Application to Graduation
• This is a rough guide to the options available to students on the 16 different courses available in the Department of Mathematical Sciences.
• It is not intended to be definitive, and so you should always contact your programme director for advice before selecting your modules.
First Year Modules
MATH101 (Calculus 1)Differentiate and integrate a wide range of functions;
sketch graphs and solve problems involvingoptimisation and mensuration;
understand the notions of sequence and series; and apply a range of tests to determine if a series is convergent.
MATH102 (Calculus 2)Use Taylor series to obtain local approximations to functions;
obtain partial derivatives and use them in several applications such as, error analysis, stationary points change of variables;
evaluate double integrals using Cartesian and polar co-ordinates
MATH103 (Introduction to Linear Algebra)Manipulate complex numbers and solve simple equations involving them;
solve arbitrary systems of linear equations;understand and use matrix arithmetic, including the computation of matrix
inverses;compute and use determinants;
understand and use vector methods in the geometry of 2 and 3 dimensions;calculate eigenvalues and eigenvectors;
and apply these calculations to the geometry of conics and quadrics.
MATH105 (Numbers and Sets)Use mathematical language and symbols accurately; Understand the nature of a definition, & show that simple definitions are or are not satisfied by given
examples; Use theorems to draw logical conclusions from
given information; Understand the logic of direct proofs & proofs by
contradiction, & construct very simple proofs, including proofs by induction;
Interpret statements involving quantifiers, and negate statements with one or two quantifiers;
Use the language of naive set theory; Understand the integer, rational, real and complex
number systems and the relationship between them.
Computer Science Modules Available:COMP101 (Introduction to Programming in JAVA)
COMP102 (Introduction to Databases)
(GG14 ONLY)COMP103 (Computer Systems)
COMP 108 (Algorithmic Foundations)COMP 109 (Foundations of Computing)
MATH122 (Dynamic Modelling)Solve simple differential equations;
understand some methods of mathematical modelling and, in particular, the need to attach
meaning to mathematical results;develop some differential equations for population
growth, and interpret the results;understand Newton's laws of Mechanics;
do simple problems in projectiles and orbits, some involving polar co-ordinates
Economics & Finance Modules Available:(G1N3, GN11 & GL11 ONLY)
ECON121 (Principles of Microeconomics)ECON123 (Principles of Macroeconomics)
ECON127 (Economic Principles for Business and Markets)ECON130 (Cont Issues in Economic Policy)
ECON159 (European Economic Environment)ACFI 101 (Introduction to Financial Accounting)
ACFI102 (Introduction to Management Accounting)ACFI103 (Introduction to Finance)
MATH162 (Introduction to Statistics)to describe statistical data;
to use the Binomial, Poisson, Exponential and Normal distributions;
to perform simple goodness-of-fit tests;to use the package Minitab to present data, and to
make statistical analysis.
Physics & Environmental Sciences Modules Available:(F344, FGH1, FG31 ONLY)
PHYS102 (The Material Universe)PHYS103 (Wave Phenomena)
PHYS104 (Foundations of Modern Physics)PHYS156 (Practical Skills for Mathematical Physics)
(G1F7 ONLY)ENVS100 (Study Skills and GIS)
ENVS111 (Climate, Atmosphere and Oceans)ENVS158 (Ocean Chemistry and Life)
MATH142 (Numbers, Groups & Codes)Use the division algorithm to construct the greatest
common divisor of a pair of positive integers;Solve linear congruences & find the inverse of an
integer modulo a given integer;Code & decode messages using the public-key
method;Manipulate permutations with confidence;
Decide when a given set is a group under a specified operation & give formal axiomatic proofs;
Understand the concepts of a subgroup, a group action, an orbit & a stabiliser subgroup; use
Lagrange’s theorem;Understand the concept of a group homomorphism
& be able to show that 2 groups are isomorphic;Understand the principles of binary coding & how to construct error-detecting & error-correcting binary
codes.
Psychology & Philosophy Modules Available:(G1X3 ONLY)
PSYC101 (Introduction to Psychology 1)PSYC102 (Introduction to Psychology 2: Development,
Personality & Intelligence)
(GV15 ONLY)PHIL107 (Analysing Philosophical Texts 1)PHIL108 (Analysing Philosophical Texts 2)
PHIL127 (Symbolic Logic 1)
MATH111 (Mathematical IT Skills)Tackle project work, including writing up of reports
detailing their solutions to problems;use computers to create documents containing
formulae, tables, plots and references;use Maple to manipulate mathematical expressions
and to solve simple problems;better understand the mathematical topics covered, through direct experimentation with the computer.
Modern Foreign Languages Modules Available:(GR11 ONLY)
FREN101 (Modern French Language 1)FREN102 (Modern French Language 2)
FREN122 (Introduction to the Short French Narrative)MODL105 (Language Awareness)
(G1R9 ONLY)30 Credits’ worth of Spanish, French or German
Compulsory Modules
Other Mathematical Sciences Modules
Other Subjects’ Modules
MATH248 (Geometry Of Curves)use a computer package to study curves and their evolution in both parametric and algebraic forms.
determine and work with tangents, inflexions, curvature, cusps, nodes, length and other features.
calculate envelopes and evolutes.solve the position and shape of some algebraic curves
including conics.
MATH262 (Financial Mathematics II)Modern portfolio theory
Introduction to markets and optionsDiscrete time Finance
Continuous time finance
MATH264 (Statistical Theory & Methods II)
understand basic probability calculus. be familiar with a range of techniques for solving
real life problems of a probabilistic nature.
MATH263 (Statistical Theory & Methods I)
Have a conceptual and practical understanding of a range of commonly applied statistical procedures.
Have also developed some familiarity with the statistical package MINITAB.
MATH261 (Introduction To Methods Of Operational Research)
Appreciate the operational research approach.Be familiar with a range of standard problems.
Be able to formulate simple `real-world' problems using standard models.
Be able to apply standard techniques.Appreciate the importance of sensitivity analysis.
Second Year Modules
MATH228 (Classical Mechanics)the motion of bodies under simple force systems,
including calculations of the orbits of satellites, comets and planetary motions
rigid body motions including geophysical applications such as the precession of the axis of rotation of the earth.
COMP201
COMP202
COMP207
COMP213
COMP218
COMP219
MATH243 (Complex Functions)The central role of complex numbers in mathematics;
All the classical holomorphic functions;Compute Taylor & Laurent series of such functions;
The content & relevance of the various Cauchy formulae and theorems;
The reduction of real definite integrals to contour integrals;
Computing contour integrals.
ECON211
ECON212
ECON221
ECON222
ECON223
ECON224
ECON241
MATH247 (Commutative Algebra)Work confidently with the basic tools of algebra (sets, maps, binary operations and equivalence relations).
Recognise abelian groups, different kinds of rings (integral, Euclidean, principal ideal and unique
factorisation domains) and fields.Find greatest common divisors using the Euclidean
algorithm in Euclidean domains.Apply commutative algebra to solve simple number-
theoretic problems.
