Biology, Chemistry and Maths

This module combines lectures and laboratory classes and introduces you to the structure and function of significant molecules in cells, and the important metabolic processes which occur inside them. You will study, amongst other topics, protein and enzyme structure and function, the biosynthesis of cell components, and the role of cell membranes in barrier and transport processes. You'll examine how information in DNA is used to determine the structure of gene products. Topics include DNA structure, transcription and translation and mutation and recombinant DNA technology.

40 credits throughout the full year.

Starting with Darwin’s theory of evolution, you will learn how natural selection and other evolutionary forces have shaped the ways in which organisms interact with each other and their environment. In addition to lectures, practical classes will give you hands-on experience with a range of ecological and behavioural concepts in the laboratory and the field.

20 compulsory credits throughout the full year.

Life on Earth provides an introduction to the fundamental characteristics and properties of the myriad of organisms which inhabit our planet, from viruses, bacteria and Archaea, to plants and animals. In weekly lectures, and regular laboratory practical classes, you will consider how living organisms are classified, how they are related genetically and phylogenetically, and basic aspects of their structure and function.

20 compulsory credits throught the full year.

To provide a fundamental understanding of the basics of organic chemistry, including nomenclature, molecular structure and bonding, stereochemistry and the chemical reactivity of common functional groups and reaction types through an understanding of their electronic properties. 

To provide an introduction to fundamental physical aspects of chemistry, which underpins all areas of Chemistry - emphasis will be placed on being able to apply knowledge, especially in solving problems. 

To introduce a range of chemical techniques appropriate to the study of inorganic, organic and physical chemistry at first year level, which will act as a foundation for more advanced work in subsequent years.

40 compulsory credits throughout the full year.

Basic theory is extended to more advanced topics in the calculus of several variables. In addition, the basic concepts of complex numbers, vector and matrix algebra are established and extended to provide an introduction to vector spaces. Students are introduced to different types of proof, such as direct proof, proof by contradiction and proof by induction, as well as theorems and tests for determining the limits of sequences and series. An emphasis in the course is to develop general skills and confidence in applying the methods of calculus and developing techniques and ideas that are widely used and applicable in subsequent modules.

40 compulsory credits throughout the year

In this module you will learn about the structure and function of the eukaryotic genome, including that of humans, and the approaches that have led to their understanding. You will learn about techniques that are employed to manipulate genes and genomes and how they can be applied to the field of medical genetics. By using specific disease examples, you will learn about the different type of DNA mutation that can lead to disease and how they have been identified. Practical elements will teach you about basic techniques used in medical genetics such as sub-cloning of DNA fragments into expression vectors. Practical classes and problem based learning will be used to explore the methods used for genetic engineering and genome manipulation.

20 compulsory credits throughout the year.

You'll cover the key groups of eukaryotic and prokaryotic microorganisms relevant to microbial biotechnology, principles of GM, and strain improvement in prokaryotes and eukaryotes. The impact of “omics”, systems biology, synthetic biology and effects of stress on industrial microorganisms are explored, alongside the activities of key microorganisms that we exploit for biotechnology.

10 compulsory credits in the Spring Semester.

Molecular events that occur during the control of gene expression in bacteria will be explored. You'll learn by considering case studies, which will show you how complex programmes of gene action can occur in response to environmental stimuli. You will also study the regulation of genes in pathogenic bacteria.

10 compulsory credits in the Spring Semester.

You will study microbiology, learning about pathogenic microbes including viruses, fungi, parasites and the roles of bacteria in health and disease. You will learn how the body generates immunity; the causes of diseases associated with faulty immune responses will be considered. In applied microbiology you will be introduced to recombinant DNA technology and prokaryotic gene regulation.

20 credits in the Autumn Semeseter.

This module will teach you the underlying neurophysiology and pathology associated with several common CNS disorders and the neuropharmacology of currently available medication. You will learn about the neurotransmitters and pathways involved in normal brain function and how changes in these contribute to abnormal function. You will also decipher the pharmacological mechanisms of drugs used to treat these CNS disorders. You will cover numerous human diseases including those with great significance such as Alzheimer's disease, epilepsy, schizophrenia and autism.

20 credits in the Spring Semester.

Introduces key evolutionary concepts and their application in the animal kingdom. Areas you will study include the history of evolutionary thinking, natural selection versus the neutral theory, sexual selection and human evolution.

10 credits in the Autumn Semester.

Examines the basic concepts of vertebrate embryonic development. You will discuss specific topics including germ cells, blood and muscle cell differentiation, left-right asymmetry and miRNAs. The teaching for this module is delivered through lectures. 

10 credits in the Spring Semester.

