## Department of Mathematical Sciences Programme Catalogue 2022/3

### USMA-AAB14: BSc(Hons) Mathematics with Study year abroad

#### Normal course duration: 4 Years

[Page last updated: 22 April 2022]

 Assessment Regulations
###### Applicable NFAAR appendices:
Part 1 Stage 1: Main Assessment Appendix 11; Supplementary Assessment Appendix 12
Part 2 Stage 2: Main Assessment Appendix 11; Supplementary Assessment Appendix 12
Part 2 Stage 3: Main Assessment Appendix 11; Supplementary Assessment Appendix 12
Part 3 Stage 4: Main Assessment Appendix 27; Supplementary Assessment Appendix 28
None
No
###### DAPS and exit awards:
USMA-AFB13: BSc (hons) Mathematics
USMA-AAL15: Diploma of Higher Education [exit award]
USMA-AAC15: Certificate of Higher Education [exit award]
Transfer to DAP possible from study years as follows: Year 1: No; Year 2: No; Year 3: Yes; Year 4: No;
NFAAR-UG
###### Weighting towards final award by stage:
Part 1 Stage 1: 0%
Part 2 Stage 2: 24%
Part 2 Stage 3: 8%
Part 3 Stage 4: 68%

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

 Year 1

#### Academic Year: Part 1 Stage 1

##### Compulsory Units:
###### ECTS Credits
MA10207 Analysis 1 12 Credits
MA10276 Programming, foundations and connections 12 Credits

#### Semester 1: Part 1 Stage 1

##### Compulsory Units:
###### 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:
###### ECTS Credits
MA10210 Algebra 1B 6 Credits
MA10212 Probability & statistics 1B 6 Credits
MA10236 Vectors, vector calculus and mechanics 6 Credits

 Year 2

 Students must select units totalling 12 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:
###### ECTS Credits
ES20069 Introduction to econometrics 12 Credits

#### Semester 1: Part 2 Stage 2

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

#### Semester 2: Part 2 Stage 2

##### Compulsory Units:
###### ECTS Credits
MA20217 Algebra 2B 6 Credits
MA20219 Analysis 2B 6 Credits
MA20221 Modelling and dynamical systems 6 Credits
MA20223 Vector calculus and partial differential equations 6 Credits
##### Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
###### ECTS Credits
CM20256 Functional programming 6 Credits
MA20225 Probability 2B 6 Credits
MA20227 Statistics 2B 6 Credits
MA20278 Machine learning 1 6 Credits
PH10001 Introduction to quantum physics 6 Credits

 Year 3

#### Academic Year: Part 2 Stage 3

##### Compulsory Units:
###### ECTS Credits
MA20106 Study year abroad (BSc) 60 Credits

 Year 4

 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.

#### Academic Year: Part 3 Stage 4

##### 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.
###### ECTS Credits
ES20069 Introduction to econometrics 12 Credits

#### Semester 1: Part 3 Stage 4

##### 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.
###### ECTS 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
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
MA40171 Numerical solution of evolutionary equations 6 Credits
MA40238 Number theory 6 Credits
MA40254 Differential and geometric analysis 6 Credits
PH30031 Simulation techniques 6 Credits
##### Optional Units: Select a minimum of 0 and a maximum of 4 units from the following list: LIST B1
 List B1Students may not select more than 12 credits of level 2 units in this year of the programme.
 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
###### ECTS Credits
ES30027 Advanced econometrics 1 6 Credits
MA20224 Probability 2A 6 Credits
MA20226 Statistics 2A 6 Credits
MA20277 Introduction to data science 6 Credits
MA30084 Generalised linear models 6 Credits
MA30086 Medical statistics 6 Credits
MA40092 Classical statistical inference 6 Credits
MA40198 Applied statistical inference 6 Credits
PH20013 Quantum & atomic physics 6 Credits

#### Semester 2: Part 3 Stage 4

##### 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.
###### ECTS 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
MA30089 Stochastic processes & finance 6 Credits
MA30128 Project 6 Credits
MA30170 Numerical solution of elliptic PDEs 6 Credits
MA30231 Projective geometry 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
MA40177 Scientific computing 6 Credits
MA40203 Theory of partial differential equations 6 Credits
MA40239 Discrete probability 6 Credits
MA40255 Viscous fluid dynamics 6 Credits
##### Optional Units: Select a minimum of 0 and a maximum of 4 units from the following list: LIST B2
 List B2Students may not select more than 12 credits of level 2 units in this year of the programme.
 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
###### ECTS Credits
CM20256 Functional programming 6 Credits
CM30173 Cryptography 6 Credits
ES30028 Advanced econometrics 2 6 Credits
MA20225 Probability 2B 6 Credits
MA20227 Statistics 2B 6 Credits
MA20278 Machine learning 1 6 Credits
MA30085 Time series 6 Credits
MA30091 Applied statistics 6 Credits
MA30241 Communicating maths 6 Credits
MA40090 Multivariate data analysis 6 Credits
MA40189 Topics in Bayesian statistics 6 Credits