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2020/21 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.




Year1 - 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.

MATH1005Core Mathematics50 creditsSemesters 1 & 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
MATH1515Interest Rates and Cashflow Modelling15 creditsSemester 2

In all cases the choice of modules is subject to the approval of the Programme Manager.

Discovery modules:

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


Year2 - 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
MATH2715Statistical Methods10 creditsSemester 1
MATH2920Computational Mathematics10 creditsSemester 1

Optional modules:

List A

MATH2735Statistical Modelling10 creditsNot running in 202021
MATH2740Environmental Statistics10 creditsNot running in 202021
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

MATH2027Rings and Polynomials10 creditsSemester 2
MATH2041Logic10 creditsSemester 2
MATH2042Logic with Computation15 creditsSemester 2
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
MATH2535Financial Mathematics: Risk10 creditsSemester 1
MATH2545Financial Mathematics: Markets10 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.


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 the final 2 years of the programme, provided they register for 130 (125) credits in the other year. Over the final 2 years of the programme students can enrol on at most 20 credits of Level 1 and 2 modules.

Over the final 2 years, 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 penultimate year and have a Year 3 average of at least 50 (on the 0 to 100 scale) to progress to the final year 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.

List A

COMP3910Combinatorial Optimisation10 creditsSemester 2
COMP3940Graph Algorithms and Complexity Theory10 creditsSemester 1
COMP5940MGraph Theory: Structure and Algorithms15 creditsNot running in 202021
EDUC3060Mathematics Education10 creditsSemester 2
MATH3001Project in Mathematics20 creditsSemesters 1 & 2
MATH3015History of Mathematics15 creditsNot running in 202021
MATH3017Calculus in the Complex Plane15 creditsSemester 1
MATH3021Philosophy of Logic and Mathematics20 creditsNot running in 202021
MATH3033Graph Theory15 creditsSemester 1
MATH3044Number Theory15 creditsNot running in 202021
MATH3071Groups and Symmetry15 creditsSemester 1
MATH3092Mixed Models10 creditsSemester 2
MATH3104Proof and Computation15 creditsSemester 2
MATH3113Differential Geometry15 creditsSemester 2
MATH3120Models and Sets15 creditsNot running in 202021
MATH3143Combinatorics15 creditsSemester 2
MATH3153Coding Theory15 creditsNot running in 202021
MATH3195Commutative Rings and Algebraic Geometry15 creditsNot running in 202021
MATH3211Metric and Function Spaces15 creditsSemester 1
MATH3216Hilbert Spaces and Fourier Analysis15 creditsNot running in 202021
MATH3225Topology15 creditsSemester 2
MATH3232Transformation Geometry15 creditsNot running in 202021
MATH3355Hamiltonian Systems15 creditsNot running in 202021
MATH3365Mathematical Methods15 creditsSemester 1
MATH3374Linear and Non-Linear Waves15 creditsSemester 2
MATH3375Hydrodynamic Stability15 creditsSemester 2
MATH3385Quantum Mechanics15 creditsNot running in 202021
MATH3396Dynamical Systems15 creditsNot running in 202021
MATH3397Nonlinear Dynamics15 creditsNot running in 202021
MATH3414Analytic Solutions of Partial Differential Equations15 creditsSemester 1
MATH3424Introduction to Entropy in the Physical World15 creditsSemester 2
MATH3458Geophysical Fluid Dynamics15 creditsNot running in 202021
MATH3475Modern Numerical Methods15 creditsNot running in 202021
MATH3491Discrete Systems and Integrability15 creditsNot running in 202021
MATH3510Actuarial Mathematics 115 creditsSemester 1
MATH3520Actuarial Mathematics 215 creditsSemester 2
MATH3532Relativity and Cosmology15 creditsNot running in 202021
MATH3565Mathematical Biology15 creditsSemester 1
MATH3567Evolutionary Modelling15 creditsNot running in 202021
MATH3620Fluid Dynamics 215 creditsSemester 1
MATH5021MPhilosophy of Logic and Mathematics20 creditsNot running in 202021
MATH5071MGroups, Symmetry and Galois Theory20 creditsSemester 1
MATH5092MMixed Models with Medical Applications15 credits1 Jan to 31 May
MATH5104MAdvanced Proof and Computation20 creditsSemester 2
MATH5113MAdvanced Differential Geometry20 creditsSemester 2
MATH5120MAdvanced Models and Sets20 creditsNot running in 202021
MATH5195MAdvanced Commutative Rings and Algebraic Geometry20 creditsNot running in 202021
MATH5211MMetric Spaces and Functional Analysis20 creditsSemester 1
MATH5216MHilbert Spaces and Advanced Fourier Analysis20 creditsNot running in 202021
MATH5325MModels in Actuarial Science15 creditsNot running in 202021
MATH5356MAdvanced Hamiltonian Systems20 creditsNot running in 202021
MATH5366MAdvanced Mathematical Methods20 creditsSemester 1
MATH5373MAdvanced Linear and Nonlinear Waves20 creditsSemester 2
MATH5376MAdvanced Hydrodynamic Stability20 creditsSemester 2
MATH5386MAdvanced Quantum Mechanics20 creditsNot running in 202021
MATH5395MAdvanced Dynamical Systems20 creditsNot running in 202021
MATH5398MAdvanced Nonlinear Dynamics20 creditsNot running in 202021
MATH5424MAdvanced Entropy in the Physical World20 creditsSemester 2
MATH5458MAdvanced Geophysical Fluid Dynamics20 creditsNot running in 202021
MATH5476MAdvanced Modern Numerical Methods20 creditsNot running in 202021
MATH5492MAdvanced Discrete Systems and Integrability20 creditsNot running in 202021
MATH5566MAdvanced Mathematical Biology20 creditsSemester 1
MATH5567MAdvanced Evolutionary Modelling20 creditsNot running in 202021
PHIL3123Philosophy of Logic and Mathematics20 creditsSemester 2
PHYS3011Cosmology15 creditsSemester 2
PHYS3190Molecular Simulation: Theory and Practice15 creditsSemester 2
PHYS3511Advanced Mechanics15 creditsSemester 1
SOEE3151Dynamics of Weather Systems10 creditsSemester 1