You will learn about the forces determining the distribution and abundance of species and be able to use models to predict the dynamics of populations under a range of conditions. You will recognise how interactions between species can drive co-evolutionary processes leading to an understanding of the organisation of natural systems working systematically from populations through to communities, ecosystems and biogeographical scales.

20 compulsory credits in the Autumn Semester.

This module explores the evolution of key plant systems through deep time, and the significance of this process for understanding modern ecology and food security. You will learn about the challenges that plants faced when moving onto land and evolutionary innovations within the early spermatophytes. You will also gain an understanding of the power of natural selection in producing plant diversity over deep time.

20 compulsory credits in the Spring Semester.

A comprehensive introduction to the study of animal behaviour, from the physiological and genetic bases of behaviour to its development through learning and its adaptive significance in the natural environment. Through practical classes, you will learn about the physiological basis of fundamental behaviours. Using examples from across the animal kingdom, you will learn how predictive modelling, experimental and observational approaches integrate to explain how and why animals behave as they do.

20 credits in the Spring Semester.

Studying this module, you'll be able to explain how the nervous system develops, is organised, and processes information. This will be achieved through presentation of comparative invertebrate and vertebrate studies, consideration of evolutionary concepts, and a detailed analysis of the development, structure, and function of the mammalian brain. The lecture sessions are complemented by workshops on Drosophila and chick embryo development, on the neuroanatomy of the human spinal cord, and dissection of pig brains subject to the availability of tissue.

20 credits in the Autumn Semester.

Introduces key evolutionary concepts and their application in the animal kingdom. Areas you will study include the history of evolutionary thinking, natural selection versus the neutral theory, sexual selection and human evolution.

10 credits in the Autumn Semester.

Reproductive Physiology of both male and female mammals including comparative information for farm animals and human. Reproductive physiological processes and their regulation from gametogenesis to fertilization and preparations for a successful pregnancy. Development of mammary glands and hormonal regulation of lactation will also be discussed. Principal features of avian reproduction and the avian maintenance of calcium homeostasis for efficient egg formation. Hormonal regulation of egg laying with emphasis on the nutritional and metabolic challenges associated with commercial rates of egg lay.  

Hands-on practical's have been changed to online dissection demonstrations that are performed by experts and are very nicely recorded. This helps students to understand the taught subject matter and provide additional understanding when observing live dissection. This can be viewed multiple times and helps students when preparing for assessment.

10 credits in the Autumn Semester.

This module builds on the practical, analytical and communication skills acquired in the first year and introduces more advanced experiments across Inorganic, Organic and Physical chemistry (note – students choose 2 of the 3 from Inorganic, Organic and Physical Chemistry). Increasing use is made of spectroscopic and other analytical techniques in the characterisation of compounds. More detailed laboratory reports will be required.

Students will:
• Be able to perform a range of standard & more advanced synthetic and analytical practical procedures safely and reliably using Good Chemistry Laboratory Practice (GCLP).
• Know how to prepare Control of Substances Hazardous to Health (COSHH) and risk assessments.
• Be proficient in planning and organising time so that experiments are performed efficiently in the allocated time.
• Be competent in calculating amounts of reagents accurately.
• Be capable of accurately and precisely measuring reagents and preparing solutions.
• Be able to scientifically interpret results and observations and report your findings in a concise manner.

20 compulsory credits throughout the full year.

In this module students will gain knowledge and understanding of the importance of Main Group compounds across all branches of chemistry and materials science.

Education aims:
To survey the classical and new chemistry of the main group elements.
To use group theory as a tool in the analysis of vibrational spectra in inorganic chemistry.
To give a concise introduction to the organometallic chemistry of the transition metals.
To use multinuclear NMR spectroscopy as a tool for the characterisation of molecules.

10 compulsory credits throughout the full year.

Develop an understanding of modern spectroscopic techniques (NMR, IR, UV and mass spectrometry) for the characterisation of organic and biological molecules to the extent that students have an intuitive approach to problem solving and structural analysis.

Aspects of the stereochemistry of bio-organic molecules, including prochirality, molecular chirality and properties of non-racemic compounds, conformational analysis and aspects of stereocontrol in bio-organic reactions are developed.

10 credits in the Autumn semester.

The module is divided into two parts:

1. Functional group chemistry: synthetic transformations of alcohols, amines, carbonyls, and alkenes, and how these transformations are used to synthesise complex molecules such as natural products or pharmaceutical agents.

2. Synthesis: Introduction to retrosynthetic analysis and synthesis of organic molecules using a selection of pharmaceutical agents as examples. Formative feedback is given on the material in this module at the associated workshops. Summative feedback is provided after the exam by the module convenor.

10 credits in the Spring semester.

You’ll be introduced to the principles of analytical chemistry, including the principal types of instrumentation used and the statistical treatment of analytical results.

You’ll attend two lectures each week studying this module.

