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2017/18 Undergraduate Programme Catalogue

MMath, BSc Mathematics (Single degree scheme)

Programme code:MMBS-MATHUCAS code:G101
Duration:4 Years Method of Attendance: Full Time
Programme manager:Professor Jonathan Partington Contact address:j.r.partington@leeds.ac.uk

Total credits: 480

Entry requirements:

Typical offers are AAA with A in Mathematics or A*AB with A* in Mathematics. Other alternative offers are available.

School/Unit responsible for the parenting of students and programme:

School of Mathematics

Examination board through which the programme will be considered:

School of Mathematics

Relevant QAA Subject Benchmark Groups:

Mathematics, Statistics and Operational Research

Programme specification:

This Integrated Masters programme is for students who have entered University in 2007 or after.

The programme will aim to:

- introduce students to the major branches of mathematics;
- meet the needs of students with varied mathematical backgrounds and with different aspirations within mathematics;
- enable the student to appreciate the coherence, logical structure, and broad applicability of mathematics;
- impart an awareness of the values of research and scholarship in mathematics;
- accustom students to the use of tools, including libraries and computers, that are available to mathematicians;
- provide a thorough training in the intellectual skills and advanced techniques of modern mathematics;
- develop the ability of students to abstract and generalize, to model various phenomena, and to interpret numerical data;
- enable future mathematicians to develop the skills associated with problem solving, rigorous argument and communication;
- educate new mathematicians to meet the needs of employers, including those in industry, finance, education and the public services;
- broaden and deepen the mathematical background of students;
- prepare students to work in fields where specific and broadly based advanced mathematical knowledge is required;
- enable students to embark on research in some area of mathematics or statistics;
- give students the opportunity to experience a wide and deep mathematics curriculum;
- give students the chance to undertake a substantial project.


Year1 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students must enrol on exactly 120 or 125 credits in each academic year.

Compulsory modules:

Students will be required to take the following compulsory modules.

MATH1010Mathematics 125 creditsSemester 1 (Sep to Jan)
MATH1012Mathematics 225 creditsSemester 2 (Jan to Jun)
MATH1025Number Systems15 creditsSemester 1 (Sep to Jan)
MATH1026Sets, Sequences and Series15 creditsSemester 2 (Jan to Jun)
MATH1710Probability and Statistics I10 creditsSemester 1 (Sep to Jan)
MATH1712Probability and Statistics II10 creditsSemester 2 (Jan to Jun)

Optional modules:

Candidates may take up to 25 credits from the optional modules below:

MATH1225Introduction to Geometry10 creditsSemester 1 (Sep to Jan)
MATH1510Financial Mathematics 115 creditsSemester 2 (Jan to Jun)

In all cases the choice of modules is subject to the approval of the Head of the School of Mathematics.

Discovery modules:

Candidates may study up to 20 credits of level 1 discovery modules. Choices are subject to the approval of the Head of the School of Mathematics.


Year2 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students must enrol on exactly 120 or 125 credits in each academic year.

Students must achieve an average of at least 58 (on the 0 to 100 scale) in their second year to progress to the third year of the MMath, BSc programme. Students with lower averages normally have to switch to the BSc Mathematics programme.

Compulsory modules:

Students are required to study the following compulsory modules.

MATH2017Real Analysis15 creditsSemester 2 (Jan to Jun)
MATH2022Groups and Vector Spaces15 creditsSemester 1 (Sep to Jan)
MATH2365Vector Calculus15 creditsSemester 1 (Sep to Jan)
MATH2375Linear Differential Equations and Transforms15 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

Optional modules:

Students are required to take at least 30 credits from the following optional module lists:

List A
Students must take at least 20 credits from List A:

MATH2026Rings, Fields and Polynomials10 creditsSemester 2 (Jan to Jun)
MATH2040Mathematical Logic 110 creditsSemester 1 (Sep to Jan)
MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2230Discrete Mathematics10 creditsSemester 2 (Jan to Jun)
MATH2231Discrete Mathematics with Computation15 creditsSemester 2 (Jan to Jun)
MATH2340The Mathematics of Music10 creditsSemester 1 (Sep to Jan)
MATH2391Nonlinear Differential Equations10 creditsSemester 2 (Jan to Jun)
MATH2410Special Relativity10 creditsSemester 1 (Sep to Jan)
MATH2515Financial Mathematics 210 creditsSemester 1 (Sep to Jan)
MATH2525Financial Mathematics 310 creditsSemester 2 (Jan to Jun)
MATH2600Numerical Analysis10 creditsSemester 2 (Jan to Jun)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2620Fluid Dynamics 110 creditsSemester 2 (Jan to Jun)
MATH2640Introduction to Optimisation10 creditsSemester 1 (Sep to Jan)
MATH2650Calculus of Variations10 creditsSemester 2 (Jan to Jun)
MATH2715Statistical Methods10 creditsSemester 1 (Sep to Jan)
MATH2735Statistical Modelling10 creditsSemester 1 (Sep to Jan)
MATH2740Environmental Statistics10 creditsSemester 2 (Jan to Jun)
MATH2750Introduction to Markov Processes10 creditsSemester 2 (Jan to Jun)
MATH2775Survival Analysis10 creditsSemester 2 (Jan to Jun)

