BSc Mathematics (with Education)


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Degree of Bachelor of Science



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“TEACHING ALLOWS ME TO CONTINUE TO PRACTISE AND ENJOY MY SUBJECT, WHILST DEVELOPING MY COMMUNICATION, LEADERSHIP AND MANAGEMENT SKILLS.”

In their words

Steven Phaup, PGCE Secondary Graduate

Our integrated BSc Mathematics with Education will help you gain the knowledge and experience you’ll need to pursue a career in education, while also developing your mathematical knowledge and research skills.

Your studies will be split between our School of Mathematics and our School of Education and Lifelong Learning.

You’ll have the flexibility to combine modules from statistics, pure and applied mathematics with modules covering the learning and teaching of mathematics, as well as subjects from wider fields of education research. You’ll also benefit from extra Education seminars, workshops and placements, and you’ll graduate ready to progress onto our PGCE Primary or Secondary Teacher Training programmes. Should you wish to change paths, our course will also open doors to other careers, such as science communication.

Overview

Our BSc Mathematics with Education programme will allow you to develop your interests across mathematics, while also focusing on teaching, learning and education.

Mathematics has been proven useful in just about every field of human endeavour. It is used in science and exploration, in business and government, in industry and forecasting, in art and in banking. Our expert academics are enthusiastic and knowledgeable, guiding students through this rapidly developing subject. Active researchers, they conduct world-leading work and incorporate it into their teaching. In fact, over 87% of our mathematical sciences research outputs were judged as internationally excellent or world-leading (REF 2014), so you can be sure you’ll be learning in the most up-to-date of environments.

Our Mathematics with Education course will give you the flexibility to combine modules on statistics, pure and applied mathematics with modules that look at the learning and teaching of mathematics, as well as the wider field of education research. The programme will provide you with an outstanding foundation, should you wish to progress onto our PGCE Primary or Secondary Teacher Training programmes.

We pride ourselves on the personal attention our students receive, keeping seminar groups small and ensuring the relationships between staff and students are really strong. And you’ll be assigned an academic advisor; a lecturer who’ll help and guide you throughout your degree. You’ll get to know them well and, just as importantly, they’ll get to know you.

Course Structure

You’ll begin your degree by developing your existing mathematical knowledge, before moving onto more advanced subjects as the course progresses.

In years two and three you’ll be able to focus your studies through our optional modules, which means you can tailor your degree programme around your particular interests. Some optional modules – in subjects including statistics – are available each year.

Year 1

The first year will develop your skills in calculus and other topics you may have covered at A-level, such as mechanics and probability. Modules on computation, mathematical skills and how to present mathematical arguments will encourage you to develop ways of tackling unfamiliar problems. And modules on algebra and analysis will introduce important new concepts and ideas, which you will use in following years.

Year 2

Your second year will feature a combination of compulsory and optional modules. The compulsory modules will introduce you to exciting applications of mathematics, such as fluid flow and aerodynamics, while developing your understanding of the theories that underpin modern mathematics. You’ll also complete ‘Education in Action’, a compulsory module in which you’ll undertake a placement in a local school.

In addition to the optional mathematics modules that you’ll be offered, you’ll have the opportunity to take modules lectured within other Schools at UEA. Recent popular choices have included programming and educational psychology.

Year 3

In your final year you’ll be able to choose from a range of modules covering topics in pure mathematics, applied mathematics, and statistics, as well as a module on the history of mathematics. Optional education modules will focus on the learning and teaching of mathematics, and science communication.

You’ll also complete an independent project on an aspect of education research that particularly interests you.

Teaching and Learning

You will be taught by leading mathematicians in their fields of expertise. As well as teaching, our academics are actively involved in research collaborations with colleagues throughout the world, examples from which will be used to illustrate lectures and workshops. New material will usually be delivered through lectures, which are complemented by online notes and workshops, where you’ll focus on working through examples, either individually or in small groups, under the guidance of lecturers and mathematical teaching assistants.

In your first year you’ll have around 16 or 17 hours of timetabled classes per week, comprised of approximately eleven hours of lectures, five or six hours of workshops or computer lab classes, and one tutorial.

In tutorial groups you’ll be working with your academic advisor and the same six or seven students each week. It’s great way to get to know your fellow students and your academic advisor, who will be there to guide you throughout your degree.

Contact hours are similar in your second year, but with a greater emphasis on workshops, because the best way to truly understand complex mathematical theories is to work through examples with the guidance and support of your lecturers.

In your final year your formal contact hours will be slightly reduced as you gain more independence, but there will be increased emphasis on using the office hours of your lecturers for individual feedback and guidance.