10 credits in the Autumn semester.

This module covers material related to developing a more sustainable approach to chemistry. You will learn what constitutes sustainable chemistry, the significance of new technologies such as synthetic biology, and recognise the problems in achieving sustainability.

10 credits in the Autumn semester.

Description under review.

10 credits in the Spring Semester.

This module builds on the practical, analytical and communication skills acquired in the first year and introduces more advanced experiments across Inorganic, Organic and Physical chemistry (note – students choose 2 of the 3 from Inorganic, Organic and Physical Chemistry). Increasing use is made of spectroscopic and other analytical techniques in the characterisation of compounds. More detailed laboratory reports will be required.

Students will:
• Be able to perform a range of standard & more advanced synthetic and analytical practical procedures safely and reliably using Good Chemistry Laboratory Practice (GCLP).
• Know how to prepare Control of Substances Hazardous to Health (COSHH) and risk assessments.
• Be proficient in planning and organising time so that experiments are performed efficiently in the allocated time.
• Be competent in calculating amounts of reagents accurately.
• Be capable of accurately and precisely measuring reagents and preparing solutions.
• Be able to scientifically interpret results and observations and report your findings in a concise manner.

20 compulsory credits throughout the full year.

In this module students will gain knowledge and understanding of the importance of Main Group compounds across all branches of chemistry and materials science.

Education aims:
To survey the classical and new chemistry of the main group elements.
To use group theory as a tool in the analysis of vibrational spectra in inorganic chemistry.
To give a concise introduction to the organometallic chemistry of the transition metals.
To use multinuclear NMR spectroscopy as a tool for the characterisation of molecules.

10 compulsory credits throughout the full year.

This module introduces and builds on theories that can predict and describe accurately the physical principles underlying chemical phenomena, with emphasis on energy, quantum mechanics, spectroscopy and the solid state.

The module includes a basic introduction to quantum mechanics in Chemistry and an introduction to a range of spectroscopies applied to diatomic molecules. It will be shown how these methods are used to find out and understand information about the structure and bonding in diatomic molecules. Methods for calculating thermodynamic properties of single-component and multi-component materials in different phases will be developed, and there will be an introduction to solid-state chemistry, including the structure, characterisation, energetics and simple band theory of solids.

20 compulsory credits throughout the full year.

You’ll be introduced to the principles of analytical chemistry, including the principal types of instrumentation used and the statistical treatment of analytical results.

You’ll attend two lectures each week studying this module.

10 credits in the Autumn semester.

This module covers material related to developing a more sustainable approach to chemistry. You will learn what constitutes sustainable chemistry, the significance of new technologies such as synthetic biology, and recognise the problems in achieving sustainability.

10 credits in the Autumn semester.

Description under review.

10 credits in the Spring Semester.

This course aims to give students a sound grounding in the application of both differential and integral calculus to vectors, and to apply vector calculus methods and separation of variables to the solution of partial differential equations. The module is an important pre-requisite for a wide range of other courses in Applied Mathematics.

10 credits in the Autumn Semester.

This course is an introduction to Fourier series and integral transforms and to methods of solving some standard ordinary and partial differential equations which occur in applied mathematics and mathematical physics.

The course describes the solution of ordinary differential equations using series and introduces Fourier series and Fourier and Laplace transforms, with applications to differential equations and signal analysis. Standard examples of partial differential equations are introduced and solution using separation of variables is discussed.

10 credits in the Spring Semester

The module covers introductory topics in statistics and probability that could be applied to data analysis in a broad range of subjects. Topics include probability distributions, parameter estimation, confidence intervals,hypothesis testing and an introduction to statistical modelling. Consideration is given to issues in applied statistics such as sample size calculations, the multiple comparison problem,data collection, design of experiments, critiquing and interpreting statistical reports and papers.

20 credits in the Autumn Semester.

This course aims to provide students with tools which enable them to develop and analyse linear and nonlinear mathematical models based on ordinary and partial differential equations. Furthermore, it aims to introduce students to the fundamental mathematical concepts required to model the flow of liquids and gases and to apply the resulting theory to model physical situations. 

20 credits throughout the full year.

This module introduces basic techniques in numerical methods and numerical analysis which can be used to generate approximate solutions to problems that may not be amenable to analysis.

Specific topics include:

• Implementing algorithms in Matlab
• Discussion of errors (including rounding errors)
• Iterative methods for nonlinear equations (simple iteration, bisection, Newton, convergence)
• Gaussian elimination, matrix factorisation, and pivoting
• Iterative methods for linear systems, matrix norms, convergence, Jacobi, Gauss-Siedel
• Interpolation (Lagrange polynomials, orthogonal polynomials, splines)
• Numerical differentiation & integration (Difference formulae, Richardson extrapolation, simple and composite quadrature rules)
• Introduction to numerical ODEs (Euler and Runge-Kutta methods, consistency, stability) 

20 credits throughout the full year.

