| ALGEBRA | MTH-2C3Y | 20 |
| (a) Vector space, basis and dimension. Linear maps, rank-nullity. Matrices, change of basis, minimal and characteristic polynomial. Diagonalization. Inner product on Rn, Gram-Schmidt process, examples from algebra and analysis. (b) Revision of basic concepts. Cosets, Lagrange's theorem. Normal subgroups and factor groups. First isomorphism theorem. Rings, elementary properties and examples of commutative rings. Ideals, quotient rings. Polynomial rings and construction of finite fields. Unique Factorization in rings. |
| ANALYSIS | MTH-2C1Y | 20 |
| (a) Continuity, differentiation, uniform convergence, power series and how they represent functions for both real and complex variables. (b) Topology of the complex plane, holomorphic functions, Cauchy-Riemann equations, complex integration, Cauchy and Laurent theorems, residue calculus. |
| AQUATIC ECOLOGY | ENV-2A01 | 20 |
| An analysis of how biological, chemical and physical influences shape the biological communities of rivers, lakes and estuaries in temperate and tropical regions. There is an important practical component to this module and the first of the three pieces of written work involves statistical analysis of class data. The module fits well with other ecology modules and can also be taken alongside geochemical, sedimentological or hydrological modules. The module may also appeal to students with interests in international development. Pre-requisite requirements: A first-year ecology module in either ENV or in the School of Biological Sciences or an A-level in a biological subject or a biologically biased access course plus familiarity with basic statistics and data analysis. |
| AQUATIC ECOLOGY (CW) | ENV-2A01C | 20 |
| An analysis of how biological, chemical and physical influences shape the biological communities of rivers, lakes and estuaries in temperate and tropical regions. There is an important practical component to this module and the first of the three pieces of written work involves statistical analysis of class data. The module fits well with other ecology modules and can also be taken alongside geochemical, sedimentological or hydrological modules. The module may also appeal to students with interests in international development. Pre-requisite requirements: An academic background in ecology at first year undergraduate level plus familiarity with basic statistics and data analysis. |
| ASYMPTOTIC ANALYSIS | MTH-3E37 | 20 |
| This 20 credit module provides introduction to asymptotic analysis of algebraic equations, ordinary and partial differential equations and integrals. Asymptotic analysis is an important tool in almost all branches of science and engineering. This analysis provides useful but approximate solutions and formulae with an accuracy which is well understood and controllable. The course covers asymptotic expansions, divergent asymptotic series, local approximations, regular and singular perturbations of solutions, asymptotic formulae, Laplace and Fourier integrals, method of strained coordinates, method of multiple scales, matched asymptotic expansions, matching rules. |
| ASYMPTOTIC ANALYSIS (CW) | MTH-3E37C | 20 |
| This 20 credit module provides introduction to asymptotic analysis of algebraic equations, ordinary and partial differential equations and integrals. Asymptotic analysis is an important tool in almost all branches of science and engineering. This analysis provides useful but approximate solutions and formulae with an accuracy which is well understood and controllable. The course covers asymptotic expansions, divergent asymptotic series, local approximations, regular and singular perturbations of solutions, asymptotic formulae, Laplace and Fourier integrals, method of strained coordinates, method of multiple scales, matched asymptotic expansions, matching rules. |
| ATMOSPHERIC CHEMISTRY AND GLOBAL CHANGE | ENV-2A37 | 20 |
| Atmospheric chemistry and global change are in the news: stratospheric ozone depletion, acid rain, climate change, photochemical smog, global-scale air pollution, etc. This module covers the fundamental chemical principles and processes involving gases and particles in Earth���s changing atmosphere. It comprises lectures, problem solving classes, practical and computing labs, as well as a field trip to UEA's own atmospheric observatory in Weybourne/North Norfolk. |
| ATMOSPHERIC CHEMISTRY AND GLOBAL CHANGE (CW) | ENV-2A37C | 20 |
| Coursework only version of ENV-2A37 - NB reserved for autumn semester visiting students and those students taking ENV-2G02 Semester in Australia. |
| CHEMICAL OCEANOGRAPHY | ENV-2A45 | 20 |
| Covers the major processes that set the chemical composition of the oceans, the distribution of nutrient, and carbon, the distribution of life in the oceans and the interaction of the oceans and atmosphere. how this interacts with the atmosphere to maintain the global environment of the Earth. Elements of physical oceanography and ocean circulation, of geochemistry, marine biology and global change science are covered. |
| CHEMICAL OCEANOGRAPHY (CW) | ENV-2A45C | 20 |
| Covers the major processes that set the chemical composition of the oceans, the distribution of nutrient, and carbon, the distribution of life in the oceans and the interaction of the oceans and atmosphere. Elements of physical oceanography and ocean circulation, of geochemistry, marine biology and global change science are covered. Coursework only version for Visiting Students. |
