## Department of Mathematical Sciences Programme Catalogue 2022/3

### USMA-AFM14: MMath(Hons) Mathematics

#### 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
None
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-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

 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

 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:
###### 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
##### Optional Units: Select a minimum of 2 and a maximum of 3 units from the following list:
###### 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:
###### ECTS Credits
MN10248 Introduction to accounting 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
##### Optional Units: Select a minimum of 2 and a maximum of 3 units from the following list:
###### 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:
###### 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

 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:
###### 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:
 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
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:
 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
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

 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:
###### ECTS Credits
MA40249 Year long project (MMath) 12 Credits

#### Semester 1: Part 3 Stage 4

##### Optional Units: Select 4 units from the following list:
 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
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:
 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
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