Further modules can be chosen from List B:

EDUC2071School Mathematics from an Advanced (Undergraduate) Perspective10 creditsSemester 2 (Jan to Jun)
MATH2800Mathematics into Schools10 creditsSemesters 1 & 2 (Sep to Jun)
MATH2900Maths at Work10 creditsSemesters 1 & 2 (Sep to Jun)

Discovery modules:

At most 20 credits may be chosen as discovery modules. Discovery modules may be chosen at Level 1 or Level 2.

!! IMPORTANT !! When choosing options, students must take into account which modules they intend to take in Year 3 to make sure that they have the necessary prerequisites. Please refer to the information from the Programme Meetings.

Altogether students may not take more than 20 credits in Level 1 modules. Choices are subject to the approval of the Head of the School of Mathematics and restrictions as listed on the School of Mathematics webpages.


Year3 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students should normally enrol on exactly 120 or 125 credits in each academic year. Students are permitted to enrol for 110 (115) credits in either of year 3 or year 4, provided they register for 130 (125) credits in the other year. Over years 3 and 4 of the programmes students can enrol on at most 20 credits of Level 1 and 2 modules.

Over years 3 and 4 students have to take at least 120 credits of Level 5 modules.

Students need to have passed at least 100 credits in their third year and have a Year 3 average of at least 50 (on the 0 to 100 scale) to progress to Year 4 of the programme.

Optional modules:

Students must choose at least 100 credits from the modules in Lists A and B, with at least 80 credits from List A.



