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Master in Mathematics (Honours) Pure Mathematics (Fast Track)


  Information

This programme is not open to entrants in 2022-2023

MMath (Hons) Pure Mathematics (Fast Track): First year
Code Module name Credits
MT1002 Mathematics 20 AND
View list 60 credits from Module List: MT2501, MT2503 - MT2505 AND
MT2501 Linear Mathematics 15
MT2503 Multivariate Calculus 15
MT2504 Combinatorics and Probability 15
MT2505 Abstract Algebra 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list 30 credits from Module List: MT2506 - MT2508
MT2506 Vector Calculus 15
MT2507 Mathematical Modelling 15
MT2508 Statistical Inference 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above

Further requirements

Choose 120 credits in the academic year

Automatic Entry to Honours
Passes at first attempt in the six (in range MT2501 - MT2508) taken, with an average of the best four grades of the six (in range MT2501 - MT2508) taken being 15 or higher and no more than two grades of the six (in range MT2501 - MT2508) taken below 11.
MMath (Hons) Pure Mathematics (Fast Track): Second year
Code Module name Credits
MT2502 Analysis 15 AND
View list 15 credits from Module List: MT2506 - MT2508 AND
MT2506 Vector Calculus 15
MT2507 Mathematical Modelling 15
MT2508 Statistical Inference 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 105 credits from Module List: MT3501 - MT3505, MT4003 - MT4004 AND
MT3501 Linear Mathematics 2 15
MT3502 Real Analysis 15
MT3503 Complex Analysis 15
MT3504 Differential Equations 15
MT3505 Algebra: Rings and Fields 15
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 20 credits from Module List: MT3510, MT4111 - MT4112 AND
MT4112 Computing in Mathematics 15
MT3510 Introduction to Mathematical Computing 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 60 credits from Module List: MT5821, MT5823 - MT5830, MT5836 - MT5837, MT5861-MT5870, MT5867-MT5877, MT5590, MT5990 AND
MT5861 Advanced Combinatorics 15
MT5862 Discrete Geometry 15
MT5863 Semigroups 15
MT5864 Advanced Group Theory 15
MT5865 Measure Theory 15
MT5870 Hyperbolic Geometry 15
MT5876 Galois Theory 15
MT5877 Ergodic Theory and Dynamical Systems 15
MT5590 Independent Study Module 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 20 credits from Module List: MT5000 - MT5999, ID5059 AND
MT5095 Dissertation for MSc Mathematical Biology 60
MT5097 Portfolio Dissertation for Statistical Ecology MSc Programme 60
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5590 Independent Study Module 15
MT5599 Advanced Project in Mathematics / Statistics 30
MT5731 Advanced Bayesian Inference 15
MT5751 Estimating Animal Abundance and Biodiversity 15
MT5758 Multivariate Analysis 15
MT5761 Applied Statistical Modelling using GLMs 15
MT5762 Introductory Data Analysis 15
MT5763 Software for Data Analysis 15
MT5764 Advanced Data Analysis 15
MT5765 Medical Statistics 15
MT5766 Statistical Problem Solving 15
MT5767 Modelling Wildlife Population Dynamics 15
MT5842 Advanced Analytical Techniques 15
MT5846 Advanced Computational Techniques 15
MT5849 Geophysical Fluid Dynamics 15
MT5850 Advanced Solar Theory 15
MT5853 Spatial Models and Pattern Formation in Mathematical Biology 15
MT5854 Mathematical Oncology 15
MT5855 Stochastic Dynamics in Biology 15
MT5856 Calculus of Variations in Biological Modelling 15
MT5861 Advanced Combinatorics 15
MT5862 Discrete Geometry 15
MT5863 Semigroups 15
MT5864 Advanced Group Theory 15
MT5865 Measure Theory 15
