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Master in Mathematics (Honours) Mathematics

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Mathematics M.Math. (Fast Track) single: First year
Code Module name Credits
MT1002 Mathematics 20 AND
MT1010 Topics in Mathematics: Problem-solving techniques 10 AND
View list 45 credits from Module List: MT2501, MT2503 - MT2504 AND
MT2501 Linear Mathematics 15
MT2503 Multivariate Calculus 15
MT2504 Combinatorics and Probability 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 45 credits from Module List: MT2505 - MT2508 AND
MT2505 Abstract Algebra 15
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
Remaining credits from Levels 1000 and 2000 options

Further requirements

Choose 120 credits in the academic year

Automatic Entry to Honours
Average of the best four grades of the six of MT2501–MT2508 taken being 15 or higher and no more than two grades of the six of MT2501–MT2508 taken below 11.
Mathematics M.Math. (Fast Track) single: Second year
Code Module name Credits
MT2502 Analysis 15 AND
View list 15 credits from Module List: MT2505 - MT2508 AND
MT2505 Abstract Algebra 15
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 60 credits from Module List:MT3501 - MT3504 AND
MT3501 Linear Mathematics 2 15
MT3502 Real Analysis 15
MT3503 Complex Analysis 15
MT3504 Differential Equations 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 15 credits from Module List: MT3505 - MT3508 AND
MT3505 Algebra: Rings and Fields 15
MT3506 Techniques of Applied Mathematics 15
MT3507 Mathematical Statistics 15
MT3508 Applied Statistics 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: MT4003 - MT4004, MT4509 - MT4510, MT4606 AND
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
MT4509 Fluid Dynamics 15
MT4510 Solar Theory 15
MT4606 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 80 credits from Module List: MT4111 - MT4113, MT5611 AND
MT4111 Symbolic Computation 15
MT4112 Computing in Mathematics 15
MT4113 Computing in Statistics 15
MT5611 Advanced Symbolic Computation 20
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: MT5751-5753,MT5757-5758,MT5802,MT5806,MT5809-5810,MT5821,MT5823-MT5830,MT5836,MT5852,MT5990,ID5059 AND
MT5751 Estimating Animal Abundance 15
MT5752 Modelling Ecological Dynamics 20
MT5753 Statistical Modelling 20
MT5757 Advanced Data Analysis 20
MT5758 Applied Multivariate Analysis 15
MT5802 Advanced Analytical Techniques 20
MT5806 Advanced Computational Techniques 20
MT5809 Advanced Fluid Dynamics 20
MT5810 Advanced Solar Theory 20
MT5821 Advanced Combinatorics 20
MT5823 Semigroups 20
MT5824 Topics in Groups 20
MT5825 Measure and Ergodic Theory 20
MT5827 Lie Algebras 20
MT5828 Hyperbolic Geometry 20
MT5829 Group Rings 20
MT5830 Topics in Geometry and Analysis 20
MT5836 Galois Theory 20
MT5852 Mathematical Biology 2 20
MT5990 Independent Study Module 20
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 20 credits from Module List: MT5000 - MT5753, MT5757 - MT5999, ID5059 AND
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5611 Advanced Symbolic Computation 20
MT5612 Advanced Computing in Mathematics 20
MT5613 Advanced Topics in the History of Mathematics 20
MT5701 Advanced Statistical Inference 20
MT5751 Estimating Animal Abundance 15
MT5752 Modelling Ecological Dynamics 20
MT5753 Statistical Modelling 20
MT5757 Advanced Data Analysis 20
MT5758 Applied Multivariate Analysis 15
MT5759 Knowledge Discovery and Datamining 15
MT5802 Advanced Analytical Techniques 20
MT5806 Advanced Computational Techniques 20
MT5809 Advanced Fluid Dynamics 20
MT5810 Advanced Solar Theory 20
MT5813 Advanced Fractal Geometry 20
MT5821 Advanced Combinatorics 20
MT5823 Semigroups 20
MT5824 Topics in Groups 20
MT5825 Measure and Ergodic Theory 20
MT5827 Lie Algebras 20
MT5828 Hyperbolic Geometry 20
MT5829 Group Rings 20
MT5830 Topics in Geometry and Analysis 20
MT5831 Advanced Bayesian Inference 20
MT5836 Galois Theory 20
MT5837 Ergodic Theory and Dynamical Systems 20
MT5852 Mathematical Biology 2 20
MT5990 Independent Study Module 20
MT5991 Professional Skills for Mathematical Scientists 30
MT5999 Advanced Project in Mathematics / Statistics 40
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 - MT4999 (exc MT4599, MT4794 - MT4797), MT5000 - MT5753, MT5757 - MT5999, 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
MT3802 Numerical Analysis 15
MT3832 Mathematical Programming 15
MT3852 Automata, Languages and Complexity 15
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
MT4005 Linear and Nonlinear Waves 15
MT4111 Symbolic Computation 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
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
MT4536 Stochastic and Spatial Processes 15
MT4537 Spatial Processes 15
MT4539 Quantitative Risk Management 15
MT4551 Financial Mathematics 15
MT4552 Mathematical Biology 1 15
MT4553 Theory of Electric and Magnetic Fields 15
MT4606 Statistical Inference 15
MT4607 Generalised Linear Models and Data Analysis 15
MT4608 Sampling Theory 15
MT4609 Multivariate Analysis 15
MT4613 Statistical Research in Practice 15
MT4614 Design of Experiments 15
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5611 Advanced Symbolic Computation 20
MT5612 Advanced Computing in Mathematics 20
MT5613 Advanced Topics in the History of Mathematics 20
MT5701 Advanced Statistical Inference 20
MT5751 Estimating Animal Abundance 15
MT5752 Modelling Ecological Dynamics 20
MT5753 Statistical Modelling 20
MT5757 Advanced Data Analysis 20
MT5758 Applied Multivariate Analysis 15
MT5759 Knowledge Discovery and Datamining 15
MT5802 Advanced Analytical Techniques 20
MT5806 Advanced Computational Techniques 20
MT5809 Advanced Fluid Dynamics 20
MT5810 Advanced Solar Theory 20
MT5813 Advanced Fractal Geometry 20
MT5821 Advanced Combinatorics 20
MT5823 Semigroups 20
MT5824 Topics in Groups 20
MT5825 Measure and Ergodic Theory 20
MT5827 Lie Algebras 20
MT5828 Hyperbolic Geometry 20
MT5829 Group Rings 20
MT5830 Topics in Geometry and Analysis 20
MT5831 Advanced Bayesian Inference 20
MT5836 Galois Theory 20
MT5837 Ergodic Theory and Dynamical Systems 20
MT5852 Mathematical Biology 2 20
MT5990 Independent Study Module 20
MT5991 Professional Skills for Mathematical Scientists 30
MT5999 Advanced Project in Mathematics / Statistics 40
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 Mathematics (Fast Track) Second, Third and Fourth Year Programme Requirements:

15 credits: MT2502 (Second Year Only);
15 Further Credits: MT2505, MT2506, MT2507, MT2508 (Second Year Only);
60 credits: MT3501, MT3502, MT3503, MT3504;
15 Credits: MT3505, MT3506, MT3507, MT3508;
30 credits in two of: MT4003, MT4004, MT4509, MT4510, MT4606;
At least 15 Credits: MT3607, MT4111, MT4112, MT4113, MT5611;
60 credits: MT5751-MT5752, MT5757, MT5758, MT5802, MT5806, MT5809, MT5810, MT5821, MT5823-MT5830, MT5836, MT5852, MT5990, ID5059;
40 credits: MT5999 (Fifth Year Only);
20 Further Credits from: MT5000-MT5753, MT5757-MT5999, ID5059;Further Credits from: MT3000 - MT5753, MT5757-MT5999, 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 in Second or Third Year 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 attain an average of grade 11.0 or above at the first sitting in the requisite 2000-level modules and who meet all other programme requirements will be given automatic offers of entry into Honours programmes*.*Apart from students on Integrated Masters degrees. Students permitted automatic entry to Honours will only be permitted to trail one module to a maximum of 30 sub-honours credits into Honours.

Some Schools permit qualified entry to Honours (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.

Mathematics M.Math. (Fast Track) single: Third year
Code Module name Credits
View list Between 0 and 60 credits from Module List:MT3501 - MT3504 AND
MT3501 Linear Mathematics 2 15
MT3502 Real Analysis 15
MT3503 Complex Analysis 15
MT3504 Differential Equations 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 15 credits from Module List: MT3505 - MT3508 AND
MT3505 Algebra: Rings and Fields 15
MT3506 Techniques of Applied Mathematics 15
MT3507 Mathematical Statistics 15
MT3508 Applied Statistics 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: MT4003 - MT4004, MT4509 - MT4510, MT4606 AND
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
MT4509 Fluid Dynamics 15
MT4510 Solar Theory 15
MT4606 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 80 credits from Module List: MT4111 - MT4113, MT5611 AND
MT4111 Symbolic Computation 15
MT4112 Computing in Mathematics 15
MT4113 Computing in Statistics 15
MT5611 Advanced Symbolic Computation 20
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: MT5751-5753,MT5757-5758,MT5802,MT5806,MT5809-5810,MT5821,MT5823-MT5830,MT5836,MT5852,MT5990,ID5059 AND
MT5751 Estimating Animal Abundance 15
MT5752 Modelling Ecological Dynamics 20
MT5753 Statistical Modelling 20
MT5757 Advanced Data Analysis 20
MT5758 Applied Multivariate Analysis 15
MT5802 Advanced Analytical Techniques 20
MT5806 Advanced Computational Techniques 20
MT5809 Advanced Fluid Dynamics 20
MT5810 Advanced Solar Theory 20
MT5821 Advanced Combinatorics 20
MT5823 Semigroups 20
MT5824 Topics in Groups 20
MT5825 Measure and Ergodic Theory 20
MT5827 Lie Algebras 20
MT5828 Hyperbolic Geometry 20
MT5829 Group Rings 20
MT5830 Topics in Geometry and Analysis 20
MT5836 Galois Theory 20
MT5852 Mathematical Biology 2 20
MT5990 Independent Study Module 20
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 20 credits from Module List: MT5000 - MT5753, MT5757 - MT5999, ID5059 AND
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5611 Advanced Symbolic Computation 20
MT5612 Advanced Computing in Mathematics 20