| CLIMATE CHANGE HISTORY, ECONOMICS AND GOVERNANCE (CW) | ENV-2A09C | 20 |
| Understanding modern and ancient depositional environments: their processes and products. Economic and environmental aspects of sediments. |
| CLIMATE CHANGE: SCIENCE AND POLICY | ENV-2A09 | 20 |
| Understanding modern and ancient depositional environments: their processes and products. Economic and environmental aspects of sediments. |
| COMBINATORICS | MTH-2G40 | 10 |
| BEFORE TAKING THIS MODULE YOU MUST TAKE MTH-1C17 OR EQUIVALENT 1. Colouring Things: Graphs, Colourings, chromatic numbers, and Ramsey Theory. 2. Counting Things: Binomial coefficients, Inclusion-Exclusion formula, Compositions and partitions. |
| CRYPTOGRAPHY | MTH-2G27 | 10 |
| Cryptography is the science of keeping secrets secret. Throughout history there are numerous examples of use of cryptography. For instance, Caesar himself used to send encrypted messages to his generals using the now-called Caesar cypher. Nowadays, with the development of internet, the need for efficient ways to communicate private data has never been greater._In this course, we will first give a brief account of cryptography through history, we will then introduce some results in number theory which are essential to cryptography and finally, we will study some of the most famous cryptosystems (such as RSA). MTH-1C36 is not a prerequisite or co-requisite but is recommended. |
| DIFFERENTIAL EQUATIONS | MTH-2C41 | 10 |
| THIS MODULE IS RESERVED FOR STUDENTS ON U1N323401- ACTUARIAL SCIENCES AND U1G390301 - BUSINESS STATISTICS- Differential Equations: Fourier series. Partial differential equations (PDEs): diffusion equation, wave equation, Laplace's equation. Solution by separation of variables in Cartesian and polar co-ordinates. Ordinary differential equations (ODEs): solution by reduction of order and variation of parameters. Series solution and the method of Frobenius. Legendre's and Bessel's equations: Legendre polynomials, Bessel functions and their recurrence relations. |
| DIFFERENTIAL EQUATIONS (CW ONLY) | MTH-2C41C | 10 |
| THIS MODULE IS RESERVED FOR VISITING STUDENTS: Differential Equations: Fourier series. Partial differential equations (PDEs): diffusion equation, wave equation, Laplace's equation. Solution by separation of variables in Cartesian and polar co-ordinates. Ordinary differential equations (ODEs): solution by reduction of order and variation of parameters. Series solution and the method of Forbenius. Legendre's and Bessel's equations: Legendre polynomials, Bessel functions and their recurrence relations. |
| DIFFERENTIAL EQUATIONS AND ALGORITHMS | MTH-2C4Y | 20 |
| (a) Differential Equations: Fourier series. Partial differential equations (PDEs): diffusion equation, wave equation, Laplace's equation. Solution by separation of variables in Cartesian and polar coordinates. Ordinary differential equations (ODEs): solution by reduction of order and variation of parameters. Series solution and the method of Frobenius. Legendre's and Bessel's equations: Legendre polynomials, Bessel functions and their recurrence relations. (b) Algorithms: An introduction to a variety of numerical methods. Solution of linear algebraic equations. Solution of nonlinear equations. Numerical integration. Numerical Solution of ODEs. |
| DYNAMICAL OCEANOGRAPHY | MTH-3E48 | 20 |
| This course applies fluid dynamics to the study of the circulation of the oceans. Topics studied include: geostrophic flow, Ekman layers, wind driven circulation, western boundary currents (e.g. the Gulf Steam), abyssal circulation, Rossby waves, Kelvin waves, Equatorial dynamics, Southern Ocean dynamics. |
| EARTH AND LIFE | ENV-3A38 | 20 |
| This module introduces Earth system science, taking a top-down approach to the Earth as a whole system, and tracing its development since its formation 4.5 billion years ago. The main focus is on the coupled evolution of life and its environment through a series of revolutions. Theoretical approaches are introduced, including Gaia, feedback mechanisms and systems theory, and practical sessions use models to build up conceptual understanding. The subject is inherently inter-disciplinary, including aspects of biology, chemistry and physics, and unifying the study of climate and global biogeochemical cycles. Co-taught with ENV-MA38. |
| EARTH SCIENCE FIELD SKILLS | ENV-2A98K | 10 |
| In addition to the laboratory-based skills offered in ENV 2A96 (Earth Science Skills) this module concentrates on Earth Science field observation, description and interpretation. During a residential course you will develop a field skill-set, which is designed for students planning an independent project requiring Earth Science field skills. This module is strongly recommended for Environmental Earth Science students. The primary focus will be on geological mapping, structure and stratigraphy, but this module may include hydrogeological, geochemical and Quaternary techniques depending on field location and staff availability. Assessment is course work only. Students should have completed at least 40 credits of Earth Science or Geophysics modules before taking this module. |
| EARTH SCIENCE SKILLS | ENV-2A96 | 10 |