(F344, FGH1, FG31 ONLY)
PHYS201
PHYS202
PHYS203
PHYS204
(G1F7 ONLY)
ENVS202
ENVS222
ENVS266
ENVS260
MATH244 (Linear Algebra And Geometry)
The geometric meaning of linear algebraic ideas,The concept of an abstract vector space & how it is used
in different mathematical situations,apply a change of coordinates to simplify a linear map,manipulate matrix groups (in particular Gln, On & Son),
Bilinear forms from a geometric point of view.
MATH241 (Metric Spaces & Calculus )Be familiar with a range of examples of metric spaces.Have developed their understanding of the notions of
convergence and continuity.Understand the contraction mapping theorem and
appreciate some of its applications.Be familiar with the concept of the derivative of a vector
valued function of several variables as a linear map.Understand the inverse function and implicit function
theorems and appreciate their importance.Have developed their appreciation of the role of proof and
rigour in mathematics.
Modern Foreign Languages Modules Available:
(GR11 ONLY)
FREN201
FREN202
(G1R9 ONLY)
30 Credits’ worth of Spanish, French or German
Mathematical Sciences Modules
MATH201 (Ordinary Differential Equations)
Elementary techniques for the solution of ODE's,Basic properties of ODE, including main features of initial
value problems and boundary value problems, such as existence & uniqueness of solutions;
The solution of linear systems (homogeneous & non-homogeneous)
with constant coefficients matrix of size 2 & 3;A range of applications of ODE.
MATH224 (Introduction To The Methods Of Applied Mathematics)The solution of basic ordinary differential equations,
including systems of first order equations;The concept of Fourier series & their potential application
to the solution of both ordinary & partial differential equations;
Solve simple first order partial differential equations;Solve the basic boundary value problems for 2nd order
linear partial differential equations using the method of separation of variables.
MATH227 (Mathematical Models: Microeconomics & Population
Dynamics)Use techniques from several variable calculus in tackling
problems in microeconomics.Use techniques from elementary differential equations in
tackling problems in population dynamics.Apply mathematical modelling methodology in these
subject areas
MATH225 (Vector Calculus With Applications In Fluid Mechanics)
Work confidently with different coordinate systems.Evaluate line, surface and volume integrals.
Appreciate the need for the operators div, grad & curl together with the associated theorems of Gauss & Stokes.
Recognise the many physical situations that involve the use of vector calculus.
Apply mathematical modelling methodology to formulate and solve simple problems in electromagnetism and
inviscid fluid flow.
MATH206 (Group Project Module)Work effectively in groups, and delegate common tasks.
Write substantial mathematical documents in an accessible form.
Give coherent verbal presentations of more advanced mathematical topics.
Appreciate how mathematical techniques can be applied in a variety of different contexts.
MATH265 (Measure Theory And Probability )
master the basic results about measures, measurable functions, Lebesgue integrals and their properties;
to understand deeply the rigorous foundations of the probability theory;
to know certain applications of the measure theory to probability and financial mathematics. .
MATH267 (Financial Mathematics I)Time value of money
Annuities Loans and the equation of value
Cash flow models & Investment projects Bonds, Fixed interest security & index-linked security
Term structure of interest rates & Stochastic interest rates models
EDUC500 (Mathematics In Schools)insight into children's mathematical thinking;growing confidence in working with pupils;
an informed view of the role of secondary mathematics teachers and of the environment in which they work;
Experience in the use of computers for word-processing.
MATH268 (Operational Research: Probabilistic Models)
be familiar with a range of techniques for solving probabilistic problems arising in OR and Mathematical
Finance.
MATH266 (Numerical Analysis, Solution Of Linear Equations)
apply numerical methods in a number of different contexts;
solve systems of linear & nonlinear algebraic equations to specified precision;
compute eigenvalues & eigenvectors by the power method;
solve boundary value & initial problems to finite precision;
develop quadrature methods for numerical integration.
Computer Science Modules Available:
(GG14 & G1R9 ONLY)
Economics & Finance Modules Available:
(G1N3, GN11 & GL11 ONLY)
PHIL207
PHIL212
PHIL215
PHIL219
PHIL227
PHIL228
PHIL236
PHIL237
PHIL239
Philosophy Modules Available:
(GV15 ONLY)
Other Subjects’ ModulesPhysics & Environmental Sciences Modules Available:
ENVS332ENVS335ENVS349ENVS366ENVS372
ENVS376ENVS377ENVS389ENVS461
Environmental Sciences Modules Available:
(G1F7 ONLY)
MATH349 (Differential Geometry)Using differential calculus to discover geometrical
properties of explicitly given curves & surfaces;the role played by special curves on surfaces & making explicit calculations with these curves;
Acquiring an intuitive ‘feel’ for what is meant by surface shape;
Understanding the difference between extrinsically defined properties and those which depend only on
the surface metric;Understanding the passage from local to global
properties exemplified by the Gauss-Bonnet Theorem.
MATH360 (Applied Stochastic Models )
a grounding in the theory of continuous-time Markov chains and diffusion processes. They should be able to solve corresponding problems arising in
epidemiology, mathematical biology, financial mathematics, etc.
MATH362 (Applied Probability )To give examples of empirical phenomena for which stochastic processes provide suitable mathematical models. To provide an introduction to the methods
of probabilistic model building for ``dynamic" events occurring over time. To familiarise students with an important area of probability modelling.
MATH361 (Theory Of Statistical Inference)
a good understanding of the classical approach to and especially the likelihood methods for statistical
inference. The students should also gain an appreciation of the blossoming area of Bayesian
approach to inference.
MATH351 (Analysis & Number Theory)
Completions & irrationality, diophantine approx’n & its relation to uniform distribution, appreciate that analysis has a complex unity & have a feel for basic computations in analysis. Calculate rational approx’ns to real & p adic numbers & use this in number theoretic situations. Find approx’ns to functions from families of simpler functions. Work with basic tools from analysis, like Fourier series & continuous functions to prove distributional properties of sequences of numbers.
.
Third Year Modules
MATH331 (Mathematical Economics)
Have further extended their appreciation of the role of mathematics in modelling in Economics and the
Social Sciences.Be able to formulate, in game-theoretic terms,
situations of conflict and cooperation.Be able to solve mathematically a variety of standard problems in the theory of games.
To understand the relevance of such solutions in real situations.
COMP304 COMP305 COMP309 COMP310 COMP313
COMP315 COMP317 COMP319 COMP323
MATH342 (Number Theory)understand and solve a wide range of problems
about the integers and rationals, and have a better understanding of the properties of prime numbers.
ECON306 ECON308 ECON311 ECON322 ECON325 ECON326
ECON327 ECON333 ECON335 ECON340 ECON343
ACFI301 ACFI302 ACFI303 ACFI304 ACFI305 ACFI341
MATH344 (Combinatorics)understand the type of problem to which the
methods of Combinatorics apply, and model these problems;
solve counting and arrangement problems;solve general recurrence relations using the
generating function method;appreciate the elementary theory of partitions and its application to the study of symmetric functions.
