# 2017/18 Undergraduate Programme Catalogue

## MMath, BSc Mathematics and Statistics

Programme code: | MMBS-MA&ST | UCAS 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.

MATH1010 | Mathematics 1 | 25 credits | Semester 1 | |

MATH1012 | Mathematics 2 | 25 credits | Semester 2 | |

MATH1025 | Number Systems | 15 credits | Semester 1 | |

MATH1026 | Sets, Sequences and Series | 15 credits | Semester 2 | |

MATH1710 | Probability and Statistics I | 10 credits | Semester 1 | |

MATH1712 | Probability and Statistics II | 10 credits | Semester 2 |

**Optional modules:**

Candidates may take up to 25 credits from the optional modules below, or Discovery modules, or a combination of the two:

MATH1225 | Introduction to Geometry | 10 credits | Semester 1 | |

MATH1510 | Financial Mathematics 1 | 15 credits | Semester 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:

MATH2017 | Real Analysis | 15 credits | Semester 2 | |

MATH2022 | Groups and Vector Spaces | 15 credits | Semester 1 | |

MATH2365 | Vector Calculus | 15 credits | Semester 1 | |

MATH2375 | Linear Differential Equations and Transforms | 15 credits | Semester 2 | |

MATH2920 | Computational Mathematics | 10 credits | Semester 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

MATH2715 | Statistical Methods | 10 credits | Semester 1 | |

MATH2735 | Statistical Modelling | 10 credits | Semester 1 | |

MATH2740 | Environmental Statistics | 10 credits | Semester 2 | |

MATH2750 | Introduction to Markov Processes | 10 credits | Semester 2 | |

MATH2775 | Survival Analysis | 10 credits | Semester 2 |

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

List B

EDUC2071 | School Mathematics from an Advanced (Undergraduate) Perspective | 10 credits | Semester 2 | |

MATH2026 | Rings, Fields and Polynomials | 10 credits | Semester 2 | |

MATH2040 | Mathematical Logic 1 | 10 credits | Semester 1 | |

MATH2051 | Geometry of Curves and Surfaces | 10 credits | Semester 1 | |

MATH2230 | Discrete Mathematics | 10 credits | Semester 2 | |

MATH2231 | Discrete Mathematics with Computation | 15 credits | Semester 2 | |

MATH2340 | The Mathematics of Music | 10 credits | Semester 1 | |

MATH2391 | Nonlinear Differential Equations | 10 credits | Semester 2 | |

MATH2410 | Special Relativity | 10 credits | Semester 1 | |

MATH2515 | Financial Mathematics 2 | 10 credits | Semester 1 | |

MATH2525 | Financial Mathematics 3 | 10 credits | Semester 2 | |

MATH2600 | Numerical Analysis | 10 credits | Semester 2 | |

MATH2601 | Numerical Analysis with Computation | 15 credits | Semester 2 | |

MATH2620 | Fluid Dynamics 1 | 10 credits | Semester 2 | |

MATH2640 | Introduction to Optimisation | 10 credits | Semester 1 | |

MATH2650 | Calculus of Variations | 10 credits | Semester 2 | |

MATH2800 | Mathematics into Schools | 10 credits | Semesters 1 & 2 | |

MATH2900 | Maths at Work | 10 credits | Semesters 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