| Good observational and descriptive skills lie at the heart of many areas of Environmental Science. This module is designed to develop those and is particularly suitable for students with interests in Earth and Geophysical Sciences. It will cover generic Earth Science skills of use for projects in this area. The module will include: observing, describing and recording the characteristics of geological materials (hand specimen and under microscope); measuring and representing 3d data, and reading geological maps. It will be taught mostly in laboratory classes and by self-study exercises. Taught in the second half of the semester. Before taking this module you must take or be enrolled on at least 40 credits from this list - ENV-2A12, ENV-2A12K, ENV-2A43, ENV-2A65, ENV-2A25, ENV-2A27, ENV-2A30. |
| EARTH SYSTEM GEOCHEMISTRY | ENV-2A30 | 20 |
| Examines how the earth system and its geochemical cycling operate on both global and micro scales. Emphasis is on natural cycles, starting with big themes such as crust-hydrosphere-biosphere interaction and its effects on the long term C cycle, including regulation of carbon dioxide. Elements, isotopes, organic molecules (and their isotopic compositions) are used as tracers of processes and events in earth history. Organic matter, its chemistry and its relationship to both the C and S cycles is explored. Dating of geological materials with radiometric methods is introduced. The course explores themes in both deep time (millions of years) and more recent glacial-interglacial cycles (thousands to hundreds of thousands of years). |
| EARTHQUAKE AND VOLCANIC HAZARDS | ENV-3A04 | 20 |
| The aim of the module is to be able to solve geophysical problems (both physical and chemical) in a methodical way. Problems will be described conceptionally, then defined mathematically, then solved numerically. Emphasis on numerical solutions to partial differential equations encountered in geophysical sciences: their stability and accuracy. Case studies from meteorology, oceanography, hydrology and geophysics. Extensive project work involved. |
| EARTHQUAKE AND VOLCANIC HAZARDS WITH FIELDCOURSE | ENV-3A04K | 20 |
| Earthquakes and volcanic eruptions have significant environmental and societal impacts. This module focuses on the physical basis and analysis of each hazard, their global range of occurrence and their global impact. The module also addresses approaches towards hazard mitigation and minimising vulnerability, with an emphasis on their practical implication. Scenarios and probabilities occurrence of mega-disasters are also investigated. A one week field trip in Scotland takes place to introduce you to various aspects of natural hazards and in particular to faulting and earthquake hazards. This module is co-taught with ENV-MA04K |
| ELECTRICITY AND MAGNETISM | MTH-3E74 | 20 |
| The behaviour of electric and magnetic fields is fundamental to many features of life we take for granted yet the underlying equations are surprisingly compact and elegant. We will begin with an historical overview of electrodynamics to see where the governing equations (Maxwell's) come from. We will then use these equations as axioms and apply them to a variety of situations including electro- and magneto-statics problems and then time-dependent problems (eg electromagnetic waves). We shall also consider how the equations change in an electromagnetic media and look at some simple examples. |
| EMPLOYABILITY SKILLS FOR ENVIRONMENTAL SCIENTISTS | ENV-2B52 | 10 |
| In this module you will acquire the generic work-ready skills relevant to graduate level employment in the Environmental business sector. The module objectives and content is shaped by consultation with managers of business in the Environmental Sciences sector including Local Government, Providers of Environmental Services and Utilities, Energy Exploration, Sustainable Energy Resources, Conservation and Not-for-profit organisations. These highly desirable work-ready skills that are currently lacking in the majority of graduate students will be taught through a theoretical understanding and supported by practice of skills through environmental case studies that include sessions led by guest speakers associated with a range of Environmental business. |
| ENVIRONMENTAL ANALYTICAL CHEMISTRY | ENV-2A92 | 10 |
| This module is designed to teach skills necessary for the acquisition of good quality chemical data in environmental systems, and in the interpretation of this data. The module will focus on the collection of environmental samples for chemical analysis, methods of chemical analysis and the analytical and mathematical techniques used for data quality control. There will be a large component of practical work. This module will be particularly relevant for those wishing to do a chemistry-related project later in their degree. Taught in the first half of the semester. |
| ENVIRONMENTAL POLITICS AND POLICY MAKING | ENV-2A06 | 20 |
| Examines the theoretical and empirical development of environmental politics in modern society (mostly in the European Union) including: the sources of modern environmentalism and its many manifestations in modern policy making systems; the environmental policies of the UK and the European Union; different theories of political power and public policy making; the role of environmental pressure groups and business; global environmental politics and policy making. The module draws heavily on the theoretical interpretation of everyday examples of politics, which are explored in student seminar presentations and in an extended case study (i.e. essay). This module is co-convened by Professor Andrew Jordan and Dr Irene Lorenzoni. |
| FLUIDS AND SOLIDS | MTH-2C2Y | 20 |