Examine the molecular causes of the ageing and malignant transformations of somatic cells that are observed during a single lifespan, and gain an understanding of the necessity to maintain the genome intact from one generation to the next. Around three hours per week will be spent within lectures studying this module.

10 credits in the Spring Semester.

Examines the mechanisms through which eukaryotic genes are expressed and regulated, with emphasis placed on recent research on transcriptional control in yeast and post-transcriptional control in eukaryotes. Studying this module will include having three hours of lectures per week.

10 compulsory credits in the Spring Semester.

This course, taught by 5 lecturers will give students an in depth understanding of the genetics, evolution and biochemistry behind the pathogenic properties of parasites and micro-organisms that cause major human disease in the present day. We will concentrate mainly on microbial aspects with one week on the genetics of human susceptibility. Students will learn about the specialised features of parasites and micro-organisms that make them pathogenic, how the genes encoding these features are regulated, and how biological, genetic and chemical tools can be used to develop preventative and curative treatments (two weeks). Model organisms to be studied include the agents of malaria (two weeks), leishmania (one week), candidiasis (one week), aspergillosis (one week), Salmonella, Escherichia and Shigella dysenteries (one week), and tuberculosis (one week). Students will also take part in a group-learning activity to produce a poster on an emerging or persistent pathogen explaining the molecular biology of its virulence. They will learn to use a questioning approach to gain an understanding of microbiological processes in the literature and how to present a scientific poster at a conference by presenting their group's work for peer and staff judging at a poster conference for 35% of the module mark.

10 credits in the Autumn Semester.

Considers ion channels at the molecular level, with topics including the structure and function of different ion channel groups and their modulation by drugs, pesticides and natural toxins. You will also consider the synthesis and transport of neurotransmitters and the formation and release of synaptic vesicles. This module involves one three hour session per week incorporating eight lectures and two practical sessions.

10 credits in the Autumn Semester.

Examine a selection of acquired and inherited cancers, and develop an understanding of the role of the genes involved and how they can be analysed. To study for this module you will have a two- or three-hour lecture once per week.

10 credits in the Spring Semester.

Approximately one week will be spent on each of the following topics:

• Natural selection and the causes of evolution
• The genetic basis of variation and its maintenance
• Evolutionary stable strategies
• Evolution of life histories
• Competition and evolution
• Coevolution of predators and prey
• Coevolution of hosts and parasites
• Coevolution of mutualists
• Ecology and the origin of species
• Genomics in evolutionary ecology

10 compulsory credits in the Autumn Semester.

20 compulsory credits in the Spring Semester.

The module examines how we can use DNA and protein sequences to investigate evolutionary relationships among organisms.

The subject matter includes the alignment of DNA and protein sequences, the way in which DNA and protein sequences evolve and how these processes can be modeled, the construction of evolutionary trees (phylogenies) to determine relationships among organisms, and the use of molecular clocks to place evolutionary events within a timeframe.

The course provides numerous examples of the uses of molecular sequence data in evolutionary studies, highlighting the way in which sequence data are revolutionising our understanding of the living world and shows how understanding molecular evolution to produce accurate trees is crucial to understanding evolutionary mechanisms.

In depth examples include the uses of molecular data to resolve the deep-level relationships in the ‘tree of life’ (relationships among the three domains of life), the origins of mitochondria and chloroplasts, and the application of molecular data to study relationships in the Mammalia and in particular the Cetacea.

The use of molecular data in understanding phylogeography is also discussed, with particular emphasis on the recolonisation of Europe following the retreat of the ice at the end of the last glacial period. We also discuss the uses of genomic data to examine evolution.

10 credits in the Autumn Semester.

Scientific discoveries are not isolated from the society within which they exist. This module will explore the interactions between science and society through a series of lectures, discussion groups and workshops.

Topics that will be explored include the ethical parameters that govern how scientific work is constrained, ways in which scientific discoveries can/should be disseminated to the wider community, the wider responsibilities that follow the acquisition of new knowledge and the concept of 'citizen science', where science takes place outside the traditional academic centres of work.

10 credits in the Spring Semester.

To teach advanced experimental techniques in chemistry. To provide experience in the recording, analysis and reporting of physical data. To put into practice methods of accessing, assessing and critically appraising chemical literature. Following initial workshops there will be a focused literature review culminating in a mini research project. Experience in:

• Experimental design and methodology
• Using advanced experimental techniques in chemistry
• The recording, analysis and reporting of physical data
• The reporting of experimental results in journal style
• Team working

10 compulsory credits throughout the full year.

