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2016/17 Undergraduate Programme Catalogue

BSc Mathematics and Statistics

Programme code:BS-MATH&STATUCAS code:GG13
Duration:3 Years Method of Attendance: Full Time
Programme manager:Dr Andrew Baczkowski Contact address:A.J.Baczkowski@leeds.ac.uk

Total credits: 360

Entry requirements:

Typical offer is AAA with an A in Mathematics or A*AB with an 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 and statistics;
- meet the needs of students with varied mathematical and statistical backgrounds and with different aspirations within mathematics and statistics;
- enable the student to appreciate the coherence, logical structure, and broad applicability of mathematics and statistics;
- impart an awareness of the values of research and scholarship in mathematicsand statistics;
- accustom students to the use of tools, including libraries and computers, that are available to mathematicians and statisticians;
- provide a thorough training in the intellectual skills and advanced techniques of modern mathematics and statistics;
- develop the ability of students to abstract and generalize, to model various phenomena, and to interpret numerical data;
- enable future mathematicians and statisticians to develop the skills associated with problem solving, rigorous argument and communication;
- educate new mathematicians and statisticians to meet the needs of employers, including those in industry, finance, education and the public services;
- broaden and deepen the mathematical and statistical background of students;
- prepare students to work in fields where specific and broadly based advanced mathematical and statistical knowledge is required;
- enable students to embark on research in some area of mathematics and statistics;
- give students the opportunity to experience a wide and deep mathematics and statistics 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 the academic year.

Compulsory modules:

Students will be required to take the following compulsory modules.

MATH1010Mathematics 125 creditsSemester 1 (Sep to Jan)
MATH1012Mathematics 225 creditsSemester 2 (Jan 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)
MATH1510Financial Mathematics 115 creditsSemester 2 (Jan to Jun)

In all cases that 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 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 the academic year.

Compulsory modules:

Students must take the following compulsory modules:

MATH2016Analysis15 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)

Optional modules:

Students must choose at least 30 credits from the following list, including at least two of MATH2715, MATH2735 or MATH2750.

In order to progress to Year 3 of the programme, in addition to the usual requirements candidates need to pass MATH2715 or MATH2735.

LIST A

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)

Students can choose further modules from the list below. If students have only chosen 30 credits from LIST A, they must choose at least one module from LIST B.

LIST B

EDUC2071School Mathematics from an Advanced (Undergraduate) Perspective10 creditsSemester 2 (Jan to Jun)
MATH2026Rings, Fields and Polynomials10 creditsSemester 2 (Jan to Jun)
MATH2040Mathematical Logic 110 creditsSemester 2 (Jan to Jun)
MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2210Introduction to Discrete Mathematics10 creditsSemester 1 (Sep to Jan)
MATH2340The Mathematics of Music10 creditsSemester 1 (Sep to Jan)
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)
MATH2800Mathematics into Schools10 creditsSemesters 1 & 2 (Sep to Jun)
MATH2900Maths at Work10 creditsSemesters 1 & 2 (Sep to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

MATH2920 is expected to be compulsory from 2017/18 onwards.

!! 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 modules chosen from LIST A and B, students can take up to 20 credits of Discovery modules at level 1 or 2.


Year3 - View timetable

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

Students must enrol on exactly 120 or 125 credits in the academic year, with no more than 20 credits at level 1 or 2.

In order to qualify for the degree, in addition to the usual degree rules, students must pass at least 40 credits of level 3 Mathematics (not Statistics) and at least 40 credits of level 3 Statistics modules. (EDUC3060, COMP3910 and COMP3940 count as a Mathematics module and EPIB3036 counts as a Statistics module for this purpose).

Compulsory modules:

Student must take the following compulsory module:

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

Optional modules:

Students must choose at least 40 credits from List A and at least 40 credits from LIST B.

For students to gain Royal Statistical Society Accreditation, they will need to pass at least 60 credits of level 3 Statistics modules.

List A

COMP3910Combinatorial Optimisation10 creditsSemester 1 (Sep to Jan)
COMP3940Graph Algorithms and Complexity Theory10 creditsSemester 1 (Sep to Jan)
EDUC3060Mathematics Education10 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)
MATH3215Hilbert Spaces and Fourier Analysis15 creditsSemester 2 (Jan to Jun)
MATH3225Topology15 creditsSemester 2 (Jan to Jun)
MATH3232Transformation Geometry15 creditsSemester 1 (Sep to Jan)
MATH3355Hamiltonian Systems15 creditsNot running in 201617
MATH3365Mathematical Methods15 creditsSemester 1 (Sep to Jan)
MATH3374Linear and Non-Linear Waves15 creditsSemester 2 (Jan to Jun)
MATH3375Hydrodynamic Stability15 creditsSemester 2 (Jan to Jun)
MATH3385Quantum Mechanics15 creditsNot running in 201617
MATH3396Dynamical Systems15 creditsSemester 2 (Jan to Jun)
MATH3397Nonlinear Dynamics15 creditsNot running in 201617
MATH3414Analytic Solutions of Partial Differential Equations15 creditsSemester 1 (Sep to Jan)
MATH3424Introduction to Entropy in the Physical World15 creditsSemester 2 (Jan to Jun)
MATH3458Geophysical Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH3459Astrophysical Fluid Dynamics15 creditsNot running in 201617
MATH3474Numerical Methods10 creditsSemester 1 (Sep to Jan)
MATH3475Modern Numerical Methods15 creditsNot running in 201617
MATH3491Discrete Systems and Integrability15 creditsSemester 1 (Sep to Jan)
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 creditsNot running in 201617
MATH3620Fluid Dynamics 215 creditsSemester 1 (Sep to Jan)

List B

EPIB3036Introduction to Clinical Trials15 creditsSemester 2 (Jan to Jun)
MATH3714Linear Regression and Robustness15 creditsSemester 1 (Sep to Jan)
MATH3723Statistical Theory15 creditsSemester 2 (Jan to Jun)
MATH3733Stochastic Financial Modelling15 creditsSemester 1 (Sep to Jan)
MATH3772Multivariate Analysis10 creditsSemester 1 (Sep to Jan)
MATH3802Time Series10 creditsSemester 2 (Jan to Jun)
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)

Additional options may be chosen from List C, as well as Discovery modules see below.

MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2650Calculus of Variations10 creditsSemester 2 (Jan to Jun)
MATH2775Survival Analysis10 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

Discovery modules:

Candidates may study up to 20 credits of discovery modules at level 2 or 3, including MATH modules and level 1 Skills modules. Choices are subject to the approval of the Head of the School of Mathematics.

Last updated: 13/05/2016

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