MATH343 (Group Theory)Understanding of abstract algebraic systems
(groups) by concrete, explicit realisations (permutations, matrices)
The ability to understand and explain classification results to users of group theory.
To have a general understanding of the origins and history of the subject.
MATH334 (Mathematical Physics Projects)
understood an area of advanced theoretical physics had experience in consulting relevant literature
gained experience in using appropriate mathematics
made a critical appraisal of the current understanding of the area
learnt how to construct a written essay and given an oral presentation.
Modern Foreign Languages Modules Available:
(G1R9 ONLY)
15 Credits’ worth of Spanish, French or German
Philosophy Modules Available:
(GG13 ONLY)
PHIL346
Mathematical Sciences Modules
Other Subjects’ Modules
MATH302 (History Of Mathematics)
Acquire a historical perspective on the development of mathematical ideas and their relationship with
contemporary culture, and through the various methods of assessment become more articulate
about their importance and relevance in the educational scene
MATH324 (Cartesian Tensors And Mathematical Models Of Solids
And Viscous Fluids)understand and actively use the basic concepts of continuum mechanics such as stress, deformation and constitutive relations, and apply mathematical methods for analysis of problems involving the flow
of viscous fluid or behaviour of solid elastic materials.
MATH326 (Relativity)understand why space-time forms a non-Euclidean
four-dimensional manifold;be proficient at calculations involving Lorentz
transformations, energy-momentum conservation, and the Christoffel symbols.
understand the arguments leading to Einstein's field equations and how Newton's law of gravity arises as
a limiting case.be able to calculate the trajectories of bodies in a
Schwarzschild space-time.
MATH325 (Quantum Mechanics)solve Schrodinger’s equation for simple systems,
and have some intuitive understanding of the significance of quantum mechanics for both
elementary systems and the behaviour of matter.
MATH323 (Further Methods Of Applied Mathematics )
to use the method of "Variation of Arbitrary Parameters" to find the solutions of some
inhomogeneous ODE’s, solve simple integral extremal problems including cases with constraints;
classify a system of simultaneous 1st-order linear partial differential equations, & to find the Riemann
invariants & general or specific solutions in appropriate cases; classify 2nd-order linear partial differential equations &, in appropriate cases, find
general or specific solutions.
MATH363 (Linear Statistical Models )
General Linear Models: simple linear regression; one-way analysis of variance; estimation and
inference; two and three-way analysis of variance; more complex designs.
Generalized Linear Models: foundations; exponential family of distributions; estimation and
inference; binary response variables; normal response variables; contingency tables and log-
linear models; other applications
MATH367 (Networks In Theory And Practice)
be able to model problems in terms of networks.be able to apply effectively a range of exact and
heuristic optimisation techniques
MATH399 (Mathematical Project Module)
A range of projects are available within each division, as well as a Maths in Society project.
MATH366 (Mathematical Risk Theory )
Decision Theory Applications of Probability Theory to actuarial risk
models (The collective risk model (aggregate loss models)
The individual risk model (group insurance models) Ruin Theory
Claim reserving methods
MATH350 (Analytic Methods In Higher Geometry)
understand the concept of duality in Linear Algebra, be able to work with tensors,
understand the basic concepts of geometry of smooth manifolds,
be able to perform computations with differential forms in local coordinates,
know certain applications of differential forms to topology and Hamiltonian mechanics.
MATH332 (Population Dynamics)Use analytical and graphical methods to investigate population growth and the stability of equilibrium
states for continuous-time and discrete-time models of ecological systems.
Relate the predictions of the mathematical models to experimental results obtained in the field.
Recognise the limitations of mathematical modelling in understanding the mechanics of
complex biological systems..
MATH322 (Chaos And Dynamical Systems)
Understand the possible behaviour of dynamical systems with particular attention to chaotic motion;
be familiar with techniques for extracting fixed points and exploring the behaviour near such fixed
points;understand how fractal sets arise and how to
characterise them.
MATH364 (Medical Statistics)identify the types of problems found in medical
statistics; demonstrate the advantages and disadvantages of different epidemiological study designs; apply appropriate statistical methods to problems arising in epidemiology and interpret
results; explain and apply statistical techniques used in survival analysis; critically evaluate statistical issues in the design & analysis of clinical trials
discuss statistical issues related to systematic review & apply appropriate methods of meta-analysis
apply Bayesian methods to simple medical problems
Economics & Finance Modules Available:
(G1N3 & GL11 ONLY)
Computer Science Modules Available:
(GG14 ONLY)
PHIL306PHIL309PHIL310PHIL316PHIL317PHIL326
PHIL329PHIL332PHIL340PHIL346PHIL361PHIL362
Philosophy Modules Available:
(GG13 & GV15 ONLY)
PHYS363 PHYS370 PHYS374 PHYS375 PHYS377 PHYS378
PHYS381 PHYS382 PHYS387 PHYS388PHYS389 PHYS393
Physics Modules Available:
(F344, FGH1, FG31 ONLY)
MATH443 (Curves & Singularities)A confident use of the singularity theory of functions of
one variable, including unfolding theory, in concrete applications. A knowledge of fundamental constructions such as that of an envelope of curves or surfaces, and the dual of a curve or surface. A grounding in the theory of
differentiable manifolds and transversality as geometrical tools. A preparation for further study of singularity theory, including functions of several variables and mappings, and elements of symplectic geometry
MATH449 (Galois Theory)Know why and how a polynomial equation of degree up
to 4 can be solved in radicals.Understand why a solution in radicals is impossible in
general for the degree greater than or equal to 5.Understand when a polynomial can be solved in radicals.Know when a geometric construction can be done by a
ruler and compass.Know what is the Galois group of a polynomial which
permits the above results.
MATH456 (Intro to Knot Theory & Low Dimensional Topology)
tell whether two simple knots in 3-space can be transformed into one another without cutting or tearing;
compute the Jones, Alexander, HOMFLY & Kauffman polynomials in simple cases; represent a link as the
closure of a braid; give e.g.’s of orientable surfaces that bound a given knot in 3-space; determine whether two braids (say given by their diagrams) represent the same element in the braid group; compute the genus & the
Euler characteristic of 2-manifold; compute the genus of a ramified covering of a 2-manifold
MATH455 (Differentiable Functions)technique of reducing functions to local normal forms;
understand the concept of stability of mappings; construct versal deformations of isolated function
singularities.
MATH446 (Lie Groups & Lie Algebras)basic results about Lie groups and Lie algebras and their
relation, classical Lie groups and Lie algebras, basic structure and classification results about Lie groups and
Lie algebras.
Fourth Year Modules
MATH426 (Mathematical Biology)Use techniques from difference equations and ordinary and partial differential equations in tackling problems in
biology.Apply mathematical modelling methodology in this area.
