# 2024/25 Undergraduate Programme Catalogue

## BSc Mathematics *(For students entering from September 2024 onwards)*

Programme code: | BSMATH-R | UCAS code: | G100 |
---|---|---|---|

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

Programme manager: | Prof Kevin Houston | Contact address: | khouston@maths.leeds.ac.uk |

### Total credits: 360

### Entry requirements:

Entry Requirements are available on the Course Search entry

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

School of Mathematics

### Examination board through which the programme will be considered:

### Relevant QAA Subject Benchmark Groups:

Mathematics, Statistics and Operational Research

### Professional Body Offering Accreditation:

some exemptions from Institute and Faculty of Actuaries available, on satisfactory completion of specified modules

### Programme specification:

The information on this page is accurate for students entering the programme from September 2024. For students who entered the programme before September 2024, you can find the details of your programme: BSc Mathematics

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;

- prepare some students for further study in some branch of mathematics.

**Year1** - View timetable

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

**Compulsory modules:**

Students will be required to study the following compulsory modules:

MATH1000 | Core Mathematics | 40 credits | Semesters 1 & 2 (Sep to Jun) | |

MATH1013 | Computational Mathematics and Modelling | 20 credits | Semesters 1 & 2 (Sep to Jun) | |

MATH1110 | Real Analysis | 20 credits | Semesters 1 & 2 (Sep to Jun) | |

MATH1120 | Introduction to Group Theory | 10 credits | Semester 1 (Sep to Jan) | |

MATH1300 | Dynamics and Motion | 10 credits | Semester 2 (Jan to Jun) | |

MATH1700 | Probability and Statistics | 20 credits | Semesters 1 & 2 (Sep to Jun) |

Candidates wishing to continue studies in Pure Mathematics will need to pass MATH 1110 Real Analysis. Candidates wishing to continue studies in Statistics will need to pass MATH1700 Probability and Statistics.

**Optional modules:**

**Discovery modules:**

**Year2** - View timetable

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

We are currently refreshing our courses to make sure students have the best possible experience. Where there is no module code link below the full module details are not yet available. Before you are required to enrol on a module full details will be provided.

**Compulsory modules:**

Candidates will be required to study the following compulsory modules:

- Investigations in Mathematics - 20 credits

- Further Linear Algebra and Discrete Mathematics - 20 credits

- Vector Calculus and Transforms - 20 credits

**Optional modules:**

Candidates will be required to select a pathway from the following.

**Pure and Applied Mathematics Pathway**

Candidates must have passed MATH1110 Real Analysis in order to select the Pure and Applied Mathematics pathway. Candidates will additionally be required to study the following compulsory modules:

- Calculus, Curves and Complex Analysis - 20 credits

- Mathematical Modelling - 20 credits

Candidates will be required to select exactly one module from each of Lists A and B.

List A

- Introduction to Logic - 10 credits

- Optimisation - 10 credits

List B

- Rings and Polynomials - 10 credits

- Calculus of Variations - 10 credits

**Pure Mathematics and Statistics Pathway**

Candidates must have passed MATH1110 Real Analysis and MATH1700 Probability and Statistics in order to select the Pure Mathematics and Statistics pathway. Candidates on this will additionally be required to study the following compulsory modules.

- Calculus, Curves and Complex Analysis - 20 credits

- Statistical Methods - 20 credits

Candidates will be required to select exactly one module from each of Lists A and B.

List A

- Introduction to Logic - 10 credits

- Stochastic Processes - 10 credits

List B

- Rings and Polynomials - 10 credits

- Time Series - 10 credits

**Applied Mathematics and Statistics Pathway**

Candidates must have passed MATH1700 Probability and Statistics in order to select the Applied Mathematics and Statistics pathway. Candidates on this pathway will additionally be required to study the following compulsory modules:

- Statistical Methods - 20 credits

- Mathematical Modelling - 20 credits

Candidates will be required to select exactly one module from each of Lists A and B.

List A

- Stochastic Processes - 10 credits

- Optimisation - 10 credits

List B

- Time Series - 10 credits

MATH2650 | Calculus of Variations | 10 credits | Semester 2 (Jan to Jun) |

**Discovery modules:**

Candidates will be permitted to substitute any module(s) from Lists A or B with Discovery modules in the same semester, up to a total of 20 credits across the year.

**Year3** - View timetable

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

We are currently refreshing our courses to make sure students have the best possible experience. Where there is no module code link below the full module details are not yet available. Before you are required to enrol on a module full details will be provided.