List B

EPIB3036Introduction to Clinical Trials15 creditsSemester 2
MATH3714Linear Regression and Robustness15 creditsSemester 1
MATH3723Statistical Theory15 creditsSemester 1
MATH3734Stochastic Calculus for Finance15 credits1 Jan to 31 May
MATH3772Multivariate Analysis10 creditsSemester 1
MATH3802Time Series10 credits1 Sep to 31 Dec (adv yr), 1 Jan to 31 May
MATH3820Bayesian Statistics10 creditsNot running in 202021
MATH3823Generalised Linear Models10 credits1 Jan to 31 May
MATH5714MLinear Regression, Robustness and Smoothing20 credits1 May to 30 Sep, Semester 1
MATH5734MAdvanced Stochastic Calculus and Applications to Finance20 credits1 Jan to 31 May
MATH5772MMultivariate and Cluster Analysis15 credits1 May to 30 Sep, Semester 1
MATH5802MTime Series and Spectral Analysis15 credits1 Jan to 31 May, 1 May to 30 Sep
MATH5820MBayesian Statistics and Causality15 creditsNot running in 202021
MATH5824MGeneralised Linear and Additive Models15 credits1 Jan to 31 May
MATH5835MStatistical Computing15 credits1 May to 30 Sep, Semester 1
SOEE3250Inverse Theory10 creditsSemester 1
SOEE5675MInverse Theory10 creditsSemester 1

Additional Modules may be chosen from List C, as well as Discovery modules.

List C

MATH2027Rings and Polynomials10 creditsSemester 2
MATH2042Logic with Computation15 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
MATH2775Survival Analysis10 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 the final 2 years 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 Programme Manager.

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.)


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 the final 2 years of the prorgamme, provided they register for 130 (125) credits in the other year. Over the final 2 years of the programme students can enrol on at most 20 credits of Level 1 and 2 modules.

Over the final 2 years, 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.