MATH432 (Mathematical Physics Project)
understood an area of advanced theoretical physics had experience in consulting relevant literature
gained expertise in using appropriate mathematicsmade a critical appraisal of the current state of
knowledge of the arealearnt how to construct an essay
gained familiarity with a scientific word-processing package such as TeX
acquired skills of oral presentation.
MATH442 (Representation Theory of Finite Groups )
use representation theory as a tool to understand finite groups;
calculate character tables of a variety groups.
Physics Modules Available:(F344, FGH1, ONLY)
PHYS480PHYS489PHYS490PHYS491PHYS493PHYS497PHYS499
MATH441 (Higher Arithmetic )apply analytic techniques to arithmetic functions
understand basic analytic properties of the Riemann zeta function
understand Dirichlet characters and L-seriesunderstand the connection between Ingham's theorem
and the Prime Number Theorem
MATH431 (Introduction To Modern Particle Theory)
The Feynman diagram pictorial representation of particle interactions.
The role of symmetries & conservation laws in distinguishing the strong, weak & electromagnetic
interactions.Spectrum & interactions of elementary particles & their
embedding into Grand Unified Theories (GUTs).The flavour structure of the standard particle model &
generation of mass through symmetry breaking.Phenomenological aspects of GUTs.
Modern Foreign Languages Modules Available:(GR11 ONLY)
FREN301
FREN302
PLUS OTHER FRENCH MODULES
Mathematical Sciences Modules
Other Subjects’ Modules
MATH410 (Manifolds, Homology & Morse Theory)
give examples of manifolds, particularly in low dimensions;
compute homology groups, Euler characteristics and degrees of maps in simple cases;
determine whether an explicitly given function is Morse & to identify its critical points & their indices;
use the Morse complex to compute Euler characteristics and, in simple cases, homology.
MATH423 (Introduction To String Theory)
The properties of the classical string.The basic structure of modern particle physics and how it
may arise from string theory.The basic properties of first quantized string and the
implications for space-time dimensions.String toroidal compactifications and T-duality.
MATH425 (Quantum Field Theory)be able to compute simple Feynman diagrams,
understand the basic principles of regularisation and renormalisation
be able to calculate elementary scattering cross-sections.
MATH424 (Analytical & Computational Methods For Applied
Mathematics)obtain solutions to certain important PDEs using a variety
of analytical techniques and should be familiar with important properties of the solution.
apply a range of standard numerical methods for solution of PDEs and should have an understanding of relevant
practical issues
MATH421 (Linear Differential Operators in Mathematical Physics)
understand and actively use the basic concepts of mathematical physics, such as the concept of generalised
functions, Sobolev spaces, weak solutions, and apply powerful mathematical methods to problems of electro-
magnetism, elasticity, heat conduction and propagation of waves
MATH490 (Project For M.Math)(30 Credits)
Gained a greater understanding of the chosen mathematical topic. Gained an appreciation of the
historical context. learned how to abstract mathematical concepts and explain them.
had experience in consulting related relevant literature. Learned how to construct a written project report. Had
experience in making an oral presentation. Gained familiarity with the standard scientific word-processing
packages LaTeX or TeX
MATH444 (Elliptic Curves)The ability to describe and to work with the group
structure on a given elliptic curve. Understanding and application of the Abel-Jacobi theorem. To estimate the
number of points on an elliptic curve over a finite field. To use the reduction map to investigate torsion points on a curve over Q. To apply descent to obtain so-called Weak Mordell-Weil Theorem. Use heights of points on elliptic curves to investigate the group of rational points on an
elliptic curve. Understanding and application of Mordell-Weil theorem. Encode and decode using public keys.
MATH427 (Waves. Mathematical Modelling)
Students will learn essential modelling techniques in problems of wave propagation. They will also
understand that mathematical models of the same type can be successfully used to describe different physical
phenomena. Students will also study background mathematical theory in models of acoustics, gas
dynamics, and water waves
MATH420 (Advanced Mathematical Physics Project)
understood an area of current research in theoretical physics
had experience in locating and consulting relevant research material, particularly through use of journals
and the Internet learnt & deployed appropriate mathematical techniques
learnt how to produce a dissertation acquired and practised skills of oral presentation
MATH499 (Project For M.Math)(15 Credits)
Gained a greater understanding of the chosen mathematical topic. Gained an appreciation of the
historical context. learned how to abstract mathematical concepts and explain them.
had experience in consulting related relevant literature. Learned how to construct a written project report. Had
experience in making an oral presentation. Gained familiarity with the standard scientific word-processing
packages LaTeX or TeX
G100: BSc MathematicsFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH105 Numbers and Sets
MATH122 Dynamic Modelling
MATH142 Numbers, Groups and Codes
MATH162 Introduction to Statistics
And One of
MATH111 Mathematical IT Skills
COMP101 Introduction to Programming in JAVA
Year 2Compulsory Modules
MATH201 Ordinary Differential Equations
MATH243 Complex Functions
MATH244 Linear Algebra and Geometry
At least one from
MATH241 Metric Spaces and Calculus
MATH247 Commutative Algebra
MATH248 Geometry of Curves
And at least one from
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH227 Mathematical Models: Microeconomics and Population Dynamics
MATH228 Classical Mechanics
MATH266 Numerical Analysis, Solution of Linear Equations
And a further 3 modules from the above list or
MATH206 Group Project
MATH261 Introduction to Methods of Operational Research
MATH262 Financial Mathematics 2
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH265 Measure Theory and Probability
MATH267 Financial mathematics 1
MATH268 Operational Research: Probabilistic Models
EDUC500 Mathematics in Schools
Or modules in computer science, physics, geophysics, or geology.
Year 38 modules from
MATH302 History of Mathematics
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH334 Mathematical Physics Projects
MATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH360 Applied Stochastic Models
MATH361 Theory of Statistical Inference
MATH362 Applied Probability
MATH363 Linear Statistical Models
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH367 Networks in Theory and Practice
MATH399 Project Module
In exceptional cases, up to 2 MMath modules may be taken, subject to
approval. See G101 board for details
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
G1X3: BSc Mathematics With EducationFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
One of
MATH105 Numbers and Sets
PSYC101 Introduction to Psychology 1
One of
MATH111 Mathematical IT Skills
COMP101 Introduction to Programming in JAVA
And Three of
MATH142 Numbers, Groups and Codes
MATH122 Dynamic Modelling
MATH162 Introduction to Statistics
PYSC102 Introduction to Psychology 2
If any of MATH122, MATH142 OR MATH162 are not taken in the first year, they must be taken in the second year.