List A

COMP3910Combinatorial Optimisation10 creditsSemester 2 (Jan to Jun)
COMP3940Graph Algorithms and Complexity Theory10 creditsSemester 1 (Sep to Jan)
COMP5940MGraph Theory: Structure and Algorithms15 creditsSemester 2 (Jan to Jun)
MATH3001Project in Mathematics20 creditsSemesters 1 & 2 (Sep to Jun)
MATH3015History of Mathematics15 creditsSemester 2 (Jan to Jun)
MATH3021Philosophy of Logic and Mathematics20 creditsSemester 2 (Jan to Jun)
MATH3033Graph Theory15 creditsSemester 1 (Sep to Jan)
MATH3044Number Theory15 creditsSemester 2 (Jan to Jun)
MATH3071Groups and Symmetry15 creditsSemester 1 (Sep to Jan)
MATH3104Proof and Computation15 creditsSemester 2 (Jan to Jun)
MATH3113Differential Geometry15 creditsSemester 2 (Jan to Jun)
MATH3120Models and Sets15 creditsSemester 1 (Sep to Jan)
MATH3143Combinatorics15 creditsSemester 2 (Jan to Jun)
MATH3153Coding Theory15 creditsSemester 1 (Sep to Jan)
MATH3193Algebras and Representations15 creditsSemester 1 (Sep to Jan)
MATH3210Metric Spaces15 creditsSemester 1 (Sep to Jan)
MATH3215Hilbert Spaces and Fourier Analysis15 creditsSemester 2 (Jan to Jun)
MATH3225Topology15 creditsSemester 2 (Jan to Jun)
MATH3232Transformation Geometry15 creditsSemester 1 (Sep to Jan)
MATH3355Hamiltonian Systems15 creditsSemester 2 (Jan to Jun)
MATH3365Mathematical Methods15 creditsSemester 1 (Sep to Jan)
MATH3374Linear and Non-Linear Waves15 creditsNot running in 201718
MATH3375Hydrodynamic Stability15 creditsNot running in 201718
MATH3385Quantum Mechanics15 creditsSemester 1 (Sep to Jan)
MATH3396Dynamical Systems15 creditsNot running in 201718
MATH3397Nonlinear Dynamics15 creditsSemester 1 (Sep to Jan)
MATH3414Analytic Solutions of Partial Differential Equations15 creditsSemester 1 (Sep to Jan)
MATH3424Introduction to Entropy in the Physical World15 creditsNot running in 201718
MATH3458Geophysical Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH3459Astrophysical Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH3474Numerical Methods10 creditsSemester 1 (Sep to Jan)
MATH3475Modern Numerical Methods15 creditsSemester 2 (Jan to Jun)
MATH3491Discrete Systems and Integrability15 creditsNot running in 201718
MATH3510Actuarial Mathematics 115 creditsSemester 1 (Sep to Jan)
MATH3520Actuarial Mathematics 215 creditsSemester 2 (Jan to Jun)
MATH3531Cosmology10 creditsSemester 2 (Jan to Jun)
MATH3565Mathematical Biology15 creditsSemester 1 (Sep to Jan)
MATH3567Evolutionary Modelling15 creditsSemester 2 (Jan to Jun)
MATH3620Fluid Dynamics 215 creditsSemester 1 (Sep to Jan)
MATH3714Linear Regression and Robustness15 creditsSemester 1 (Sep to Jan)
MATH3723Statistical Theory15 creditsSemester 2 (Jan to Jun)
MATH3733Stochastic Financial Modelling15 creditsSemester 2 (Jan to Jun)
MATH3772Multivariate Analysis10 creditsSemester 1 (Sep to Jan)
MATH3802Time Series10 creditsSemester 1 (Sep to Jan)
MATH3820Bayesian Statistics10 creditsSemester 1 (Sep to Jan)
MATH3823Generalised Linear Models10 creditsSemester 2 (Jan to Jun)
MATH3880Introduction to Statistics and DNA10 creditsSemester 2 (Jan to Jun)
MATH5015MLinear Analysis 120 creditsSemester 1 (Sep to Jan)
MATH5021MPhilosophy of Logic and Mathematics20 creditsSemester 2 (Jan to Jun)
MATH5104MAdvanced Proof and Computation20 creditsSemester 2 (Jan to Jun)
MATH5113MAdvanced Differential Geometry20 creditsSemester 2 (Jan to Jun)
MATH5120MAdvanced Models and Sets20 creditsSemester 1 (Sep to Jan)
MATH5153MAdvanced Coding Theory20 creditsSemester 1 (Sep to Jan)
MATH5246MFields and Galois Theory20 creditsNot running in 201718
MATH5253MCommutative Algebra and Algebraic Geometry20 creditsSemester 2 (Jan to Jun)
MATH5325MModels in Actuarial Science15 creditsSemester 2 (Jan to Jun)
MATH5356MAdvanced Hamiltonian Systems20 creditsSemester 2 (Jan to Jun)
MATH5366MAdvanced Mathematical Methods20 creditsSemester 1 (Sep to Jan)
MATH5373MAdvanced Linear and Nonlinear Waves20 creditsNot running in 201718
MATH5376MAdvanced Hydrodynamic Stability20 creditsNot running in 201718
MATH5386MAdvanced Quantum Mechanics20 creditsSemester 1 (Sep to Jan)
MATH5395MAdvanced Dynamical Systems20 creditsNot running in 201718
MATH5398MAdvanced Nonlinear Dynamics20 creditsSemester 1 (Sep to Jan)
MATH5424MAdvanced Entropy in the Physical World20 creditsNot running in 201718
MATH5458MAdvanced Geophysical Fluid Dynamics20 creditsSemester 2 (Jan to Jun)
MATH5459MAdvanced Astrophysical Fluid Dynamics20 creditsSemester 2 (Jan to Jun)
MATH5476MAdvanced Modern Numerical Methods20 creditsSemester 2 (Jan to Jun)
MATH5492MAdvanced Discrete Systems and Integrability20 creditsNot running in 201718
MATH5566MAdvanced Mathematical Biology20 creditsSemester 1 (Sep to Jan)
MATH5567MAdvanced Evolutionary Modelling20 creditsSemester 2 (Jan to Jun)
MATH5714MLinear Regression and Robustness and Smoothing20 creditsSemester 1 (Sep to Jan)
MATH5772MMultivariate and Cluster Analysis15 creditsSemester 1 (Sep to Jan)
MATH5802MTime Series and Spectral Analysis15 creditsSemester 1 (Sep to Jan)
MATH5820MBayesian Statistics and Causality15 creditsSemester 1 (Sep to Jan)
MATH5824MGeneralised Linear and Additive Models15 creditsSemester 2 (Jan to Jun)
MATH5835MStatistical Computing15 creditsSemester 1 (Sep to Jan)
MATH5880MStatistics and DNA15 creditsSemester 2 (Jan to Jun)

List B

EDUC3060Mathematics Education10 creditsSemester 1 (Sep to Jan)
EPIB3036Introduction to Clinical Trials15 creditsSemester 2 (Jan to Jun)
MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2231Discrete Mathematics with Computation15 creditsSemester 2 (Jan to Jun)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2650Calculus of Variations10 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

For questions concerning prerequisites for COMP modules, please contact the School of Computing or the relevant module manager.

