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Department of Mathematical Sciences Course Catalogue 2025/26


USMA-AFM30: MMath(Hons) Mathematics

Route: MMath(Hons) Mathematics


Leading to the award of MASTER OF MATHEMATICS


Mode of Attendance: Full-time


Normal course duration: 4 Years

[Page last updated: 01 May 2025]


Key Information
Applicable assessment regulations:
Undergraduate assessment regulations - /publications/undergraduate-assessment-regulations/
Approved exemptions:
None
Coexistent Masters course?:
Yes
DACS and exit awards:
USMA-AFB30: BSc(Hons) Mathematics is the designated alternative course (DAC).

Transfer to DAC is possible in years 1 or 2 if co-existent master's progression threshold is not met.

Exit awards:

BSc(Hons) Mathematics. Overall course average: weighted stage 1 0%, stage 2 32%, final stage 68%

Diploma of Higher Education

Certificate of Higher Education


Course Transfer information:

All undergraduate (including undergraduate Masters) courses in the Department of Mathematical Sciences are in the same Course Family due to the high degree of commonality between available units in Stages 1 and 2. Students who have transferred between courses within a particular Course Family will only be permitted one further attempt at a stage that they have already taken.
Weighting towards final award by stage:
Stage 1: 0%
Stage 2: 16%
Stage 3: 34%
Final Stage: 50%

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


Jump to:

Year 1

Semester 1: Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA12001 Pure mathematics 1A 15 Credits
MA12002 Applied mathematics 1A 15 Credits

Semester 2: Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA12003 Applied mathematics 1B 15 Credits
MA12004 Pure mathematics 1B 15 Credits

Notes:

  • 好色tv and units may be changed in accordance with normal University procedures.
  • This course catalogue is applicable for all years of study for the 2025/26 academic year only. Students continuing their studies into 2026/27 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
  • Assessment regulations are subject to review and update. Links given here will provide access to the latest versions of documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how assessment regulations were applied to this course 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

Students must choose at least two of blocks 1 to 3 (List A) and at least one of blocks 4 to 6 (List B) as listed below.

  • Block 1: MA22032 Analysis 2A + MA22033 Analysis 2B (15 credits)
  • Block 2: MA22014 Statistics 2A + MA22015 Statistics 2B (15 credits)
  • Block 3: Applied (MA22016 Differential Eqns and Vector Calculus; MA22021 PDEs) (15 credits)
  • Block 4: MA22038 Probabilistic modelling + MA22039 Probability theory (15 credits)
  • Block 5: MA22020 Advanced linear algebra + MA22017 Groups and rings (15 credits)
  • Block 6: Numerical analysis alone (10 credits)
Students must take a total of 60 credits across the year with at least 25 credits of MA units in each semester.

LIST A - Select a minimum of 30 and a maximum of 45 credits from the combination of the following lists:

Semester 1: Stage 2

Optional Units: Select a minimum of 20 and a maximum of 30 credits from the following list:
Unit Code
Title
ECTS Credits
MA22014 Statistics 2A 10 Credits
MA22016 Differential equations and vector calculus 10 Credits
MA22032 Analysis 2A 10 Credits

Semester 2: Stage 2

Optional Units: Select a minimum of 10 and a maximum of 15 credits from the following list:
Unit Code
Title
ECTS Credits
MA22015 Statistics 2B 5 Credits
MA22021 Partial differential equations 5 Credits
MA22033 Analysis 2B 5 Credits

LIST B - Select a minimum of 10 and a maximum of 30 credits from the combination of the following lists:

Semester 1: Stage 2

Optional Units: Select a minimum of 0 and a maximum of 10 credits from the following list:
Unit Code
Title
ECTS Credits
MA22020 Advanced linear algebra 5 Credits
MA22038 Probabilistic modelling 5 Credits

Semester 2: Stage 2

Optional Units: Select a minimum of 10 and a maximum of 20 credits from the following list:
Unit Code
Title
ECTS Credits
MA22017 Groups and rings 10 Credits
MA22037 Numerical analysis 10 Credits
MA22039 Probability theory 10 Credits

LIST C - Select a minimum of 0 and a maximum of 20 credits from the combination of the following lists:

Academic Year: Stage 2

Optional Units: Select a minimum of 0 and a maximum of 10 credits from the following list:
Unit Code
Title
ECTS Credits
ES22015 Introduction to econometrics 10 Credits
PH12031 Core physics 10 Credits