Individual Study

To succeed at university-level mathematics, you need to spend at least as much time on individual study as you spend in classes and workshops. Working through your lecture notes and trying the exercises set will be vital to really understanding the mathematics.

We offer a wide range of feedback to our students. Each lecturer has at least two office hours available each week, giving you the chance to discuss the material in more detail or to get face-to-face feedback on exercises you’ve attempted.

Prior to undertaking formal coursework (which will contribute to your module mark), you’ll submit answers to questions based on similar material for comments from the lecturer. The feedback you receive will then help with your coursework.

Your independent study will be best exemplified by your final year Education research project.

Assessment

We employ a variety of assessment methods; the method we use is determined by the module in question. They range from 100% coursework to 100% examination, with most Mathematics modules combining 80% examination and 20% coursework.

The coursework component will be made up of problems set from an example sheet, which will be handed in, marked and returned, together with the solutions. For some modules there are also programming assignments and/or class tests.

After the course

You’ll graduate prepared to study for a PGCE qualification or for teacher training through routes such as School-centred initial teacher training (SCITT). If you were to opt for a change of direction, however, you’ll also be well prepared for a career in science communication and maths.

Career destinations

Example of careers that you could enter include:

  • Teaching
  • Science communication
  • Publishing
  • Journalism
  • Research scientist
  • Management training

Course related costs

In addition to the standard fees, you’ll be expected to cover the costs of travel to and from your work placement as part of the ‘Education in Action’ module. You will also need to pay for and complete a DBS check prior to commencing the course.

Please see Additional Course Fees for details of other course-related costs.

Course Modules 2019/0

Students must study the following modules for 120 credits:

Name Code Credits

ALGEBRA 1

Algebra plays a key role in pure mathematics and its applications. We will provide you with a thorough introduction and develop this theory from first principles. In the first semester, you consider linear algebra and in the second semester, you move on to group theory. In the first semester, you develop the theory of matrices, mainly (though not exclusively) over the real numbers. The material covers matrix operations, linear equations, determinants, eigenvalues and eigenvectors, diagonalization and geometric aspects. You conclude with the definition of abstract vector spaces. At the heart of group theory in Semester 2 is the study of symmetry and the axiomatic development of the theory. The basic concepts are subgroups, Lagrange's theorem, factor groups, group actions and the Isomorphism Theorem.

MTHA4006Y

20

CALCULUS AND MULTIVARIABLE CALCULUS

In this module, you will explore: (a) Complex numbers. (b) Vectors. (c) Differentiation; power series. (d) Integration: applications, curve sketching, area, arc-length. (e) First and second-order, constant-coefficient ordinary differential equations. Reduction of order. Numerical solutions using MAPLE. Partial derivatives, chain rule. (f) Line integrals. Multiple integrals, including change of coordinates by Jacobians. Green's Theorem in the plane.

MTHA4008Y

30

COMPUTATION AND MODELLING

Computation and modelling are essential skills for the modern mathematician. While many applied problems are amenable to analytic methods, many require some numerical computation to complete the solution. The synthesis of these two approaches can provide deep insight into highly complex mathematical ideas. This module will introduce you to the art of mathematical modelling, and train you in the computer programming skills needed to perform numerical computations. A particular focus is classical mechanics, which describes the motion of solid bodies. Central to this is Newton's second law of motion, which states that a mass will accelerate at a rate proportional to the force imposed upon it. This leads to an ordinary differential equation to be solved for the velocity and position of the mass. In the simplest cases the solution can be constructed using analytical methods, but in more complex situations, for example motion under resistance, numerical methods may be required. Iterative methods for solving nonlinear algebraic equations are fundamental and will also be studied. Further examples drawn from pure mathematics and statistics demonstrate the power of modern computational techniques.

MTHA4007Y

20

MATHEMATICAL SKILLS

The module provides you with a thorough introduction to some systems of numbers commonly found in Mathematics: natural numbers, integers, rational numbers, modular arithmetic. It also introduces you to common set theoretic notation and terminology and a precise language in which to talk about functions. There is emphasis on precise definitions of concepts and careful proofs of results. Styles of mathematical proofs you will discuss include: proof by induction, direct proofs, proof by contradiction, contrapositive statements, equivalent statements and the role of examples and counterexamples. In addition, this unit will also provide you with an introduction to producing mathematical documents using Latex, and an introduction to solving mathematical problems computationally using both Symbolic Algebra packages and Excel.