COMP3910 | Combinatorial Optimisation | 10 credits | Semester 2 | |

COMP3940 | Graph Algorithms and Complexity Theory | 10 credits | Semester 1 | |

COMP5940M | Graph Theory: Structure and Algorithms | 15 credits | Semester 2 | |

EDUC3060 | Mathematics Education | 10 credits | Semester 1 | |

MATH3001 | Project in Mathematics | 20 credits | Semesters 1 & 2 | |

MATH3015 | History of Mathematics | 15 credits | Semester 2 | |

MATH3021 | Philosophy of Logic and Mathematics | 20 credits | Semester 2 | |

MATH3033 | Graph Theory | 15 credits | Semester 1 | |

MATH3044 | Number Theory | 15 credits | Semester 2 | |

MATH3071 | Groups and Symmetry | 15 credits | Semester 1 | |

MATH3104 | Proof and Computation | 15 credits | Semester 2 | |

MATH3113 | Differential Geometry | 15 credits | Semester 2 | |

MATH3120 | Models and Sets | 15 credits | Semester 1 | |

MATH3143 | Combinatorics | 15 credits | Semester 2 | |

MATH3153 | Coding Theory | 15 credits | Semester 1 | |

MATH3193 | Algebras and Representations | 15 credits | Semester 1 | |

MATH3210 | Metric Spaces | 15 credits | Semester 1 | |

MATH3215 | Hilbert Spaces and Fourier Analysis | 15 credits | Semester 2 | |

MATH3225 | Topology | 15 credits | Semester 2 | |

MATH3232 | Transformation Geometry | 15 credits | Semester 1 | |

MATH3355 | Hamiltonian Systems | 15 credits | Semester 2 | |

MATH3365 | Mathematical Methods | 15 credits | Semester 1 | |

MATH3374 | Linear and Non-Linear Waves | 15 credits | Not running in 201718 | |

MATH3375 | Hydrodynamic Stability | 15 credits | Not running in 201718 | |

MATH3385 | Quantum Mechanics | 15 credits | Semester 1 | |

MATH3396 | Dynamical Systems | 15 credits | Not running in 201718 | |

MATH3397 | Nonlinear Dynamics | 15 credits | Semester 1 | |

MATH3414 | Analytic Solutions of Partial Differential Equations | 15 credits | Semester 1 | |

MATH3424 | Introduction to Entropy in the Physical World | 15 credits | Not running in 201718 | |

MATH3458 | Geophysical Fluid Dynamics | 15 credits | Semester 2 | |

MATH3474 | Numerical Methods | 10 credits | Semester 1 | |

MATH3475 | Modern Numerical Methods | 15 credits | Semester 2 | |

MATH3491 | Discrete Systems and Integrability | 15 credits | Not running in 201718 | |

MATH3510 | Actuarial Mathematics 1 | 15 credits | Semester 1 | |

MATH3520 | Actuarial Mathematics 2 | 15 credits | Semester 2 | |

MATH3531 | Cosmology | 10 credits | Semester 2 | |

MATH3565 | Mathematical Biology | 15 credits | Semester 1 | |

MATH3567 | Evolutionary Modelling | 15 credits | Semester 2 | |

MATH3620 | Fluid Dynamics 2 | 15 credits | Semester 1 | |

MATH5015M | Linear Analysis 1 | 20 credits | Semester 1 | |

MATH5021M | Philosophy of Logic and Mathematics | 20 credits | Semester 2 | |

MATH5104M | Advanced Proof and Computation | 20 credits | Semester 2 | |

MATH5113M | Advanced Differential Geometry | 20 credits | Semester 2 | |

MATH5120M | Advanced Models and Sets | 20 credits | Semester 1 | |

MATH5153M | Advanced Coding Theory | 20 credits | Semester 1 | |

MATH5246M | Fields and Galois Theory | 20 credits | Not running in 201718 | |

MATH5253M | Commutative Algebra and Algebraic Geometry | 20 credits | Semester 2 | |

MATH5325M | Models in Actuarial Science | 15 credits | Semester 2 | |

MATH5356M | Advanced Hamiltonian Systems | 20 credits | Semester 2 | |

MATH5366M | Advanced Mathematical Methods | 20 credits | Semester 1 | |

MATH5373M | Advanced Linear and Nonlinear Waves | 20 credits | Not running in 201718 | |

MATH5376M | Advanced Hydrodynamic Stability | 20 credits | Not running in 201718 | |

MATH5386M | Advanced Quantum Mechanics | 20 credits | Semester 1 | |

MATH5395M | Advanced Dynamical Systems | 20 credits | Not running in 201718 | |

MATH5398M | Advanced Nonlinear Dynamics | 20 credits | Semester 1 | |

MATH5424M | Advanced Entropy in the Physical World | 20 credits | Not running in 201718 | |

MATH5458M | Advanced Geophysical Fluid Dynamics | 20 credits | Semester 2 | |

MATH5476M | Advanced Modern Numerical Methods | 20 credits | Semester 2 | |

MATH5492M | Advanced Discrete Systems and Integrability | 20 credits | Not running in 201718 | |

