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Department of Mathematical Sciences Programme Catalogue 2021/2


USMA-AFB01: BSc(Hons) Mathematics and Statistics

Leading to the award of BACHELOR OF SCIENCE IN MATHEMATICS AND STATISTICS

Mode of attendance: Full-time

Normal programme duration: 3 years

[Page last updated: 21 April 2021]

Possible DAPs for this programme:

  • This programme has no possible DAPs
 

Possible exit awards for this programme:



Year 1

NFAAR-UG assessment regulations:
  • Transfer to DAP is not possible from this programme year.
  • Main assessment regulations: Appendix 11 [pdf]; Supplementary assessment regulations: Appendix 12 [pdf].
  • Part 1 Stage 1 of this programme contributes 0% towards the final award classification


Academic Year: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10207 Analysis 1 12 credits       [equivalent to 24 CATS credits]
MA10276 Programming, foundations and connections 12 credits       [equivalent to 24 CATS credits]


Semester 1: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10209 Algebra 1A 6 credits       [equivalent to 12 CATS credits]
MA10211 Probability & statistics 1A 6 credits       [equivalent to 12 CATS credits]
MA10230 Multivariable calculus and differential equations 6 credits       [equivalent to 12 CATS credits]


Semester 2: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10210 Algebra 1B 6 credits       [equivalent to 12 CATS credits]
MA10212 Probability & statistics 1B 6 credits       [equivalent to 12 CATS credits]
MA10236 Vectors, vector calculus and mechanics 6 credits       [equivalent to 12 CATS credits]


Notes:

  • Programmes and units may be changed in accordance with normal University procedures.
  • This programme catalogue is applicable for all years of study for the 2021/22 academic year only. Students continuing their studies into 2022/23 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
  • NFAAR assessment regulations are subject to review and update. Links given here will provide access to the latest versions of NFAAR documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how the NFAAR was applied to this programme in previous academic years, please contact the relevant Director of Studies.
  • Availability of units is subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
  • Find out more about these and other important University terms and conditions here.


Year 2

NFAAR-UG assessment regulations:
  • Transfer to DAP is not possible from this programme year.
  • Main assessment regulations: Appendix 11 [pdf]; Supplementary assessment regulations: Appendix 12 [pdf].
  • Part 2 Stage 2 of this programme contributes 32% towards the final award classification


Semester 1: Part 2 Stage 2

Compulsory Units:
Unit Code
Title
ECTS Credits
MA20216 Algebra 2A 6 credits       [equivalent to 12 CATS credits]
MA20218 Analysis 2A 6 credits       [equivalent to 12 CATS credits]
MA20220 Ordinary differential equations and control 6 credits       [equivalent to 12 CATS credits]
MA20224 Probability 2A 6 credits       [equivalent to 12 CATS credits]
MA20226 Statistics 2A 6 credits       [equivalent to 12 CATS credits]


Semester 2: Part 2 Stage 2

Compulsory Units:
Unit Code
Title
ECTS Credits
MA20219 Analysis 2B 6 credits       [equivalent to 12 CATS credits]
MA20225 Probability 2B 6 credits       [equivalent to 12 CATS credits]
MA20227 Statistics 2B 6 credits       [equivalent to 12 CATS credits]

Optional Units: Select 2 units from the following list:
Unit Code
Title
ECTS Credits
MA20217 Algebra 2B 6 credits       [equivalent to 12 CATS credits]
MA20221 Modelling and dynamical systems 6 credits       [equivalent to 12 CATS credits]
MA20223 Vector calculus and partial differential equations 6 credits       [equivalent to 12 CATS credits]


Notes:

  • Programmes and units may be changed in accordance with normal University procedures.
  • This programme catalogue is applicable for all years of study for the 2021/22 academic year only. Students continuing their studies into 2022/23 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
  • NFAAR assessment regulations are subject to review and update. Links given here will provide access to the latest versions of NFAAR documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how the NFAAR was applied to this programme in previous academic years, please contact the relevant Director of Studies.
  • Availability of units is subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
  • Find out more about these and other important University terms and conditions here.


