School of Mathematics FACULTY OF MATHEMATICS AND PHYSICAL SCIENCES BSc Mathematical Studies UCAS Code: G150 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 ALevel. 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. Programme Aims The Mathematical Studies course shares many common features with the Mathematics programme, the main difference being the amount of time spent on subjects outside mathematics. At least two-thirds of your degree will be in mathematics modules. For the remainder of your degree you will have the choice to study a range of discovery modules outside of mathematics. Programme Structure: Year One Compulsory modules: MATH 1050 Calculus and Mathematical Analysis: revision of integration and differentiation, and extensions to more than one dimension. MATH 1055 Numbers and Vectors: introducing you to th three influential developments from the 19 century – complex numbers, vectors and the rigorous notion of limit. MATH 1060 Introductory Linear Algebra: covers the ideas involved in solving simultaneous equations, and using matrices and determinants. MATH1400 Modelling with Differential Equations: developing the theory of differential equations and applying it to produce mathematical models. 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 at least 2 of the following choices: 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: use of, and limits of, computers for solving mathematical problems. PLUS up to 40 credits (one-third of the year) of Discovery Modules. You can choose these from anywhere across the University of Leeds 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 Mathematical Studies Programme Structure: Year Two Compulsory modules: MATH 2365 Vector Calculus Study differentiation and integration in 2, 3 and higher dimensional space. expression) or MATH 3723 Statistical Theory (a unified theory of the problems of estimation and hypotheses testing). PLUS up to 45 credits (one-third of the year) of Discovery Modules. MATH 2022 Groups and Vector Spaces An introduction to abstract algebraic ideas, through a study of groups (abstract symmetry) and vector spaces. Please note that this programme structure is only confirmed for current students, and may change for future enrolments. or For further details on all the modules associated with the programme please see the programme catalogue at: MATH 2080 Further Linear Algebra Develops the notions of an abstract vector space and linear maps, building on the theory of matrices. http://webprod3.leeds.ac.uk/catalogue/dynprogrammes. asp?P=BS-MATH-ST Additionally optional modules from a choice of over 20 Mathematics and Statistics modules (mostly 10 credits) including MATH 2016 Analysis (study continuity and integration in a rigorous way, and study Complex Analysis in depth), MATH 2375 Linear Differential Equations and Transforms (study and solve Partial Differential Equations which arise from wave and diffusion problems in the real world), 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). PLUS up to 45 credits (one-third of the year) 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, as well as Discovery Modules. Overall you will take 120 to 125 credits of modules, with at least 80 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 th Mechanics (study a cornerstone of 20 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 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