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2017/18 Undergraduate Programme Catalogue

MMath, BSc Mathematics and Statistics

Programme code:MMBS-MA&STUCAS code:GG1H
Duration:4 Years Method of Attendance: Full Time
Programme manager:Dr A. Baczkowski Contact address:a.j.baczkowski@leeds.ac.uk

Total credits: 480

Entry requirements:

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

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

Examination board through which the programme will be considered:

Relevant QAA Subject Benchmark Groups:

Programme specification:

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

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:

Students may study up to 20 credits of level 1 discovery modules. Choices are subject to 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 the 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 programme.

In order to progress to Year 3 of the programme, in addition to the usual requirements candidates need to pass MATH2715 or MATH2735.

Compulsory modules:

Students must take 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 must choose at least 30 credits from the following list, including at least two of MATH2715, MATH2735 and MATH2750.

List A

MATH2715Statistical Methods10 creditsSemester 1
MATH2735Statistical Modelling10 creditsSemester 1
MATH2740Environmental Statistics10 creditsSemester 2
MATH2750Introduction to Markov Processes10 creditsSemester 2
MATH2775Survival Analysis10 creditsSemester 2

Students can choose further modules from the list below, or from Discovery modules.

List B

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

!! IMPORTANT !! When choosing options, students must take into account which modules they intend to take in Year 3 and 4 to make sure that they have the necessary prerequisites. Please refer to the information from the Programme Meetings.

Discovery modules:

Depending on the modules chosen from List A and B, students can take up to 20 credits of Discovery modules at level 1 or 2.


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 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 5M modules, including at least 40 credits of level 5 Mathematics (not Statistics) and at least 40 credits of level 5M Statistics 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:

Student must choose at least 100 credits from Lists A and B with:
- at least 40 credits from List A; if students enrol on MATH3001, they need to enrol on at least 60 credits from List A;
- at least 40 credits from List B.

For students to gain Royal Statistical Society Accreditation, they will need to pass at least 60 credits of level 3 or 5M Statistics modules.

List A

COMP3910Combinatorial Optimisation10 creditsSemester 2
COMP3940Graph Algorithms and Complexity Theory10 creditsSemester 1
COMP5940MGraph Theory: Structure and Algorithms15 creditsSemester 2
EDUC3060Mathematics Education10 creditsSemester 1
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
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
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
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

List B

EPIB3036Introduction to Clinical Trials15 creditsSemester 2
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
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 List C, as well as Discovery modules.

List C

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

Discovery modules:

Students may take up to 20 credits of discovery modules at Level 2, 3 or 5M, including Mathematics modules and Level 1 Skills modules. Over Year 3 and 4 of the programmes at most 20 credits of Level 1 Skills Discovery modules or Level 2 modules may be chosen.

Module choices are subject to the approval by the Head of the School of Mathematics.

In order to qualify for the degree, in addition to the usual degree rules, student must pass at least 80 credits of level 3 and 5M Mathematics (not Statistics) modules including at least 40 credits at level 5M, and at least 80 credits of level 3 and 5M Statistics modules including at least 40 credits at level 5M. (EDUC3060, COMP3910, COMP3940, COMP5940M count as a Mathematics and EPIB3036 counts as a Statistics module for this purpose.)


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 5M modules, including at least 40 credits of level 5M Mathematics (not Statistics) and at least 40 credits of level 5M Statistics modules.

Optional modules:

Students must choose at least 110 credits from Lists A, B and C with:
- exactly one module from List A;
- at least 40 credits from List B;
- at least 40 credits from List C.

For students to gain Royal Statistical Society Accreditation, they will need to pass at least 60 credits of level 3 or 5M Statistics modules.

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
EDUC3060Mathematics Education10 creditsSemester 1
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
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
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
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

List C

EPIB3036Introduction to Clinical Trials15 creditsSemester 2
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
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 List D, as well as from Discovery modules.

List C

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

Discovery modules:

Students may take up to 10 credits of discovery modules at Level 2, 3 and 5M, including Mathematics modules and Level 1 Skills modules. Overs year 3 and 4 of the programme at most 20 credits of Level 1 skills Discovery modules or Level 2 modules may be chosen.

Module choices are subject to approval by the Head of the School of Mathematics.

In order to qualify for the degree, in addition to the usual degree rules, student must pass at least 80 credits of level 3 and 5M Mathematics (not Statistics) modules including at least 40 credits at level 5M, and at least 80 credits of level 3 and 5M Statistics modules including at least 40 credits at level 5M. (EDUC3060, COMP3910, COMP3940, COMP5940M count as a Mathematics and EPIB3036 counts as a Statistics module for this purpose.)

Last updated: 04/05/2017

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