Discovery modules:

Candidates may study up to 20 credits of discovery modules at Level 2, 3 or 5M, including Mathematics modules and Level 1 Skills Modules. Over years 3 and 4 of the programme, students can enrol on at most 20 credits of Level 1 and 2 modules. Module choices are subject to the approval of the Head of the School of Mathematics.


Year4 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students should normally enrol on exactly 120 or 125 credits in each academic year. Students are permitted to enrol for 110 (115) credits in either of year 3 or year 4, provided they register for 130 (125) credits in the other year. Over years 3 and 4 of the programme, students can enrol on at most 20 credits of level 1 and 2 modules.

Over years 3 and 4 students have to take at least 120 credits of level 5 modules.

Optional modules:

Students must take at least 100 credits from Lists A and B with exactly one of the project modules in List A.

List A

MATH5003MAssignment in Mathematics (30cr)30 creditsSemesters 1 & 2 (Sep to Jun)
MATH5004MAssignment in Mathematics (40cr)40 creditsSemesters 1 & 2 (Sep to Jun)

List B

COMP3910Combinatorial Optimisation10 creditsSemester 2 (Jan to Jun)
COMP3940Graph Algorithms and Complexity Theory10 creditsSemester 1 (Sep to Jan)
COMP5940MGraph Theory: Structure and Algorithms15 creditsSemester 2 (Jan to Jun)
MATH3015History of Mathematics15 creditsSemester 2 (Jan to Jun)
MATH3021Philosophy of Logic and Mathematics20 creditsSemester 2 (Jan to Jun)
MATH3033Graph Theory15 creditsSemester 1 (Sep to Jan)
MATH3044Number Theory15 creditsSemester 2 (Jan to Jun)
MATH3071Groups and Symmetry15 creditsSemester 1 (Sep to Jan)
MATH3104Proof and Computation15 creditsSemester 2 (Jan to Jun)
MATH3113Differential Geometry15 creditsSemester 2 (Jan to Jun)
MATH3120Models and Sets15 creditsSemester 1 (Sep to Jan)
MATH3143Combinatorics15 creditsSemester 2 (Jan to Jun)
MATH3153Coding Theory15 creditsSemester 1 (Sep to Jan)
MATH3193Algebras and Representations15 creditsSemester 1 (Sep to Jan)
MATH3210Metric Spaces15 creditsSemester 1 (Sep to Jan)
MATH3215Hilbert Spaces and Fourier Analysis15 creditsSemester 2 (Jan to Jun)
MATH3225Topology15 creditsSemester 2 (Jan to Jun)
MATH3232Transformation Geometry15 creditsSemester 1 (Sep to Jan)
MATH3355Hamiltonian Systems15 creditsSemester 2 (Jan to Jun)
MATH3365Mathematical Methods15 creditsSemester 1 (Sep to Jan)
MATH3374Linear and Non-Linear Waves15 creditsNot running in 201718
MATH3375Hydrodynamic Stability15 creditsNot running in 201718
MATH3385Quantum Mechanics15 creditsSemester 1 (Sep to Jan)
MATH3396Dynamical Systems15 creditsNot running in 201718
MATH3397Nonlinear Dynamics15 creditsSemester 1 (Sep to Jan)
MATH3414Analytic Solutions of Partial Differential Equations15 creditsSemester 1 (Sep to Jan)
MATH3424Introduction to Entropy in the Physical World15 creditsNot running in 201718
MATH3458Geophysical Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH3459Astrophysical Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH3474Numerical Methods10 creditsSemester 1 (Sep to Jan)
MATH3475Modern Numerical Methods15 creditsSemester 2 (Jan to Jun)
MATH3491Discrete Systems and Integrability15 creditsNot running in 201718
MATH3510Actuarial Mathematics 115 creditsSemester 1 (Sep to Jan)
MATH3520Actuarial Mathematics 215 creditsSemester 2 (Jan to Jun)
MATH3531Cosmology10 creditsSemester 2 (Jan to Jun)
MATH3565Mathematical Biology15 creditsSemester 1 (Sep to Jan)
MATH3567Evolutionary Modelling15 creditsSemester 2 (Jan to Jun)
MATH3620Fluid Dynamics 215 creditsSemester 1 (Sep to Jan)