On this module, students will learn:

• To consolidate and develop concepts of organic reactivity and mechanism, primarily using qualitative frontier molecular orbital theory
  
  
• To illustrate and rationalise molecular rearrangements in organic chemistry
  
  
• To give an appreciation of the generation and use of reactive intermediates in organic chemistry

10 credits in the spring semester.

This module increases the student's knowledge and understanding of 
(a) heterogeneous and homogeneous catalysis 
(b) catalyst promotion and the concept of catalytic cycles.

The physical basis of the structure-property relationships of heterogeneous catalysts is explained and the link between various organo-transition metal complexes and homogenous catalysis is explored. Comparisons between homogeneous and heterogeneous catalysis are highlighted. A review of the 18- and 16- electron rules and fundamental metal-centred bond-forming and bond-breaking reactions is undertaken and applied to several catalytic cycles. The influence of catalyst design in homogeneous catalysts, with respect to choice of metal ion and ligands, is discussed relating to product selectivity, in particular chirality. A qualitative appreciation of scale up for industrial application.

10 optional credits in the Spring semester.

This module covers Inorganic Mechanisms and the overarching fundamental principles of Greener and Sustainable Chemistry as applied to processes.

Topics covered for Inorganic Reaction Mechanisms include classification of the types of substitution reactions found in coordination and organometallic chemistry; explanation of how spectroscopic methods can be used to detect organometallic reaction intermediates.

Topics in-scope for discussion on the theme of Greener and Sustainable Chemistry include:

• the principles of green chemistry
• scale-up in the chemicals industry with case studies
• cleaner polymerisation
• clean extraction
• oxidation processes including supercritical water

10 credits in the spring semester.

On this module, students should gain a good appreciation of the applications for a range of enzymological, chemical and molecular biological techniques to probe cellular processes and catalysis at the forefront in Chemical Biology research.

This module represents a culmination of principles and techniques from a biophysical, molecular, biochemical and genetic perspective.

10 optional credits in the Autumn semester.

This module will develop an understanding of protein structure, stability, design and methods of structural analysis. In addition you will understand the protein folding problem and experimental approaches to the analysis of protein folding kinetics and the application of site-directed mutagenesis.

You will also be expected to develop a number of spectroscopic experimental techniques to probe protein structures.

There will be two hours of lectures a week.

10 credits in the Autumn semester.

Description under review.

10 credits throughout the full year.

This module consists of some preparatory work early in Semester 1, followed by a single session of 5 weeks duration in which time is spent in schools in Semester 2, followed by an assessment period in Semester 2.

1. Students will spend 6-8 hours per week in the classroom over a period of around five weeks working with one teacher but probably a range of different classes.

2. Before entering the classroom, the student will receive training and in-depth materials to focus learning and to prepare for working in a school.

3. The students will be required keep a journal of what is done, write a reflective review of the placement, provide a

This is a classroom-based module for learning key skills including communication, presentation, team-working, active listening, time management and prioritisation. Increased transferable skills which will enhance employability and confidence. Provision of classroom experience if considering teaching as a potential career.

10 compulsory credits throughout the full year.

To teach advanced experimental techniques in chemistry. To provide experience in the recording, analysis and reporting of physical data. To put into practice methods of accessing, assessing and critically appraising chemical literature. Following initial workshops there will be a focused literature review culminating in a mini research project. Experience in:

• Experimental design and methodology
• Using advanced experimental techniques in chemistry
• The recording, analysis and reporting of physical data
• The reporting of experimental results in journal style
• Team working

10 compulsory credits throughout the full year.

This module aims to:

• provide a fundamental understanding of molecular structure and of the requirements for reactivity
• introduce modern electronic structure theory and demonstrate how it can be applied to determine properties such as molecular structure, spectroscopy and reactivity.

At the end of the module, a student should be able to:
1. Understand the information contained in a simple potential energy contour plot
2. Appreciate the origin of the normal mode separation and the reasons for its breakdown
3. Appreciate the origin of the Born-Oppenheimer approximation and the reasons for its breakdown
4. Appreciate the role of symmetry in spectroscopic selection rules
5. Perform simple calculations of partition functions
6. Appreciate the concepts underlying RRK and Transition State theories and how they overcome limitations in simple collision theory
7. Describe and understand different electronic structure methods including Hartree-Fock theory and density functional theory
8. Understand the electron correlation problem
9. Appreciate the strengths and weaknesses of different electronic structure methods
10. Understand how theoretical methods can be used to model chemical reactions and spectroscopy.

10 optional credits in the Autumn semester.

This module increases the student's knowledge and understanding of 
(a) heterogeneous and homogeneous catalysis 
(b) catalyst promotion and the concept of catalytic cycles.