MTHA4001A

20

PROBABILITY

Probability is the study of the chance of events occurring. It has important applications to understand the likelihood of multiple events happening together and therefore to rational decision-making. This module will give you an introduction to the modern theory of probability developed from the seminal works of the Russian mathematician A.N. Kolmogorov in 1930s. Kolmogorov's axiomatic theory describes the outcomes (events) of a random experiment as mathematical sets. Using set theory language you will be introduced to the concept of random variables, and consider different examples of discrete random variables (like binomial, geometric and Poisson random variables) and continuous random variables (like the normal random variable). In the last part of the module you will explore two applications of probability: reliability theory and Markov chains. Aside of the standard lectures and workshop sessions, there will be two computer-lab sessions of (2 hours each) where you will apply probability theory to specific everyday life case studies. The only pre-requisites for this module are a basic knowledge of set theory and of calculus that you would have acquired during the Autumn semester. If you have done probability or statistic at A-level you will rediscover its contents now taught using a proper and more elegant mathematical formalism.

MTHA4001B

10

REAL ANALYSIS

You will explore the mathematical notion of a limit and see the precise definition of the limit of a sequence of real numbers and learn how to prove that a sequence converges to a limit. After studying limits of infinite sequences, you move on to series, which capture the notion of an infinite sum. You will then learn about limits of functions and continuity. Finally, you will learn precise definitions of differentiation and integration and see the Fundamental Theorem of Calculus.

MTHA4003Y

20

Students must study the following modules for 100 credits:

Name Code Credits

ALGEBRA

We introduce groups and rings. Together with vector spaces these are the most important structures in modern algebra. At the heart of group theory in Semester I is the study of symmetry and the axiomatic development of the theory. Groups appear in many parts of mathematics. The basic concepts are subgroups, Lagrange's theorem, factor groups, group actions and the First Isomorphism Theorem. In Semester II we introduce rings, using the Integers as a model and develop the theory with many examples related to familiar concepts such as substitution and factorisation. Important examples of commutative rings are fields, domains, polynomial rings and their quotients.

MTHA5003Y

20

ANALYSIS

This module covers the standard basic theory of the complex plane. The areas covered in the first semester, (a), and the second semester, (b), are roughly the following: (a) Continuity, power series and how they represent functions for both real and complex variables, differentiation, holomorphic functions, Cauchy-Riemann equations, Moebius transformations. (b) Topology of the complex plane, complex integration, Cauchy and Laurent theorems, residue calculus.

MTHA5001Y

20

DIFFERENTIAL EQUATIONS AND APPLIED METHODS

(a) Ordinary Differential Equations: solution by reduction of order; variation of parameters for inhomogeneous problems; series solution and the method of Frobenius. Legendre's and Bessel's equations: Legendre polynomials, Bessel functions and their recurrence relations; Fourier series; Partial differential equations (PDEs): heat equation, wave equation, Laplace's equation; solution by separation of variables. (b) Method of characteristics for hyperbolic equations; the characteristic equations; Fourier transform and its use in solving linear PDEs; (c) Dynamical Systems: equilibrium points and their stability; the phase plane; theory and applications.

MTHA5004Y

20

EDUCATION IN ACTION

You will learn about the fundamentals of teaching and learning by working with young people and their teachers within a school placement. This is an exciting and highly interactive module that will be centred in either a primary school or secondary school, to suit your interests. You will have the opportunity to develop a broad range of transferable skills, particularly useful for those considering initial teacher training in the future.

EDU-5002A

20

FLUID DYNAMICS - THEORY AND COMPUTATION

This module introduces some of the fundamental physical concepts and mathematical theory needed to analyse the motion of a fluid, with the focus predominantly on inviscid, incompressible motions. You will examine methods for visualising flow fields, including the use of particle paths and streamlines. You will study the dynamical theory of fluid flow, taking Newton's laws of motion as its point of departure, and will discuss the fundamental set of equations comprising conservation of mass and Euler's equations. The reduction to Laplace's equation for irrotational flow is demonstrated, and Bernoulli's equation is derived as a first integral of the equation of motion. Having established the basic theory, the way is set for a broader discussion of flow dynamics.

MTHA5002Y

20

Students will select 20 credits from the following modules:

Name Code Credits

EDUCATIONAL PSYCHOLOGY

This module will provide you with an introduction to key areas of psychology with a focus on learning and teaching in education. By the end of the module you should be able to: - Discuss the role of perception, attention and memory in learning; - Compare and contrast key theories related to learning, intelligence, language, thinking and reasoning; - Critically reflect on key theories related to learning,intelligence, language, thinking and reasoning in the practical context; - Discuss the influence of key intrapersonal, interpersonal and situational factors on pupils learning and engagement in educational settings.