| (a) Hydrostatics, compressibility. Kinematics: velocity, particle path, streamlines. Continuity, incompressibility, streamtubes. Dynamics: Material derivative, Euler's equations, vorticity and irrotational flows. Velocity potential and streamfunction. Bernoulli's equation for unsteady flow. Circulation: Kelvin's Theorem, Helmholtz's theorems. Basic water waves. (b) An introduction to continuum physics, linear elasticity as an example. The strain and stress tensors. Conservation of mass, linear momentum, angular momentum. Equilibrium equations, symmetry of stress tensor. Generalised Hooke's law. Bulk, shear and Young's moduli, Poisson's ratio. Strain energy. Boundary-value problems, Bending and torsion of a rod. Plane P and S waves. |
| FREE SURFACE FLOWS | MTH-3D77 | 20 |
| Inviscid jets; stability analysis; infinite jet; semi-infinite jet; one-dimensional approximations; viscous jets; similarity solutions and breakup. Drops; satellite droplets. Uniform and nonuniform inviscid liquid sheets; temporal instability, convective/absolute instability. Viscous liquid sheets, waves on liquid sheets. Numerical simulations. |
| GALOIS THEORY | MTH-3E21 | 20 |
| The module leads to a proof of the insolubility of quintic equations. Amongst the topics covered are field extensions, normality and separability. The Galois correspondence and Galois groups. The existence and uniqueness of finite fields and transcendence. |
| GEODYNAMICS: EARTH'S ENGINE | ENV-2A43 | 20 |
| Processes in the Earth’s interior have exerted a profound influence on all aspects of the Earth’s system through geological time. This module is designed to explore all aspects of those processes from the creation and destruction of tectonic plates to the structure of the Earth’s interior and the distribution and dissipation of energy within it. This will include: the theory and mechanisms of plate tectonics, the heat distribution of the Earth’s interior, the generation of magma and volcanism; the mechanisms behind earthquakes and distribution of seismic energy. The geological record of this activity, its evolution and impacts on the Earth will also be discussed. |
| GEODYNAMICS: EARTH'S ENGINE (CW) | ENV-2A43C | 20 |
| Processes in the Earth���s interior have exerted a profound influence on all aspects of the Earth���s system through geological time. This module is designed to explore all aspects of those processes from the creation and destruction of tectonic plates to the structure of the Earth���s interior and the distribution and dissipation of energy within it. This will include: the theory and mechanisms of plate tectonics, the heat distribution of the Earth���s interior, the generation of magma and volcanism; the mechanisms behind earthquakes and distribution of seismic energy. The geological record of this activity, its evolution and impacts on the Earth will also be discussed. THIS IS FOR VISITING STUDENTS ONLY. |
| GIS SKILLS FOR DISSERTATIONS | ENV-2A94 | 10 |
| This module focuses on the practical use of GIS for dissertations. After an introductory ‘refresher’ of GIS basics it will review the different techniques that can be used to create and edit data in a GIS, as well as existing digital databases from which map data can be extracted and downloaded. Particular attention will be given to Ordnance Survey mapping for the UK, but other international resources will also be discussed. The module will emphasise issues of error and uncertainty as they apply to spatial data and introduce the use of the ArcGIS ModelBuilder as a way of documenting and efficiently repeating more complex analysis procedures. Assessment will be through a small group project involving the download, integration, analysis and display of spatial data. Taught in the second half of the semester. |
| GLOBAL ENVIRONMENTAL CHANGE | ENV-3A20 | 20 |
| An exploration of both the scientific causes of global environmental change and the integrative and complex nature of the societal response to such changes. An examination of attempts to predict future trends in the global environmental over the next few centuries. Topics covered include climate change, the carbon cycle, global pollution, and sea level rise. Group projects will tackle multi-disciplinary topics within these areas, using research literature and by interaction with researchers currently in these fields. |
| GRAPH THEORY | MTH-3E23 | 20 |
| Graphs are among the simplest mathematical structures: sets of points which may or may not be linked by edges. Not surprisingly such structures are fundamental in many parts of science. We give a thorough introduction to the topological, combinatorial and algebraic properties of graphs. |
| HISTORY OF MATHEMATICS | MTH-3D71 | 20 |
| Origins of Counting and Mathematical thinking, the uses and devices of Mathematics in early civilisations. Mathematics as pillar of Greek culture, philosophy and science with particular reference to work of Euclid, Archimedes and Apollonius. The decline of Mathematics in the Dark and Middle Ages with reawakening of interest in Europe through applications in Astronomy, Navigation, Art and Commerce. The Scientific Revolution, the work of Isaac Newton, the conceptual development and logical formulation of the Calculus. The postmodern approach to Algebra and Geometry in the early 19th Century, the concept of Relativity. Students will need some mathematical knowledge to attempt the module. |
| HISTORY OF MATHEMATICS (CW) | MTH-3D71C | 20 |