The physical basis of the structure-property relationships of heterogeneous catalysts is explained and the link between various organo-transition metal complexes and homogenous catalysis is explored. Comparisons between homogeneous and heterogeneous catalysis are highlighted. A review of the 18- and 16- electron rules and fundamental metal-centred bond-forming and bond-breaking reactions is undertaken and applied to several catalytic cycles. The influence of catalyst design in homogeneous catalysts, with respect to choice of metal ion and ligands, is discussed relating to product selectivity, in particular chirality. A qualitative appreciation of scale up for industrial application.

10 optional credits in the Spring semester.

This module covers Inorganic Mechanisms and the overarching fundamental principles of Greener and Sustainable Chemistry as applied to processes.

Topics covered for Inorganic Reaction Mechanisms include classification of the types of substitution reactions found in coordination and organometallic chemistry; explanation of how spectroscopic methods can be used to detect organometallic reaction intermediates.

Topics in-scope for discussion on the theme of Greener and Sustainable Chemistry include:

• the principles of green chemistry
• scale-up in the chemicals industry with case studies
• cleaner polymerisation
• clean extraction
• oxidation processes including supercritical water

10 credits in the spring semester.

This module consists of some preparatory work early in Semester 1, followed by a single session of 5 weeks duration in which time is spent in schools in Semester 2, followed by an assessment period in Semester 2.

1. Students will spend 6-8 hours per week in the classroom over a period of around five weeks working with one teacher but probably a range of different classes.

2. Before entering the classroom, the student will receive training and in-depth materials to focus learning and to prepare for working in a school.

3. The students will be required keep a journal of what is done, write a reflective review of the placement, provide a

This is a classroom-based module for learning key skills including communication, presentation, team-working, active listening, time management and prioritisation. Increased transferable skills which will enhance employability and confidence. Provision of classroom experience if considering teaching as a potential career.

10 compulsory credits throughout the full year.

Various structure determination methods will be presented, covering a selection of spectroscopic and scattering methods. Advanced light and neutron sources will be introduced, moving on to their use in determining the structures of both isolated molecules and of solids (both crystalline and amorphous) and liquids.

10 credits in the Spring semester.

In this module a variety of techniques and areas of mathematical optimisation will be covered including Lagrangian methods for optimisation, simplex algorithm linear programming and dynamic programming. You’ll develop techniques for application which can be used outside the mathematical arena. 

20 credits in the Autumn Semester.

Mathematics can be usefully applied to a wide range of applications in medicine and biology. Without assuming any prior biological knowledge, this course describes how mathematics helps us understand topics such as population dynamics, biological oscillations, pattern formation and nonlinear growth phenomena. There is considerable emphasis on model building and development.

20 credits in the Autumn Semester.

This course provides an introduction to coding theory in particular to error-correcting codes and their uses and applications. It also provides an introduction to to cryptography, including classical mono and polyalphabetic ciphers as well as modern public key cryptography and digital signatures, their uses and applications.

10 credits in the Autumn Semester.

Game theory contains many branches of mathematics (and computing); the emphasis here is primarily algorithmic. The module starts with an investigation into normal-form games, including strategic dominance, Nash equilibria, and the Prisoner’s Dilemma. We look at tree-searching, including alpha-beta pruning, the ‘killer’ heuristic and its relatives. It then turns to mathematical theory of games; exploring the connection between numbers and games, including Sprague-Grundy theory and the reduction of impartial games to Nim.

10 credits in the Spring Semester.

This course aims to extend previous knowledge of fluid flow by introducing the concept of viscosity and studying the fundamental governing equations for the motion of liquids and gases. Methods for solution of these equations are introduced, including exact solutions and approximate solutions valid for thin layers. A further aim is to apply the theory to model fluid dynamical problems of physical relevance.

20 credits in the Spring Semester.

Differential equations play a crucial modelling role in many applications, such as fluid dynamics, electromagnetism, biomedicine, astrophysics and financial modelling. Typically, the equations under consideration are so complicated that their solution may not be determined by purely analytical techniques; instead one has to resort to computing numerical approximations to the unknown analytical solution. In this module we study numerical techniques for approximating data, ordinary and partial differential equations, and solving, or finding eigenvalues and eigenvectors of, the large linear systems of equations that result from these approximations. The module covers:

• Initial value problems (ODEs): multistage and multistep methods; convergence and stability; higher order ODEs; systems of first order ODEs; implicit methods
• Partial differential equations: finite differences for elliptic, parabolic and hyperbolic PDEs; truncation error and stability analysis; finite volume methods
• Approximation theory: least squares approximation; trigonometric polynomial approximation
• Eigenvalues and eigenvectors: power method; inverse iteration; Householder transformations; QR algorithm; singular value decomposition
• Large linear systems: Krylov subspace methods; conjugate gradient method; preconditioning

20 credits in the Spring Semester.