MATH3714Linear Regression and Robustness15 creditsSemester 1 (Sep to Jan)
MATH3723Statistical Theory15 creditsSemester 2 (Jan to Jun)
MATH3733Stochastic Financial Modelling15 creditsSemester 2 (Jan to Jun)
MATH3772Multivariate Analysis10 creditsSemester 1 (Sep to Jan)
MATH3802Time Series10 creditsSemester 1 (Sep to Jan)
MATH3820Bayesian Statistics10 creditsSemester 1 (Sep to Jan)
MATH3823Generalised Linear Models10 creditsSemester 2 (Jan to Jun)
MATH3880Introduction to Statistics and DNA10 creditsSemester 2 (Jan to Jun)
MATH5015MLinear Analysis 120 creditsSemester 1 (Sep to Jan)
MATH5021MPhilosophy of Logic and Mathematics20 creditsSemester 2 (Jan to Jun)
MATH5104MAdvanced Proof and Computation20 creditsSemester 2 (Jan to Jun)
MATH5113MAdvanced Differential Geometry20 creditsSemester 2 (Jan to Jun)
MATH5120MAdvanced Models and Sets20 creditsSemester 1 (Sep to Jan)
MATH5153MAdvanced Coding Theory20 creditsSemester 1 (Sep to Jan)
MATH5246MFields and Galois Theory20 creditsNot running in 201718
MATH5253MCommutative Algebra and Algebraic Geometry20 creditsSemester 2 (Jan to Jun)
MATH5325MModels in Actuarial Science15 creditsSemester 2 (Jan to Jun)
MATH5356MAdvanced Hamiltonian Systems20 creditsSemester 2 (Jan to Jun)
MATH5366MAdvanced Mathematical Methods20 creditsSemester 1 (Sep to Jan)
MATH5373MAdvanced Linear and Nonlinear Waves20 creditsNot running in 201718
MATH5376MAdvanced Hydrodynamic Stability20 creditsNot running in 201718
MATH5386MAdvanced Quantum Mechanics20 creditsSemester 1 (Sep to Jan)
MATH5395MAdvanced Dynamical Systems20 creditsNot running in 201718
MATH5398MAdvanced Nonlinear Dynamics20 creditsSemester 1 (Sep to Jan)
MATH5424MAdvanced Entropy in the Physical World20 creditsNot running in 201718
MATH5458MAdvanced Geophysical Fluid Dynamics20 creditsSemester 2 (Jan to Jun)
MATH5459MAdvanced Astrophysical Fluid Dynamics20 creditsSemester 2 (Jan to Jun)
MATH5476MAdvanced Modern Numerical Methods20 creditsSemester 2 (Jan to Jun)
MATH5492MAdvanced Discrete Systems and Integrability20 creditsNot running in 201718
MATH5566MAdvanced Mathematical Biology20 creditsSemester 1 (Sep to Jan)
MATH5567MAdvanced Evolutionary Modelling20 creditsSemester 2 (Jan to Jun)
MATH5714MLinear Regression and Robustness and Smoothing20 creditsSemester 1 (Sep to Jan)
MATH5772MMultivariate and Cluster Analysis15 creditsSemester 1 (Sep to Jan)
MATH5802MTime Series and Spectral Analysis15 creditsSemester 1 (Sep to Jan)
MATH5820MBayesian Statistics and Causality15 creditsSemester 1 (Sep to Jan)
MATH5824MGeneralised Linear and Additive Models15 creditsSemester 2 (Jan to Jun)
MATH5835MStatistical Computing15 creditsSemester 1 (Sep to Jan)
MATH5880MStatistics and DNA15 creditsSemester 2 (Jan to Jun)

Additional modules may be chosen from:

EDUC3060Mathematics Education10 creditsSemester 1 (Sep to Jan)
EPIB3036Introduction to Clinical Trials15 creditsSemester 2 (Jan to Jun)
MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2650Calculus of Variations10 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

For questions concerning pre-requisites for COMP modules, please contact the School of Computing or the relevant Module Manager.

Discovery modules:

Students may study up to 20 credits of discovery modules at Level 2, 3 or 5M, including Mathematics modules and Level 1 Skills Modules. Module choices are subject to the approval of the Head of the School of Mathematics.

Over Years 3 and 4 of the programme, at most 20 credits of Level 1 Skills Discovery modules or level 2 modules may be chosen.

Last updated: 12/09/2017

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