MT5613 Advanced Topics in the History of Mathematics 20
MT5701 Advanced Statistical Inference 20
MT5751 Estimating Animal Abundance 15
MT5752 Modelling Ecological Dynamics 20
MT5753 Statistical Modelling 20
MT5757 Advanced Data Analysis 20
MT5758 Applied Multivariate Analysis 15
MT5759 Knowledge Discovery and Datamining 15
MT5802 Advanced Analytical Techniques 20
MT5806 Advanced Computational Techniques 20
MT5809 Advanced Fluid Dynamics 20
MT5810 Advanced Solar Theory 20
MT5813 Advanced Fractal Geometry 20
MT5821 Advanced Combinatorics 20
MT5823 Semigroups 20
MT5824 Topics in Groups 20
MT5825 Measure and Ergodic Theory 20
MT5827 Lie Algebras 20
MT5828 Hyperbolic Geometry 20
MT5829 Group Rings 20
MT5830 Topics in Geometry and Analysis 20
MT5831 Advanced Bayesian Inference 20
MT5836 Galois Theory 20
MT5837 Ergodic Theory and Dynamical Systems 20
MT5852 Mathematical Biology 2 20
MT5990 Independent Study Module 20
MT5991 Professional Skills for Mathematical Scientists 30
MT5999 Advanced Project in Mathematics / Statistics 40
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 - MT4999 (exc MT4599, MT4794 - MT4797), MT5000 - MT5753, MT5757 - MT5999, 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
MT3802 Numerical Analysis 15
MT3832 Mathematical Programming 15
MT3852 Automata, Languages and Complexity 15
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
MT4005 Linear and Nonlinear Waves 15
MT4111 Symbolic Computation 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
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
MT4536 Stochastic and Spatial Processes 15
MT4537 Spatial Processes 15
MT4539 Quantitative Risk Management 15
MT4551 Financial Mathematics 15
MT4552 Mathematical Biology 1 15
MT4553 Theory of Electric and Magnetic Fields 15
MT4606 Statistical Inference 15
MT4607 Generalised Linear Models and Data Analysis 15
MT4608 Sampling Theory 15
MT4609 Multivariate Analysis 15
MT4613 Statistical Research in Practice 15
MT4614 Design of Experiments 15
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5611 Advanced Symbolic Computation 20
MT5612 Advanced Computing in Mathematics 20
MT5613 Advanced Topics in the History of Mathematics 20
MT5701 Advanced Statistical Inference 20
MT5751 Estimating Animal Abundance 15
MT5752 Modelling Ecological Dynamics 20
MT5753 Statistical Modelling 20
MT5757 Advanced Data Analysis 20
MT5758 Applied Multivariate Analysis 15
MT5759 Knowledge Discovery and Datamining 15
MT5802 Advanced Analytical Techniques 20
MT5806 Advanced Computational Techniques 20
MT5809 Advanced Fluid Dynamics 20
MT5810 Advanced Solar Theory 20
MT5813 Advanced Fractal Geometry 20
MT5821 Advanced Combinatorics 20
MT5823 Semigroups 20
MT5824 Topics in Groups 20
MT5825 Measure and Ergodic Theory 20
MT5827 Lie Algebras 20
MT5828 Hyperbolic Geometry 20
MT5829 Group Rings 20
MT5830 Topics in Geometry and Analysis 20
MT5831 Advanced Bayesian Inference 20
MT5836 Galois Theory 20
MT5837 Ergodic Theory and Dynamical Systems 20
MT5852 Mathematical Biology 2 20
MT5990 Independent Study Module 20
MT5991 Professional Skills for Mathematical Scientists 30
MT5999 Advanced Project in Mathematics / Statistics 40
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 Mathematics (Fast Track) Second, Third and Fourth Year Programme Requirements:

15 credits: MT2502 (Second Year Only);
15 Further Credits: MT2505, MT2506, MT2507, MT2508 (Second Year Only);
60 credits: MT3501, MT3502, MT3503, MT3504;
15 Credits: MT3505, MT3506, MT3507, MT3508;
30 credits in two of: MT4003, MT4004, MT4509, MT4510, MT4606;
At least 15 Credits: MT3607, MT4111, MT4112, MT4113, MT5611;
60 credits: MT5751-MT5752, MT5757, MT5758, MT5802, MT5806, MT5809, MT5810, MT5821, MT5823-MT5830, MT5836, MT5852, MT5990, ID5059;
40 credits: MT5999 (Fifth Year Only);
20 Further Credits from: MT5000-MT5753, MT5757-MT5999, ID5059;Further Credits from: MT3000 - MT5753, MT5757-MT5999, 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 in Second or Third Year 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.
Mathematics M.Math. (Fast Track) single: Fourth year
Code Module name Credits
MT5999 Advanced Project in Mathematics / Statistics 40 AND
View list Between 0 and 60 credits from Module List:MT3501 - MT3504 AND
MT3501 Linear Mathematics 2 15
MT3502 Real Analysis 15
MT3503 Complex Analysis 15
MT3504 Differential Equations 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 15 credits from Module List: MT3505 - MT3508 AND
MT3505 Algebra: Rings and Fields 15
MT3506 Techniques of Applied Mathematics 15
MT3507 Mathematical Statistics 15
MT3508 Applied Statistics 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: MT4003 - MT4004, MT4509 - MT4510, MT4606 AND
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
MT4509 Fluid Dynamics 15
MT4510 Solar Theory 15
MT4606 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 80 credits from Module List: MT4111 - MT4113, MT5611 AND
MT4111 Symbolic Computation 15
MT4112 Computing in Mathematics 15
MT4113 Computing in Statistics 15
MT5611 Advanced Symbolic Computation 20
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: MT5751-5753,MT5757-5758,MT5802,MT5806,MT5809-5810,MT5821,MT5823-MT5830,MT5836,MT5852,MT5990,ID5059 AND
MT5751 Estimating Animal Abundance 15
MT5752 Modelling Ecological Dynamics 20
MT5753 Statistical Modelling 20
MT5757 Advanced Data Analysis 20
MT5758 Applied Multivariate Analysis 15
MT5802 Advanced Analytical Techniques 20
MT5806 Advanced Computational Techniques 20
MT5809 Advanced Fluid Dynamics 20
MT5810 Advanced Solar Theory 20
MT5821 Advanced Combinatorics 20
MT5823 Semigroups 20
MT5824 Topics in Groups 20
MT5825 Measure and Ergodic Theory 20
MT5827 Lie Algebras 20
MT5828 Hyperbolic Geometry 20
MT5829 Group Rings 20
MT5830 Topics in Geometry and Analysis 20
MT5836 Galois Theory 20
MT5852 Mathematical Biology 2 20
MT5990 Independent Study Module 20
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 20 credits from Module List: MT5000 - MT5753, MT5757 - MT5999, ID5059 AND
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5611 Advanced Symbolic Computation 20
MT5612 Advanced Computing in Mathematics 20
MT5613 Advanced Topics in the History of Mathematics 20
MT5701 Advanced Statistical Inference 20
MT5751 Estimating Animal Abundance 15
MT5752 Modelling Ecological Dynamics 20
MT5753 Statistical Modelling 20
MT5757 Advanced Data Analysis 20
MT5758 Applied Multivariate Analysis 15
MT5759 Knowledge Discovery and Datamining 15
MT5802 Advanced Analytical Techniques 20
MT5806 Advanced Computational Techniques 20
MT5809 Advanced Fluid Dynamics 20
MT5810 Advanced Solar Theory 20
MT5813 Advanced Fractal Geometry 20
MT5821 Advanced Combinatorics 20
MT5823 Semigroups 20
MT5824 Topics in Groups 20
MT5825 Measure and Ergodic Theory 20
MT5827 Lie Algebras 20
