# 2017/18 Undergraduate Programme Catalogue

## BSc Mathematical Studies

Programme code: | BS-MATH-ST | UCAS code: | G150 |
---|---|---|---|

Duration: | 3 Years |
Method of Attendance: | Full Time |

Programme manager: | Dr Vladimir Kisil | Contact address: | v.kisil@leeds.ac.uk |

### Total credits: 360

### 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:

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;

- accustom students to the use of tools, including libraries, on-line resources and computers, that are available to mathematicians;

- develop skills in modelling, interpretation of data, problem solving and rigorous argument;

- educate new mathematicians to meet the needs of employers, including those in industry, finance, education and the public services;

- enable the student to study other subjects at university level whilst studying mathematics;

- enable students to study up to a third of their modules as electives from other disciplines.

**Year 1** - View timetable

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

Students must enrol on exactly 120 or 125 credits in each year of the programme.

**Compulsory modules:**

Candidates will be required to study the following compulsory modules:

MATH1050 | Calculus and Mathematical Analysis | 10 credits | Semester 1 | |

MATH1055 | Numbers and Vectors | 10 credits | Semester 1 | |

MATH1060 | Introductory Linear Algebra | 10 credits | Semester 2 | |

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

MATH1400 | Modelling with Differential Equations | 10 credits | Semester 2 | |

MATH1510 | Financial Mathematics 1 | 15 credits | Semester 2 | |

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

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

**Discovery modules:**

Students must take up to 35 or 40 credits of Discovery modules for a total of 120 or 125 credits. 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 year of the programme.

**Compulsory modules:**

MATH2365 | Vector Calculus | 15 credits | Semester 1 |

**Optional modules:**

Student's must take exactly one of the following two modules (these are mutually exclusive):

List A

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

MATH2080 | Further Linear Algebra | 10 credits | Semester 1 |

Students must take additional modules from the following Lists B and C for a total of at least 80 credits (90 credits, if all three modules in List C are chosen) of Maths modules (EDUC2071 counts here as a Maths module).

List B

MATH2017 | Real Analysis | 15 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 | |

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

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 | |

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 | |

MATH2920 | Computational Mathematics | 10 credits | Semester 1 |

List C

EDUC2071 | School Mathematics from an Advanced (Undergraduate) Perspective | 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 to make sure that they have the necessary prerequisites. Please refer to the information from the Programme Meetings.

**Discovery modules:**

Depending on the choices from LIST A, B and C, students may choose up to 45 credits of discovery modules. Discovery modules may be chosen at level 1 or 2 with at most 20 credits at level 1.

Choices are subject to the approval of the Head of the School of Mathematics.

**Year 3** - View timetable

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

Students must enrol on exactly 120 or 125 credits in each year of the programme.

**Compulsory modules:**

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

**Optional modules:**

Overall, students must take 120 or 125 credits, with at least 100 credits at Level 3.

Students must choose at least 60 credits from Lists A and B, with at least 40 credits from List A.

List A

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

COMP3940 | Graph Algorithms and Complexity Theory | 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 | |

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 | |

MATH3459 | Astrophysical 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 | |

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 |

List B

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

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

MATH2017 | Real Analysis | 15 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 | |

MATH2080 | Further Linear Algebra | 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 | |

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

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 | |

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 | |

MATH2920 | Computational Mathematics | 10 credits | Semester 1 |

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

The choice of options is subject to timetabling constraints.

**Discovery modules:**

At most 45 credits may be chosen as discovery modules.

Overall, up to 20 credits may be chosen at level 2, or from level 1 skills Discovery modules. Choices are subject to the approval of the Head of the School of Mathematics.

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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