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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.


Year 1 - 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
MATH1012Mathematics 225 creditsSemester 2
MATH1025Number Systems15 creditsSemester 1
MATH1026Sets, Sequences and Series15 creditsSemester 2
MATH1710Probability and Statistics I10 creditsSemester 1
MATH1712Probability and Statistics II10 creditsSemester 2

Optional modules:

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

MATH1225Introduction to Geometry10 creditsSemester 1
MATH1510Financial Mathematics 115 creditsSemester 2

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.


Year 2 - 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
MATH2022Groups and Vector Spaces15 creditsSemester 1
MATH2365Vector Calculus15 creditsSemester 1
MATH2375Linear Differential Equations and Transforms15 creditsSemester 2
MATH2920Computational Mathematics10 creditsSemester 1

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

Further modules can be chosen from List B:

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

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.


Year 3 - 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
COMP3940Graph Algorithms and Complexity Theory10 creditsSemester 1
COMP5940MGraph Theory: Structure and Algorithms15 creditsSemester 2
MATH3001Project in Mathematics20 creditsSemesters 1 & 2
MATH3015History of Mathematics15 creditsSemester 2
MATH3021Philosophy of Logic and Mathematics20 creditsSemester 2
MATH3033Graph Theory15 creditsSemester 1
MATH3044Number Theory15 creditsSemester 2
MATH3071Groups and Symmetry15 creditsSemester 1
MATH3104Proof and Computation15 creditsSemester 2
MATH3113Differential Geometry15 creditsSemester 2
MATH3120Models and Sets15 creditsSemester 1
MATH3143Combinatorics15 creditsSemester 2
MATH3153Coding Theory15 creditsSemester 1
MATH3193Algebras and Representations15 creditsSemester 1
MATH3210Metric Spaces15 creditsSemester 1
MATH3215Hilbert Spaces and Fourier Analysis15 creditsSemester 2
MATH3225Topology15 creditsSemester 2
MATH3232Transformation Geometry15 creditsSemester 1
MATH3355Hamiltonian Systems15 creditsSemester 2
MATH3365Mathematical Methods15 creditsSemester 1
MATH3374Linear and Non-Linear Waves15 creditsNot running in 201718
MATH3375Hydrodynamic Stability15 creditsNot running in 201718
MATH3385Quantum Mechanics15 creditsSemester 1
MATH3396Dynamical Systems15 creditsNot running in 201718
MATH3397Nonlinear Dynamics15 creditsSemester 1
MATH3414Analytic Solutions of Partial Differential Equations15 creditsSemester 1
MATH3424Introduction to Entropy in the Physical World15 creditsNot running in 201718
MATH3458Geophysical Fluid Dynamics15 creditsSemester 2
MATH3459Astrophysical Fluid Dynamics15 creditsSemester 2
MATH3474Numerical Methods10 creditsSemester 1
MATH3475Modern Numerical Methods15 creditsSemester 2
MATH3491Discrete Systems and Integrability15 creditsNot running in 201718
MATH3510Actuarial Mathematics 115 creditsSemester 1
MATH3520Actuarial Mathematics 215 creditsSemester 2
MATH3531Cosmology10 creditsSemester 2
MATH3565Mathematical Biology15 creditsSemester 1
MATH3567Evolutionary Modelling15 creditsSemester 2
MATH3620Fluid Dynamics 215 creditsSemester 1
MATH3714Linear Regression and Robustness15 creditsSemester 1
MATH3723Statistical Theory15 creditsSemester 2
MATH3733Stochastic Financial Modelling15 creditsSemester 2
MATH3772Multivariate Analysis10 creditsSemester 1
MATH3802Time Series10 creditsSemester 1
MATH3820Bayesian Statistics10 creditsSemester 1
MATH3823Generalised Linear Models10 creditsSemester 2
MATH3880Introduction to Statistics and DNA10 creditsSemester 2
MATH5015MLinear Analysis 120 creditsSemester 1
MATH5021MPhilosophy of Logic and Mathematics20 creditsSemester 2
MATH5104MAdvanced Proof and Computation20 creditsSemester 2
MATH5113MAdvanced Differential Geometry20 creditsSemester 2
MATH5120MAdvanced Models and Sets20 creditsSemester 1
MATH5153MAdvanced Coding Theory20 creditsSemester 1
MATH5246MFields and Galois Theory20 creditsNot running in 201718
MATH5253MCommutative Algebra and Algebraic Geometry20 creditsSemester 2
MATH5325MModels in Actuarial Science15 creditsSemester 2
MATH5356MAdvanced Hamiltonian Systems20 creditsSemester 2
MATH5366MAdvanced Mathematical Methods20 creditsSemester 1
MATH5373MAdvanced Linear and Nonlinear Waves20 creditsNot running in 201718
MATH5376MAdvanced Hydrodynamic Stability20 creditsNot running in 201718
MATH5386MAdvanced Quantum Mechanics20 creditsSemester 1
MATH5395MAdvanced Dynamical Systems20 creditsNot running in 201718
MATH5398MAdvanced Nonlinear Dynamics20 creditsSemester 1
MATH5424MAdvanced Entropy in the Physical World20 creditsNot running in 201718
MATH5458MAdvanced Geophysical Fluid Dynamics20 creditsSemester 2
MATH5459MAdvanced Astrophysical Fluid Dynamics20 creditsSemester 2
MATH5476MAdvanced Modern Numerical Methods20 creditsSemester 2
MATH5492MAdvanced Discrete Systems and Integrability20 creditsNot running in 201718
MATH5566MAdvanced Mathematical Biology20 creditsSemester 1
MATH5567MAdvanced Evolutionary Modelling20 creditsSemester 2
MATH5714MLinear Regression and Robustness and Smoothing20 creditsSemester 1
MATH5772MMultivariate and Cluster Analysis15 creditsSemester 1
MATH5802MTime Series and Spectral Analysis15 creditsSemester 1
MATH5820MBayesian Statistics and Causality15 creditsSemester 1
MATH5824MGeneralised Linear and Additive Models15 creditsSemester 2
MATH5835MStatistical Computing15 creditsSemester 1
MATH5880MStatistics and DNA15 creditsSemester 2

List B

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

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.


Year 4 - 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
MATH5004MAssignment in Mathematics (40cr)40 creditsSemesters 1 & 2

List B

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

Additional modules may be chosen from:

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

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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