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2024/25 Undergraduate Programme Catalogue

MMath, BSc Mathematics (Single degree scheme)(For students entering from September 2024 onwards)

Programme code:MMBSMATH-RUCAS code:G101
Duration:4 Years Method of Attendance: Full Time
Programme manager:Dr Paul Shafer Contact address:P.E.Shafer@leeds.ac.uk

Total credits: 480

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:

MMath, BSc Mathematics (Single degree scheme)

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;
- broaden and deepen the mathematical background of students;
- prepare students to work in fields where specific and broadly based advanced mathematical knowledge is required;
- enable students to embark on research in some area of mathematics or statistics;
- for those spending the year abroad in a non-English speaking country, enable the students to learn a foreign language and use it in studying mathematics at a University abroad;
- give students the opportunity to experience a wide and deep mathematics curriculum;
- give students the chance to undertake a substantial project.


Year1 - View timetable

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

Compulsory modules:

Candidates will be required to study the following compulsory modules

MATH1000Core Mathematics40 creditsSemesters 1 & 2 (Sep to Jun)
MATH1013Computational Mathematics and Modelling20 creditsSemesters 1 & 2 (Sep to Jun)
MATH1110Real Analysis20 creditsSemesters 1 & 2 (Sep to Jun)
MATH1120Introduction to Group Theory10 creditsSemester 1 (Sep to Jan)
MATH1300Dynamics and Motion10 creditsSemester 2 (Jan to Jun)
MATH1700Probability and Statistics20 creditsSemesters 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.


Year2 - View timetable

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

We are currently refreshing our courses to make sure students have the best possible experience. Full module details for years 2, 3 and 4 are not yet available. Before you enter years 2, 3 and 4 details of modules for those years will be provided.

Compulsory modules:

Candidates will be required to study the following compulsory modules:

* Further Linear Algebra and Discrete Mathematics - 20 Credits
* Vector Calculus and Transforms - 20 Credits
* Investigations in Mathematics - 20 Credits

Optional modules:

Pure and Applied Mathematics Pathway
Candidates must have passed MATH1110 Real Analysis in order to select the Pure and Applied Mathematics pathway. Candidates on the Pure and Applied Mathematics pathway 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 study 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 the Pure Mathematics and Statistics pathway 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 the Applied Mathematics and Statistics 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
* Calculus of Variations - 10 credits

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. Full module details for years 3 and 4 are not yet available. Before you enter years 3 and 4 details of modules for those years 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.

Pure and Applied Mathematics Pathway
Candidates on the Pure and Applied Mathematics pathway will additionally be required to study two modules from List A (note that MATHxxxx Metric Spaces and Measure Theory and MATHyyyy 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
* Numbers and Codes - 20 Credits
* Proof and Computation - 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
* Differential Geometry - 20 Credits
* Mathematical Biology - 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
* Statistical Modelling - 20 Credits
* Metric Spaces and Measure Theory - 20 Credits
* Actuarial Mathematics I - 20 credits

List B
* Numbers and Codes - 20 Credits
* Proof and Computation - 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 MATH3350 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
* Methods of Applied Mathematics - 20 Credits
* Statistical Modelling - 20 Credits
* Computational Applied Mathematics - 20 Credits
* Actuarial Mathematics I - 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

Discovery modules:

Candidates will be permitted to substitute up to 20 credits from List B or C with 20 credits of Discovery modules in Semester 2.


Year4 - View timetable

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

We are currently refreshing our courses to make sure students have the best possible experience. Full module details for years 4 are not yet available. Before you enter years 4 details of modules for those years will be provided.

Compulsory modules:

Candidates will be required to study the following compulsory module:
* Assignment in Mathematics - 20 Credits

Optional modules:

Candidates will continue with the pathway they selected in Year 2.

Pure and Applied Mathematics Pathway
Candidates on the Pure and Applied Mathematics pathway will additionally be required to study three modules from List A and two modules from List B.
List A
* Topology - 15 Credits
* Models and Sets - 15 Credits
* Hilbert Spaces - 15 credits
* Evolutionary Dynamics - 15 Credits
* Advanced Mathematical Methods - 15 Credits
* Astrophysical and Geophysical Fluids - 15 Credits

List B
* Astrophysical and Geophysical Fluids - 15 Credits
* Algebras and Representations - 15 Credits
* Environmental and Industrial Flows - 15 Credits
* Hamiltonian Systems and Solitons - 15 Credits

Pure Mathematics and Statistics Pathway
Candidates on the Pure Mathematics and Statistics pathway will additionally be required to study three modules from List A and two modules from List B.
List A
* Topology - 15 Credits
* Models and Sets - 15 Credits
* Functional Analysis and its Applications - 15 Credits
* Statistical Theory - 15 Credits
* Statistical Computing - 15 Credits

List B
* Riemannian Geometry - 15 Credits
* Algebras and Representations - 15 Credits
* Advanced Statistical Modelling - 15 Credits

Applied Mathematics and Statistics Pathway
Candidates on the Applied Mathematics and Statistics pathway will additionally be required to study three modules from List A and two modules from List B.
List A
* Statistical Theory - 15 Credits
* Statistical Computing - 15 Credits
* Evolutionary Modelling - 15 Credits
* Advanced Mathematical Methods - 15 Credits
* Astrophysical and Geophysical Fluids - 15 Credits

List B
* Advanced Statistical Modelling - 15 Credits
* Environmental and Industrial Flows - 15 Credits
* Classical and Quantum Hamiltonian Systems - 15 Credits

Last updated: 08/05/2024 15:01:20

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