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Department of Mathematical Sciences, Programme Catalogue 2009/10

USMA-AFB16: BSc (hons) Mathematical Sciences with Study Year Abroad

Leading to the award of BACHELOR OF SCIENCE IN MATHEMATICAL SCIENCES

Mode of attendance: Study Year Abroad
arrowYear 1 arrowYear 2 arrowYear 3 arrowYear 4

Year 1

Click here for further information NFAAR assessment regulations: This programme year does not have a DAP. Main assessment regulations: Appendix 11 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 12 PDF format -requires Acrobat Reader to view


Academic Year: Part 1 Stage 1
Compulsory Units
MA10207 Analysis 1 12 Credits
MA10208 Methods and applications 1 12 Credits
XX10190 Programming and discrete mathematics 1 12 Credits

Semester 1: Part 1 Stage 1
Compulsory Units
MA10209 Algebra 1A 6 Credits
MA10211 Probability & statistics 1A 6 Credits

Semester 2: Part 1 Stage 1
Compulsory Units
MA10210 Algebra 1B 6 Credits
MA10212 Probability & statistics 1B 6 Credits

Year 2

Click here for further information NFAAR assessment regulations: This programme year has a DAP. Main assessment regulations: Appendix 19 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 20 PDF format -requires Acrobat Reader to view


Academic Year: Part 2 Stage 2
Optional Units: Select between 0 and 1 Unit(s) from the following list:
AA00022 Choose nothing from this list of options 0 Credits
CM20221 Programming IIa 12 Credits

Semester 1: Part 2 Stage 2
Compulsory Units
MA20007 Analysis: Real numbers, real sequences & series 6 Credits
MA20008 Algebra 1 6 Credits
Optional Units: Select between 2 and 3 Unit(s) from the following list:
  • Students selecting PH20013 should have A-Level Physics, and should study the material on waves from PH10005, to be provided in a Moodle course, over the summer.
  • Students must select at least 2 optional units from the Department of Mathematical Sciences (coded MA*) in Year 2 of this programme.
CM10194 Systems architecture 1 6 Credits
CM20217 Foundations of computation 1 6 Credits
MA20009 Ordinary differential equations & control 6 Credits
MA20010 Vector calculus & partial differential equations 6 Credits
MA20033 Statistical inference 1 6 Credits
MA20034 Probability & random processes 6 Credits
MN10248 Introduction to business accounting 6 Credits
PH10002 Properties of matter 6 Credits
PH20013 Quantum & atomic physics 6 Credits

Semester 2: Part 2 Stage 2
Compulsory Units
MA20011 Analysis: Real-valued functions of a real variable 6 Credits
MA20012 Algebra 2 6 Credits
Optional Units: Select between 2 and 3 Unit(s) from the following list:
  • Students selecting PH10006 should have A-Level Physics, and should study the material on waves from PH10005, to be provided in a Moodle course, over the summer.
  • Students must select at least 2 optional units from the Department of Mathematical Sciences (coded MA*) in Year 2 of this programme.
CM10195 Systems architecture 2 6 Credits
CM20218 Foundations of computation 2 6 Credits
MA20013 Mathematical modelling & fluids 6 Credits
MA20014 Numerical analysis 6 Credits
MA20035 Statistical inference 2 6 Credits
MA20036 Stochastic processes 6 Credits
MN10248 Introduction to business accounting 6 Credits
MN20310 Empirical research methods in finance 6 Credits
PH10006 Electricity & magnetism 6 Credits

Year 3

Click here for further information NFAAR assessment regulations: This year of this programme of study does not currently fall within the NFAAR


Academic Year

Compulsory Units
MA20106 Study year abroad (BSc) 60 Credits

Year 4

Click here for further information NFAAR assessment regulations: This year of this programme of study does not currently fall within the NFAAR

  • Students must take units totalling 60 credits for the year, normally 30 credits each semester.
  • At least 48 of the 60 credits should be at level 3 or higher.
  • At least 24 of the 60 credits must be from units in the Department of Mathematical Sciences (coded MA*) .

