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2023/24 Undergraduate Programme Catalogue

MMath, BSc Mathematics (International) (Single degree scheme)

Programme code:MMBS-MATH9UCAS code:
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:

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:

This Integrated Masters programme is for students who have entered University in 2007 or later.

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]

Students must enrol on exactly 120 or 125 credits in each academic year.

Compulsory modules:

Students will be required to take the following compulsory modules.

MATH1005Core Mathematics50 creditsSemesters 1 & 2 (Sep to Jun)
MATH1025Number Systems15 creditsSemester 1 (Sep to Jan)
MATH1026Sets, Sequences and Series15 creditsSemester 2 (Jan to Jun)
MATH1710Probability and Statistics I10 creditsSemester 1 (Sep to Jan)
MATH1712Probability and Statistics II10 creditsSemester 2 (Jan to Jun)

Optional modules:

Candidates may take up to 25 credits from the optional modules below:

MATH1225Introduction to Geometry10 creditsSemester 1 (Sep to Jan)
MATH1515Interest Rates and Cashflow Modelling15 creditsSemester 2 (Jan to Jun)

In all cases the choice of modules is subject to the approval of the Head of the School of Mathematics.

Discovery modules:

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


Year2 - View timetable

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

Students must enrol on exactly 120 or 125 credits in each 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 Mathematics programme.

Compulsory modules:

Students are required to study the following compulsory modules.

MATH2017Real Analysis15 creditsSemester 2 (Jan to Jun)
MATH2022Groups and Vector Spaces15 creditsSemester 1 (Sep to Jan)
MATH2365Vector Calculus15 creditsSemester 1 (Sep to Jan)
MATH2375Linear Differential Equations and Transforms15 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

Optional modules:

Students are required to take at least 30 credits from the following optional module lists:

List A
Students must take at least 20 credits from List A:

MATH2027Rings and Polynomials10 creditsSemester 2 (Jan to Jun)
MATH2041Logic10 creditsSemester 1 (Sep to Jan)
MATH2042Logic with Computation15 creditsNot running in 202324
MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2230Discrete Mathematics10 creditsSemester 2 (Jan to Jun)
MATH2231Discrete Mathematics with Computation15 creditsSemester 2 (Jan to Jun)
MATH2340The Mathematics of Music10 creditsSemester 1 (Sep to Jan)
MATH2391Nonlinear Differential Equations10 creditsSemester 2 (Jan to Jun)
MATH2535Financial Mathematics: Risk10 creditsSemester 1 (Sep to Jan)
MATH2545Financial Mathematics: Markets10 creditsSemester 2 (Jan to Jun)
MATH2600Numerical Analysis10 creditsSemester 2 (Jan to Jun)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2625Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH2640Introduction to Optimisation10 creditsSemester 1 (Sep to Jan)
MATH2650Calculus of Variations10 creditsSemester 2 (Jan to Jun)
MATH2715Statistical Methods10 creditsSemester 1 (Sep to Jan)
MATH2735Statistical Modelling10 creditsNot running in 202324
MATH2740Environmental Statistics10 creditsNot running in 202324
MATH2750Introduction to Markov Processes10 creditsSemester 2 (Jan to Jun)
MATH2775Survival Analysis10 creditsSemester 2 (Jan to Jun)

Further modules can be chosen from List B:

HPSC2150History of Science in 10 Objects20 creditsSemester 1 (Sep to Jan)
MATH2800Mathematics into Schools10 creditsSemesters 1 & 2 (Sep to Jun)
MATH2900Maths at Work10 creditsSemesters 1 & 2 (Sep to Jun)

Discovery modules:

At most 20 credits may be chosen as discovery modules. Discovery modules may be chosen at Level 1 or Level 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.

Altogether students may not take more than 20 credits in Level 1 modules. Choices are subject to the approval of the Programme Manager.


Year3 - View timetable

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

Optional modules:

For Study Abroad Students
If you register for Study Year Abroad, you will select MATH9001 Study Abroad and you will be expected to select mostly Mathematics courses at a non-UK University.

MATH9004Year Abroad120 creditsSemesters 1 & 2 (Sep to Jun)

OR


Year4 - View timetable

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

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

Optional modules:

Students must take 120 or 125 credits at Level 5 with at least 100 credits from list A and B.

List A.

Students must take exactly one of the project modules below in List A.

MATH5003MAssignment in Mathematics (30cr)30 creditsSemesters 1 & 2 (Sep to Jun)
MATH5004MAssignment in Mathematics (40cr)40 creditsSemesters 1 & 2 (Sep to Jun)

List B.

MATH5021MPhilosophy of Logic and Mathematics20 creditsNot running in 202324
MATH5071MGroups, Symmetry and Galois Theory20 creditsSemester 1 (Sep to Jan)
MATH5104MAdvanced Proof and Computation20 creditsSemester 2 (Jan to Jun)
MATH5113MAdvanced Differential Geometry20 creditsSemester 2 (Jan to Jun)
MATH5120MAdvanced Models and Sets20 creditsSemester 1 (Sep to Jan)
MATH5195MAdvanced Commutative Rings and Algebraic Geometry20 creditsSemester 2 (Jan to Jun)
MATH5211MMetric Spaces and Functional Analysis20 creditsSemester 1 (Sep to Jan)
MATH5216MHilbert Spaces and Advanced Fourier Analysis20 creditsNot running in 202324
MATH5356MAdvanced Hamiltonian Systems20 creditsSemester 2 (Jan to Jun)
MATH5366MAdvanced Mathematical Methods20 creditsSemester 1 (Sep to Jan)
MATH5373MAdvanced Linear and Nonlinear Waves20 creditsNot running in 202324
MATH5376MAdvanced Hydrodynamic Stability20 creditsNot running in 202324
MATH5386MAdvanced Quantum Mechanics20 creditsNot running in 202324
MATH5395MAdvanced Dynamical Systems20 creditsNot running in 202324
MATH5398MAdvanced Nonlinear Dynamics20 creditsSemester 1 (Sep to Jan)
MATH5424MAdvanced Entropy in the Physical World20 creditsNot running in 202324
MATH5458MAdvanced Geophysical Fluid Dynamics20 creditsNot running in 202324
MATH5459MAdvanced Astrophysical Fluid Dynamics20 creditsSemester 2 (Jan to Jun)
MATH5476MAdvanced Modern Numerical Methods20 creditsNot running in 202324
MATH5492MAdvanced Discrete Systems and Integrability20 creditsNot running in 202324
MATH5566MAdvanced Mathematical Biology20 creditsSemester 1 (Sep to Jan)
MATH5567MAdvanced Evolutionary Modelling20 creditsSemester 2 (Jan to Jun)
MATH5714MLinear Regression, Robustness and Smoothing20 creditsSemester 1 (Sep to Jan)
MATH5772MMultivariate and Cluster Analysis15 creditsSemester 1 (Sep to Jan)
MATH5802MTime Series and Spectral Analysis15 creditsSemester 1 (Sep to Jan)
MATH5820MBayesian Statistics and Causality15 creditsNot running in 202324
MATH5824MGeneralised Linear and Additive Models15 creditsSemester 2 (Jan to Jun)
MATH5835MStatistical Computing15 creditsSemester 1 (Sep to Jan)

Discovery modules:

At most 20 credits of Level 5M modules may be chosen as Discovery modules. Choices are subject to the approval of the Programme Manager.


Year5 - View timetable

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

Last updated: 28/04/2023 14:31:27

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