EDUB5012A

20

INTRODUCTION TO QUANTUM MECHANICS AND SPECIAL RELATIVITY

This module introduces you to quantum mechanics and special relativity. In quantum mechanics focus will be on: 1. Studying systems involving very short length scales - eg structure of atoms. 2. Understanding why the ideas of classical mechanics fail to describe physical effects when sub-atomic particles are involved. 3. Deriving and solving the Schrodinger equation. 4. Understanding the probabilistic interpretation of the Schrodinger equation. 5. Understanding how this equation implies that certain physical quantities such as energy do not vary continuously, but can only take on discrete values. The energy levels are said to be quantized. For special relativity, the general concept of space and time drastically changes for an observer moving at speeds close to the speed of light: for example time undergoes a dilation and space a contraction. These counterintuitive phenomena are however direct consequences of physical laws. The module will also explain the basis of Special Relativity using simple mathematics and physical intuition. Important well-known topics like inertial and non-inertial frames, the Lorentz transformations, the concept of simultaneity, time dilation and Lorentz contraction, mass and energy relation will be explained. You will end with the implications of special relativity and quantum mechanics on a relativistic theory of quantum mechanics.

MTHF5030Y

20

MATHEMATICAL STATISTICS

It introduces the essential concepts of mathematical statistics deriving the necessary distribution theory as required. In consequence in addition to ideas of sampling and central limit theorem, it will cover estimation methods and hypothesis-testing. Some Bayesian ideas will be also introduced.

CMP-5034A

20

PROGRAMMING FOR NON-SPECIALISTS

The purpose of this module is to give you a solid grounding in the essential features programming using the Java programming language. The module is designed to meet the needs of the student who has not previously studied programming.

CMP-5020B

20

TOPOLOGY AND COMPUTABILITY

This module provides an introduction to two self-contained topics which have not been seen before. Topology: This is an introduction to point-set topology, which studies spaces up to continuous deformations and thereby generalises analysis, using only basic set theory. You will begin by defining a topological space, and will then investigate notions like open and closed sets, limit points and closure, bases of a topology, continuous maps, homeomorphisms, and subspace and product topologies. Computability: This is an introduction to the theoretical foundation of computability theory. The main question we will focus on is "which functions can in principle (i.e., given unlimited resources of space and time) be computed?". The main object of study will be certain devices known as unlimited register machines (URM's). We will adopt the point of view that a function is computable, if and only if, I is computable by a URM. You will identify large families of computable functions and will prove that certain naturally occurring functions are not computable.

MTHF5029Y

20

Students must study the following modules for 20 credits:

Name Code Credits

DISSERTATION

EDU-6001Y

20

Students will select 60 - 100 credits from the following modules:

Name Code Credits

MATHEMATICAL TECHNIQUES

We provide techniques for a wide range of applications, while stressing the importance of rigour in developing such techniques. The Calculus of Variations includes techniques for maximising integrals subject to constraints. A typical problem is the curve described by a heavy chain hanging under the effect of gravity. You will develop techniques for algebraic and differential equations. This includes asymptotic analysis, which provides approximate solutions when exact solutions can not be found and when numerical solutions are difficult. Integral transforms are useful for solving problems including integro-differential equations. This unit will include illustration of concepts using numerical investigation with MAPLE and/or MATLAB.

MTHD6032B

20

ADVANCED STATISTICS

This module covers two topics in statistical theory: Linear and Generalised Linear models and also includes Stochastic processes. The first two topics consider both the theory and practice of statistical model fitting and students will be expected to analyse real data using R. Stochastic processes including the random walk, Markov chains, Poisson processes, and birth and death processes.

CMP-6004A

20

CRYPTOGRAPHY

Cryptography is the science of coding and decoding messages so as to keep these messages secure, and has been used throughout history. In the past, encryption was mainly used by a small number of individuals in positions of authority. Nowadays the universal presence of the internet and e-commerce means that we all have transactions that we want to keep secret. The speed of modern home computers means that an encrypted message that would have been perfectly secure (that is, would have taken an inordinately long time to break) a few decades ago can now be broken in seconds. But as decryption methods have advanced, the methods of encryption have also become more sophisticated. Modern cryptosystems depend on mathematics, in particular Number Theory and Algebra. The most famous example of a public key cryptosystem, RSA, relies on the fact that it is 'hard' to factor a large number into a product of primes. In this course, we will look at the mathematics underpinning both classical and modern methods of cryptography and consider how these methods can be applied. You will compare material on symmetric key cryptography and public key cryptography. Examples of both will be given, along with discussion of their strengths and weaknesses, with the emphasis being on the mathematics. You will look at how prime numbers can be used in cryptography, with material on primality testing and factorisation. You will also define and study elliptic curves in order to investigate the relatively new field of elliptic curve cryptography.