| THIS MODULE IS RESERVED FOR AUTUMN SEMESTER VISITING STUDENTS ONLY. Origins of Counting and Mathematical thinking, the uses and devices of Mathematics in early civilisations. Mathematics as pillar of Greek culture, philosophy and science with particular reference to work of Euclid, Archimedes and Apollonius. The decline of Mathematics in the Dark and Middle Ages with reawakening of interest in Europe through applications in Astronomy, Navigation, Art and Commerce. The Scientific Revolution, the work of Isaac Newton, the conceptual development and logical formulation of the Calculus. The postmodern approach to Algebra and Geometry in the early C19, the concept of Relativity. Students will need some mathematical knowledge to attempt the unit. |
| HYDROLOGY AND HYDROGEOLOGY | ENV-2A65 | 20 |
| An introduction to hydrology and hydrogeology: the basic equations describing fluid movement in groundwater systems will be derived and applied. The main techniques to investigate groundwater flow systems are highlighted. Water circulation within river catchments is discussed by means of the catchment water balance. The physical process represented by each component of the water balance will be covered as well as the current methods of quantifying these fluxes of water within the catchment . Principles of catchment modelling are outlined. |
| HYDROLOGY AND HYDROGEOLOGY (CW) | ENV-2A65C | 20 |
| An introduction to hydrology and hydrogeology: the basic equations describing fluid movement in groundwater systems will be derived and applied. The main techniques to investigate groundwater flow systems are highlighted. Water circulation within river catchments is discussed by means of the catchment water balance. The physical process represented by each component of the water balance will be covered as well as the current methods of quantifying these fluxes of water within the catchment . Principles of catchment modelling are outlined. Coursework only version for Visiting Students. |
| INTERACTIONS AND POPULATIONS | ENV-2A35 | 20 |
| Ecology can be defined as the scientific study of how organisms interact with each other and their physical environment. In this module we will look closely at how interactions between individuals determine the structure and functioning of populations. We will start by considering antagonistic interactions between members of different trophic levels, their evolution and the possible coevolution. The nature of these interactions will be analysed by examining the rules that determine how animals behave while foraging, including evolution of optimal foraging strategies in relation to both diet width and patchy environments. Consideration of competition will lead into the population consequences of both within trophic level and between trophic level interactions. We will examine basic concepts of population ecology- age structure, limits to growth, time delays and density dependence illustrated using simple models and case studies of plant and animal populations set within an evolutionary context. We will move on to consider the role of mutualistic interactions in dispersal processes and spatially explicit population processes including the effect of landscape structure on population dynamics, metapopulation dynamics, ecological mechanisms (dispersal, predation) and community structure. A-level Biology is an acceptable alternative pre-requisite for this module. Please note: you cannot take this module if you have already taken ENV-2A03, BIO-2B03 or ENV-2A28. |
| INTERACTIONS AND POPULATIONS (CW) | ENV-2A35C | 20 |
| Ecology can be defined as the scientific study of how organisms interact with each other and their physical environment. In this module we will look closely at how interactions between individuals determine the structure and functioning of populations. We will start by considering antagonistic interactions between members of different trophic levels, their evolution and the possible coevolution. The nature of these interactions will be analysed by examining the rules that determine how animals behave while foraging, including evolution of optimal foraging strategies in relation to both diet width and patchy environments. Consideration of competition will lead into the population consequences of both within trophic level and between trophic level interactions. We will examine basic concepts of population ecology- age structure, limits to growth, time delays and density dependence illustrated using simple models and case studies of plant and animal populations set within an evolutionary context. We will move on to consider the role of mutualistic interactions in dispersal processes and spatially explicit population processes including the effect of landscape structure on population dynamics, metapopulation dynamics, ecological mechanisms (dispersal, predation) and community structure. A-level Biology is an acceptable alternative pre-requisite for this module. Please note: you cannot take this module if you have already taken ENV-2A03, BIO-2B03 or ENV-2A28. (Alternative assessment version for autumn semester visiting students.) |
| LOW CARBON ENERGY | ENV-2A82 | 20 |
| This module will focus on the decarbonisation of energy supply and demand in a carbon constrained world. It will examine the role of energy efficiency and low carbon energy technologies, such as wind energy, solar energy, hydrogen and fuel cells, taking into consideration important current issues and sectors for application. This knowledge is used to support an analysis of future energy supply and demand that includes management, policy and technical aspects. This version of the module is assessed by coursework and an exam. |
| LOW CARBON ENERGY WITH FIELDCOURSE | ENV-2A82K | 20 |
