Clearing 2021
BSc Mathematics with Physics options

# Final Year, Component 04

Level 6 Maths option from list
MA301-6-SP
Group Theory
(15 CREDITS)

You will study abstract algebra by developing the theory of groups. The theory will be illustrated through examples in settings that you will already have encountered in your course.

MA304-6-SP
Data Visualisation
(15 CREDITS)

In a world increasingly driven by data, the need for analysis and visualisation is more important than ever. In this module you will look at data through the eyes of a numerical detective. You will work on the lost art of exploratory data analysis, reviewing appropriate methods for data summaries with the aim to summarise, understand, extract hidden patterns and identify relationships. You will then work on graphical data analysis, using simple graphs to understand the data, but also advanced complex methods to scrutinise data and interactive plots to communicate data information to a wider audience. For data analysis and visualisations you will use R-studio, and a combination of R-shiny applications and google visualisations for interactive plotting.

MA305-6-AU
Nonlinear Programming
(15 CREDITS)

How do you apply an algorithm or numerical method to a problem? What are the advantages? And the limitations? Understand the theory and application of nonlinear programming. Learn the principles of good modelling and know how to design algorithms and numerical methods. Critically assess issues regarding computational algorithms.

MA306-6-AU
Combinatorial Optimisation
(15 CREDITS)

In this module you will learn what underpins the algorithms used where variables are integer and apply these algorithms to solve integer and mixed integer problems with cutting-plane algorithms.

MA307-6-AU
Advanced Ordinary Differential Equations and Dynamical Systems
(15 CREDITS)

The subject of Ordinary Differential Equations (ODEs) is a very important and fascinating branch in mathematics. An abundance of phenomena in physics, biology, engineering, chemistry, finance and neuroscience to name a few, may be described and studied using such equations. The module will introduce you to advanced topics and theories in ODEs and dynamical systems.

MA314-6-SP
Graph Theory
(15 CREDITS)

Examine key definitions, proofs and proof techniques in graph theory. Gain experience of problems connected with chromatic number. Understand external graph theory, Ramsey theory and the theory of random graphs.

MA315-6-SP
Cryptography and Codes
(15 CREDITS)

How do standard coding techniques in computer security work? And how does RSA cryptography work? Examine the principles of cryptography and the mathematical principles of discrete coding. Analsye the concepts of error detection and correction. Understand the algebra and number theory used in modern cryptography and coding schemes.

MA316-6-AU
Commutative Algebra
(15 CREDITS)

Commutative algebra is the cornerstone established by Hilbert to give a formal backing to intuitive arguments in geometry. This module will provide you with a solid foundation of commutative rings and module theory, as well as help developing foundational notions helpful in other areas such as number theory, algebraic geometry, and homological algebra. Examples will be key, many of them will be made ‘graphic’ thanks to Hilbert’s Nullstellensatz.

MA317-6-SP
Modelling Experimental Data
(15 CREDITS)

Can you calculate confidence intervals for parameters and prediction intervals for future observations? Represent a linear model in matrix form? Or adapt a model to fit growth curves? Learn to apply linear models to analyse data. Discuss underlying assumptions and standard approaches. Understand methods to design and analyse experiments.

MA318-6-AU
Statistical Methods
(15 CREDITS)

This module will enable you to expand your knowledge on multiple statistical methods. You will learn the concepts of decision theory and how to apply them, have the chance to explore “Monte Carlo” simulation, and develop an understanding of Bayesian inference, and the basic concepts of a generalised linear model.

MA319-6-AU
Stochastic Processes
(15 CREDITS)

Ever considered becoming an Actuary? This module covers the required material for the Institute and Faculty of Actuaries CT4 and CT6 syllabus. It explores the stochastic process and principles of actuarial modelling alongside time series models and analysis.

MA323-6-SP
Partial Differential Equations
(15 CREDITS)

This module will cover partial differential equations (PDEs), which can describe a majority of physical processes and phenomena. You will learn the properties of first and second order PDEs, the concepts behind them and the methods for solving such equations.

MA829-6-AU
Capstone Project: Mathematics
(15 CREDITS)
MA830-6-SP
Capstone Project: Mathematics
(15 CREDITS)

This module will allow you to step out of the classroom and gain real experience in your selected branch of Mathematics that you could not gain from a lecture. You will be able to develop your ability to work independently on research and produce a project report on your topic of interest.

MA831-6-FY
Capstone Project: Mathematics
(30 CREDITS)

This is a two-term project for which a student should undertake about 150 hours work. Students will gain experience of some branch of mathematics, statistics, operational research or the interface of these disciplines with other fields. The student should also gain experience of solo work involving research concerning some previously unknown topic, the production of a project report and an oral examination.

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