Year 3

  • Students must take units totalling 60 credits for the year, normally 30 credits each semester.
  • The year programme must include at least 3 units from the union of lists A1 and A2 and at least 2 units from the union of B1 and B2.
  • Students may choose no more than 24 credits from List C during this programme year.
  • Students may not choose more than 12 credits of level 2 units during this programme year.
  • Students may not choose more than four level 4 units without obtaining approval from the Director of Studies (see Maths UG Zone on Moodle - link opens in new tab).
  • Students must check the teaching timeslots (pdf - link opens in new tab) when choosing units. To minimise timetable clashes, you should not choose more than one unit from each timeslot within the same semester.
  • Any student wishing to transfer/recover to the MMath during this year must ensure that they choose units which can lead to the the satisfactory completion of either a BSc or MMath degree - please contact your Director of Studies for advice.

NFAAR-UG assessment regulations:
  • Transfer to DAP is not possible from this programme year.
  • Main assessment regulations: Appendix 27 (Section B) [pdf]; Supplementary assessment regulations: Appendix 28 (Section B) [pdf].
  • Part 3 Stage 3 of this programme contributes 68% towards the final award classification


Academic Year: Part 3 Stage 3

Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list: LIST C
List C
  • Students may take no more than 24 credits from List C in this programme year;
  • Students may not select more than 12 credits of level 2 units in the final year of this programme.
Unit Code
Title
ECTS Credits
ES20069 Introduction to econometrics 12 credits       [equivalent to 24 CATS credits]


Semester 1: Part 3 Stage 3

Compulsory Units:
Unit Code
Title
ECTS Credits
MA30084 Generalised linear models 6 credits       [equivalent to 12 CATS credits]

Optional Units: Select a minimum of 0 and a maximum of 4 units from the following list: LIST A1
List A1
  • You must choose at least 3 units from the union of this list and list A2 in Semester 2.
Unit Code
Title
ECTS Credits
MA30086 Medical statistics 6 credits       [equivalent to 12 CATS credits]
MA30087 Optimisation methods of operational research 6 credits       [equivalent to 12 CATS credits]
MA30125 Markov processes & applications 6 credits       [equivalent to 12 CATS credits]
MA30257 Methods for stochastic systems 6 credits       [equivalent to 12 CATS credits]
MA40092 Classical statistical inference 6 credits       [equivalent to 12 CATS credits]
MA40198 Applied statistical inference 6 credits       [equivalent to 12 CATS credits]

Optional Units: Select a minimum of 0 and a maximum of 4 units from the following list: LIST B1
List B1
  • You must choose at least 2 units from the union of this list and list B2 in Semester 2.
Unit Code
Title
ECTS Credits
MA30039 Differential geometry of curves & surfaces 6 credits       [equivalent to 12 CATS credits]
MA30044 Mathematical methods 1 6 credits       [equivalent to 12 CATS credits]
MA30046 Linear control theory 6 credits       [equivalent to 12 CATS credits]
MA30047 Mathematical biology 1 6 credits       [equivalent to 12 CATS credits]
MA30060 Dynamics and chaos 6 credits       [equivalent to 12 CATS credits]
MA30087 Optimisation methods of operational research 6 credits       [equivalent to 12 CATS credits]
MA30125 Markov processes & applications 6 credits       [equivalent to 12 CATS credits]
MA30237 Group theory 6 credits       [equivalent to 12 CATS credits]
MA30252 Advanced real analysis 6 credits       [equivalent to 12 CATS credits]
MA30253 Continuum mechanics 6 credits       [equivalent to 12 CATS credits]
MA30257 Methods for stochastic systems 6 credits       [equivalent to 12 CATS credits]
MA40042 Measure theory & integration 6 credits       [equivalent to 12 CATS credits]
MA40188 Algebraic curves 6 credits       [equivalent to 12 CATS credits]
MA40254 Differential and geometric analysis 6 credits       [equivalent to 12 CATS credits]

Optional Units: Select a minimum of 0 and a maximum of 2 units from the following list: LIST C1
List C1
  • Students may take no more than 24 credits from List C in this programme year;
  • Students may not select more than 12 credits of level 2 units in the final year of this programme.
Further information on DoS approved options Director of Studies approved option allowed: students may be permitted to take a Director of Studies approved option as an alternative to one of the units from this list
Unit Code
Title
ECTS Credits
CM30070 Computer algebra 6 credits       [equivalent to 12 CATS credits]
MA20222 Numerical analysis 6 credits       [equivalent to 12 CATS credits]