| This module will focus on the decarbonisation of energy supply and demand in a carbon constrained world. It will examine the role of energy efficiency and low carbon energy technologies, such as wind energy, solar energy, hydrogen and fuel cells, taking into consideration important current issues and sectors for application. This knowledge is used to support an analysis of future energy supply and demand that includes management, policy and technical aspects. This version of the module, which includes a one week field course that will take place at Easter, is assessed by coursework and fieldwork projects. There is no exam. |
| MARINE SCIENCES FIELDCOURSE | ENV-2A47K | 20 |
| This 11 day 20 credit field course studies physical, chemical and biological coastal oceanographic processes and will probably take place in June. The course includes lectures and practical experience of oceanographic instrumentation, chartwork, numerical analysis of data using matlab and a poster presentation at ENV. The second week of the course will take place in Oban, using the oceanographic research ships and laboratory facilities of the Dunstaffnage Marine Laboratory. The course has no pre- or co-requisites and is open to 1st and 2nd year students. However it will be of particular relevance to those studying ENV-2A39 Ocean Circulation, ENV-2A45 Chemical Oceanography and ENV-3A15 Biological Oceanography and Marine Ecology. PLEASE NOTE THAT YOU CAN ONLY ENROL ONTO THIS MODULE VIA AN APPLICATION FORM FROM THE SCHOOL AND NOT VIA THE STANDARD MODULE ENROLMENT PROCESS. ALSO THE MODULE RUNS IN THE SUMMER PRIOR TO THE START OF THE ACADEMIC YEAR. |
| MATHEMATICAL MODELLING | MTH-2G47 | 10 |
| BEFORE TAKING THIS MODULE YOU MUST TAKE MTH-1C27 OR MTH-1B2Y This module will look at techniques of mathematical modelling, examining how mathematics can be applied to a variety of real problems and give insight in various areas. The topics will include approximation and non-dimensionalising, and discussion of how a mathematical model is created. We will then apply this theory to a variety of models such as traffic flow as well as examples of problems arising in industry. |
| MATHEMATICS FOR SCIENTISTS III | ENV-2A21 | 20 |
| This module contains mathematical techniques applicable to a wide range of ENV modules. Among topics covered: matrix algebra, linear equations and eigenvectors, numerical methods, vector fields, Maple programming and complex variables. |
| MATHEMATICS FOR SCIENTISTS III (CW) | ENV-2A21C | 20 |
| This module contains mathematical techniques applicable to a wide range of ENV modules. Among topics covered:matrix algebra, linear equations and eigenvectors, numerical methods, vector fields, maple programming and complex variables. This coursework only version is reserved for autumn semester visiting students. |
| MATHEMATICS FOR SCIENTISTS IV | ENV-2A22 | 20 |
| This module shows how mathematics can be applied to the environment. Topics include: fluid dynamics, partial differential equations, waves, Fourier analysis, applications of solid mechanics to geophysics, including stress, strain and elasticity. |
| MATHEMATICS MINIPROJECT | MTH-2M01 | 10 |
| This module is reserved for students registered in the School of Mathematics only. A second year project on a mathematical topic. Assessment will be by written project and poster presentation. |
| MATHEMATICS MINIPROJECT | MTH-2M02 | 10 |
| This module is reserved for students registered in the School of Mathematics only. A second year project on a mathematical topic. Assessment will be by written project and poster presentation. |
| METEOROLOGY | ENV-2A23C | 20 |
| THIS IS A COURSEWORK VARIANT FOR AUTUMN SEMESTER VISITING STUDENTS ONLY. Coursework does not include fieldwork. See ENVF2A23. This module is designed to give a general introduction to meteorology, concentrating on the physical processes in the atmosphere and how these influence our weather. The module contains both descriptive and mathematical treatments of Radiation Balance, The General Circulation, Thermodynamics and Dynamics and the assessment is designed to allow those with either mathematical or descriptive abilities to do well; however a reasonable mathematical competence is essential. This coursework only version is reserved for autumn semester visiting students. |
| METEOROLOGY I | ENV-2A23 | 20 |
| Coursework does not include fieldwork. See ENVF2A23. This module is designed to give a general introduction to meteorology, concentrating on the physical processes in the atmosphere and how these influence our weather. The module contains both descriptive and mathematical treatments of Radiation Balance, The General Circulation, Thermodynamics and Dynamics and the assessment is designed to allow those with either mathematical or descriptive abilities to do well; however a reasonable mathematical competence is essential. |
| METEOROLOGY II | ENV-2A24 | 20 |
| This module will build upon the material covered in ENV-2A23 (Meteorology I) covering topics such as synoptic meteorology, micro-scale processes, the General Circulation and weather forecasting. |
| METEOROLOGY II WITH FIELDCOURSE | ENV-2A24K | 20 |
| This module will build upon material covered in ENV-2A23 (Meteorology I) covering topics such as synoptic meteorology, micro-scale processes, the General Circulation and weather forecasting. The module also includes a week long Easter vacation residential fieldcourse, based in the Lake District, focusing on micrometeorology, microclimate and synoptic processes. |