MATH5566M | Advanced Mathematical Biology | 20 credits | Semester 1 | |

MATH5567M | Advanced Evolutionary Modelling | 20 credits | Semester 2 |

List B

EPIB3036 | Introduction to Clinical Trials | 15 credits | Semester 2 | |

MATH3714 | Linear Regression and Robustness | 15 credits | Semester 1 | |

MATH3723 | Statistical Theory | 15 credits | Semester 2 | |

MATH3733 | Stochastic Financial Modelling | 15 credits | Semester 2 | |

MATH3772 | Multivariate Analysis | 10 credits | Semester 1 | |

MATH3802 | Time Series | 10 credits | Semester 1 | |

MATH3820 | Bayesian Statistics | 10 credits | Semester 1 | |

MATH3823 | Generalised Linear Models | 10 credits | Semester 2 | |

MATH3880 | Introduction to Statistics and DNA | 10 credits | Semester 2 | |

MATH5714M | Linear Regression and Robustness and Smoothing | 20 credits | Semester 1 | |

MATH5772M | Multivariate and Cluster Analysis | 15 credits | Semester 1 | |

MATH5802M | Time Series and Spectral Analysis | 15 credits | Semester 1 | |

MATH5820M | Bayesian Statistics and Causality | 15 credits | Semester 1 | |

MATH5824M | Generalised Linear and Additive Models | 15 credits | Semester 2 | |

MATH5835M | Statistical Computing | 15 credits | Semester 1 | |

MATH5880M | Statistics and DNA | 15 credits | Semester 2 |

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

List C

MATH2051 | Geometry of Curves and Surfaces | 10 credits | Semester 1 | |

MATH2231 | Discrete Mathematics with Computation | 15 credits | Semester 2 | |

MATH2601 | Numerical Analysis with Computation | 15 credits | Semester 2 | |

MATH2650 | Calculus of Variations | 10 credits | Semester 2 | |

MATH2920 | Computational Mathematics | 10 credits | Semester 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

MATH5003M | Assignment in Mathematics (30cr) | 30 credits | Semesters 1 & 2 | |

MATH5004M | Assignment in Mathematics (40cr) | 40 credits | Semesters 1 & 2 |

List B

COMP3910 | Combinatorial Optimisation | 10 credits | Semester 2 | |

COMP3940 | Graph Algorithms and Complexity Theory | 10 credits | Semester 1 | |

COMP5940M | Graph Theory: Structure and Algorithms | 15 credits | Semester 2 | |

EDUC3060 | Mathematics Education | 10 credits | Semester 1 | |

MATH3015 | History of Mathematics | 15 credits | Semester 2 | |

MATH3021 | Philosophy of Logic and Mathematics | 20 credits | Semester 2 | |

MATH3033 | Graph Theory | 15 credits | Semester 1 | |

MATH3044 | Number Theory | 15 credits | Semester 2 | |

MATH3071 | Groups and Symmetry | 15 credits | Semester 1 | |

MATH3104 | Proof and Computation | 15 credits | Semester 2 | |

MATH3113 | Differential Geometry | 15 credits | Semester 2 | |

MATH3120 | Models and Sets | 15 credits | Semester 1 | |

MATH3143 | Combinatorics | 15 credits | Semester 2 | |

MATH3153 | Coding Theory | 15 credits | Semester 1 | |

MATH3193 | Algebras and Representations | 15 credits | Semester 1 | |

MATH3210 | Metric Spaces | 15 credits | Semester 1 | |

MATH3215 | Hilbert Spaces and Fourier Analysis | 15 credits | Semester 2 | |

MATH3225 | Topology | 15 credits | Semester 2 | |

MATH3232 | Transformation Geometry | 15 credits | Semester 1 | |

MATH3355 | Hamiltonian Systems | 15 credits | Semester 2 | |

MATH3365 | Mathematical Methods | 15 credits | Semester 1 | |

MATH3374 | Linear and Non-Linear Waves | 15 credits | Not running in 201718 | |

MATH3375 | Hydrodynamic Stability | 15 credits | Not running in 201718 | |

MATH3385 | Quantum Mechanics | 15 credits | Semester 1 | |

MATH3396 | Dynamical Systems | 15 credits | Not running in 201718 | |

MATH3397 | Nonlinear Dynamics | 15 credits | Semester 1 | |

MATH3414 | Analytic Solutions of Partial Differential Equations | 15 credits | Semester 1 | |

MATH3424 | Introduction to Entropy in the Physical World | 15 credits | Not running in 201718 | |

MATH3458 | Geophysical Fluid Dynamics | 15 credits | Semester 2 | |

MATH3474 | Numerical Methods | 10 credits | Semester 1 | |

MATH3475 | Modern Numerical Methods | 15 credits | Semester 2 | |

MATH3491 | Discrete Systems and Integrability | 15 credits | Not running in 201718 | |

