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MAUB10 & MAUM10
LOUGHBOROUGH UNIVERSITY
REGULATIONS FOR THE HONOURS DEGREE PROGRAMMES IN
MATHEMATICS
(for students entering in October 2009 and thereafter )
These Programme Regulations refer to the conduct of the programme in the session
2011/2012 and should be read in conjunction with Regulation XX and the relevant
Module Specifications. These Programme Regulations may be subject to change from
time to time. Notice of change will be given by the School responsible for the
programme.
1.
Structure
1.1
Administrative responsibility for the programmes rests with the Department of
Mathematical Sciences.
1.2
The programmes lead to the Degree of B.Sc. or M.Math.
1.3
The duration of the BSc programme is (a) 6 semesters full-time (b) 8 semesters fulltime or (c) an 8 semester sandwich programme. Students on the 8 semester fulltime and sandwich programmes are required to spend the year following Part B
either (b) on an approved course of study at a European or overseas University or
(c) undertaking professional training respectively leading to the award of the Diploma
in International Studies (DIntS) or the Diploma in Professional Studies (DPS),
respectively, in accordance with Regulation XI.
The duration of the MMath programme is (a) 8 semesters full-time (b) 10 semesters
full-time or (c) a 10 semester sandwich programme. Students on the 10 semester
full-time and sandwich programme are required to spend the year following either
Part B or Part C either (b) on an approved course of study at a European or
overseas University or (c) undertaking professional training leading to the award of
the Diploma in International Studies (DIntS) or the Diploma in Professional Studies
(DPS), respectively, in accordance with Regulation XI.
1.4
Optionally, for three-year BSc candidates, the first semester of Part C may consist of
study in North America or on an approved course of study at a European University.
This option may be exercised only subject to the consent of the Head of Department.
2.
Content
2.1
Part A - Introductory Modules
2.1.1
Semesters 1 & 2
(i)
COMPULSORY MODULES (total modular weight 40)
Code
MAA340
MAA342
Title
Calculus
Linear Algebra
Modular Weight
20
20
2.1.2
Semester 1
(i)
COMPULSORY MODULES (total modular weight 40)
Code
MAA141
Title
Geometry, Vectors & Complex Numbers
*
Modular Weight
10
ii
MAA145
MAA155
MAA160
MAUB10 & MAUM10
Mathematical Thinking
Introduction to Applied Mathematics
Computer Applications in Mathematics
2.1.3
Semester 2
(i)
COMPULSORY MODULES (total modular weight 30)
Code Title
MAA241 Sequences & Series
MAA255 Differential Equations
MAA270 Introductory Probability and Statistics
(ii)
OPTIONAL MODULES
Modular Weight
10
10
10
(total modular weight 10)
Code Title
MAA245 Numbers
Another module chosen from the University’s
Undergraduate Module Catalogue
2.2
10
10
10
Modular Weight
10
10
Part B - Degree Modules
2.2.1
Semester 1
(i)
COMPULSORY MODULES (total modular weight 30)
Code Title
MAB120 Communicating Mathematics
MAB141 Analysis
MAB150 Vector Calculus
(ii)
OPTIONAL MODULES
Modular Weight
10
10
10
(total modular weight 30)
Code Title
MAB130 An Introduction to Mathematics Education
*MAB142 Vector Spaces
MAB156 Modelling with Differential Equations
MAB160 Numerical Methods 1
MAB170 Probability Theory
Another module chosen from the University’s
Undergraduate Module Catalogue
Modular Weight
10
10
10
10
10
10
*MAB142 is compulsory for MMath candidates.
2.2.2
Semester 2
(i)
COMPULSORY MODULES (total modular weight 20)
Code Title
MAB240 Fourier Analysis & Partial Differential Equations
MAB241 Complex Variables
(ii)
OPTIONAL MODULES
Modular Weight
10
10
(total modular weight 40)
Code Title
MAB230 Understanding Mathematical Concepts
*MAB242 Abstract Algebra
*MAB250 ODEs & Calculus of Variations
MAB255 Analytical Dynamics
*
Modular Weight
10
10
10
10
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MAB260
MAB265
MAB270
MAB280
MAUB10 & MAUM10
Numerical Methods 2
Scientific Programming
Statistical Modelling
Introduction to Stochastic Processes
10
10
10
10
Another module chosen from the University’s
Undergraduate Module Catalogue
10
*MAB242 & MAB250 are compulsory for MMath candidates.
2.3
Part I
BSc candidates on the four year full-time programme must undertake an
approved course of study at a European or overseas University. BSc.
candidates on the four year sandwich programme must undertake
professional training.