The project involves an extensive piece of detailed research on the topic chosen after discussion with the supervisor. The practical component will involve collection of data from a laboratory or field investigation and appropriate analysis. The findings will be interpreted in the context of previous work, and written-up in a clear and concise final report in the form of a research paper manuscript or end-of-grant report. The main findings will also be delivered in an assessed oral presentation and discussed with two assessors in a viva voce.

60 compulsory credits throughout the full year.

20 compulsory credits throughout the full year.

20 compulsory credits throughout the full year.

10 credits in the Autumn Semester.

10 credits in the Autumn Semester.

10 credits in the Autumn Semester.

You will be welcomed into one of the research groups within the School of Chemistry to undertake an in-depth research project.

All projects will involve a review of relevant published work and the planning and execution of a research topic under the guidance of two supervisors. Students will present their findings orally and in a written report.

60 compulsory credits throughout the full year.

Students will learn about the factors that lead to successful commercial innovation and how to take a technical idea and convert it into a successful commercial venture. They are shown routes to market for innovative ideas available from an academic/industrial viewpoint Assessment in SEM 1 will be via group exercise and presentation; teams have 3 weeks to develop the business case for a new innovation as a Dragon’s Den Style Pitch which is given in late November.

Students will also learn about different types of business and how they contribute to the global economy. Some of the basic business skills will be covered (selling, marketing, customer awareness and finance) as well as the aspects which drive innovation and success.

We also give students an understanding of intellectual property, how it is used to create value in the business context. Aspects of IP law are highlighted with reference to different types of IPR including patents, trademarks, copyright, design rights and trade secrets including their everyday application within chemistry using industries.

This course demonstrates utilisation of this IP to give a company a competitive advantage within their market place.

At the end of the course students participate in a one day business exercise led by professionals from a chemicals company that tests all of the above skills in an interesting and realistic approach to commercial problem solving.

10 optional credits throughout the full year.

Building on your knowledge from the previous years' modules in inorganic chemistry, you’ll study topics including:

• electron transfer pathways
• inorganic chemistry in biological systems
• the principles of molecular and supramolecular photochemistry
• applications of inorganic photochemistry
• photocatalysis

You’ll attend two lectures each week in this module. 

10 optional credits in the Autumn semester.

Explore the synthesis of a variety of natural (and unnatural) compounds of relevance to biology and medicine, with reference to the goals and achievements of contemporary organic synthesis through a range of case studies. There is an emphasis on the use of modern synthetic methodology to address problems such as chemoselectivity, regiocontrol, stereoselectivity, atom economy and sustainability.

You will also study the application of new methodology for the rapid, efficient and highly selective construction of a range of target compounds - particularly those that display significant biological activity. There will also be an opportunity to address how a greater understanding of mechanism is important in modern organic chemistry. This module is assessed by a two hour exam.

10 optional credits in the Autumn semster.

In this module you will explore inorganic photochemistry, electron transport pathways, molecular and supramolecular photochemistry, and artificial photosynthesis together with the principles that underpin green chemistry.

You will attend two lectures per week in this module.

10 optional credits in the Autumn semester.

This module focuses on Inorganic Photochemistry, Molecular Machines and the applications of photochemistry tochemical manufacture. 

10 optional credits in the Autumn semester.

Advanced Chemical Biology:

To introduce concepts of chemical genetics and including activity-based protein profiling, non-natural amino acid incorporation, bio-orthogonal reactivity and the use of bump-and-hole strategies, applied to various challenges such as finding kinase/target pairs.

Biocatalysis

To introduce enzyme engineering and the synthetic utility of designer biocatalysts, especially highlighting chemo-enzymatic approaches toward chiral commodity molecules (e.g. pharmaceuticals) and their precursors.

Biosynthesis

To introduce the biosynthetic pathways and enzyme catalysed reactions leading natural products polyketides, terpenes, fatty acids and non-ribosomal peptides.

10 optional credits in the Spring semster.

Building on your knowledge from the previous years' modules in inorganic chemistry, you’ll study topics including:

• electron transfer pathways
• inorganic chemistry in biological systems
• the principles of molecular and supramolecular photochemistry
• applications of inorganic photochemistry
• photocatalysis

You’ll attend two lectures each week in this module. 

10 optional credits in the Spring semester.

This module consists of two separately taught topics in advanced organic chemistry: Medicines from Nature (Dr Francesca Paridisi ) and Pharmaceutical Process Chemistry (Dr Andrew Nortcliffe).

Medicines from Nature

To provide an appreciation of the importance of natural products from plants, micro-organisms and marine life in providing leads for today’s drugs and medicines in the fight against cancer, blood pressure, pain, inflammation, bacterial infection, AIDS, Alzheimer’s, Parkinson’s and other diseases. How the discovery of biological activity in a natural product can be turned into a useful medicine. The topic will include descriptions of the biosynthesis and total synthesis of natural products.