Year 2Compulsory Modules
MATH201 Ordinary Differential Equations
MATH243 Complex Functions
EDUC500 Mathematics in Schools
At least two from
MATH241 Metric Spaces and Calculus
MATH244 Linear Algebra and Geometry
MATH247 Commutative Algebra
MATH248 Geometry of Curves
And at least two from
MATH206 Group Project
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH227 Mathematical Models: Microeconomics and Population Dynamics
MATH228 Classical Mechanics
MATH266 Numerical Analysis, Solution of Linear Equations
MATH261 Introduction to Methods of Operational Research
MATH262 Financial Mathematics 2
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH265 Measure Theory and Probability
MATH267 Financial mathematics 1
MATH268 Operational Research: Probabilistic Models
And one more module from the above lists or in computer science, physics,
geophysics, or geology subject to approval
Year 3Compulsory Modules
MATH302 History of Mathematics
MATH399 Project Module (Maths in Society)
And six modules from
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH360 Applied Stochastic Models
MATH361 Theory of Statistical Inference
MATH362 Applied Probability
MATH363 Linear Statistical Models
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH367 Networks in Theory and Practice
In exceptional cases, up to 2 MMath modules may be taken, subject to
approval. See G101 board for details of MMath modules
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
G110: BSc Pure MathematicsFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH105 Numbers and Sets
MATH122 Dynamic Modelling
MATH162 Introduction to Statistics
MATH111 Mathematical IT Skills
MATH142 Numbers, Groups and Codes
Either MATH111 or MATH122 may be replaced by suitable non-mathematical
sciences modules. Please talk to programme director for further details.
If MATH111 is not taken in Year 1, it must be taken in Year 2
Year 2Compulsory Modules
MATH201 Ordinary Differential Equations
MATH243 Complex Functions
MATH244 Linear Algebra and Geometry
At least one modules from
MATH241 Metric Spaces and Calculus
MATH247 Commutative Algebra
MATH248 Geometry of Curves
And 4 modules from those above or
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH227 Mathematical Models: Microeconomics and Population Dynamics
MATH228 Classical Mechanics
MATH266 Numerical Analysis, Solution of Linear Equations
MATH206 Group Project
MATH261 Introduction to Methods of Operational Research
MATH262 Financial Mathematics 2
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH265 Measure Theory and Probability
MATH267 Financial mathematics 1
MATH268 Operational Research: Probabilistic Models
EDUC500 Mathematics in Schools
In exceptional cases, up to 2 non mathematical sciences modules may be
taken, subject to approval.
Year 3At least 4 modules from
MATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH399 Project Module (Pure Mathematics)
And 4 modules from those above or
MATH302 History of Mathematics
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH334 Mathematical Physics Projects
MATH360 Applied Stochastic Models
MATH361 Theory of Statistical Inference
MATH362 Applied Probability
MATH363 Linear Statistical Models
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH367 Networks in Theory and Practice
In exceptional cases, 1 non mathematical sciences module or up to 2 MMath modules may be taken, subject to approval. See G101 board for details. No more than 2 project modules may be
taken
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
G1F7: BSc Mathematics with Ocean and Climate StudiesFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH122 Dynamic Modelling
MATH162 Introduction to Statistics
ENVS100 Study Skills and GIS
ENVS111 Climate, Atmosphere and Oceans
ENVS158 Ocean Chemistry and Life
Year 2Compulsory Modules
MATH201 Ordinary Differential Equations
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH228 Classical Mechanics
ENVS202 Key Skills for Ocean Scientists
ENVS222 Statistics for Environmental Scientists
ENVS266 Estuaries – Their Geochemistry and Life
And one of
ENVS260 Water and Air
MATH266 Numerical Analysis, Solution of Linear Equations
Year 3Compulsory Modules
MATH323 Further Methods of Applied Mathematics
ENVS332 Ocean Dynamics
ENVS335 Ocean Carbon Cycle
ENVS349 Sea Practical
ENVS366 Marine Sciences – Special Topics
ENVS377 Ocean Sciences Research Project
And 2 modules from
MATH322 Chaos and Dynamical Systems
MATH332 Population Dynamics
ENVS372 Fluvial Environments
ENVS376 Coastal Environments: Spatial and Temporal Change
ENVS389 Climate Change – A Critical Review
ENVS461 Evolution, Oceans and Climate
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
GG13: BSc Mathematics and StatisticsFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH105 Numbers and Sets
MATH122 Dynamic Modelling
MATH162 Introduction to Statistics
One of
MATH111 Mathematical IT Skills
COMP101 Introduction to Programming in JAVA
And One of
MATH142 Numbers, Groups and Codes
COMP102 Introduction to Databases
Year 2Compulsory Modules
MATH201 Ordinary Differential Equations
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
At least one from
MATH261 Introduction to Methods of Operational Research
MATH265 Measure Theory and Probability
MATH267 Financial mathematics 1
MATH268 Operational Research: Probabilistic Models
And at least three from
MATH142 Numbers, Groups and Codes
MATH206 Group Project
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH227 Mathematical Models: Microeconomics and Population Dynamics
MATH228 Classical Mechanics
MATH241 Metric Spaces and Calculus
MATH243 Complex Functions
MATH244 Linear Algebra and Geometry
MATH247 Commutative Algebra
MATH248 Geometry of Curves
MATH262 Financial Mathematics 2
MATH266 Numerical Analysis, Solution of Linear Equations
EDUC500 Mathematics in Schools
Up to two additional modules, usually from the list above
Year 3Compulsory Modules
MATH361 Theory of Statistical Inference
MATH363 Linear Statistical Models
At least one module from
MATH360 Applied Stochastic Models
MATH362 Applied Probability
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH399 Project Module
Five more modules from the list above or the list below
MATH302 History of Mathematics
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH367 Networks in Theory and Practice
PHIL346 Philosophy of Mathematics
In exceptional cases, up to 2 MMath modules may be taken, subject to
approval. See G101 board for details
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
GG14: BSc Mathematics & Computer ScienceFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
COMP101 Introduction to Programming in JAVA
COMP102 Introduction to Databases
One of
COMP103 Computer Systems
COMP109 Foundations of Computing
And One of
MATH142 Numbers, Groups and Codes
MATH122 Dynamic Modelling
Year 2Compulsory Modules
COMP202 Complexity of Algorithms
MATH266 Numerical Analysis, Solution of Linear Equations
At least two from
COMP201 COMP213
COMP207 COMP219
And at least one from
COMP104 COMP218
And at least two from
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH227 Mathematical Models: Microeconomics & Population Dynamics
MATH228 Classical Mechanics
MATH243 Complex Functions
MATH244 Linear Algebra and Geometry
MATH142 Numbers, Groups and Codes
MATH241 Metric Spaces and Calculus
MATH247 Commutative Algebra
MATH248 Geometry of Curves
MATH206 Group Project
MATH261 Introduction to Methods of Operational Research
MATH262 Financial Mathematics 2
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH265 Measure Theory and Probability
MATH267 Financial mathematics 1
MATH268 Operational Research: Probabilistic Models
A total of 8 modules from the above must be taken.
