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Programme & Unit Catalogues

Department of Mathematical Sciences Programme Catalogue 2022/3


USMA-AFM14: MMath(Hons) Mathematics


Leading to the award of MASTER OF MATHEMATICS


Mode of Attendance: Full-time


Normal course duration: 4 Years

[Page last updated: 22 April 2022]


Assessment Regulations
Applicable NFAAR appendices:
Part 1 Stage 1: Main Assessment Appendix 15; Supplementary Assessment Appendix 16
Part 2 Stage 2: Main Assessment Appendix 23; Supplementary Assessment Appendix 24
Part 2 Stage 3: Main Assessment Appendix 23; Supplementary Assessment Appendix 24
Part 3 Stage 4: Main Assessment Appendix 27; Supplementary Assessment Appendix 28
Approved exemptions:
None
Coexistent Masters course?:
Yes
DAPS and exit awards:
USMA-AFB15: BSc (hons) Mathematical Sciences
USMA-AFL14: Diploma of Higher Education [exit award]
USMA-AFC14: Certificate of Higher Education [exit award]
Transfer to DAP possible from study years as follows: Year 1: Yes; Year 2: Yes; Year 3: Yes; Year 4: Yes;
NFAAR version applicable:
NFAAR-UG
Weighting towards final award by stage:
Part 1 Stage 1: 0%
Part 2 Stage 2: 16%
Part 2 Stage 3: 34%
Part 3 Stage 4: 50%

Please consult your programme handbook or contact your Director of Studies for further information on assessment regulations


Jump to:

Year 1

Academic Year: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10207 Analysis 1 12 Credits
MA10276 Programming, foundations and connections 12 Credits

Semester 1: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10209 Algebra 1A 6 Credits
MA10211 Probability & statistics 1A 6 Credits
MA10230 Multivariable calculus and differential equations 6 Credits

Semester 2: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10210 Algebra 1B 6 Credits
MA10212 Probability & statistics 1B 6 Credits
MA10236 Vectors, vector calculus and mechanics 6 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 2022/23 academic year only. Students continuing their studies into 2023/24 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

  • You must select optional units totalling 36 credits from the options available in Year 2 of this programme

Academic Year: Part 2 Stage 2

Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Unit Code
Title
ECTS Credits
ES20069 Introduction to econometrics 12 Credits

Semester 1: Part 2 Stage 2

Compulsory Units:
Unit Code
Title
ECTS Credits
MA20216 Algebra 2A 6 Credits
MA20218 Analysis 2A 6 Credits
Optional Units: Select a minimum of 2 and a maximum of 3 units from the following list:
Unit Code
Title
ECTS Credits
MA20220 Ordinary differential equations and control 6 Credits
MA20222 Numerical analysis 6 Credits
MA20224 Probability 2A 6 Credits
MA20226 Statistics 2A 6 Credits
MA20277 Introduction to data science 6 Credits
Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Unit Code
Title
ECTS Credits
MN10248 Introduction to accounting 6 Credits
PH10005 Vibrations, waves & optics 6 Credits

Semester 2: Part 2 Stage 2

Compulsory Units:
Unit Code
Title
ECTS Credits
MA20217 Algebra 2B 6 Credits
MA20219 Analysis 2B 6 Credits
Optional Units: Select a minimum of 2 and a maximum of 3 units from the following list:
Unit Code
Title
ECTS Credits
MA20221 Modelling and dynamical systems 6 Credits
MA20223 Vector calculus and partial differential equations 6 Credits
MA20225 Probability 2B 6 Credits
MA20227 Statistics 2B 6 Credits
MA20278 Machine learning 1 6 Credits
Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Unit Code
Title
ECTS Credits
CM20256 Functional programming 6 Credits
MN10248 Introduction to accounting 6 Credits
MN10500 Corporate finance for managers 6 Credits
PH10001 Introduction to quantum physics 6 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 2022/23 academic year only. Students continuing their studies into 2023/24 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. In the combined programme for years 3 and 4 at least 108 of the 120 credits should be at level 3 or higher and at least 60 should be at level 4.
  • Students may take no more than 12 credits of units at Intermediate level (e.g. codes beginning MA2*, CM2* etc.) in this programme year.
  • Students must check the teaching timeslots (pdf - link opens in new tab) when choosing units. To minimise timetable clashes, no more than one unit should be chosen from each timeslot within the same semester.

Academic Year: Part 2 Stage 3

Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Unit Code
Title
ECTS Credits
ES20069 Introduction to econometrics 12 Credits

Semester 1: Part 2 Stage 3

Optional Units: Select a minimum of 4 and a maximum of 5 units from the following list:
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
ES30027 Advanced econometrics 1 6 Credits
MA20220 Ordinary differential equations and control 6 Credits
MA20222 Numerical analysis 6 Credits
MA20224 Probability 2A 6 Credits
MA20226 Statistics 2A 6 Credits
MA20277 Introduction to data science 6 Credits
MA30039 Differential geometry of curves & surfaces 6 Credits
MA30044 Mathematical methods 1 6 Credits
MA30047 Mathematical biology 1 6 Credits
MA30051 Numerical linear algebra 6 Credits
MA30060 Dynamics and chaos 6 Credits
MA30084 Generalised linear models 6 Credits
MA30086 Medical statistics 6 Credits
MA30087 Optimisation methods of operational research 6 Credits
MA30125 Markov processes & applications 6 Credits
MA30237 Group theory 6 Credits
MA30252 Advanced real analysis 6 Credits
MA30253 Continuum mechanics 6 Credits
MA30257 Methods for stochastic systems 6 Credits
MA40042 Measure theory & integration 6 Credits
MA40092 Classical statistical inference 6 Credits
MA40171 Numerical solution of evolutionary equations 6 Credits
MA40198 Applied statistical inference 6 Credits
MA40238 Number theory 6 Credits
MA40254 Differential and geometric analysis 6 Credits
MN20501 Intermediate accounting 6 Credits
MN20502 Principles of finance for managers 6 Credits
PH20013 Quantum & atomic physics 6 Credits
PH30031 Simulation techniques 6 Credits