MMath candidates on the five year full-time programme must undertake an
approved course of study at a European or overseas University. MMath
candidates on the five year sandwich programme must undertake
professional training. This may take place either between Part B and Part C
or between Part C and Part D.
2.4
Part C - Degree Modules (candidates not studying in North America or
at a European University)
BSc candidates must study either MAC300 BSc Mathematics Project (20
credits) in Semesters 1 and 2 or MAC200 Mathematics Report (10
credits) in Semester 2. In order to study MAC300 candidates will normally be
required to have achieved a Part B average >60%.
MMath candidates do not study MAC300 or MAC200.
2.4.1
Semesters 1 & 2
(i)
COMPULSORY MODULE (BSc candidates not taking MAC200)
Code Title
MAC300 BSc Mathematics Project
Modular Weight
20
2.4.2
Semester 1
(ii)
OPTIONAL MODULES
(BSc programmes total modular weight 50 for students studying MAC300,
BSc programmes total modular weight 60 for students studying MAC200
and MMath programme, total modular weight 60)
Code Title
MAC147 Number Theory
MAC148 Introduction to Dynamical Systems
MAC150 Inviscid Fluid Mechanics
MAC171 Statistical Methods
MAC175 Operational Research
MAC176 Graph Theory
MAC180 Discrete Stochastic Methods in Finance
MAC197 Introduction to Differential Geometry
PHC130
Fundamentals of Quantum Information
OR
Another module chosen from the University’s
*
Modular Weight
10
10
10
10
10
10
10
10
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MAUB10 & MAUM10
Undergraduate Module Catalogue
10
2.4.3 Semester 2
(i)
COMPULSORY MODULE (BSc candidates not taking MAC300)
Code Title
MAC200 Mathematics Report
(ii)
Modular Weight
10
OPTIONAL MODULES (BSc programmes, total modular weight 50,
MMath programme, total modular weight 60)
Code Title
MAC241
*MAC246
*MAC249
MAC251
MAC272
MAC297
MAC280
MAC298
DSC023
PHB230
Modular Weight
Applied Complex Analysis
Metric Spaces
Linear Differential Equations
Vibrations and Waves
Random Processes and Time Series Analysis
Mathematical Biology
Continuous Stochastic Methods in Finance
Elements of Topology
Studies in Science and Mathematics Education
(BSc candidates only)
Science of the Internet
OR
Another module chosen from the University’s
Undergraduate Module Catalogue
10
10
10
10
10
10
10
10
10
10
*MAC246 & MAC249 are compulsory for MMath candidates.
2.5
Part C - Degree Modules (candidates studying in North America or at a
European University)
Semester 1 is spent at University of Minnesota, Duluth or on an approved course
of study at European University.
2.5.1
Semester 1
(i)
OPTIONAL MODULES (total modular weight 60)
Code
5201
5220
5260
5270
5280
5330
5365
5366
5384
5810
5991
Title
Real Variables
Optimisation and Control
Dynamical Systems
Modelling with Dynamical Systems
Partial Differential Equations
Theory of Numbers
Graph Theory
Enumerative Combinatorics
Algebraic Coding Theory
Linear Programming
Independent Study
Modular Weight
15
15
15
15
15
15
15
15
15
15
15
2.5.2
Semester 2
(i)
COMPULSORY MODULE (total modular weight 10)
MAC200 Mathematics Report
10
(candidates with a Part B average > 60% may be allowed
to take MAC300 BSc Mathematics Project 20 credits instead)
*
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(ii)
OPTIONAL MODULES (total modular weight 50)
Code
MAC241
MAC246
MAC249
MAC251
MAC272
MAC297
MAC298
PHB230
2.5
Title
Applied Complex Analysis
Metric Spaces
Linear Differential Equations
Vibrations and Waves
Random Processes and Time Series Analysis
Mathematical Biology
Elements of Topology
Science of the Internet
OR
Another module chosen from the University’s
Undergraduate Module Catalogue
Modular Weight
10
10
10
10
10
10
10
10
Part D - Degree Modules
2.5.1
Semester 1 and 2
(i)
COMPULSORY MODULE
Code
MAD300
(total modular weight 30)
Title
MMath Mathematics Project
2.5.2
Semester 1
(i)
COMPULSORY MODULES (total modular weight 30)
Code
MAD102
MAP111
(ii)
Title
Regular and Chaotic Dynamics
Mathematical Modelling 1
OPTIONAL MODULES
Code
MAD103
MAP102
MAP104
MAP114
TTP210
Semester 2
(i)
OPTIONAL MODULES
MAP211
MAP213
Modular Weight
30
Modular Weight
15
15
(total modular weight 15)
Title
Modular Weight
Lie Groups and Lie Algebras
15
Programming and Numerical Methods
15
Introduction to Measure Theory and Martingales
15
Stochastic Models in Finance
15
Advanced Reliability, Availability and Maintainability
15
2.5.3
Code
MAD202
MAD203
MAP201
MAP202
MAP204
2.6
MAUB10 & MAUM10
(total modular weight 45)
Title
Nonlinear Waves
Functional Analysis
Elements of Partial Differential Equations