Year 3Compulsory Module
COMP317 Semantics of Programming Languages
Two modules fromCOMP304 COMP305
COMP309 COMP319 COMP323
One module fromCOMP310 COMP313 COM315
At least three modules fromMATH302 History of Mathematics
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH334 Mathematical Physics Projects
MATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH360 Applied Stochastic Models
MATH361 Theory of Statistical Inference
MATH362 Applied Probability
MATH363 Linear Statistical Models
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH367 Networks in Theory and Practice
MATH399 Project Module
A total of 8 modules from the above must be taken.
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
GV15: BA Philosophy & MathematicsFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
PHIL107 Analysing Philosophical Texts 1
PHIL108 Analysing Philosophical Texts 2
PHIL127 Symbolic Logic 1
One of
MATH142 Numbers, Groups and Codes
MATH122 Dynamic Modelling
And one additional Philosophy Module
Year 2Compulsory Modules
PHIL207 Symbolic Logic 2
Four Modules from
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH266 Numerical Analysis, Solution of Linear Equations
MATH227 Mathematical Models: Microeconomics and Population Dynamics
MATH228 Classical Mechanics
MATH243 Complex Functions
MATH244 Linear Algebra and Geometry
MATH142 Numbers, Groups and Codes
MATH241 Metric Spaces and Calculus
MATH247 Commutative Algebra
MATH248 Geometry of Curves
MATH206 Group Project
MATH261 Introduction to Methods of Operational Research
MATH262 Financial Mathematics 2
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH265 Measure Theory and Probability
MATH267 Financial mathematics 1
MATH268 Operational Research: Probabilistic Models
And a further 3 modules from
PHIL212 PHIL215
PHIL219 PHIL227
PHIL228 PHIL236
PHIL237 PHIL239
Year 3Compulsory Module
PHIL346 Philosophy of Mathematics
Four modules fromMATH302 History of Mathematics
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH334 Mathematical Physics Projects
MATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH360 Applied Stochastic Models
MATH361 Theory of Statistical Inference
MATH362 Applied Probability
MATH363 Linear Statistical Models
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH367 Networks in Theory and Practice
MATH399 Project Module
And a further 3 modules fromPHIL306 PHIL309 PHIL310
PHIL316 PHIL317 PHIL326
PHIL329 PHIL332 PHIL340
PHIL361 PHIL362
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
GL11: BA Economics and Mathematics From Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH162 Introduction to Statistics
One of
MATH105 Numbers and Sets
MATH111 Mathematical IT Skills
And
ECON159 European Economic Environment
And One of
MATH142 Numbers, Groups and Codes
MATH122 Dynamic Modelling
And
ECON130 Cont Issues in Economic Policy
Year 2Compulsory Modules
ECON212 ECON221 ECON223
At least two from
ECON222 ECON224
ECON211 ECON241
Three fromMATH201 Ordinary Differential Equations
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH227 Mathematical Models: Microeconomics and Population Dynamics
MATH228 Classical Mechanics
MATH266 Numerical Analysis, Solution of Linear Equations
MATH243 Complex Functions
MATH244 Linear Algebra and Geometry
MATH206 Group Project
MATH142 Numbers, Groups and Codes
MATH241 Metric Spaces and Calculus
MATH247 Commutative Algebra
MATH248 Geometry of Curves
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH261 Introduction to Methods of Operational Research
MATH262 Financial Mathematics 2
MATH265 Measure Theory and Probability
MATH267 Financial mathematics 1
MATH268 Operational Research: Probabilistic Models
Up to two additional modules, usually from the list above
Year 3Two modules from
ECON311 ECON322 ECON325
ECON327 ECON333 ECON335
At least one module fromECON306 ECON308 ECON326
ECON340 ECON343
4 more modules from the list belowMATH302 History of Mathematics
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH334 Mathematical Physics Projects
MATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH361 Theory of Statistical Inference
MATH363 Linear Statistical Models
MATH360 Applied Stochastic Models
MATH362 Applied Probability
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH367 Networks in Theory and Practice
MATH399 Project Module
In exceptional cases, up to 2 MMath modules may be taken, subject to
approval. See G101 board for details
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH162 Introduction to Statistics
MATH111 Mathematical IT Skills
ACFI101 Introduction to Financial Accounting
ACFI102 Introduction to Management Accounting
ECON127 Economic Principles for Business and Markets
Year 2Compulsory Modules
MATH201 Ordinary Differential Equations
MATH268 Operational Research: Probabilistic Models
And a further 2 modules fromMATH243 Complex Functions
MATH244 Linear Algebra and Geometry
MATH241 Metric Spaces and Calculus
MATH247 Commutative Algebra
MATH248 Geometry of Curves
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH227 Mathematical Models: Microeconomics & Population Dynamics
MATH228 Classical Mechanics
MATH266 Numerical Analysis, Solution of Linear Equations
MATH206 Group Project
MATH261 Introduction to Methods of Operational Research
MATH262 Financial Mathematics 2
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH265 Measure Theory and Probability
MATH267 Financial Mathematics 1
Plus four modules fromACFI201 ACFI204 ACFI205 MKIB227
ULMS251 ECON254 MKIB256 ACFI260
ACFI206 ECON212 ECON221 ECON223
ECON233 EBUS209 ACFI202 ACFI203
ECON241 MKIB230 MKIB255 MKIB261
ULMS202 MKIB225 ECON211 ECON222
ECON234 ACFI207 ECON224 ULMS266
ULMS252 ULMS268
Year 3At least 1 module from
MATH302 History of Mathematics
MATH334 Mathematical Physics Projects
MATH399 Project Module
2-3 modules to give a total of 4 fromMATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH360 Applied Stochastic Models
MATH361 Theory of Statistical Inference
MATH362 Applied Probability
MATH363 Linear Statistical Models
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH367 Networks in Theory and Practice
Plus four modules fromACFI304 ACFI320 ECON325 ACFI305MKIB356 ECON311 ACFI301 ECON333ECON335 ECON354 MIKB362 MKIB337ULMS370 MKIB372 ECON322 ECON327ACFI303 ACFI341 ULMS353 MKIB359ACFI302 MKIB338 MKIB363 ECON326
ECON306 ULMS352 ULMS366 ECON308ACFI310
GN11: BSc Mathematics & Business StudiesFrom Application to Graduation
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
G1N3: BSc Mathematics with FinanceFrom Application to Graduation
Application Successful!
Graduation!