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 creditsNot running in 202021
EDUC3060Mathematics Education10 creditsSemester 2
MATH3015History of Mathematics15 creditsNot running in 202021
MATH3017Calculus in the Complex Plane15 creditsSemester 1
MATH3021Philosophy of Logic and Mathematics20 creditsNot running in 202021
MATH3033Graph Theory15 creditsSemester 1
MATH3044Number Theory15 creditsNot running in 202021
MATH3071Groups and Symmetry15 creditsSemester 1
MATH3092Mixed Models10 creditsSemester 2
MATH3104Proof and Computation15 creditsSemester 2
MATH3113Differential Geometry15 creditsSemester 2
MATH3120Models and Sets15 creditsNot running in 202021
MATH3143Combinatorics15 creditsSemester 2
MATH3153Coding Theory15 creditsNot running in 202021
MATH3195Commutative Rings and Algebraic Geometry15 creditsNot running in 202021
MATH3211Metric and Function Spaces15 creditsSemester 1
MATH3216Hilbert Spaces and Fourier Analysis15 creditsNot running in 202021
MATH3225Topology15 creditsSemester 2
MATH3232Transformation Geometry15 creditsNot running in 202021
MATH3355Hamiltonian Systems15 creditsNot running in 202021
MATH3365Mathematical Methods15 creditsSemester 1
MATH3374Linear and Non-Linear Waves15 creditsSemester 2
MATH3375Hydrodynamic Stability15 creditsSemester 2
MATH3385Quantum Mechanics15 creditsNot running in 202021
MATH3396Dynamical Systems15 creditsNot running in 202021
MATH3397Nonlinear Dynamics15 creditsNot running in 202021
MATH3414Analytic Solutions of Partial Differential Equations15 creditsSemester 1
MATH3424Introduction to Entropy in the Physical World15 creditsSemester 2
MATH3458Geophysical Fluid Dynamics15 creditsNot running in 202021
MATH3474Numerical Methods10 creditsNot running in 202021
MATH3475Modern Numerical Methods15 creditsNot running in 202021
MATH3491Discrete Systems and Integrability15 creditsNot running in 202021
MATH3510Actuarial Mathematics 115 creditsSemester 1
MATH3520Actuarial Mathematics 215 creditsSemester 2
MATH3532Relativity and Cosmology15 creditsNot running in 202021
MATH3565Mathematical Biology15 creditsSemester 1
MATH3567Evolutionary Modelling15 creditsNot running in 202021
MATH3620Fluid Dynamics 215 creditsSemester 1
MATH5021MPhilosophy of Logic and Mathematics20 creditsNot running in 202021
MATH5071MGroups, Symmetry and Galois Theory20 creditsSemester 1
MATH5092MMixed Models with Medical Applications15 credits1 Jan to 31 May
MATH5104MAdvanced Proof and Computation20 creditsSemester 2
MATH5113MAdvanced Differential Geometry20 creditsSemester 2
MATH5120MAdvanced Models and Sets20 creditsNot running in 202021
MATH5195MAdvanced Commutative Rings and Algebraic Geometry20 creditsNot running in 202021
MATH5211MMetric Spaces and Functional Analysis20 creditsSemester 1
MATH5216MHilbert Spaces and Advanced Fourier Analysis20 creditsNot running in 202021
MATH5325MModels in Actuarial Science15 creditsNot running in 202021
MATH5356MAdvanced Hamiltonian Systems20 creditsNot running in 202021
MATH5366MAdvanced Mathematical Methods20 creditsSemester 1
MATH5373MAdvanced Linear and Nonlinear Waves20 creditsSemester 2
MATH5376MAdvanced Hydrodynamic Stability20 creditsSemester 2
MATH5386MAdvanced Quantum Mechanics20 creditsNot running in 202021
MATH5395MAdvanced Dynamical Systems20 creditsNot running in 202021
MATH5398MAdvanced Nonlinear Dynamics20 creditsNot running in 202021
MATH5424MAdvanced Entropy in the Physical World20 creditsSemester 2
MATH5458MAdvanced Geophysical Fluid Dynamics20 creditsNot running in 202021
MATH5476MAdvanced Modern Numerical Methods20 creditsNot running in 202021
MATH5492MAdvanced Discrete Systems and Integrability20 creditsNot running in 202021
MATH5566MAdvanced Mathematical Biology20 creditsSemester 1
MATH5567MAdvanced Evolutionary Modelling20 creditsNot running in 202021
MATH5734MAdvanced Stochastic Calculus and Applications to Finance20 credits1 Jan to 31 May
PHIL3123Philosophy of Logic and Mathematics20 creditsSemester 2
PHYS3011Cosmology15 creditsSemester 2
PHYS3190Molecular Simulation: Theory and Practice15 creditsSemester 2
PHYS3511Advanced Mechanics15 creditsSemester 1
PHYS5380MQuantum Field Theory15 creditsSemester 1
PHYS5390MGeneral Relativity15 creditsSemester 2
SOEE3151Dynamics of Weather Systems10 creditsSemester 1

List C

EPIB3036Introduction to Clinical Trials15 creditsSemester 2
MATH3714Linear Regression and Robustness15 creditsSemester 1
MATH3723Statistical Theory15 creditsSemester 1
MATH3734Stochastic Calculus for Finance15 credits1 Jan to 31 May
MATH3772Multivariate Analysis10 creditsSemester 1
MATH3802Time Series10 credits1 Sep to 31 Dec (adv yr), 1 Jan to 31 May
MATH3820Bayesian Statistics10 creditsNot running in 202021
MATH3823Generalised Linear Models10 credits1 Jan to 31 May
MATH5714MLinear Regression, Robustness and Smoothing20 credits1 May to 30 Sep, Semester 1
MATH5772MMultivariate and Cluster Analysis15 credits1 May to 30 Sep, Semester 1
MATH5802MTime Series and Spectral Analysis15 credits1 Jan to 31 May, 1 May to 30 Sep
MATH5820MBayesian Statistics and Causality15 creditsNot running in 202021
MATH5824MGeneralised Linear and Additive Models15 credits1 Jan to 31 May
MATH5835MStatistical Computing15 credits1 May to 30 Sep, Semester 1
SOEE3250Inverse Theory10 creditsSemester 1
SOEE5675MInverse Theory10 creditsSemester 1

Additional modules may be chosen from List D, as well as from Discovery modules.

List D

MATH2027Rings and Polynomials10 creditsSemester 2
MATH2042Logic with Computation15 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
MATH2775Survival Analysis10 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 the final 2 years 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 Programme Manager.

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: 25/08/2020 10:49:24

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