Static and Dynamic Optimisation
Stochastic Calculus and Theory of Stochastic
Pricing
Mathematical Modelling 2
Fluid Mechanics
Total Modular Weighting per Semester
*
Modular Weight
15
15
15
15
15
15
15
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MAUB10 & MAUM10
Students normally study modules with a total weight of 60 in each semester. In this
context, the modular weight of the project MAC300 is assumed to be split 10:10 over
the two semesters for students studying Semester 1 in Loughborough and 0:20 for
students studying Semester 1 in Duluth or on an approved course of study at a
European University. In Part D MAD300 is assumed to be split 15:15 over the two
semesters. However, in Part C, students may be allowed to study modules up to a
total weight of 70 in a semester, 120 in the Part, subject to the consent of the Head
of Department.
3.
Assessment
3.1
Criteria for Progression and Degree Award
Candidates must achieve the minimum credit requirements set out in Regulation XX
in order to progress through the programme and qualify for the award of the degree.
In order to progress from Part A to Part B, BSc candidates must, in addition, achieve
at least 40% in core Mathematics modules, MAA340 and MAA342. MMath
candidates must obtain 120 credits from modules taken in Part A and must normally
obtain an overall average mark of at least 55% in these modules.
In order to progress from Part B to Part C, MMath candidates must obtain 120
credits from modules taken in Part B and must normally obtain an overall average
mark of at least 55% in these modules.
In order to progress from Part C to Part D, MMath candidates must, in addition,
achieve at least 30% in all modules and must normally obtain an overall average
mark of at least 55% in modules taken in Part C.
3.2
Relative Weighting of Parts of the Programmes for the Purpose of the Final
Degree Classification
Candidates’ final degree classification will be determined on the basis of their
performance in degree level module assessments in Parts B and C (plus D for
MMath candidates), in accordance with the scheme set out in Regulation XX. The
average percentage marks for each Part will be combined in the ratio
BSc candidates
MMath candidates
Part B : Part C
Part B : Part C : Part D
=1:3
=1:3:4
to determine the overall percentage mark for the Programme (the Programme Mark).
3.3
Re-assessment
Provision will be made in accordance with Regulation XX for BSc candidates who
have the right of re-assessment in Parts A and B of the programme and MMath
candidates who have the right of re-assessment in Parts A, B and C of the
programme to undergo re-assessment in the University’s special assessment period.
3.4
Criteria for candidates who do not receive permission to Progress or gain the
award of Degree.
Any candidate who fails to achieve the criteria for progression from Part A to Part B
shall have the opportunity to repeat Module Assessments in accordance with the
provisions of Regulation XX in order to qualify to progress to Part B.
*
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MAUB10 & MAUM10
Any candidate who fails to achieve the criteria for progression from Part B to Part C
shall have the opportunity to repeat Module Assessments in accordance with the
provisions of Regulation XX in order to qualify to progress to Part C. Alternatively,
an MMath candidate may elect to enter Part C of the BSc degree programme in
Mathematics provided that the candidate has achieved the criteria for progression
required for that programme. Failure at re-assessment will not prejudice this
permission to enter the BSc degree programme subsequently.
Any candidate who fails to achieve the criteria for progression from Part C to Part D
shall have the opportunity to repeat Module Assessments in accordance with the
provisions of Regulation XX in order to qualify to progress to Part D. The
Programme Board may at its discretion award the degree of BSc in Mathematics to
any candidate who has satisfied the requirements for that degree. Failure at reassessment will not prejudice the candidate’s eligibility for such an award.
Any candidate who, having successfully completed Part C, is unable to commence
or complete Part D or fails to achieve the criteria necessary for the award of the
degree of MMath in Mathematics may at the discretion of the Programme Board be
awarded the degree of BSc in Mathematics with a classification corresponding to the
candidate’s achievements in Part B and C assessments and determined on the basis
of the weighting given for the BSc programme.
March 2011
*