MTHD6025B

20

DYNAMICAL METEOROLOGY

Dynamical meteorology is a core subject on which weather forecasting and the study of climate and climate change are based. This module applies fluid dynamics to the study of the circulation of the Earth's atmosphere. The fluid dynamical equations and some basic thermodynamics for the atmosphere are introduced. These are then applied to topics such as geostrophic flow, thermal wind and the jet streams, boundary layers, gravity waves, the Hadley circulation, vorticity and potential vorticity, Rossby waves, and equatorial waves. Emphasis will be placed on fluid dynamical concepts as well as on finding analytical solutions to the equations of motion.

MTHD6018A

20

FLUID DYNAMICS

Fluid dynamics has wide ranging applications across nature, engineering, and biology. From understanding the behaviour of ocean waves and weather, designing efficient aircraft and ships, to capturing blood flow, the ability to understand and predict how fluids (liquids and gasses) behave is of fundamental importance. You will consider mathematical models of fluids, particularly including viscosity (or stickiness) of a fluid. Illustrated by practical examples throughout, you will develop the governing differential Navier-Stokes equations, and then consider their solution either finding exact solutions, or using analytical techniques to obtain solutions in certain limits (for example low viscosity or high viscosity).

MTHD6020A

20

FUNCTIONAL ANALYSIS

This course will cover normed spaces; completeness; functionals; Hahn-Banach theorem; duality; and operators. Time permitting, we shall discuss Lebesgue measure; measurable functions; integrability; completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as the spectral theorem.

MTHD6033B

20

GALOIS THEORY

A prerequisite of this module is that you have studied the Algebra module. Galois theory is one of the most spectacular mathematical theories. It gives a beautiful connection between the theory of polynomial equations and group theory. In fact, many fundamental notions of group theory originated in the work of Galois. For example, why are some groups called "solvable"? Because they correspond to the equations which can be solved (by some formula based on the coefficients and involving algebraic operations and extracting roots of various degrees). Galois theory explains why we can solve quadratic, cubic and quartic equations, but no similar formulae exist for equations of degree greater than 4. In modern exposition, Galois theory deals with "field extensions", and the central topic is the "Galois correspondence" between extensions and groups.

MTHE6004B

20

GRAPH THEORY

A graph is a set of 'vertices' - usually finite - which may or may not be linked by 'edges'. Graphs are very basic structures and therefore play an important role in many parts of mathematics, computing and science more generally. In this module, you will develop the basic notions of connectivity and matchings. You'll explore the connection between graphs and topology via the planarity of graphs. We aim to prove a famous theorem due to Kuratowski which provides the exact conditions for a graph to be planar. You will also be able to study an additional topic on graph colourings. One of the best known theorems in graph theory is the Four-Colour-Theorem. While this result is not within our reach, we shall aim to prove the Five-Colour-Theorem.

MTHD6005A

20

MATHEMATICAL BIOLOGY

Mathematics finds wide-ranging applications in biological systems: including population dynamics, epidemics and the spread of diseases, enzyme kinetics, some diffusion models in biology including Turing instabilities and pattern formation, and various aspects of physiological fluid dynamics.

MTHD6021B

20

MATHEMATICAL LOGIC

Mathematical logic analyses symbolically the way in which we reason formally, particularly about mathematical structures. The ideas have applications to other parts of Mathematics, as well as being important in theoretical computer science and philosophy. We give a thorough treatment of predicate and propositional logic and an introduction to model theory.

MTHD6015A

20

Students will select 0 - 40 credits from the following modules:

Name Code Credits

CHILDREN, TEACHERS AND MATHEMATICS

This module will introduce you to key issues in mathematics education, particularly those that relate to the years of compulsory schooling. Specifically in this module we: Introduce the mathematics curriculum and pupils' perception of, and difficulties with, key mathematical concepts; Discuss public and popular culture perceptions of mathematics, mathematical ability and mathematicians as well as address ways in which these perceptions can be modified; Outline and discuss specific pedagogical actions (focused on challenge and motivation) that can be taken as early as possible during children's schooling and can provide a solid basis for pupils' understanding and appreciation of mathematics. By the end of the module you will be able to: Gain understanding of key curricular, pedagogical and social issues that relate to the teaching and learning of mathematics, a crucial subject area in the curriculum; Reflect on pedagogical action that aims to address those issues, particularly in the years of compulsory schooling; Be informed and able to consider the potential of pursuing a career in education, either as a teacher, educational professional or researcher in education with particular specialisation in the teaching and learning of mathematics.