MT5866 Probability Theory 15
MT5867 Mathematical Logic and Set Theory 15
MT5870 Hyperbolic Geometry 15
MT5876 Galois Theory 15
MT5877 Ergodic Theory and Dynamical Systems 15
MT5991 Professional Skills for Mathematical Scientists 30
ID5059 Knowledge Discovery and Datamining 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 90 credits from Module List: MT3000-MT5999, ID4001, ID5059
MT3501 Linear Mathematics 2 15
MT3502 Real Analysis 15
MT3503 Complex Analysis 15
MT3504 Differential Equations 15
MT3505 Algebra: Rings and Fields 15
MT3506 Techniques of Applied Mathematics 15
MT3507 Mathematical Statistics 15
MT3508 Applied Statistics 15
MT3510 Introduction to Mathematical Computing 15
MT3802 Numerical Analysis 15
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
MT4005 Linear and Nonlinear Waves 15
MT4112 Computing in Mathematics 15
MT4113 Computing in Statistics 15
MT4501 Topics in the History of Mathematics 15
MT4507 Classical Mechanics 15
MT4508 Dynamical Systems 15
MT4509 Fluid Dynamics 15
MT4510 Solar Theory 15
MT4511 Asymptotic Methods 15
MT4512 Automata, Languages and Complexity 15
MT4513 Fractal Geometry 15
MT4514 Graph Theory 15
MT4515 Functional Analysis 15
MT4516 Finite Mathematics 15
MT4519 Number Theory 15
MT4526 Topology 15
MT4527 Time Series Analysis 15
MT4528 Markov Chains and Processes 15
MT4530 Population Genetics 15
MT4531 Bayesian Inference 15
MT4537 Spatial Statistics 15
MT4539 Quantitative Risk Management 15
MT4551 Financial Mathematics 15
MT4552 Population Dynamics Models in Mathematical Biology 15
MT4553 Theory of Electric and Magnetic Fields 15
MT4598 Enterprise Project in Mathematics / Statistics 15
MT4599 Project in Mathematics / Statistics 15
MT4606 Classical Statistical Inference 15
MT4608 Sampling Theory 15
MT4614 Design of Experiments 15
MT4794 Joint Dissertation (30cr) 30
MT4796 Joint Project (30cr) 30
MT5095 Dissertation for MSc Mathematical Biology 60
MT5097 Portfolio Dissertation for Statistical Ecology MSc Programme 60
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5590 Independent Study Module 15
MT5599 Advanced Project in Mathematics / Statistics 30
MT5731 Advanced Bayesian Inference 15
MT5751 Estimating Animal Abundance and Biodiversity 15
MT5758 Multivariate Analysis 15
MT5761 Applied Statistical Modelling using GLMs 15
MT5762 Introductory Data Analysis 15
MT5763 Software for Data Analysis 15
MT5764 Advanced Data Analysis 15
MT5765 Medical Statistics 15
MT5766 Statistical Problem Solving 15
MT5767 Modelling Wildlife Population Dynamics 15
MT5842 Advanced Analytical Techniques 15
MT5846 Advanced Computational Techniques 15
MT5849 Geophysical Fluid Dynamics 15
MT5850 Advanced Solar Theory 15
MT5853 Spatial Models and Pattern Formation in Mathematical Biology 15
MT5854 Mathematical Oncology 15
MT5855 Stochastic Dynamics in Biology 15
MT5856 Calculus of Variations in Biological Modelling 15
MT5861 Advanced Combinatorics 15
MT5862 Discrete Geometry 15
MT5863 Semigroups 15
MT5864 Advanced Group Theory 15
MT5865 Measure Theory 15
MT5866 Probability Theory 15
MT5867 Mathematical Logic and Set Theory 15
MT5870 Hyperbolic Geometry 15
MT5876 Galois Theory 15
MT5877 Ergodic Theory and Dynamical Systems 15
MT5991 Professional Skills for Mathematical Scientists 30
ID4001 Communication and Teaching in Science 15
ID5059 Knowledge Discovery and Datamining 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above

Further requirements

Choose 120 credits in academic year

MMath Pure Mathematics Second, Third and Fourth Years:

15 credits: MT2502 (Second Year Only);
15 Further credits: MT2506, MT2507, MT2508 (Second Year Only);
105 credits: MT3501, MT3502, MT3503, MT3504, MT3505, MT4003, MT4004;
15 credits: MT3510, MT4111 or MT4112;
60 credits: MT5821, MT5823-MT5830, MT5836-MT5837, MT5861-MT5870, MT5876-MT5877, MT5590, MT5990;
30 credits: MT5599 (Fourth Year Only);
Further Credits: MT5000-MT5999, ID5059 to a total of 120 credits from this group;
Further credits: MT3000-MT5999, ID4001, ID5059 to a total of 360 across Second, Third and Fourth Years.

With the permission of the Adviser of Studies and any other school involved 30 credits may be substituted by credits from another Level or School.

A minimum of 330 credits must be achieved across Levels 3000, 4000 and 5000 with a minimum of 120 credits at Level 5000.

Please balance your choices across the academic year.

Entry to Honours

Students who meet the requirements specified above, and who meet all other programme requirements, will be given automatic entry into Honours programmes.

Qualified entry to Honours is not available for Integrated Masters programmes.

Students who do not meet the requirements for automatic entry to Honours in an Integrated Masters programme may be eligible for automatic or qualified entry to Honours in a related BSc programme.

See: www.st-andrews.ac.uk/media/teaching-and-learning/policies/honsentry.pdf )

MMath Honours

The general requirements are 600 credits over a period of normally five years (or four years with advanced standing credits) and in no circumstances more than six years or part-time equivalent, of which the final years form an approved Honours programme of at least 330 credits of which 120 credits are at 5000 level and at least a further 210 credits are at 3000 level and above.