Year 2Compulsory Modules
MATH201 Ordinary Differential Equations*
MATH262 Financial Mathematics 2
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH267 Financial mathematics 1
ACFI204 Financial Management
2-3 modules to give a total of 8 from
MATH111 Mathematical IT Skills*
MATH261 Introduction to Methods of Operational Research
MATH265 Measure Theory and Probability
MATH268 Operational Research: Probabilistic Models
MATH224 Introduction to the Methods of Applied mathematics*
MATH227 Mathematical Models: Microeconomics and Population Dynamics
MATH266 Numerical Analysis, Solution of Linear Equations
MATH241 Metric Spaces and Calculus
ECON241 Securities Markets
*these modules are not available to students coming from XJTLU
Year 3Compulsory Modules
MATH366 Mathematical Risk Theory
ACFI304 Business Finance
ECON311 Methods of Economic Investigation 1: Time Series Econometrics
ACFI341 Finance and Markets
At least two modules from
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH331 Mathematical Economics
MATH360 Applied Stochastic Models
MATH361 Theory of Statistical Inference
MATH362 Applied Probability
MATH364 Medical Statistics
MATH363 Linear Statistical Models
MATH367 Networks in Theory and Practice
MATH399 Project Module
And up to two from
ACFI301 Theory and Practice of Auditing
ACFI305 Taxation Policy and Practice
ECON308 Financial Economics
ACFI302 Financial Statements Analysis
ACFI303 Advanced Management Accounting
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH162 Introduction to Statistics
ACFI101 Introduction to Financial Accounting
ACFI103 Introduction to Finance
ECON121 Principles of Microeconomics
ECON123 Principles of Macroeconomics
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
FG31: BSc Physics and MathematicsFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH122 Dynamic Modelling
PHYS102 The Material Universe
PHYS156 Practical Skills for Mathematical Physics
PHYS103 Wave Phenomena
PHYS104 Foundations of Modern Physics
Year 2Compulsory Modules
MATH243 Complex Functions
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH228 Classical Mechanics
PHYS201 Electromagnetism
PHYS202 Condensed Matter Physics
PHYS203 Quantum and Atomic Physics
PHYS204 Nuclear and Particle Physics
Year 3One of
MATH325 Quantum Mechanics
PHYS361 Quantum Mechanics & Atomic Physics
Either
PHYS379 Physics Project
Or both of
PHYS378 Advanced Practical Physics
MATH334 Mathematical Physics Projects
2-4 modules to give a total of 4 maths modules from
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH326 Relativity
Additional Physics modules to make up to 60 credits
PHYS241 Communicating Science
PHYS246 Accelerators and Radioisotopes in Medicine
PHYS251 Introduction To Stellar Astrophysics
PHYS363 Condensed Matter Physics
PHYS370 Advanced Electromagnetism
PHYS374 Relativity and Cosmology
PHYS375 Nuclear Physics
PHYS377 Introduction to Particle Physics
PHYS381 Surface Physics
PHYS382 Physics of Life
PHYS387 Materials Physics
PHYS388 Physics of Energy Sources
PHYS389 Semiconductor Applications
PHYS393 Statistical and Low Temperature Physics
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
FGH1: MMath Mathematical PhysicsFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH122 Dynamic Modelling
PHYS102 The Material Universe
PHYS156 Practical Skills for Mathematical Physics
PHYS103 Wave Phenomena
PHYS104 Foundations of Modern Physics
Year 2Compulsory Modules
MATH243 Complex Functions
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH228 Classical Mechanics
PHYS201 Electromagnetism
PHYS202 Condensed Matter Physics
PHYS203 Quantum and Atomic Physics
PHYS204 Nuclear and Particle Physics
Year 3Compulsory Modules
MATH323 Further Methods of Applied Mathematics
MATH326 Relativity
And one of MATH325 Quantum Mechanics
PHYS361 Quantum Mechanics and Atomic Physics
And one of
PHYS488 Modelling Physical Phenomena (Project)
MATH432 Mathematical Physics Essay
Additional modules from the below list to make up 30 credits at Level 3
MATH322 Chaos and Dynamical Systems
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH331 Mathematical Economics
MATH332 Population Dynamics
PHYS363 Condensed Matter Physics
PHYS370 Advanced Electromagnetism
PHYS374 Relativity and Cosmology
PHYS375 Nuclear Physics
PHYS377 Introduction to Particle Physics
PHYS378 Advanced Practical Physics
PHYS381 Surface Physics
PHYS382 Physics of Life
PHYS387 Materials Physics
PHYS388 Physics of Energy Sources
PHYS389 Semiconductor Applications
PHYS393 Statistical and Low Temperature Physics
Additional modules from the Year 4 list to make up 30 credits at Level M
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
Year 4Compulsory Modules
MATH420 Advanced Mathematical Physics Project
PHYS480 Advanced Quantum Physics
Additional modules from the below list to make up 30 credits at Level M
MATH421 Linear Differential Operators
MATH423 Introduction to String Theory
MATH425 Quantum Field Theory
MATH433 Asymptotic Methods for PDEs
MATH426 Mathematical Biology
MATH427 Waves, Mathematical Modelling
MATH431 Intro to Modern Particle Physics
PHYS489 Advanced Particle Physics
PHYS490 Condensed Matter Theory
PHYS491 Advanced Nuclear Physics
PHYS493 Research Skills
PHYS497 Magnetic Structure and Function
PHYS499 Nanoscale Physics and Technology
Additional modules from the Year 3 list to make up 45 credits at Level 3For FGH1 you should emphasise
Mathematics Modules in Years 3 and 4
F344: MPhys Theoretical PhysicsFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH122 Dynamic Modelling
PHYS102 The Material Universe
PHYS156 Practical Skills for Mathematical Physics
PHYS103 Wave Phenomena
PHYS104 Foundations of Modern Physics
Year 2Compulsory Modules
MATH243 Complex Functions
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH228 Classical Mechanics
PHYS201 Electromagnetism
PHYS202 Condensed Matter Physics
PHYS203 Quantum and Atomic Physics
PHYS204 Nuclear and Particle Physics
Year 3Compulsory Module
MATH326 Relativity
And one of MATH325 Quantum Mechanics
PHYS361 Quantum Mechanics and Atomic Physics
And one of
PHYS488 Modelling Physical Phenomena (Project)
MATH432 Mathematical Physics Essay
Additional modules from the below list to make up 45 credits at Level 3
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH331 Mathematical Economics
MATH332 Population Dynamics
PHYS363 Condensed Matter Physics
PHYS370 Advanced Electromagnetism
PHYS374 Relativity and Cosmology
PHYS375 Nuclear Physics
PHYS377 Introduction to Particle Physics
PHYS378 Advanced Practical Physics
PHYS381 Surface Physics
PHYS382 Physics of Life
PHYS387 Materials Physics
PHYS388 Physics of Energy Sources
PHYS389 Semiconductor Applications
PHYS393 Statistical and Low Temperature Physics
Additional modules from the Year 4 list to make up 30 credits at Level M
Year 4Compulsory Modules
MATH420 Advanced Mathematical Physics Project
PHYS480 Advanced Quantum Physics
Additional modules from the below list to make up 30 credits at Level M
MATH421 Linear Differential Operators
MATH423 Introduction to String Theory
MATH425 Quantum Field Theory
MATH433 Asymptotic Methods for PDEs
MATH426 Mathematical Biology
MATH427 Waves, Mathematical Modelling
MATH431 Intro to Modern Particle Theory
PHYS489 Advanced Particle Physics
PHYS490 Condensed Matter Theory
PHYS491 Advanced Nuclear Physics
PHYS493 Research Skills
PHYS497 Magnetic Structure and Function
PHYS499 Nanoscale Physics and Technology
Additional modules from the Year 3 list to make up 45 credits at Level 3
For F344 you should emphasise Physics Modules in Years 3 and 4
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
G101: MMath MathematicsFrom Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
MATH105 Numbers and Sets
MATH122 Dynamic Modelling
MATH142 Numbers, Groups and Codes
MATH162 Introduction to Statistics
One of
MATH111 Mathematical IT Skills
COMP101 Introduction to Programming in JAVA
Year 2Compulsory Modules
MATH201 Ordinary Differential Equations
MATH243 Complex Functions
MATH244 Linear Algebra and Geometry
At least one from
MATH241 Metric Spaces and Calculus
MATH247 Commutative Algebra
MATH248 Geometry of Curves
And at least one from
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH227Mathematical Models:
Microeconomics and Population Dynamics
MATH228 Classical Mechanics
MATH266 Numerical Analysis, Solution of Linear Equations
And a further 3 modules from the above list or
MATH206 Group Project
MATH261 Introduction to Methods of Operational Research
MATH262 Financial Mathematics 2
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH265 Measure Theory and Probability
MATH267 Financial mathematics 1
MATH268 Operational Research: Probabilistic Models
EDUC500 Mathematics in Schools
Or modules in computer science, physics, geophysics, or geology.
