BSc Mathematics School of Mathematics UCAS Code: G100

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School of Mathematics

FACULTY OF MATHEMATICS AND PHYSICAL SCIENCES

BSc Mathematics

UCAS Code: G100

Programme Structure: Year One

Compulsory modules:

Typical Offer

AAA or A*AB

AAB, A*BB or A*AC, including Further Maths A-Level

AAB, A*BB or A*AC, including Further Maths AS-Level at grade A.

In all cases, the first quoted grade is the Mathematics A-

Level.

Variants

This is a three year full time programme. There is opportunity to do our Study Abroad or Year in Industry schemes, which would make the programme a four year degree.

MATH 1010 Mathematics 1: an introduction to advanced integration techniques, partial differentiation (the study of functions of more than one variable) and to matrix algebra techniques for simultaneous equations.

MATH 1012 Mathematics 2: building on matrix algebra, abstract linear algebra is developed. Using the tools of calculus, ordinary differential equations are studied, with applications to mechanics.

MATH 1025 Number Systems: exposure to the language of abstract mathematics: sets, functions, proof techniques and mathematical typesetting software. Many students choose to do the BSc degree (G100) but if you decide you wish to change to the MMath, BSc degree

(G101) then this is possible as the first two years of the programmes are identical. You must achieve an average of at least 58 (on the 0 – 100 scale) in your second year to progress to the third year of the MMath, BSc degree.

Programme Aims

This is one of our most popular degree courses. It gives you the strongest mathematical foundation, and the greatest flexibility to specialise within mathematics, according to your interests and aspirations.

MATH 1026 Sets, Sequences and Series: study of limits and convergence of sequences of real numbers.

MATH 1710 Probability and Statistics I : introducing probability, random variables and statistical learning.

MATH 1712 Probability and Statistics II : covering sampling, statistical tests and regression techniques.

Additionally up to two of the following optional modules:

MATH 1225 Introduction to Geometry: you will use diagrams to understand problems and to help formulate rigorous proofs.

MATH 1510 Financial Mathematics 1: introduction to financial mathematics and the application of mathematics to financial problems.

MATH 1920 Computational Mathematics: how computers can be used to study and solve mathematical problems.

PLUS up to 20 credits of Discovery Modules can be taken each year. You can choose these from anywhere across the

University according to your interests or future career plans.

Some of the most popular Discovery Modules are in modern languages, management, music, philosophy and psychology.

BSc Mathematics

Programme Structure: Year Two

Compulsory modules, covering half of the year (60 credits):

MATH 2016 Analysis: study continuity and integration in a rigorous way, and study Complex Analysis in depth.

MATH 2022 Groups and Vector Spaces: an introduction to abstract algebraic ideas, through a study of groups (abstract symmetry) and vector spaces.

MATH 2365 Vector Calculus: study differentiation and integration in 2, 3 and higher dimensional space.

MATH 2375 Linear Differential Equations and

Transforms: study and solve Partial Differential Equations which arise from wave and diffusion problems in the real world.

PLUS at least 40 credits of optional modules from over 20 choices (mostly 10 credits each).

For example, MATH 2051 Geometry of Curves and

Surfaces (study parameterised curves and their properties such as curvature, and then generalise to surfaces), MATH

2620 Fluid Dynamics 1 (how to mathematically model fluid flow, including vorticity, dynamics and flows in open channels) or MATH 2750 Introduction to Markov

Processes (the study of repeated random processes, with applications in biological, financial and actuarial sciences).

You may also choose up to 20 credits of Discovery

Modules.

Programme Structure: Year Three

You will undertake a final year project, and take options from a wide range of pure and applied mathematics and statistics.

Overall you will take 120 to 125 credits of modules, with at least 100 credits from over 35 Mathematics modules, including MATH 3015 History of Mathematics (study the historical development of specific topics central to mathematics such as calculus or probability), MATH 3104

Proof and Computation (the study of axiomatic systems: are they consistent and complete? What is it possible to compute?), MATH 3225 Topology (the study of properties of mathematical spaces which are invariant under continuous deformations), MATH 3385 Quantum

Mechanics (study a cornerstone of 20 th

century mathematical physics), MATH 3458 Geophysical Fluid

Dynamics (a focus on wave-like motions in the Earth's atmosphere and ocean), MATH 3880 Introduction to

Statistics and DNA (an introduction to the biology and statistics of data on evolution, genetics and gene expression) or MATH 3723 Statistical Theory (a unified theory of the problems of estimation and hypotheses testing).

You may also choose up to 20 credits of Discovery

Modules, and/or up to 40 credits of selected modules from other schools, including COMP 3920 Parallel Scientific

Computing (the theory of writing scientific computer programmes which take advantage of multi-processor computers) and EPIB 3036 Introduction to Clinical Trials

(the statistics of clinical trial design, conduct, analysis and reporting).

For further details on all the modules associated with the programme please see the programme catalogue at: http://webprod3.leeds.ac.uk/catalogue/dynprogrammes.

asp?P=BS-MATH

For further details on all the Discovery Modules please see the modules catalogue (ensure you select ‘search by

Discovery Modules’) http://webprod3.leeds.ac.uk/catalogue/modulesearch.as

p?T=S&L=UG

Important Information

Information provided by the University such as in presentations, University brochures and the University website, is accurate at the time of first disclosure. However, courses, University services and content of publications remain subject to change. Changes may be necessary to comply with the requirements of accrediting bodies or to keep courses contemporary through updating practices or areas of study. Circumstances may arise outside the reasonable control of the University, leading to required changes. Such circumstances include, industrial action, unexpected student numbers, significant staff illness (where a course is reliant upon a person’s expertise), unexpected lack of funding, severe weather, fire, civil disorder, political unrest, government restrictions and serious concern with regard to the transmission of serious illness making a course unsafe to deliver. After a student has taken up a place with the University, the University will look to give early notification of any changes and try to minimise their impact, offering suitable alternative arrangements or forms of compensation where it believes there is a fair case to do so. Offers of a place to study at the University will provide up to date information on courses.

The latest key information on courses can be found at www.leeds.ac.uk/coursefinder

Please check this website before making any decisions.

School of Mathematics

University of Leeds

Leeds, LS2 9JT

United Kingdom maths.admiss@leeds.ac.uk www.maths.leeds.ac.uk/undergraduate

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