Academic Year

Optional Units: Select between 0 and 2 Unit(s) from the following list:
AA00021 Choose nothing from this list of options 0 Credits
CM20221 Programming IIa 12 Credits
MN30380 Financial markets 12 Credits

Semester 1

Optional Units: Select between 3 and 5 Unit(s) from the following list:
NB. Students must select at least 4 optional units from the Department of Mathematical Sciences (coded MA*) in Year 3 of this programme.
CM20217 Foundations of computation 1 6 Credits
CM30070 Computer algebra 6 Credits
CM30078 Networking 6 Credits
CM30142 Music & digital signal processing 6 Credits
MA20009 Ordinary differential equations & control 6 Credits
MA20010 Vector calculus & partial differential equations 6 Credits
MA20033 Statistical inference 1 6 Credits
MA20034 Probability & random processes 6 Credits
MA30039 Differential geometry of curves & surfaces 6 Credits
MA30041 Metric spaces 6 Credits
MA30044 Mathematical methods 1 6 Credits
MA30046 Linear control theory 6 Credits
MA30047 Mathematical biology 1 6 Credits
MA30051 Numerical linear algebra 6 Credits
MA30084 Generalised linear models 6 Credits
MA30086 Medical statistics 6 Credits
MA30087 Optimisation methods of operational research 6 Credits
MA30092 Classical statistical inference 6 Credits
MA30204 Algebraic structures 6 Credits
MA40038 Advanced group theory 6 Credits
MA40043 Real & abstract analysis 6 Credits
MA40065 Viscous fluid mechanics 6 Credits
MA40125 Markov processes & applications 6 Credits
PH20029 Thermal physics 6 Credits
PH30030 Quantum mechanics 6 Credits
PH30031 Simulation techniques 6 Credits
ZZ30001 Director of Studies approved unit 6 Credits

Semester 2

Optional Units: Select between 3 and 5 Unit(s) from the following list:
NB. Students must select at least 4 optional units from the Department of Mathematical Sciences (coded MA*) in Year 3 of this programme.
CM20218 Foundations of computation 2 6 Credits
CM30073 Advanced algorithms & complexity 6 Credits
CM30075 Advanced computer graphics 6 Credits
CM30080 Computer vision 6 Credits
CM30173 Cryptography 6 Credits
CM30226 Logic and semantics of programming languages 6 Credits
MA20013 Mathematical modelling & fluids 6 Credits
MA20014 Numerical analysis 6 Credits
MA20035 Statistical inference 2 6 Credits
MA20036 Stochastic processes 6 Credits
MA30055 Introduction to topology 6 Credits
MA30056 Complex analysis 6 Credits
MA30059 Mathematical methods 2 6 Credits
MA30060 Nonlinear systems & chaos 6 Credits
MA30063 Mathematical biology 2 6 Credits
MA30085 Time series 6 Credits
MA30089 Applied probability & finance 6 Credits
MA30091 Applied statistics 6 Credits
MA30128 Project 6 Credits
MA30170 Numerical solution of PDEs I 6 Credits
MA30172 Conjecture & proof 6 Credits
MA40037 Galois theory 6 Credits
MA40049 Linear elasticity 6 Credits
MA40050 Nonlinear equations & bifurcations 6 Credits
MA40054 Representation theory of finite groups 6 Credits
MA40057 Functional analysis 6 Credits
MA40061 Nonlinear & optimal control theory 6 Credits
MA40090 Multivariate analysis 6 Credits
MA40188 Algebraic curves 6 Credits
MA40189 Topics in Bayesian statistics 6 Credits
MA40203 Theory of partial differential equations 6 Credits
PH20014 Electromagnetism 1 6 Credits
ZZ30004 Director of Studies approved unit 6 Credits