Year 35 modules from
MATH302 History of Mathematics
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH360 Applied Stochastic Models
MATH361 Theory of Statistical Inference
MATH362 Applied Probability
MATH363 Linear Statistical Models
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH367 Networks in Theory and Practice
Plus 3 modules from the Year 4 List, excluding MATH490.
Year 45 modules from
MATH410 Manifolds, Homology & Morse Theory
MATH421 Linear Differential Operators in Mathematical Physics
MATH423 Introduction to String Theory
MATH424 Analytical & Computational Methods for Applied Mathematics
MATH425 Quantum Field Theory
MATH426 Mathematical Biology
MATH427 Waves. Mathematical Modelling
MATH431 Introduction to Modern Particle Theory
MATH432 Mathematical Physics Project
MATH441 Higher Arithmetic
MATH442 Representation Theory of Finite Groups
MATH443 Curves and Singularities
MATH444 Elliptic Curves
MATH446 Groups and Lie Algebras
MATH449 Galois Theory
MATH455 Differentiable Functions
MATH456 Introduction to Knot Theory and Low Dimensional Topology
MATH499 Project Module for MMath*
MATH490 Project Modulefor MMath (Counts as 2 modules)*
Plus 3 modules from the Year 3 list.*These two modules cannot both be
taken in Year 4
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
G1R9: BSc Mathematical Sciences with a European Language From Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
One of
MATH111 Mathematical IT Skills
COMP101 Introduction to Programming in JAVA
And Two of
MATH122 Dynamic Modelling
MATH142 Numbers, Groups and Codes
MATH162 Introduction to Statistics
COMP102 Introduction to Databases
Plus 30 credit’s worth in your chosen language
Year 2Compulsory Module
MATH243 Complex Functions
And one of
MATH201 Ordinary Differential Equations
MATH224 Introduction to the Methods of Applied mathematics
And at least one of
MATH244 Linear Algebra and Geometry
MATH142 Numbers, Groups and Codes
MATH241 Metric Spaces and Calculus
MATH247 Commutative Algebra
MATH248 Geometry of Curves
And at least one of
MATH206 Group Project
MATH122 Dynamic Modelling
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH227Mathematical Models:
Microeconomics and Population Dynamics
MATH228 Classical Mechanics
MATH266 Numerical Analysis, Solution of Linear Equations
And 2 modules from the above list or
MATH261 Introduction to Methods of Operational Research
MATH262 Financial Mathematics 2
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH268 Operational Research: Probabilistic Models
Or modules in computer science.Plus 30 credit’s worth in your chosen
language.
Year 2AYear Spent Abroad
Year 3At least 6 modules from
MATH302 History of Mathematics
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH360 Applied Stochastic Models
MATH361 Theory of Statistical Inference
MATH362 Applied Probability
MATH363 Linear Statistical Models
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH367 Networks in Theory and Practice
MATH399 Project Module
Plus at least 15 credit’s worth in your chosen language.
In exceptional cases, up to 2 MMath modules may be taken, subject to
approval. See G101 board for details.
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
GR11: BA French and Mathematics From Application to Graduation
Application Successful!
Graduation!
Year 1Compulsory Modules
MATH101 Calculus 1
MATH102 Calculus 2
MATH103 Introduction to Linear Algebra
FREN101 Modern French Language 1
MODL105 Language Awareness
FREN102 Modern French Language 1
FREN122 Introduction to the Short French Narrative
And one of
MATH122 Dynamic Modelling
MATH142 Numbers, Groups and Codes
Year 2Compulsory Modules
FREN201 FREN202
At least one of
MATH201 Ordinary Differential Equations
MATH243 Complex Functions
And 2 modules from the above list or
MATH206 Group Project
MATH224 Introduction to the Methods of Applied mathematics
MATH225 Vector Calculus with Applications in Fluid Mechanics
MATH227Mathematical Models:
Microeconomics & Population Dynamics
MATH228 Classical Mechanics
MATH241 Metric Spaces and Calculus
MATH244 Linear Algebra and Geometry
MATH247 Commutative Algebra
MATH248 Geometry of Curves
MATH261 Introduction to Methods of Operational Research
MATH262 Financial Mathematics 2
MATH263 Statistical Theory and Methods 1
MATH264 Statistical Theory and Methods 2
MATH265 Measure Theory and Probability
MATH266 Numerical Analysis, Solution of Linear Equations
MATH267 Financial Mathematics 1
MATH268 Operational Research: Probabilistic Models
Plus 2 additional Year 2 French modules.
Year 2AYear Spent Abroad
Year 3Compulsory Modules
FREN301 FREN302
4 modules from
MATH302 History of Mathematics
MATH322 Chaos and Dynamical Systems
MATH323 Further Methods of Applied Mathematics
MATH324 Cartesian Tensors & Mathematical Models of Solids and Viscous Fluids
MATH325 Quantum Mechanics
MATH326 Relativity
MATH331 Mathematical Economics
MATH332 Population Dynamics
MATH342 Number Theory
MATH343 Group Theory
MATH344 Combinatorics
MATH349 Differential Geometry
MATH350 Analytic Methods in Higher Geometry
MATH351 Analysis and Number Theory
MATH360 Applied Stochastic Models
MATH361 Theory of Statistical Inference
MATH362 Applied Probability
MATH363 Linear Statistical Models
MATH364 Medical Statistics
MATH366 Mathematical Risk Theory
MATH367 Networks in Theory and Practice
MATH399 Project Module
Plus 2 additional Year 3 French modules.
In exceptional cases, up to 2 MMath modules may be taken, subject to
approval. See G101 board for details.
General MathsApplied Maths / Theoretical PhysicsPure MathsStatistics / ORProject ModulesOther Subjects
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