Semester 2: Part 2 Stage 3

Optional Units: Select a minimum of 4 and a maximum of 5 units from the following list:
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
CM30173 Cryptography 6 Credits
ES30028 Advanced econometrics 2 6 Credits
MA20221 Modelling and dynamical systems 6 Credits
MA20223 Vector calculus and partial differential equations 6 Credits
MA20225 Probability 2B 6 Credits
MA20227 Statistics 2B 6 Credits
MA20278 Machine learning 1 6 Credits
MA30055 Introduction to topology 6 Credits
MA30059 Mathematical methods 2 6 Credits
MA30061 Optimal control 6 Credits
MA30062 Analysis of nonlinear ordinary differential equations 6 Credits
MA30063 Mathematical biology 2 6 Credits
MA30085 Time series 6 Credits
MA30089 Stochastic processes & finance 6 Credits
MA30091 Applied statistics 6 Credits
MA30170 Numerical solution of elliptic PDEs 6 Credits
MA30231 Projective geometry 6 Credits
MA30241 Communicating maths 6 Credits
MA30245 Graphs and networks: theory and applications 6 Credits
MA30287 Mathematics of Planet Earth 6 Credits
MA40037 Galois theory 6 Credits
MA40049 Elasticity 6 Credits
MA40050 Numerical optimisation and large-scale systems 6 Credits
MA40057 Functional analysis 6 Credits
MA40058 Probability with martingales 6 Credits
MA40090 Multivariate data analysis 6 Credits
MA40177 Scientific computing 6 Credits
MA40189 Topics in Bayesian statistics 6 Credits
MA40203 Theory of partial differential equations 6 Credits
MA40239 Discrete probability 6 Credits
MA40255 Viscous fluid dynamics 6 Credits
MN20503 Intermediate corporate finance for managers 6 Credits
MN30549 Advanced accounting 6 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 2022/23 academic year only. Students continuing their studies into 2023/24 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 4

  • Students must take units totalling 60 credits for the year, normally 30 credits each semester. In the combined programme for years 3 and 4 at least 108 of the 120 credits should be at level 3 or higher and at least 60 should be at level 4.
  • Students must check the teaching timeslots (pdf - link opens in new tab) when choosing units. To minimise timetable clashes, no more than one unit should be chosen from each timeslot within the same semester.

Academic Year: Part 3 Stage 4

Compulsory Units:
Unit Code
Title
ECTS Credits
MA40249 Year long project (MMath) 12 Credits

Semester 1: Part 3 Stage 4

Optional Units: Select 4 units from the following list:
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
ES30027 Advanced econometrics 1 6 Credits
MA30039 Differential geometry of curves & surfaces 6 Credits
MA30044 Mathematical methods 1 6 Credits
MA30047 Mathematical biology 1 6 Credits
MA30051 Numerical linear algebra 6 Credits
MA30060 Dynamics and chaos 6 Credits
MA30084 Generalised linear models 6 Credits
MA30086 Medical statistics 6 Credits
MA30087 Optimisation methods of operational research 6 Credits
MA30125 Markov processes & applications 6 Credits
MA30237 Group theory 6 Credits
MA30252 Advanced real analysis 6 Credits
MA30253 Continuum mechanics 6 Credits
MA30257 Methods for stochastic systems 6 Credits
MA40040 Algebraic topology 6 Credits
MA40042 Measure theory & integration 6 Credits
MA40045 Dynamical systems 6 Credits
MA40092 Classical statistical inference 6 Credits
MA40171 Numerical solution of evolutionary equations 6 Credits
MA40198 Applied statistical inference 6 Credits
MA40238 Number theory 6 Credits
MA40254 Differential and geometric analysis 6 Credits
PH30030 Quantum mechanics 6 Credits
PH30031 Simulation techniques 6 Credits

Semester 2: Part 3 Stage 4

Optional Units: Select 4 units from the following list:
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
CM30173 Cryptography 6 Credits
ES30028 Advanced econometrics 2 6 Credits
MA30055 Introduction to topology 6 Credits
MA30059 Mathematical methods 2 6 Credits
MA30061 Optimal control 6 Credits
MA30062 Analysis of nonlinear ordinary differential equations 6 Credits
MA30063 Mathematical biology 2 6 Credits
MA30085 Time series 6 Credits
MA30089 Stochastic processes & finance 6 Credits
MA30091 Applied statistics 6 Credits
MA30170 Numerical solution of elliptic PDEs 6 Credits
MA30231 Projective geometry 6 Credits
MA30241 Communicating maths 6 Credits
MA30245 Graphs and networks: theory and applications 6 Credits
MA30287 Mathematics of Planet Earth 6 Credits
MA40037 Galois theory 6 Credits
MA40048 Analytical & geometrical theory of differential equations 6 Credits
MA40049 Elasticity 6 Credits
MA40050 Numerical optimisation and large-scale systems 6 Credits
MA40057 Functional analysis 6 Credits
MA40058 Probability with martingales 6 Credits
MA40090 Multivariate data analysis 6 Credits
MA40177 Scientific computing 6 Credits
MA40189 Topics in Bayesian statistics 6 Credits
MA40203 Theory of partial differential equations 6 Credits
MA40239 Discrete probability 6 Credits
MA40255 Viscous fluid dynamics 6 Credits
PH40084 Advanced quantum theory 6 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 2022/23 academic year only. Students continuing their studies into 2023/24 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.