| NUMBER THEORY | MTH-3E56 | 20 |
| This module will be assessed by 100% examination, but you may also be informally assessed by coursework and/or project. The module will begin with a topic that occupied the ancient Greeks and continues to occupy us today, namely the study of Diophantine equations. After discovering some algebraic techniques to solve these equations, we will proceed to the study of elliptic curves. The viewpoint here is one of combining geometry and algebra to study equations. The course will end with an introduction to the Riemann zeta function and the Riemann hypothesis. The latter is one of the oldest unsolved problems in mathematics, and is worth a million dollars! |
| OCEAN CIRCULATION | ENV-2A39 | 20 |
| This module gives you an understanding of the physical processes occurring in the basin-scale ocean environment. We will introduce and discuss large scale global ocean circulation, including gyres, boundary currents and the overturning circulation. Major themes include the interaction between ocean and atmosphere, and the forces which drive ocean circulation. You should be familiar with partial differentiation, integration, handling equations and using calculators. Co-taught with ENV-MA39 |
| OCEAN CIRCULATION (CW) | ENV-2A39C | 20 |
| This module gives you an understanding of the physical processes occurring in the basin-scale ocean environment. We will introduce and discuss large scale global ocean circulation, including gyres, boundary currents and the overturning circulation. Major themes include the interaction between ocean and atmosphere, and the forces which drive ocean circulation. You should be familiar with partial differentiation, integration, handling equations and using calculators. Co-taught with ENV-MA39. THIS MODULE IS FOR VISITING STUDENT ONLY. |
| QUANTUM MECHANICS | MTH-2G50 | 10 |
| The motion of very small systems such as atoms does not satisfy the equations of classical mechanics. For example an electron orbiting a nucleus can only have certain discrete energy levels. In quantum mechancis the motion of a particle is described by a wave function which describes the probability of the particle having a certain energy. Topics addressed in this module include: Wave Functions, Schrodinger's Equation, Uncertainty Principle, Wave Scattering, Harmonic Oscillators. |
| RESEARCH SKILLS FOR SOCIAL SCIENTISTS | ENV-2A90 | 10 |
| The study of society and its relationship to the natural environment poses distinct research challenges and social science presents a range of approaches and methods with which to address these problems. This module provides an introduction to the theory and practice of social science research. It covers research design, sampling, data collection, data analysis and interpretation, and presentation of results. It is recommended for any student intending to carry out a social science-based research project. Taught in the first half of the semester. |
| SEDIMENTOLOGY | ENV-2A25 | 20 |
| Understanding modern and ancient depositional environments: their processes and products. Economic and environmental aspects of sediments. |
| SEDIMENTOLOGY (CW) | ENV-2A25C | 20 |
| Coursework only version of ENV-2A25 - NB reserved for autumn semester visiting students and those students taking ENV-2G02 Semester in Australia only. |
| SET THEORY | MTH-3E18 | 20 |
| Zermelo-Fraenkel set theory. The Axiom of Choice and equivalents. Cardinality, countability, and uncountability. Trees, Combinatorial set theory. |
| SOIL ENVIRONMENTS AND PROCESSES (CW) | ENV-2A27C | 20 |
| This module will combine lectures, practicals, seminars and fieldwork to provide students with an appreciation of the soil environment and the processes that occurs within it. The module will progress through: basic soil components/properties; soil identification and classification; soil as a habitat; soil organisms; soils functions;the agricultural environment; soil-organism-agrochemical interation. This coursework only version is reserved for autumn semester visiting students. |
| SOIL PROCESSES AND ENVIRONMENTAL ISSUES | ENV-2A27 | 20 |
| This module will combine lectures, practicals, seminars and fieldwork to provide students with an appreciation of the soil environment and the processes that occurs within it. The module will progress through: basic soil components/properties; soil identification and classification; soil as a habitat; soil organisms; soil functions; the agricultural environment; soil-organism-agrochemical interaction; soil contamination; soil and climate change. |
| SOLID EARTH GEOPHYSICS | ENV-2A12 | 20 |
| What lies beneath our feet? This module addresses this question by exploring how waves, rays and the various physical techniques are used in geophysics to image the subsurface on scales of metres to kilometres . The basic theory and interpretation methods of seismic, electrical and gravity and magnetic surveys are studied. A wide range of applications is covered including archaeological geophysics, energy resources and geohazards. Students doing this module are normally expected to have a good mathematical ability, notably in calculus and algebra before taking this module (ENV-1A61 Mathematics for Scientists I, ENV-1A62 Mathematics for Scientists II or equivalent). |
| SOLID EARTH GEOPHYSICS WITH FIELDCOURSE | ENV-2A12K | 20 |