MMath (Hons) Pure Mathematics (Fast Track): Third year
Code Module name Credits
View list Between 0 and 105 credits from Module List: MT3501 - MT3505, MT4003 - MT4004 AND
MT3501 Linear Mathematics 2 15
MT3502 Real Analysis 15
MT3503 Complex Analysis 15
MT3504 Differential Equations 15
MT3505 Algebra: Rings and Fields 15
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 20 credits from Module List: MT3510, MT4111 - MT4112 AND
MT4112 Computing in Mathematics 15
MT3510 Introduction to Mathematical Computing 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 60 credits from Module List: MT5821, MT5823 - MT5830, MT5836 - MT5837, MT5861-MT5870, MT5867-MT5877, MT5590, MT5990 AND
MT5861 Advanced Combinatorics 15
MT5862 Discrete Geometry 15
MT5863 Semigroups 15
MT5864 Advanced Group Theory 15
MT5865 Measure Theory 15
MT5870 Hyperbolic Geometry 15
MT5876 Galois Theory 15
MT5877 Ergodic Theory and Dynamical Systems 15
MT5590 Independent Study Module 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 30 credits from Module List: MT5000 - MT5999, ID5059 AND
MT5095 Dissertation for MSc Mathematical Biology 60
MT5097 Portfolio Dissertation for Statistical Ecology MSc Programme 60
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5590 Independent Study Module 15
MT5599 Advanced Project in Mathematics / Statistics 30
MT5731 Advanced Bayesian Inference 15
MT5751 Estimating Animal Abundance and Biodiversity 15
MT5758 Multivariate Analysis 15
MT5761 Applied Statistical Modelling using GLMs 15
MT5762 Introductory Data Analysis 15
MT5763 Software for Data Analysis 15
MT5764 Advanced Data Analysis 15
MT5765 Medical Statistics 15
MT5766 Statistical Problem Solving 15
MT5767 Modelling Wildlife Population Dynamics 15
MT5842 Advanced Analytical Techniques 15
MT5846 Advanced Computational Techniques 15
MT5849 Geophysical Fluid Dynamics 15
MT5850 Advanced Solar Theory 15
MT5853 Spatial Models and Pattern Formation in Mathematical Biology 15
MT5854 Mathematical Oncology 15
MT5855 Stochastic Dynamics in Biology 15
MT5856 Calculus of Variations in Biological Modelling 15
MT5861 Advanced Combinatorics 15
MT5862 Discrete Geometry 15
MT5863 Semigroups 15
MT5864 Advanced Group Theory 15
MT5865 Measure Theory 15
MT5866 Probability Theory 15
MT5867 Mathematical Logic and Set Theory 15
MT5870 Hyperbolic Geometry 15
MT5876 Galois Theory 15
MT5877 Ergodic Theory and Dynamical Systems 15
MT5991 Professional Skills for Mathematical Scientists 30
ID5059 Knowledge Discovery and Datamining 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 120 credits from Module List: MT3000-MT5999, ID4001, ID5059
MT3501 Linear Mathematics 2 15
MT3502 Real Analysis 15
MT3503 Complex Analysis 15
MT3504 Differential Equations 15
MT3505 Algebra: Rings and Fields 15
MT3506 Techniques of Applied Mathematics 15
MT3507 Mathematical Statistics 15
MT3508 Applied Statistics 15
MT3510 Introduction to Mathematical Computing 15
MT3802 Numerical Analysis 15
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
MT4005 Linear and Nonlinear Waves 15
MT4112 Computing in Mathematics 15
MT4113 Computing in Statistics 15
MT4501 Topics in the History of Mathematics 15
MT4507 Classical Mechanics 15
MT4508 Dynamical Systems 15
MT4509 Fluid Dynamics 15
MT4510 Solar Theory 15
MT4511 Asymptotic Methods 15
MT4512 Automata, Languages and Complexity 15
MT4513 Fractal Geometry 15
MT4514 Graph Theory 15
MT4515 Functional Analysis 15
MT4516 Finite Mathematics 15
MT4519 Number Theory 15
MT4526 Topology 15
MT4527 Time Series Analysis 15
MT4528 Markov Chains and Processes 15
MT4530 Population Genetics 15
MT4531 Bayesian Inference 15
MT4537 Spatial Statistics 15
MT4539 Quantitative Risk Management 15
MT4551 Financial Mathematics 15
MT4552 Population Dynamics Models in Mathematical Biology 15
MT4553 Theory of Electric and Magnetic Fields 15
MT4598 Enterprise Project in Mathematics / Statistics 15
MT4599 Project in Mathematics / Statistics 15
MT4606 Classical Statistical Inference 15
MT4608 Sampling Theory 15
MT4614 Design of Experiments 15
MT4794 Joint Dissertation (30cr) 30
MT4796 Joint Project (30cr) 30
MT5095 Dissertation for MSc Mathematical Biology 60
MT5097 Portfolio Dissertation for Statistical Ecology MSc Programme 60
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5590 Independent Study Module 15
MT5599 Advanced Project in Mathematics / Statistics 30
MT5731 Advanced Bayesian Inference 15
MT5751 Estimating Animal Abundance and Biodiversity 15
MT5758 Multivariate Analysis 15
MT5761 Applied Statistical Modelling using GLMs 15
MT5762 Introductory Data Analysis 15
MT5763 Software for Data Analysis 15
MT5764 Advanced Data Analysis 15
MT5765 Medical Statistics 15
MT5766 Statistical Problem Solving 15
MT5767 Modelling Wildlife Population Dynamics 15
MT5842 Advanced Analytical Techniques 15
MT5846 Advanced Computational Techniques 15
MT5849 Geophysical Fluid Dynamics 15
MT5850 Advanced Solar Theory 15
MT5853 Spatial Models and Pattern Formation in Mathematical Biology 15
MT5854 Mathematical Oncology 15
MT5855 Stochastic Dynamics in Biology 15
MT5856 Calculus of Variations in Biological Modelling 15
MT5861 Advanced Combinatorics 15
MT5862 Discrete Geometry 15
MT5863 Semigroups 15
MT5864 Advanced Group Theory 15
MT5865 Measure Theory 15
MT5866 Probability Theory 15
MT5867 Mathematical Logic and Set Theory 15
MT5870 Hyperbolic Geometry 15
MT5876 Galois Theory 15
MT5877 Ergodic Theory and Dynamical Systems 15
MT5991 Professional Skills for Mathematical Scientists 30
ID4001 Communication and Teaching in Science 15
ID5059 Knowledge Discovery and Datamining 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above