Pharmaceutical Process Chemistry

This topic explores the role of the chemist in developing a viable commercial synthesis of medicines starting from a small scale. After a description of the place process chemistry takes within drug discovery as a whole, the topic will cover the following: Selection of chemical routes to medicines and assessment of their worth; Safety; Reagent selection; synthesis of chirally pure compounds; How reactions and reaction workups may be optimised.

10 optional credits in the Spring semester.

In this module you will learn about the importance of intermolecular forces, across a wide cross-section of subject areas from biology through to supramolecular chemical systems.

You will study molecular organisation, assembly and recognition in biological and supramolecular systems.

In addition to appreciating the rich chemistry underlying self-assembling systems, you'll learn about the phenomena that impact on the properties of materials and important interactions in biology. 

10 optional credits in the Spring semester.

During this module you will learn to understand in depth the structure, chemistry and molecular recognition of nucleic acids and their reactivity towards mutagens, carcinogens and ionising radiation and anti-tumour drugs. You will appreciate the plasticity and dynamics of the DNA duple helix through base motions that underpin its function.

The bacterial replisome will be used as the prime example to highlight the problems associated with DNA replication and the significance of telomeres will be discussed. Alongside this you will develop an understanding of the chemical reactivity of coenzymes and how these add significantly to the functionality of the 20 amino acids found in proteins. 

10 optional credits in the Spring semester.

This module consists of a self-directed investigation of a project selected from a list of projects or, subject to prior approval of the School, from elsewhere.

The project will be supervised by a member of staff and will be based on a substantial mathematical problem, an application of mathematics or investigation of an area of mathematics not previously studied by the student. The course includes training in the use of IT resources, the word-processing of mathematics and report writing.

40 compulsory credits throughout the year

The development of techniques for the study of nonlinear differential equations is a major worldwide research activity to which members of the School have made important contributions. This course will cover a number of state-of-the-art methods, namely:

• use of green function methods in the solution of linear partial differential equations
• characteristic methods, classification and regularization of nonlinear partial differentiation equations
• bifurcation theory

These will be illustrated by applications in the biological and physical sciences.

20 credits in the Autumn Semester

The course introduces notions of topology and differential geometry which are required for modern research in relativity and other topics involving geometry. The course will be illustrated with a body of concrete geometrical examples drawn from general relativity. The modern study of general relativity requires familiarity with a number of tools of differential geometry, including manifolds, symmetries, Lie Groups, differentiation and integration on manifolds. These are introduced using examples of curved space-times whose context is familiar from the study of general relativity, the presentation of geometric concepts will be significantly more abstract and powerful than in Relativity MATH3018

20 credits in the Autumn Semester

The first part of the module introduces no-arbitrage pricing principle and financial instruments such as forward and futures contracts, bonds and swaps, and options. The second part of the module considers the pricing and hedging of options and discrete-time discrete-space stochastic processes. The final part of the module focuses on the Black-Scholes formula for pricing European options and also introduces the Wiener process. Ito integrals and stochastic differential equations.

20 credits in the Autumn Semester

The purpose of this course is to introduce concepts of scientific programming using the object oriented language C++ for applications arising in the mathematical modelling of physical processes. Students taking this module will develop knowledge and understanding of a variety or relevant numerical techniques and how to efficiently implement them in C++.

20 credits in the Autumn Semester

General relativity predicts the existence of black holes which are regions of space-time into which objects can be sent but from which no classical objects can escape. This course uses techniques learnt in MATH4015 to systematically study black holes and their properties, including horizons and singularities. Astrophysical processes involving black holes are discussed, and there is a brief introduction to black hole radiation discovered by Hawking.

This course aims to introduce the physics of black holes and its mathematical description, giving insight into problems of research interest. It provides an opportunity to apply techniques and ideas learned in previous modules to important astrophysical problems. Students will acquire knowledge and skills to a level sufficient to begin research in general relativity.

20 credits in the Spring Semester

This module illustrates the applications of advanced techniques of mathematical modelling using ordinary and partial differential equations. A variety of medical and biological topics are treated bringing students close to active fields of mathematical research.

20 credits in the Spring Semester

This module will provide a general introduction to the analysis of data that arise sequentially in time. You will discuss several commonly-occurring models, including methods for model identification for real-time series data. You will develop techniques for estimating the parameters of a model, assessing its fit and forecasting future values. You will gain experience of using a statistical package and interpreting its output.

20 credits in the Spring Semester

This course introduces computational methods for solving problems in applied mathematics. Students taking this course will develop knowledge and understanding to design, justify and implement relevant computational techniques and methodologies.

20 credits in the Spring Semester