EDUB6006A

20

HISTORY OF MATHEMATICS

You will trace the development of mathematics from prehistory to the high cultures of ancient Egypt, Mesopotamia, and the Indus Valley civilisation, through Islamic mathematics, and on to mathematical modernity, through a selection of topics. You will explore the rise of calculus and algebra from the time of Greek and Indian mathematicians, up to the era of Newton and Leibniz. We also discuss other topics, such as mathematical logic: ideas of propositions, axiomatisation and quantifiers. Our style is to explore mathematical practice and conceptual developments, in different historical and geographical settings.

MTHA6002A

20

SCIENCE COMMUNICATION

You will gain an understanding of how science is disseminated to the public and explore the theories surrounding learning and communication. You will investigate science as a culture and how this culture interfaces with the public. Examining case studies in a variety of different scientific areas, alongside looking at how information is released in scientific literature and subsequently picked up by the public press, will give you an understanding of science communication. You will gain an appreciation of how science information can be used to change public perception and how it can sometimes be misinterpreted. You will also learn practical skills by designing, running and evaluating a public outreach event at a school or in a public area. If you wish to take this module you will be required to write a statement of selection. These statements will be assessed and students will be allocated to the module accordingly.

BIO-6018Y

20

THE LEARNING AND TEACHING OF MATHEMATICS

The aim of the module is to introduce you to the study of the teaching and learning of mathematics with particular focus to secondary and post compulsory level. In this module, you will explore theories of learning and teaching of mathematical concepts typically included in the secondary and post compulsory curriculum. Also, you will learn about knowledge related to mathematical teaching. If you are interested in mathematics teaching as a career or interested in mathematics education as a research discipline, then this module will equip you with the necessary knowledge and skills.

EDUB6014A

20

Students will select 0 - 20 credits from the following modules:

Name Code Credits

ADVANCED TOPICS IN PHYSICS

On this module you will study a selection of advanced topics in classical physics that provide powerful tools in many applications as well as provide a deep theoretical background for further advanced studies in both classical and quantum physics. The topics include analytical mechanics, electromagnetic field theory and special relativity. Within this module you will also complete a computational assignment, developing necessary skills applicable for computations in many areas of physics

PHY-6002B

20

EDUCATIONAL PSYCHOLOGY

This module will provide you with an introduction to key areas of psychology with a focus on learning and teaching in education. By the end of the module you should be able to: - Discuss the role of perception, attention and memory in learning; - Compare and contrast key theories related to learning, intelligence, language, thinking and reasoning; - Critically reflect on key theories related to learning,intelligence, language, thinking and reasoning in the practical context; - Discuss the influence of key intrapersonal, interpersonal and situational factors on pupils learning and engagement in educational settings.

EDUB5012A

20

FINANCIAL ACCOUNTING

What are the rules that dictate how company accounts should be prepared and why do those rules exist? This is the essence of this module. Whilst company directors may wish to present the financial condition of a business in the best possible light, rules have been developed to protect investors and users of the accounts from being misled. You'll develop knowledge and skills in understanding and applying accounting standards when preparing financial statements. You'll also prepare and analyse statements of both individual businesses and groups of companies. Large UK companies report using International Financial Reporting Standards and these are the standards that you'll use. You'll begin by preparing basic financial statements and progress, preparing accounts of increasing complexity by looking at topics including goodwill, leases, cashflow statements, foreign currency transactions, financial instruments and group accounts. You'll also deepen your analytical skills through ratio analysis. You'll learn through a mixture of lectures, seminars and self-study, and be assessed by coursework (20%) and final examination (80%). On successful completion of this module, you'll have acquired significant technical skills in both the preparation and analysis of financial statements. This will give you a strong basis from which to build should you wish to study advanced financial accounting or are planning on a career in business or accounting.

NBS-5002Y

20

INTRODUCTION TO QUANTUM MECHANICS AND SPECIAL RELATIVITY

This module introduces you to quantum mechanics and special relativity. In quantum mechanics focus will be on: 1. Studying systems involving very short length scales - eg structure of atoms. 2. Understanding why the ideas of classical mechanics fail to describe physical effects when sub-atomic particles are involved. 3. Deriving and solving the Schrodinger equation. 4. Understanding the probabilistic interpretation of the Schrodinger equation. 5. Understanding how this equation implies that certain physical quantities such as energy do not vary continuously, but can only take on discrete values. The energy levels are said to be quantized. For special relativity, the general concept of space and time drastically changes for an observer moving at speeds close to the speed of light: for example time undergoes a dilation and space a contraction. These counterintuitive phenomena are however direct consequences of physical laws. The module will also explain the basis of Special Relativity using simple mathematics and physical intuition. Important well-known topics like inertial and non-inertial frames, the Lorentz transformations, the concept of simultaneity, time dilation and Lorentz contraction, mass and energy relation will be explained. You will end with the implications of special relativity and quantum mechanics on a relativistic theory of quantum mechanics.