Semester 1: Stage 2

Optional Units: Select a minimum of 0 and a maximum of 5 credits from the following list:
Unit Code
Title
ECTS Credits
MA22018 Machine learning 1 5 Credits
Optional Units: Select a minimum of 0 and a maximum of 5 credits from the following list:
Unit Code
Title
ECTS Credits
MN12002 Introduction to accounting 5 Credits

Semester 2: Stage 2

Optional Units: Select a minimum of 0 and a maximum of 10 credits from the following list:
Unit Code
Title
ECTS Credits
MA22019 Introduction to data science 5 Credits
MA22035 Mathematical biology: ecology and epidemiology 5 Credits
Optional Units: Select a minimum of 0 and a maximum of 5 credits from the following list:
Unit Code
Title
ECTS Credits
MN12002 Introduction to accounting 5 Credits
MN12150 Corporate finance for managers 5 Credits

Notes:

  • 好色tv and units may be changed in accordance with normal University procedures.
  • This course catalogue is applicable for all years of study for the 2025/26 academic year only. Students continuing their studies into 2026/27 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
  • Assessment regulations are subject to review and update. Links given here will provide access to the latest versions of documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how assessment regulations were applied to this course 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 choose 30 credits per semester, including at least 20 credits of Maths units, and at least one semester-long 10 credit unit. 10-credit AY units count as 5 credits in each semester.

Academic Year: Stage 3

Optional Units: Select a minimum of 0 and a maximum of 10 credits from the following list:
Unit Code
Title
ECTS Credits
MA32044 Communicating mathematics 10 Credits

Semester 1: Stage 3

Optional Units: Select a minimum of 10 and a maximum of 30 credits from the following list:
Unit Code
Title
ECTS Credits
MA32022 Statistical modelling and data analytics 3A 10 Credits
MA32041 Advanced analysis 10 Credits
MA32051 Fluid dynamics 10 Credits
MA32065 Numerical linear algebra 10 Credits
MA32071 Stochastic processes and martingales 10 Credits
Optional Units: Select a minimum of 0 and a maximum of 20 credits from the following list:
Unit Code
Title
ECTS Credits
MA32025 Medical statistics 5 Credits
MA32026 Machine learning 2 5 Credits
MA32043 Analysis of ordinary differential equations 5 Credits
MA32046 Control theory 5 Credits
MA32047 Differential geometry of curves and surfaces 5 Credits
MA32049 Dynamics and chaos 5 Credits
MA32059 Mathematical modelling 5 Credits
MA32064 Number theory and cryptography 5 Credits
MA32069 Projective geometry 5 Credits
Optional Units: Select a minimum of 0 and a maximum of 10 credits from the following list:
: 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
ED32015 Science education in practice 5 Credits
MN22162 Intermediate accounting 5 Credits
MN22175 Principles of finance 5 Credits

Semester 2: Stage 3

Optional Units: Select a minimum of 10 and a maximum of 30 credits from the following list:
Unit Code
Title
ECTS Credits
MA32024 Statistical modelling and data analytics 3B 10 Credits
MA32055 Groups and their representations 10 Credits
MA32062 Methods for differential equations 10 Credits
Optional Units: Select a minimum of 0 and a maximum of 20 credits from the following list:
Unit Code
Title
ECTS Credits
MA32023 Bayesian statistics 5 Credits
MA32028 Applied data science 5 Credits
MA32045 Complex analysis 5 Credits
MA32048 Discrete probability 5 Credits
MA32053 Functional analysis: Hilbert spaces 5 Credits
MA32054 Graph theory 5 Credits
MA32056 Introduction to topology 5 Credits
MA32058 Mathematical biology: biomedical applications 5 Credits
MA32060 Mathematics of planet Earth 5 Credits
MA32061 Measure theory and integration 5 Credits
MA32063 Modelling with randomness 5 Credits
MA32066 Numerical solution of elliptic partial differential equations 5 Credits
MA32068 Probability and finance 5 Credits
MA32070 Scientific computing 5 Credits
Optional Units: Select a minimum of 0 and a maximum of 10 credits from the following list:
: 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
ED32014 Issues in science education 5 Credits
MN22165 Intermediate corporate finance for managers 5 Credits
MN32179 Advanced accounting 5 Credits

Notes:

  • 好色tv and units may be changed in accordance with normal University procedures.
  • This course catalogue is applicable for all years of study for the 2025/26 academic year only. Students continuing their studies into 2026/27 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
  • Assessment regulations are subject to review and update. Links given here will provide access to the latest versions of documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how assessment regulations were applied to this course 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.