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2017/18 Undergraduate Programme Catalogue

BSc Mathematical Studies

Programme code:BS-MATH-STUCAS 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.


Year1 - 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:

MATH1050Calculus and Mathematical Analysis10 creditsSemester 1 (Sep to Jan)
MATH1055Numbers and Vectors10 creditsSemester 1 (Sep to Jan)
MATH1060Introductory Linear Algebra10 creditsSemester 2 (Jan to Jun)
MATH1225Introduction to Geometry10 creditsSemester 1 (Sep to Jan)
MATH1400Modelling with Differential Equations10 creditsSemester 2 (Jan to Jun)
MATH1510Financial Mathematics 115 creditsSemester 2 (Jan to Jun)
MATH1710Probability and Statistics I10 creditsSemester 1 (Sep to Jan)
MATH1712Probability and Statistics II10 creditsSemester 2 (Jan to Jun)

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.


Year2 - 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:

MATH2365Vector Calculus15 creditsSemester 1 (Sep to Jan)

Optional modules:

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

MATH2022Groups and Vector Spaces15 creditsSemester 1 (Sep to Jan)
MATH2080Further Linear Algebra10 creditsSemester 1 (Sep to Jan)

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

MATH2017Real Analysis15 creditsSemester 2 (Jan to Jun)
MATH2026Rings, Fields and Polynomials10 creditsSemester 2 (Jan to Jun)
MATH2040Mathematical Logic 110 creditsSemester 1 (Sep to Jan)
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)
MATH2375Linear Differential Equations and Transforms15 creditsSemester 2 (Jan to Jun)
MATH2391Nonlinear Differential Equations10 creditsSemester 2 (Jan to Jun)
MATH2410Special Relativity10 creditsSemester 1 (Sep to Jan)
MATH2515Financial Mathematics 210 creditsSemester 1 (Sep to Jan)
MATH2525Financial Mathematics 310 creditsSemester 2 (Jan to Jun)
MATH2600Numerical Analysis10 creditsSemester 2 (Jan to Jun)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2620Fluid Dynamics 110 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 creditsSemester 1 (Sep to Jan)
MATH2740Environmental Statistics10 creditsSemester 2 (Jan to Jun)
MATH2750Introduction to Markov Processes10 creditsSemester 2 (Jan to Jun)
MATH2775Survival Analysis10 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

List C

EDUC2071School Mathematics from an Advanced (Undergraduate) Perspective10 creditsSemester 2 (Jan to Jun)
MATH2800Mathematics into Schools10 creditsSemesters 1 & 2 (Sep to Jun)
MATH2900Maths at Work10 creditsSemesters 1 & 2 (Sep to Jun)

!! 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.


Year3 - 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:

MATH3001Project in Mathematics20 creditsSemesters 1 & 2 (Sep to Jun)