MT5828 Hyperbolic Geometry 20
MT5829 Group Rings 20
MT5830 Topics in Geometry and Analysis 20
MT5831 Advanced Bayesian Inference 20
MT5836 Galois Theory 20
MT5837 Ergodic Theory and Dynamical Systems 20
MT5852 Mathematical Biology 2 20
MT5990 Independent Study Module 20
MT5991 Professional Skills for Mathematical Scientists 30
MT5999 Advanced Project in Mathematics / Statistics 40
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 80 credits from Module List: MT3000 - MT4999 (exc MT4599, MT4794 - MT4797), MT5000 - MT5753, MT5757 - MT5999, 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
MT3802 Numerical Analysis 15
MT3832 Mathematical Programming 15
MT3852 Automata, Languages and Complexity 15
MT4003 Groups 15
MT4004 Real and Abstract Analysis 15
MT4005 Linear and Nonlinear Waves 15
MT4111 Symbolic Computation 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
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
MT4536 Stochastic and Spatial Processes 15
MT4537 Spatial Processes 15
MT4539 Quantitative Risk Management 15
MT4551 Financial Mathematics 15
MT4552 Mathematical Biology 1 15
MT4553 Theory of Electric and Magnetic Fields 15
MT4606 Statistical Inference 15
MT4607 Generalised Linear Models and Data Analysis 15
MT4608 Sampling Theory 15
MT4609 Multivariate Analysis 15
MT4613 Statistical Research in Practice 15
MT4614 Design of Experiments 15
MT5098 Group Dissertation for MSc Programme/s 60
MT5099 Dissertation for MSc Programme/s 60
MT5611 Advanced Symbolic Computation 20
MT5612 Advanced Computing in Mathematics 20
MT5613 Advanced Topics in the History of Mathematics 20
MT5701 Advanced Statistical Inference 20
MT5751 Estimating Animal Abundance 15
MT5752 Modelling Ecological Dynamics 20
MT5753 Statistical Modelling 20
MT5757 Advanced Data Analysis 20
MT5758 Applied Multivariate Analysis 15
MT5759 Knowledge Discovery and Datamining 15
MT5802 Advanced Analytical Techniques 20
MT5806 Advanced Computational Techniques 20
MT5809 Advanced Fluid Dynamics 20
MT5810 Advanced Solar Theory 20
MT5813 Advanced Fractal Geometry 20
MT5821 Advanced Combinatorics 20
MT5823 Semigroups 20
MT5824 Topics in Groups 20
MT5825 Measure and Ergodic Theory 20
MT5827 Lie Algebras 20
MT5828 Hyperbolic Geometry 20
MT5829 Group Rings 20
MT5830 Topics in Geometry and Analysis 20
MT5831 Advanced Bayesian Inference 20
MT5836 Galois Theory 20
MT5837 Ergodic Theory and Dynamical Systems 20
MT5852 Mathematical Biology 2 20
MT5990 Independent Study Module 20
MT5991 Professional Skills for Mathematical Scientists 30
MT5999 Advanced Project in Mathematics / Statistics 40
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 Mathematics (Fast Track) Second, Third and Fourth Year Programme Requirements:

15 credits: MT2502 (Second Year Only);
15 Further Credits: MT2505, MT2506, MT2507, MT2508 (Second Year Only);
60 credits: MT3501, MT3502, MT3503, MT3504;
15 Credits: MT3505, MT3506, MT3507, MT3508;
30 credits in two of: MT4003, MT4004, MT4509, MT4510, MT4606;
At least 15 Credits: MT3607, MT4111, MT4112, MT4113, MT5611;
60 credits: MT5751-MT5752, MT5757, MT5758, MT5802, MT5806, MT5809, MT5810, MT5821, MT5823-MT5830, MT5836, MT5852, MT5990, ID5059;
40 credits: MT5999 (Fifth Year Only);
20 Further Credits from: MT5000-MT5753, MT5757-MT5999, ID5059;Further Credits from: MT3000 - MT5753, MT5757-MT5999, 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 in Second or Third Year 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/studyabroad/outgoingstudents/AcademicInformation ).