MTHF5030Y

20

PROGRAMMING FOR NON-SPECIALISTS

The purpose of this module is to give you a solid grounding in the essential features programming using the Java programming language. The module is designed to meet the needs of the student who has not previously studied programming.

CMP-5020B

20

TOPOLOGY AND COMPUTABILITY

This module provides an introduction to two self-contained topics which have not been seen before. Topology: This is an introduction to point-set topology, which studies spaces up to continuous deformations and thereby generalises analysis, using only basic set theory. You will begin by defining a topological space, and will then investigate notions like open and closed sets, limit points and closure, bases of a topology, continuous maps, homeomorphisms, and subspace and product topologies. Computability: This is an introduction to the theoretical foundation of computability theory. The main question we will focus on is "which functions can in principle (i.e., given unlimited resources of space and time) be computed?". The main object of study will be certain devices known as unlimited register machines (URM's). We will adopt the point of view that a function is computable, if and only if, I is computable by a URM. You will identify large families of computable functions and will prove that certain naturally occurring functions are not computable.

MTHF5029Y

20

Disclaimer

Whilst the University will make every effort to offer the modules listed, changes may sometimes be made arising from the annual monitoring, review and update of modules and regular (five-yearly) review of course programmes. Where this activity leads to significant (but not minor) changes to programmes and their constituent modules, there will normally be prior consultation of students and others. It is also possible that the University may not be able to offer a module for reasons outside of its control, such as the illness of a member of staff or sabbatical leave. In some cases optional modules can have limited places available and so you may be asked to make additional module choices in the event you do not gain a place on your first choice. Where this is the case, the University will endeavour to inform students.

Further Reading

  • Ask a Student

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  • UEA Award

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Entry Requirements

  • A Level ABB including grade A in Mathematics or ABC including A in Mathematics and B in Further Mathematics
  • International Baccalaureate 32 points including HL6 in Mathematics
  • Scottish Highers AAABB including Advanced Higher grade B in Mathematics
  • Scottish Advanced Highers BCC including grade B in Mathematics
  • Irish Leaving Certificate 3 subjects at H2 including Mathematics, 3 subjects at H3
  • Access Course Pass the Access to HE Diploma with Distinction in 30 credits at Level 3 and Merit in 15 credits at Level 3, including 12 credits in Mathematics. Interview required
  • BTEC DDM alongside grade A in A level Maths. Excludes Public Services
  • European Baccalaureate 75% overall including 85% in Mathematics

Entry Requirement

GCSE English Language grade 4 and GCSE Mathematics grade 4 or GCSE English Language grade C and GCSE Mathematics grade C are required.  

Science A-levels must include a pass in the practical element.

A-Level General Studies and Critical Thinking are not accepted.

UEA recognises that some students take a mixture of International Baccalaureate IB or International Baccalaureate Career-related Programme IBCP study rather than the full diploma, taking Higher levels in addition to A levels and/or BTEC qualifications. At UEA we do consider a combination of qualifications for entry, provided a minimum of three qualifications are taken at a higher Level. In addition some degree programmes require specific subjects at a higher level.

Students for whom English is a Foreign language

We welcome applications from students from all academic backgrounds. We require evidence of proficiency in English (including speaking, listening, reading and writing) at the following level:

  • IELTS: 6.5 overall (minimum 6.0 in any component)

We will also accept a number of other English language qualifications. Review our English Language Equivalences here.

INTO University of East Anglia 

If you do not yet meet the English language requirements for this course, INTO UEA offer a variety of English language programmes which are designed to help you develop the English skills necessary for successful undergraduate study:

If you do not meet the academic and or English requirements for direct entry our partner, INTO University of East Anglia offers guaranteed progression on to this undergraduate degree upon successful completion of a preparation programme. Depending on your interests, and your qualifications you can take a variety of routes to this degree:

International Foundation in Physical Sciences and Engineering
International Foundation in Mathematics and Actuarial Sciences

Interviews

The majority of candidates will not be called for an interview. However, for some students an interview will be requested. These are normally quite informal and generally cover topics such as your current studies, reasons for choosing the course and your personal interests and extra-curricular activities.

Applicants taking an Access course will be invited to attend an interview.