Further requirements

Choose 120 credits in academic year

MMath Pure Mathematics Second, Third and Fourth Years:

15 credits: MT2502 (Second Year Only);
15 Further credits: MT2506, MT2507, MT2508 (Second Year Only);
105 credits: MT3501, MT3502, MT3503, MT3504, MT3505, MT4003, MT4004;
15 credits: MT3510, MT4111 or MT4112;
60 credits: MT5821, MT5823-MT5830, MT5836-MT5837, MT5861-MT5870, MT5876-MT5877, MT5590, MT5990;
30 credits: MT5599 (Fourth Year Only);
Further Credits: MT5000-MT5999, ID5059 to a total of 120 credits from this group;
Further credits: MT3000-MT5999, ID4001, ID5059 to a total of 360 across Second, Third and Fourth Years.

With the permission of the Adviser of Studies and any other school involved 30 credits may be substituted by credits from another Level or School.'

A minimum of 330 credits must be achieved across Levels 3000, 4000 and 5000 with a minimum of 120 credits at Level 5000.

Please balance your choices across the academic year.
MMath (Hons) Pure Mathematics (Fast Track): Fourth year
Code Module name Credits
MT5599 Advanced Project in Mathematics / Statistics 30 AND
View list Between 0 and 105 credits from Module List: MT3501 - MT3505, MT4003 - MT4004 AND
MT3501 Linear Mathematics 2 15
MT3502 Real Analysis 15
MT3503 Complex Analysis 15
MT3504 Differential Equations 15
MT3505 Algebra: Rings and Fields 15
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 20 credits from Module List: MT3510, MT4111 - MT4112 AND
MT4112 Computing in Mathematics 15
MT3510 Introduction to Mathematical Computing 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 60 credits from Module List: MT5821, MT5823 - MT5830, MT5836 - MT5837, MT5861-MT5870, MT5867-MT5877, MT5590, MT5990 AND
MT5861 Advanced Combinatorics 15
MT5862 Discrete Geometry 15
MT5863 Semigroups 15
MT5864 Advanced Group Theory 15
MT5865 Measure Theory 15
MT5870 Hyperbolic Geometry 15
MT5876 Galois Theory 15
MT5877 Ergodic Theory and Dynamical Systems 15
MT5590 Independent Study Module 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 30 credits from Module List: MT5000 - MT5999, ID5059 AND
MT5095 Dissertation for MSc Mathematical Biology 60
MT5097 Portfolio Dissertation for Statistical Ecology MSc Programme 60
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5590 Independent Study Module 15
MT5599 Advanced Project in Mathematics / Statistics 30
MT5731 Advanced Bayesian Inference 15
MT5751 Estimating Animal Abundance and Biodiversity 15
MT5758 Multivariate Analysis 15
MT5761 Applied Statistical Modelling using GLMs 15
MT5762 Introductory Data Analysis 15
MT5763 Software for Data Analysis 15
MT5764 Advanced Data Analysis 15
MT5765 Medical Statistics 15
MT5766 Statistical Problem Solving 15
MT5767 Modelling Wildlife Population Dynamics 15
MT5842 Advanced Analytical Techniques 15
MT5846 Advanced Computational Techniques 15
MT5849 Geophysical Fluid Dynamics 15
MT5850 Advanced Solar Theory 15
MT5853 Spatial Models and Pattern Formation in Mathematical Biology 15
MT5854 Mathematical Oncology 15
MT5855 Stochastic Dynamics in Biology 15
MT5856 Calculus of Variations in Biological Modelling 15
MT5861 Advanced Combinatorics 15
MT5862 Discrete Geometry 15
MT5863 Semigroups 15
MT5864 Advanced Group Theory 15
MT5865 Measure Theory 15
MT5866 Probability Theory 15
MT5867 Mathematical Logic and Set Theory 15
