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Master in Physics (Honours) Mathematics and Theoretical Physics

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MPhys Mathematics and Theoretical Physics: First year
Code Module name Credits
PH1011 Physics 1A 20 AND
PH1012 Physics 1B 20 AND
MT1002 Mathematics 20 AND
Remaining credits from Level 1000 options

Further requirements

Choose 120 credits in the academic year

Students without the prequisite for MT1002 will take MT1001 in Semester 1.
MPhys Mathematics and Theoretical Physics: Second year
Code Module name Credits
^ PH2011 Physics 2A 30 AND
^ PH2012 Physics 2B 30 AND
~ MT2501 Linear Mathematics 15 AND
~ MT2503 Multivariate Calculus 15 AND
(( ~ MT2502 Analysis 15 AND
~ MT2505 Abstract Algebra 15 ) OR
( ~ MT2506 Vector Calculus 15 AND
~ MT2507 Mathematical Modelling 15 ))

Further requirements

Choose 120 credits in the academic year
Choose a minimum of 80 Level 2000 credits

Automatic entry to Honours requires

  • pass and have an average grade 15 or better in modules marked ^
  • pass and have an average grade 15 or better in modules marked ~

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 )

MPhys Mathematics and Theoretical Physics: Third year
Code Module name Credits
( MT3501 Linear Mathematics 2 15 AND
PH3007 Electromagnetism 15 AND
PH3061 Quantum Mechanics 1 10 AND
PH3062 Quantum Mechanics 2 10 AND
PH3080 Computational Physics 10 AND
PH4038 Lagrangian and Hamiltonian Dynamics 15 AND
( View list 45 credits from Module List: MT3502, MT3505, PH3081 OR
MT3502 Real Analysis 15
MT3505 Algebra: Rings and Fields 15
PH3081 Mathematics for Physicists 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: MT3504, MT3503 OR
MT3504 Differential Equations 15
MT3503 Complex 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 30 credits from Module List: MT3504, MT3506 ) AND
MT3504 Differential Equations 15
MT3506 Techniques of Applied Mathematics 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: MT3000 - MT4999, PH3000 - PH3999
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
PH3007 Electromagnetism 15
PH3012 Thermal and Statistical Physics 15
PH3014 Transferable Skills for Physicists 15
PH3061 Quantum Mechanics 1 10
PH3062 Quantum Mechanics 2 10
PH3074 Electronics 15
PH3080 Computational Physics 10
PH3081 Mathematics for Physicists 15
PH3082 Mathematics for Chemistry / Physics 20
PH3101 Physics Laboratory 1 15
PH4026 Signals and Information 15
PH4027 Optoelectronics and Nonlinear Optics 15
PH4028 Advanced Quantum Mechanics 15
PH4031 Fluids 15
PH4032 Special Relativity and Fields 15
PH4034 Laser Physics 1 15
PH4035 Principles of Optics 15
PH4036 Physics of Music 15
PH4038 Lagrangian and Hamiltonian Dynamics 15
PH4039 Introduction to Condensed Matter Physics 15
PH4040 Nuclear and Particle Physics with Advanced Skills 15
PH4041 Atomic, Nuclear, and Particle Physics 15
PH4042 Concepts in Atomic Physics and Magnetic Resonance 15
PH4044 Advanced Condensed Matter Physics 15
PH4105 Physics Laboratory 2 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

Students who took MT2502 and MT2505 in Year 2 must take MT3502, MT3505 and PH3081
Students who took MT2506 and MT2507 in Year 2 must take MT3504 and (MT3503 or MT3506)
MPhys Mathematics and Theoretical Physics: Fourth year
Code Module name Credits
PH3012 Thermal and Statistical Physics 15 AND
PH4028 Advanced Quantum Mechanics 15 AND
PH4032 Special Relativity and Fields 15 AND
PH4039 Introduction to Condensed Matter Physics 15 AND
PH4040 Nuclear and Particle Physics with Advanced Skills 15 AND
View list 45 credits from Module List: AS3000 - AS4999, MT3000 - MT4999, PH3000 - PH4999, ID4001 AND
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
PH3007 Electromagnetism 15
PH3012 Thermal and Statistical Physics 15
PH3014 Transferable Skills for Physicists 15
PH3061 Quantum Mechanics 1 10
PH3062 Quantum Mechanics 2 10
PH3074 Electronics 15
PH3080 Computational Physics 10
PH3081 Mathematics for Physicists 15
PH3082 Mathematics for Chemistry / Physics 20
PH3101 Physics Laboratory 1 15
PH4026 Signals and Information 15
PH4027 Optoelectronics and Nonlinear Optics 15
PH4028 Advanced Quantum Mechanics 15
PH4031 Fluids 15
PH4032 Special Relativity and Fields 15
PH4034 Laser Physics 1 15
PH4035 Principles of Optics 15
PH4036 Physics of Music 15
PH4038 Lagrangian and Hamiltonian Dynamics 15
PH4039 Introduction to Condensed Matter Physics 15
PH4040 Nuclear and Particle Physics with Advanced Skills 15
PH4041 Atomic, Nuclear, and Particle Physics 15
PH4042 Concepts in Atomic Physics and Magnetic Resonance 15
PH4044 Advanced Condensed Matter Physics 15
PH4105 Physics Laboratory 2 15
AS3013 Computational Astrophysics 15
AS4010 Extragalactic Astronomy 15
AS4011 The Physics of Nebulae and Stars 1 15
AS4012 The Physics of Nebulae and Stars 2 15
AS4015 Gravitational and Accretion Physics 15
AS4025 Observational Astrophysics 15
AS4103 Astrophysics Project (BSc) 30
ID4001 Communication and Teaching in Science 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
MPhys Mathematics and Theoretical Physics: Fifth year
Code Module name Credits
( MT5999 Advanced Project in Mathematics / Statistics 40 OR
PH5104 Project in Theoretical Physics (Mathematics and Theoretical Physics Students) 65 ) AND
View list At least 15 credits from Module List: PH5002 - PH5004, PH5011 - PH5012 AND
PH5002 Foundations of Quantum Mechanics 15
PH5003 Group Theory 15
PH5004 Quantum Field Theory 15
PH5011 General Relativity 15
PH5012 Quantum Optics 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 At least 40 credits from Module List: MT5000 - MT5899
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
MT5754 Mini Project 1 20
MT5755 Mini Project 2 20
MT5756 Data Analysis 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
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

Further credits if necessary to a total of at least 145 acroiss Third, Fourth and Fifth years from 3000-, 4000- and 5000-level MT modules (except that 30 further credits from MT2000 - MT2999 may be substituted).
Further credits if necessary to a total of at least 145 across Third, Fourth and Fifth Years from 3000 - , 4000 - and 5000 - level PH and AS modules (except that 15 further credits from a physics-based ID4001 may be substituted).
In total, at least 330 credits must be achieved at 3000, 4000 and 5000 level with at least 120 of these at 5000 level.

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 ).