Gap Year

We welcome applications from students who have already taken or intend to take a gap year, believing that a year between school and university can be of substantial benefit. You are advised to indicate your reason for wishing to defer entry and may wish to contact the appropriate Admissions Office directly to discuss this further.

Intakes

Intake is September.

Alternative Qualifications

We encourage you to apply if you have alternative qualifications equivalent to our stated entry requirements. Please contact us for further information.

Course Open To

This course is open to UK/EU and International applicants.
  • A Level ABB including A in Mathematics or ABC including A in Mathematics and B in Further Mathematics. Science A-Levels must include a pass in the practical element.
  • International Baccalaureate 32 points including Higher Level 6 in Mathematics.
  • Scottish Highers AAABB alongside Scottish Advanced Highers grade A in Mathematics.
  • Scottish Advanced Highers BCC including B in Mathematics.
  • Irish Leaving Certificate 3 subjects at H2, 3 subjects at H3, including H2 Mathematics.
  • Access Course Pass Access to HE Diploma with Distinction in 30 credits at Level 3 and Merit in 15 credits at Level 3, including 12 credits in Mathematics. Please note that an interview will be required.
  • BTEC DDM in a relevant subject plus A-level Mathematics at Grade A. Public Services and Business Administration are not accepted.
  • European Baccalaureate 75% overall, including 85% in Mathematics.

Entry Requirement

General Studies and Critical Thinking are not accepted. 

If you do not meet the academic requirements for direct entry, you may be interested in one of our Foundation Year programmes:

Mathematics with a Foundation Year

Students for whom English is a Foreign language

Applications from students whose first language is not English are welcome. We require evidence of proficiency in English (including writing, speaking, listening and reading):

  • IELTS: 6.5 overall (minimum 6.0 in all components)

We also accept a number of other English language tests. Please click here to see our full list.

INTO University of East Anglia 

If you do not yet meet the English language requirements for this course, INTO UEA offer a variety of English language programmes which are designed to help you develop the English skills necessary for successful undergraduate study:

If you do not meet the academic and or English requirements for direct entry our partner, INTO University of East Anglia offers guaranteed progression on to this undergraduate degree upon successful completion of a preparation programme. Depending on your interests, and your qualifications you can take a variety of routes to this degree:

Interviews

Most applicants will not be called for an interview and a decision will be made via UCAS Track. However, for some applicants an interview will be requested. Where an interview is required the Admissions Service will contact you directly to arrange a time.

Gap Year

We welcome applications from students who have already taken or intend to take a gap year.  We believe that a year between school and university can be of substantial benefit. You are advised to indicate your reason for wishing to defer entry on your UCAS application.

Intakes

The annual intake is in September each year.

Alternative Qualifications

UEA recognises that some students take a mixture of International Baccalaureate IB or International Baccalaureate Career-related Programme IBCP study rather than the full diploma, taking Higher levels in addition to A levels and/or BTEC qualifications. At UEA we do consider a combination of qualifications for entry, provided a minimum of three qualifications are taken at a higher Level. In addition some degree programmes require specific subjects at a higher level.

GCSE Offer

You are required to have Mathematics and English Language at a minimum of Grade C or Grade 4 or above at GCSE.

Course Open To

UK and overseas applicants.

Fees and Funding

Undergraduate University Fees and Financial Support

Tuition Fees

Information on tuition fees can be found here:

UK students

EU Students 

Overseas Students

Scholarships and Bursaries

We are committed to ensuring that costs do not act as a barrier to those aspiring to come to a world leading university and have developed a funding package to reward those with excellent qualifications and assist those from lower income backgrounds.

The University of East Anglia offers a range of Scholarships; please click the link for eligibility, details of how to apply and closing dates.

How to Apply

Applications need to be made via the Universities Colleges and Admissions Services (UCAS), using the UCAS Apply option.

UCAS Apply is a secure online application system that allows you to apply for full-time Undergraduate courses at universities and colleges in the United Kingdom. It is made up of different sections that you need to complete. Your application does not have to be completed all at once. The application allows you to leave a section partially completed so you can return to it later and add to or edit any information you have entered. Once your application is complete, it is sent to UCAS so that they can process it and send it to your chosen universities and colleges.

The Institution code for the University of East Anglia is E14.

Further Information

Please complete our Online Enquiry Form to request a prospectus and to be kept up to date with news and events at the University. 

Tel: +44 (0)1603 591515

Email: admissions@uea.ac.uk

    Next Steps

    We can’t wait to hear from you. Just pop any questions about this course into the form below and our enquiries team will answer as soon as they can.

    Admissions enquiries:
    admissions@uea.ac.uk or
    telephone +44 (0)1603 591515