, Conjugate Gradients. Applications to Control.
MATH 5012(1) - ADVANCED OPERATIONAL RESEARCH
Game Theory and Applications, Network Optimisation models, Stochastic Network Models.
MATH 5013(1) - MULTIVARIATE STATISTICAL MODELLING
Multivariate Normal distribution, Applied multivariate techniques with applications.
MATH 5014(1) - APPLIED TIME SERIES AND FORECASTING
Box-Jenkins models, GARCH processes, multivariate time series. Applications to Financial and Economic
Time Series.
3
MATH 5015(1) - SIMULATION
Generation of uniform and non-uniform random numbers, Discrete event simulations, Simulation design,
Statistical analysis of simulation outputs.
MATH 5016(1) - MATHEMATICAL MODELLING II
Industrial Mathematical Models, Cellular Automata, Neural Networks.
MATH 5017(1) - INDUSTRIAL STATISTICS
Generalised linear models, Statistical Quality control, Reliability.
MATH 5018(1) - MATHEMATICAL FINANCE II
Brownian motion and stochastic Calculus. Stochastic models of financial markets, pricing and hedging
contingent claims.
4