| What lies beneath our feet? This module addresses this question by exploring how waves, rays and the various physical techniques are used in geophysics to image the subsurface on scales of meters to kilometres. The basic theory and interpretation methods of seismic, electrical and gravity and magnetic surveys are studied. A wide range of applications is covered including archaeological geophysics, energy resources and geohazards. The fieldcourse provides "hands-on" experience of the various techniques and applications, adding on valuable practical skills. This module is highly valued by employers in industry; guest industrial lecturers will cover the current 'state-of-the-art' applications in real world situations. Students doing this module are normally expected to have a good mathematical ability, notably in calculus and algebra before taking this module (ENV-1A61 Mathematics for Scientists I, ENV-1A62 Mathematics for Scientists II or equivalent). |
| STATISTICAL MECHANICS | MTH-3E64 | 20 |
| In principle, the laws of classical and quantum mechanics provide a complete description to allow us to predict the microscopic state of a system. However, for a large class of systems consisting of many degrees of freedom (e.g. molecules in a gas), it is completely impractical nor even necessary to adopt such a detailed description. Rather, it is typically sufficient to seek a macroscopic formulation that is related to the microscopic properties of the problem. This is what we commonly do, for example, when modelling the dynamics of fluids as functions of the macroscopic variables such as pressure, temperature, and density. The course will begin by using very elementary concepts of probability theory to derive macroscopic thermodynamic properties such as temperature from the microscopic properties of individual atoms or molecules. At very low temperatures, quantum effects begin to play an important role. By extending our analysis to such systems, we are able to predict the existence of a new state of matter known as a Bose-Einstein condensate which was first produced in the Laboratory as recently as 1995. The tools of statistical mechanics are useful in many branches of applied mathematics.��While the module is self-contained, it is strongly recommended that students also take MTH-2G50 which will reinforce a number of the concepts used here. |
| THE LEARNING & TEACHING OF MATHEMATICS | MTH-3T01 | 10 |
| This module explores theories of learning and teaching mathematics at secondary and post-compulsory level. Preparation for initial Teacher Training is discussed. This module is recommended for mathematics students considering mathematics teaching as a career. This module is for Year 3 Mathematics students only. |
| WAVES, TIDES AND SHALLOW WATER PROCESSES | ENV-2A40 | 20 |
| This module will explore physical processes in the ocean, building on what you learnt in Ocean Circulation. There will be a focus on applications of ocean physics to shelf seas. Topics will include: Tide generation, forces, harmonic tidal analysis of time series, propagation in shallow seas; Surface and internal waves, their role in air-sea exchange and upper ocean mixing; Role of tides and internal waves in global ocean mixing; Impact of ocean physics on biogeochemical processes, including seasonal phytoplankton blooms and shelf sea fronts; Remote sensing of sea surface temperature and chlorophyll shelf seas. Estuarine circulation and sediment transport; Applications of ocean physics to water quality and pollution monitoring; Role of ocean science in the marine energy industry. This module is designed to follow on from ENV-2A39, which is a pre-requisite. We strongly recommend that you also gain experience of marine fieldwork by taking the 20-credit biennial Marine Sciences fieldcourse, next running in June 2013. |
| YEAR ABROAD IN EUROPE | ENV-2Y2Y | 120 |
| A year long course of study at a continental European university currently, we offer exchanges with universities in Sweden, France and Spain. The exact form of assessment will vary from institution to institution and will normally be conducted in the language of the host country. The modules studied overseas must be approved in advance by the Course Director. All changes whilst abroad must also be approved in advance by the Course Director. |
| YEAR ABROAD IN NORTH AMERICA | ENV-2Y1Y | 120 |
| Modules taken at an overseas university subject to the approval of the Course Director. |
| YEAR IN AUSTRALASIA | ENV-2Y4Y | 120 |
| Modules are taken at a university in Australia or New Zealand, and those taken are subject to approval by the course director. |
| YEAR IN AUSTRALIA | MTH-3X4Y | 120 |
| A year studying in Australia. |
| YEAR IN INDUSTRY | ENV-2Y5Y | 100 |
| This module represents the year spent on work placement by students registered on an ENV programme incorporating a year in industry. Assessment is purely on a pass/fail basis with respect to completing a work placement, complementary to the degree, of at least nine months duration. A separate compulsory module, CCE-2A2Y, associated with the year in industry, does have additional assignments. |
| YEAR IN NORTH AMERICA | MTH-3X3Y | 120 |
| A year studying in North America. |
The University of East Anglia in Norwich offers a unique degree in Geophysical Sciences, encompassing not only the solid Earth but the whole Earth system and its interactions, which control our environment. We follow a complete and integrated physical approach to address the environmental issues that threaten our future.
Environmental science is a rapidly progressing, vibrant and exciting field of study with excellent career prospects in the UK and beyond.