**Compulsory modules:**

Candidates will be required to study the following compulsory module:

- Project in Mathematics - 40 credits

**Optional modules:**

Candidates will continue with the pathway they selected in Year 2, or they may choose to change to the Mathematics in Broader Perspective pathway.

**Pure and Applied Mathematics Pathway**

Candidates on the Pure and Applied Mathematics pathway will additionally be required to select two modules from List A (note that MATH3xxx Metric Spaces and Measure Theory and MATH3xxx Computational Applied Mathematics are mutually exclusive and may not both be selected) and exactly one module from each of Lists B and C.

List A

- Groups and Symmetry - 20 Credits

- Methods of Applied Mathematics - 20 credits

- Metric Spaces and Measure Theory - 20 credits

- Computational Applied Mathematics - 20 credits

List B

- Proof and Computation - 20 credits

- Numbers and Codes - 20 credits

- Entropy and Quantum Mechanics - 20 credits

- Fluid Dynamics - 20 credits

- Mathematics in Social Context C - 20 credits

List C

- Graph Theory and Combinatorics - 20 Credits

- Mathematical Biology - 20 Credits

- Differential Geometry - 20 credits

- Nonlinear Dynamics and Chaos - 20 credits

**Pure Mathematics and Statistics Pathway**

Candidates on the Pure Mathematics and Statistics pathway will additionally be required to select two modules from List A (note that MATH3xxx Metric Spaces and Measure Theory and MATH3xxx Actuarial Mathematics I are mutually exclusive and may not both be selected) and exactly one module from each of Lists B and C.

List A

- Groups and Symmetry - 20 Credits

- Actuarial Mathematics I - 20 Credits

- Statistical Modelling - 20 credits

- Metric Spaces and Measure Theory - 20 credits

List B

- Proof and Computation - 20 Credits

- Numbers and Codes - 20 credits

- Stochastic Calculus and Derivative Pricing - 20 credits

- Mathematics in Social Context C - 20 credits

List C

- Graph Theory and Combinatorics - 20 credits

- Differential Geometry - 20 credits

- Multivariate Analysis and Classification - 20 credits

- Actuarial Mathematics II - 20 credits

**Applied Mathematics and Statistics Pathway**

Candidates on the Applied Mathematics and Statistics pathway will additionally be required to select two modules from List A (note that MATH3xxx Computational Applied Mathematics and MATH3xxx Actuarial Mathematics I are mutually exclusive and may not both be selected) and exactly one module from each of Lists B and C.

List A

- Actuarial Mathematics I - 20 Credits

- Methods of Applied Mathematics - 20 credits

- Statistical Modelling - 20 credits

- Computational Applied Mathematics - 20 credits

List B

- Stochastic Calculus and Derivative Pricing - 20 credits

- Entropy and Quantum Mechanics - 20 credits

- Fluid Dynamics - 20 credits

- Mathematics in Social Context C - 20 credits

List C

- Multivariate Analysis and Classification - 20 credits

- Mathematical Biology - 20 credits

- Nonlinear Dynamics and Chaos - 20 credits

- Actuarial Mathematics II - 20 credits

**Mathematics in Broader Perspective Pathway**

Candidates from any pathway may choose to switch to the Mathematics in Broader Perspective pathway. Candidates on this pathway will be required to study the following additional compulsory module.

- Mathematics in Social Context A - 20 credits

Candidates will be required further to select either the following module or 20 credits of Discovery modules, equally balanced between Semesters 1 and 2.

- Mathematics in Social Context B - 20 credits

Candidates will be required to select one module from each of Lists A and B, subject to meeting any pre-requisite requirements.

List A

- Groups and Symmetry - 20 Credits

- Methods of Applied Mathematics - 20 credits

- Statistical Modelling - 20 credits

List B

- Graph Theory and Combinatorics - 20 Credits

- Mathematical Biology - 20 Credits

- Numbers and Codes - 20 credits

- Entropy and Quantum Mechanics - 20 credits

- Multivariate Analysis and Classification - 20 credits

**Discovery modules:**

Students on Pure and Applied Mathematics Pathway, Pure Mathematics and Statistics Pathway, Applied Mathematics and Statistics Pathway, Mathematics in Broader Perspective Pathway may substitute exactly one module from Lists A to C with 20 credits of Discovery modules in the same semester.

Last updated: 07/05/2024 12:38:06

## Browse Other Catalogues

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

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