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Department of Mathematical Sciences Programme Catalogue 2020/1


USMA-AFB13: BSc(Hons) Mathematics

Leading to the award of BACHELOR OF SCIENCE IN MATHEMATICS

Mode of attendance: Full-time

Normal programme duration: 3 years

[Page last updated: 10 August 2020]

Click here for further information Possible DAPs for this programme:

  • This programme has no possible DAPs
 

Click here for further informationPossible exit awards for this programme:



Year 1

Click here for further information NFAAR-UG assessment regulations:
  • Transfer to DAP is not possible from this programme year.
  • Main assessment regulations: Appendix 11 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 12 PDF format -requires Acrobat Reader to view.
  • 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] Further information on credits
MA10265 Programming and discrete mathematics 12 credits       [equivalent to 24 CATS credits] Further information on credits


Semester 1: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10209 Algebra 1A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA10211 Probability & statistics 1A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA10230 Methods and applications 1A 6 credits       [equivalent to 12 CATS credits] Further information on credits


Semester 2: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10210 Algebra 1B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA10212 Probability & statistics 1B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA10236 Methods and applications 1B 6 credits       [equivalent to 12 CATS credits] Further information on 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 2020/21 academic year only. Students continuing their studies into 2021/22 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 12 credits from the options available in Year 2 of this programme

Click here for further information NFAAR-UG assessment regulations:
  • Transfer to DAP is not possible from this programme year.
  • Main assessment regulations: Appendix 11 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 12 PDF format -requires Acrobat Reader to view.
  • Part 2 Stage 2 of this programme contributes 32% towards the final award classification


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       [equivalent to 24 CATS credits] Further information on credits


Semester 1: Part 2 Stage 2

Compulsory Units:
Unit Code
Title
ECTS Credits
MA20216 Algebra 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20218 Analysis 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20220 Ordinary differential equations and control 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20222 Numerical analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits

Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Unit Code
Title
ECTS Credits
CM20217 Foundations of computation 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM20254 Data structures and algorithms 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20224 Probability 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20226 Statistics 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH10005 Vibrations, waves & optics 6 credits       [equivalent to 12 CATS credits] Further information on credits


Semester 2: Part 2 Stage 2

Compulsory Units:
Unit Code
Title
ECTS Credits
MA20217 Algebra 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20219 Analysis 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20221 Modelling and dynamical systems 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20223 Vector calculus and partial differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits

Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Unit Code
Title
ECTS Credits
CM20252 Artificial intelligence 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM20256 Functional programming 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20225 Probability 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20227 Statistics 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH10001 Introduction to quantum physics 6 credits       [equivalent to 12 CATS credits] Further information on 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 2020/21 academic year only. Students continuing their studies into 2021/22 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 6 units from the union of lists A1 and A2.
  • 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.

Click here for further information NFAAR-UG assessment regulations:
  • Transfer to DAP is not possible from this programme year.
  • Main assessment regulations: Appendix 27 (Section B)PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 28 (Section B)PDF format -requires Acrobat Reader to view.
  • 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 B
List B
  • You may not select more than 12 credits of level 2 units in this year of the programme.
Unit Code
Title
ECTS Credits
ES20069 Introduction to econometrics 12 credits       [equivalent to 24 CATS credits] Further information on credits


Semester 1: Part 3 Stage 3

Optional Units: Select a minimum of 1 and a maximum of 5 units from the following list: LIST A1
List A1
  • Students must choose at least 6 units from the union of this list and list A2 in Semester 2.
Unit Code
Title
ECTS Credits
MA30039 Differential geometry of curves & surfaces 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30044 Mathematical methods 1 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30046 Linear control theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30047 Mathematical biology 1 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30051 Numerical linear algebra 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30060 Dynamics and chaos 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30087 Optimisation methods of operational research 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30125 Markov processes & applications 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30237 Group theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30252 Advanced real analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30253 Continuum mechanics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30257 Methods for stochastic systems 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40042 Measure theory & integration 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40171 Numerical solution of evolutionary equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40238 Number theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40254 Differential and geometric analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH30031 Simulation techniques 6 credits       [equivalent to 12 CATS credits] Further information on credits

Optional Units: Select a minimum of 0 and a maximum of 4 units from the following list: LIST B1
List B1
  • Students may not select more than 12 credits of level 2 units in this year of the 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
CM20254 Data structures and algorithms 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30070 Computer algebra 6 credits       [equivalent to 12 CATS credits] Further information on credits
ES30027 Advanced econometrics 1 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20224 Probability 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20226 Statistics 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30084 Generalised linear models 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30086 Medical statistics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40092 Classical statistical inference 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40198 Applied statistical inference 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH20013 Quantum & atomic physics 6 credits       [equivalent to 12 CATS credits] Further information on credits


Semester 2: Part 3 Stage 3

Optional Units: Select a minimum of 1 and a maximum of 5 units from the following list: LIST A2
List A2
  • Students must choose at least 6 units from the union of this list and list A1 in Semester 1.
Unit Code
Title
ECTS Credits
MA30055 Introduction to topology 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30059 Mathematical methods 2 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30061 Optimal control 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30062 Analysis of nonlinear ordinary differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30063 Mathematical biology 2 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30089 Stochastic processes & finance 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30128 Project 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30170 Numerical solution of elliptic PDEs 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30231 Projective geometry 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30245 Graphs and networks: theory and applications 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40037 Galois theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40049 Elasticity 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40050 Numerical optimisation and large-scale systems 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40057 Functional analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40058 Probability with martingales 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40177 Scientific computing 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40203 Theory of partial differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40239 Discrete probability 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40255 Viscous fluid dynamics 6 credits       [equivalent to 12 CATS credits] Further information on credits

Optional Units: Select a minimum of 0 and a maximum of 4 units from the following list: LIST B2
List B2
  • Students may not select more than 12 credits of level 2 units in this year of the 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
CM20252 Artificial intelligence 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM20256 Functional programming 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30073 Advanced algorithms & complexity 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30173 Cryptography 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30226 Logic and semantics of programming languages 6 credits       [equivalent to 12 CATS credits] Further information on credits
ES30028 Advanced econometrics 2 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20225 Probability 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20227 Statistics 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30085 Time series 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30091 Applied statistics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30241 Communicating maths 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40090 Multivariate data analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40189 Topics in Bayesian statistics 6 credits       [equivalent to 12 CATS credits] Further information on 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 2020/21 academic year only. Students continuing their studies into 2021/22 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.