MT5870 Hyperbolic Geometry 15
MT5876 Galois Theory 15
MT5877 Ergodic Theory and Dynamical Systems 15
MT5991 Professional Skills for Mathematical Scientists 30
ID5059 Knowledge Discovery and Datamining 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above
View list Between 0 and 90 credits from Module List: MT5000 - MT5999, ID5059
MT5095 Dissertation for MSc Mathematical Biology 60
MT5097 Portfolio Dissertation for Statistical Ecology MSc Programme 60
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5590 Independent Study Module 15
MT5599 Advanced Project in Mathematics / Statistics 30
MT5731 Advanced Bayesian Inference 15
MT5751 Estimating Animal Abundance and Biodiversity 15
MT5758 Multivariate Analysis 15
MT5761 Applied Statistical Modelling using GLMs 15
MT5762 Introductory Data Analysis 15
MT5763 Software for Data Analysis 15
MT5764 Advanced Data Analysis 15
MT5765 Medical Statistics 15
MT5766 Statistical Problem Solving 15
MT5767 Modelling Wildlife Population Dynamics 15
MT5842 Advanced Analytical Techniques 15
MT5846 Advanced Computational Techniques 15
MT5849 Geophysical Fluid Dynamics 15
MT5850 Advanced Solar Theory 15
MT5853 Spatial Models and Pattern Formation in Mathematical Biology 15
MT5854 Mathematical Oncology 15
MT5855 Stochastic Dynamics in Biology 15
MT5856 Calculus of Variations in Biological Modelling 15
MT5861 Advanced Combinatorics 15
MT5862 Discrete Geometry 15
MT5863 Semigroups 15
MT5864 Advanced Group Theory 15
MT5865 Measure Theory 15
MT5866 Probability Theory 15
MT5867 Mathematical Logic and Set Theory 15
MT5870 Hyperbolic Geometry 15
MT5876 Galois Theory 15
MT5877 Ergodic Theory and Dynamical Systems 15
MT5991 Professional Skills for Mathematical Scientists 30
ID5059 Knowledge Discovery and Datamining 15
Note:
- Not all modules are available in every academic year and/or semester
- Individual modules may have requisites to satisfy to be eligible to select them

For further details, see the module catalogue entry for each individual module above

Further requirements

Choose 120 credits in academic year

MMath Pure Mathematics Second, Third and Fourth Years:

15 credits: MT2502 (Second Year Only);
15 Further credits: MT2506, MT2507, MT2508 (Second Year Only);
105 credits: MT3501, MT3502, MT3503, MT3504, MT3505, MT4003, MT4004;
15 credits: MT3510, MT4111 or MT4112;
60 credits: MT5821, MT5823-MT5830, MT5836-MT5837, MT5861-MT5870, MT5876-MT5877, MT5590, MT5990;
30 credits: MT5599 (Fourth Year Only);
Further Credits: MT5000-MT5999, ID5059 to a total of 120 credits from this group;
Further credits: MT3000-MT5999, ID4001, ID5059 to a total of 360 across Second, Third and Fourth Years.

With the permission of the Adviser of Studies and any other school involved 30 credits may be substituted by credits from another Level or School.'

A minimum of 330 credits must be achieved across Levels 3000, 4000 and 5000 with a minimum of 120 credits at Level 5000.

Please balance your choices across the academic year.

Study abroad

In the case of students who spend part of the Honours programme on a recognised Study Abroad scheme, the Programme Requirements will be amended to take into account overseas courses which are approved by the relevant St Andrews School in the Learning Agreement (see www.st-andrews.ac.uk/students/study-abroad/academic ).