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

COMP3910Combinatorial Optimisation10 creditsSemester 2 (Jan to Jun)
COMP3940Graph Algorithms and Complexity Theory10 creditsSemester 1 (Sep to Jan)
MATH3015History of Mathematics15 creditsSemester 2 (Jan to Jun)
MATH3021Philosophy of Logic and Mathematics20 creditsSemester 2 (Jan to Jun)
MATH3033Graph Theory15 creditsSemester 1 (Sep to Jan)
MATH3044Number Theory15 creditsSemester 2 (Jan to Jun)
MATH3071Groups and Symmetry15 creditsSemester 1 (Sep to Jan)
MATH3104Proof and Computation15 creditsSemester 2 (Jan to Jun)
MATH3113Differential Geometry15 creditsSemester 2 (Jan to Jun)
MATH3120Models and Sets15 creditsSemester 1 (Sep to Jan)
MATH3143Combinatorics15 creditsSemester 2 (Jan to Jun)
MATH3153Coding Theory15 creditsSemester 1 (Sep to Jan)
MATH3193Algebras and Representations15 creditsSemester 1 (Sep to Jan)
MATH3210Metric Spaces15 creditsSemester 1 (Sep to Jan)
MATH3225Topology15 creditsSemester 2 (Jan to Jun)
MATH3232Transformation Geometry15 creditsSemester 1 (Sep to Jan)
MATH3355Hamiltonian Systems15 creditsSemester 2 (Jan to Jun)
MATH3365Mathematical Methods15 creditsSemester 1 (Sep to Jan)
MATH3374Linear and Non-Linear Waves15 creditsNot running in 201718
MATH3375Hydrodynamic Stability15 creditsNot running in 201718
MATH3385Quantum Mechanics15 creditsSemester 1 (Sep to Jan)
MATH3396Dynamical Systems15 creditsNot running in 201718
MATH3397Nonlinear Dynamics15 creditsSemester 1 (Sep to Jan)
MATH3414Analytic Solutions of Partial Differential Equations15 creditsSemester 1 (Sep to Jan)
MATH3424Introduction to Entropy in the Physical World15 creditsNot running in 201718
MATH3458Geophysical Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH3459Astrophysical Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH3474Numerical Methods10 creditsSemester 1 (Sep to Jan)
MATH3475Modern Numerical Methods15 creditsSemester 2 (Jan to Jun)
MATH3491Discrete Systems and Integrability15 creditsNot running in 201718
MATH3510Actuarial Mathematics 115 creditsSemester 1 (Sep to Jan)
MATH3520Actuarial Mathematics 215 creditsSemester 2 (Jan to Jun)
MATH3531Cosmology10 creditsSemester 2 (Jan to Jun)
MATH3565Mathematical Biology15 creditsSemester 1 (Sep to Jan)
MATH3567Evolutionary Modelling15 creditsSemester 2 (Jan to Jun)
MATH3620Fluid Dynamics 215 creditsSemester 1 (Sep to Jan)
MATH3714Linear Regression and Robustness15 creditsSemester 1 (Sep to Jan)
MATH3723Statistical Theory15 creditsSemester 2 (Jan to Jun)
MATH3733Stochastic Financial Modelling15 creditsSemester 2 (Jan to Jun)
MATH3772Multivariate Analysis10 creditsSemester 1 (Sep to Jan)
MATH3802Time Series10 creditsSemester 1 (Sep to Jan)
MATH3820Bayesian Statistics10 creditsSemester 1 (Sep to Jan)
MATH3823Generalised Linear Models10 creditsSemester 2 (Jan to Jun)
MATH3880Introduction to Statistics and DNA10 creditsSemester 2 (Jan to Jun)

List B

EDUC3060Mathematics Education10 creditsSemester 1 (Sep to Jan)
EPIB3036Introduction to Clinical Trials15 creditsSemester 2 (Jan to Jun)
MATH2017Real Analysis15 creditsSemester 2 (Jan to Jun)
MATH2026Rings, Fields and Polynomials10 creditsSemester 2 (Jan to Jun)
MATH2040Mathematical Logic 110 creditsSemester 1 (Sep to Jan)
MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2080Further Linear Algebra10 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)
MATH2375Linear Differential Equations and Transforms15 creditsSemester 2 (Jan to Jun)
MATH2391Nonlinear Differential Equations10 creditsSemester 2 (Jan to Jun)
MATH2410Special Relativity10 creditsSemester 1 (Sep to Jan)
MATH2515Financial Mathematics 210 creditsSemester 1 (Sep to Jan)
MATH2525Financial Mathematics 310 creditsSemester 2 (Jan to Jun)
MATH2600Numerical Analysis10 creditsSemester 2 (Jan to Jun)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2620Fluid Dynamics 110 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 creditsSemester 1 (Sep to Jan)
MATH2740Environmental Statistics10 creditsSemester 2 (Jan to Jun)
MATH2750Introduction to Markov Processes10 creditsSemester 2 (Jan to Jun)
MATH2775Survival Analysis10 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

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

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