Semester 2: Part 3 Stage 3

Optional Units: Select a minimum of 0 and a maximum of 5 units from the following list: LIST A2
List A2
  • You must choose at least 3 units from the union of this list and list A1 in Semester 1.
Unit Code
Title
ECTS Credits
MA30085 Time series 6 credits       [equivalent to 12 CATS credits]
MA30089 Stochastic processes & finance 6 credits       [equivalent to 12 CATS credits]
MA30091 Applied statistics 6 credits       [equivalent to 12 CATS credits]
MA30245 Graphs and networks: theory and applications 6 credits       [equivalent to 12 CATS credits]
MA40090 Multivariate data analysis 6 credits       [equivalent to 12 CATS credits]
MA40189 Topics in Bayesian statistics 6 credits       [equivalent to 12 CATS credits]
MA40239 Discrete probability 6 credits       [equivalent to 12 CATS credits]

Optional Units: Select a minimum of 0 and a maximum of 5 units from the following list: LIST B2
List B2
  • You must choose at least 2 units from the union of this list and list B1 in Semester 1.
Unit Code
Title
ECTS Credits
MA30055 Introduction to topology 6 credits       [equivalent to 12 CATS credits]
MA30059 Mathematical methods 2 6 credits       [equivalent to 12 CATS credits]
MA30061 Optimal control 6 credits       [equivalent to 12 CATS credits]
MA30062 Analysis of nonlinear ordinary differential equations 6 credits       [equivalent to 12 CATS credits]
MA30063 Mathematical biology 2 6 credits       [equivalent to 12 CATS credits]
MA30089 Stochastic processes & finance 6 credits       [equivalent to 12 CATS credits]
MA30128 Project 6 credits       [equivalent to 12 CATS credits]
MA30170 Numerical solution of elliptic PDEs 6 credits       [equivalent to 12 CATS credits]
MA30231 Projective geometry 6 credits       [equivalent to 12 CATS credits]
MA30241 Communicating maths 6 credits       [equivalent to 12 CATS credits]
MA30245 Graphs and networks: theory and applications 6 credits       [equivalent to 12 CATS credits]
MA40049 Elasticity 6 credits       [equivalent to 12 CATS credits]
MA40050 Numerical optimisation and large-scale systems 6 credits       [equivalent to 12 CATS credits]
MA40054 Representation theory of finite groups 6 credits       [equivalent to 12 CATS credits]
MA40058 Probability with martingales 6 credits       [equivalent to 12 CATS credits]
MA40203 Theory of partial differential equations 6 credits       [equivalent to 12 CATS credits]
MA40239 Discrete probability 6 credits       [equivalent to 12 CATS credits]
MA40255 Viscous fluid dynamics 6 credits       [equivalent to 12 CATS credits]
MA40256 Analysis in Hilbert spaces 6 credits       [equivalent to 12 CATS credits]

Optional Units: Select a minimum of 0 and a maximum of 4 units from the following list: LIST C2
List C2
  • You may take no more than 24 credits from List C in this programme year;
  • You may not select more than 12 credits of level 2 units in the final year of this programme.
Further information on DoS approved options Director of Studies approved option allowed: students may be permitted to take a Director of Studies approved option as an alternative to one of the units from this list
Unit Code
Title
ECTS Credits
CM20256 Functional programming 6 credits       [equivalent to 12 CATS credits]
CM30173 Cryptography 6 credits       [equivalent to 12 CATS credits]
MA20217 Algebra 2B 6 credits       [equivalent to 12 CATS credits]
MA20221 Modelling and dynamical systems 6 credits       [equivalent to 12 CATS credits]
MA20223 Vector calculus and partial differential equations 6 credits       [equivalent to 12 CATS credits]


Notes:

  • Programmes and units may be changed in accordance with normal University procedures.
  • This programme catalogue is applicable for all years of study for the 2021/22 academic year only. Students continuing their studies into 2022/23 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
  • NFAAR assessment regulations are subject to review and update. Links given here will provide access to the latest versions of NFAAR documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how the NFAAR was applied to this programme in previous academic years, please contact the relevant Director of Studies.
  • Availability of units is subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
  • Find out more about these and other important University terms and conditions here.