MATH3510 | Actuarial Mathematics 1 | 15 credits | Semester 1 | |

MATH3520 | Actuarial Mathematics 2 | 15 credits | Semester 2 | |

MATH3531 | Cosmology | 10 credits | Semester 2 | |

MATH3565 | Mathematical Biology | 15 credits | Semester 1 | |

MATH3567 | Evolutionary Modelling | 15 credits | Semester 2 | |

MATH3620 | Fluid Dynamics 2 | 15 credits | Semester 1 | |

MATH5015M | Linear Analysis 1 | 20 credits | Semester 1 | |

MATH5021M | Philosophy of Logic and Mathematics | 20 credits | Semester 2 | |

MATH5104M | Advanced Proof and Computation | 20 credits | Semester 2 | |

MATH5113M | Advanced Differential Geometry | 20 credits | Semester 2 | |

MATH5120M | Advanced Models and Sets | 20 credits | Semester 1 | |

MATH5153M | Advanced Coding Theory | 20 credits | Semester 1 | |

MATH5246M | Fields and Galois Theory | 20 credits | Not running in 201718 | |

MATH5253M | Commutative Algebra and Algebraic Geometry | 20 credits | Semester 2 | |

MATH5325M | Models in Actuarial Science | 15 credits | Semester 2 | |

MATH5356M | Advanced Hamiltonian Systems | 20 credits | Semester 2 | |

MATH5366M | Advanced Mathematical Methods | 20 credits | Semester 1 | |

MATH5373M | Advanced Linear and Nonlinear Waves | 20 credits | Not running in 201718 | |

MATH5376M | Advanced Hydrodynamic Stability | 20 credits | Not running in 201718 | |

MATH5386M | Advanced Quantum Mechanics | 20 credits | Semester 1 | |

MATH5395M | Advanced Dynamical Systems | 20 credits | Not running in 201718 | |

MATH5398M | Advanced Nonlinear Dynamics | 20 credits | Semester 1 | |

MATH5424M | Advanced Entropy in the Physical World | 20 credits | Not running in 201718 | |

MATH5458M | Advanced Geophysical Fluid Dynamics | 20 credits | Semester 2 | |

MATH5476M | Advanced Modern Numerical Methods | 20 credits | Semester 2 | |

MATH5492M | Advanced Discrete Systems and Integrability | 20 credits | Not running in 201718 | |

MATH5566M | Advanced Mathematical Biology | 20 credits | Semester 1 | |

MATH5567M | Advanced Evolutionary Modelling | 20 credits | Semester 2 |

List C

EPIB3036 | Introduction to Clinical Trials | 15 credits | Semester 2 | |

MATH3714 | Linear Regression and Robustness | 15 credits | Semester 1 | |

MATH3723 | Statistical Theory | 15 credits | Semester 2 | |

MATH3733 | Stochastic Financial Modelling | 15 credits | Semester 2 | |

MATH3772 | Multivariate Analysis | 10 credits | Semester 1 | |

MATH3802 | Time Series | 10 credits | Semester 1 | |

MATH3820 | Bayesian Statistics | 10 credits | Semester 1 | |

MATH3823 | Generalised Linear Models | 10 credits | Semester 2 | |

MATH3880 | Introduction to Statistics and DNA | 10 credits | Semester 2 | |

MATH5714M | Linear Regression and Robustness and Smoothing | 20 credits | Semester 1 | |

MATH5772M | Multivariate and Cluster Analysis | 15 credits | Semester 1 | |

MATH5802M | Time Series and Spectral Analysis | 15 credits | Semester 1 | |

MATH5820M | Bayesian Statistics and Causality | 15 credits | Semester 1 | |

MATH5824M | Generalised Linear and Additive Models | 15 credits | Semester 2 | |

MATH5835M | Statistical Computing | 15 credits | Semester 1 | |

MATH5880M | Statistics and DNA | 15 credits | Semester 2 |

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

List C

MATH2051 | Geometry of Curves and Surfaces | 10 credits | Semester 1 | |

MATH2231 | Discrete Mathematics with Computation | 15 credits | Semester 2 | |

MATH2601 | Numerical Analysis with Computation | 15 credits | Semester 2 | |

MATH2650 | Calculus of Variations | 10 credits | Semester 2 | |

MATH2920 | Computational Mathematics | 10 credits | Semester 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

## Browse Other Catalogues

- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue

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