Module Code:

MA1612 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• The aim of the module is to introduce the student to some of the main mathematical concepts in the modern approach to geometry and develop their understanding and use of methods using these concepts.

Module Code:

MA1861 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• Give students a grounding in the basic concepts and techniques of applied statistics.
• Develop students’ critical and analytical skills in discerning the correct and incorrect use of statistics in practice
• Develop students’ skills in solving statistical problems.

Module Code:

MA1831 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• Develop students’ skills in the use of the techniques of calculus, complex numbers and vector algebra.
• Give students confidence in developing their own mathematical skills.

Module Code:

MA1611 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• The aims of the module are to develop the student’s understanding of logic and basic set theory and apply them to problems in discrete mathematics

Module Code:

(L4)EF1705

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• enhance students’ ability to communicate in an academic English speaking environment
• extend students’ active vocabulary use
• revise and consolidate ability to use grammar effectively
• develop the skills necessary for independent language learning

Module Code:

L4)EF1706

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• enhance students’ ability to communicate in an academic English speaking environment
• extend students’ active vocabulary use
• revise and consolidate ability to use grammar effectively4. develop the skills necessary for independent language learning

Module Code:

MA1851 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• To develop student’s skills of using a computer algebra package and to apply it to topics seen in 1st year mathematics.
• To develop student's mathematical modelling skills and enable the student to apply their subject knowledge.
• To develop student’s transferrable skills; including report writing and communication.
• To introduce students to the mathematical typesetting package, LaTeX.

Module Code:

AP1842 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• To provide a basic introduction to Mechanics including the presentation of Newton's laws of motion and the application of these, and their consequences, to simple configurations

Module Code:

MA1871 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• The first part of the module is devoted to probability theory and it aims to introduce students to important concepts related to probabilities through the theoretic foundations of probability theory. The second part of the module is an introduction to statistical analysis and its main objective is to teach students how to infer useful information about a population by using estimation methods, confidence intervals and testing of hypotheses.

Module Code:

MA1821 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• This module aims to:1)Equip students with the tools and background needed to be able to rigorously treatmathematical ideas relating to real numbers, functions, sequences and series.2)Develop students understanding of and ability to develop mathematical proofs.

Module Code:

MA1811 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• Develop students' skills in the use of the basic techniques of matrices, polynomials and algebra.
• Give students confidence in developing their own mathematical skills.

Module Code:

EF1498 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• Enable students to structure an academic essay
• Enable students to construct simple, cogent arguments in academic writing
• Increase learner autonomy as researchers
• Enhance academic presentation skills

Module Code:

CO1808 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• To develop and apply written and verbal communication skills
• To develop effective Internet research skills
• To develop skills in the acquisition, analysis and use of information
• To develop and apply inter-personal skills

Module Code:

MA1613 (L4)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• This module aims to explore the historical development of mathematical topics and ideas together with the contributions made by various cultures and individuals towards this development.In addition, the module aims to raise students’ awareness of academic writing skills in the UK at Higher Education level and give them the necessary tools to be able to plan, draft and write a coherent and well researched academic essay.

Module Code:

MA2831 (L5)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• Present to students a coherent development of the theory of ordinary differential equations.
• Give students a range of techniques for solving ordinary differential equations analytically.
• Introduce the idea of Fourier series and their role in solving differential equations.

Module Code:

MA2821 (L5)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• The aim of this course is to provide the rigorous analysis of the underlying concepts of calculus. It will also provide an introduction to extending concepts of real analysis into the complex domain.

Module Code:

MA2873 (L5)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• Introduce students to the theory of generalised linear models for modelling relationships between variables, with an emphasis on practical considerations.
• Present to students the use of specific models and associated techniques.
• Train students to use statistical software packages such as SPSS (or STATA).

Module Code:

MA2852 (L5)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• Modern physical scientists require knowledge of numerical methods, which are used to solve problems that may be analytically intractable. Mathematicians require a similar knowledge, but in their case this knowledge must include the background theory and not simply a tool-kit of methods; the theory relates especially to the inherent limitations of the numerical methods in question.The aims of the module are to:
• Develop students’ knowledge of numerical methods, with emphasis on solving algebraic equations, solving linear systems of equations, interpolation, and calculus.
• Build on students’ existing knowledge of mathematical methods and analysis, to place numerical methods on a firm theoretical foundation.
• Inform students of the inherent errors and other potential problems associated with numerical analysis, and train students to analyse these errors.
• Develop students’ confidence in both their analytical and computational skills.

Module Code:

MA2872 (L5)

Credit Value:

10 UK CREDITS / 5 ECTS

Module Aims:

• This module aims to present an overview of basic sampling techniques, and to develop students' understanding of the principles and methods used to design survey sampling schemes.

Module Code:

MA2832 (L5)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• Present to students a coherent development of vector calculus.
• Give students a range of techniques for solving problems using vector calculus.
• Give students’ an understanding of the applications of vector calculus to physical problems.

Module Code:

MA2811 (L5)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• To introduce some of the most important structures in modern algebra.

Module Code:

MA2812 (L5)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• To enable students to understand the mathematics for the implementation of the public key crypto systems RSA and El Gamal as well as attacks on such systems.

Module Code:

MA2871 (L5)

Credit Value:

10 UK CREDITS / 5 ECTS

Module Aims:

• This module explores the fundamental principles and methods of modern nonparametric statistics. Methods for a wide variety of applied problems will be explored and students should be able to compare these methods to the corresponding parametric procedures.

Module Code:

MA3821 (L6)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• The aim of this module is to take ideas from real analysis and develop them for application to the complex domain. The focus is on complex series and calculus in the complex plane, particularly with regards to integration. The circle is completed when results from complex analysis are applied to real problems which are difficult to solve in the real domain alone.

Module Code:

MA3872 (L6)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• This module aims to develop students’ knowledge of computational approaches to solving statistical problems, and further develop students’ skills in data manipulation, including how to write efficient and transparent programs in R, and introducing them to packages and functions that are used in statistical analysis as well as techniques for managing data and using graphs to visually describe datasets.

Module Code:

MA3871 (L6)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• This module aims to introduce students to basic concepts of stochastic processes and their applications to physics, engineering, biology and finance.

Module Code:

MA3873 (L6)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• This module aims to introduce students to a variety of statistical models for time series and cover the main methods for analysing these models.

Module Code:

MA3877

Credit Value:

10 CREDITS/5ECTS

Module Aims:

• To introduce students to the insurance system and understand different life insurance products and principles in order to apply these principles to solve complex problems related to mathematics of insurance.

Module Code:

MA3876 (L6)

Credit Value:

10 CREDITS/5ECTS

Module Aims:

• This module aims to introduce students to statistical methods for analyzing survival data derived from laboratory studies, clinical and epidemiologic studies of humans, and other appropriate applications.

Module Code:

MA3811 (L6)

Credit Value:

20 CREDITS (10 ECTS)

Module Aims:

• The aim of this course is to study fields, particularly subfields of the complex numbers, and their subfield structure by using Galois groups.

Module Code:

MA3878

Credit Value:

10 CREDITS (5 ECTS)

Module Aims:

• This module aims to introduce students to advanced statistical techniques and their empirical applications in analyzing and modeling financial data and examining particular hypotheses related to financial markets.

Module Code:

MA3999 (L6)

Credit Value:

20 CREDITS (10 ECTS)

Module Aims:

• To provide students with the opportunity to study a particular area of mathematics which is of interest to them.
• To demonstrate students’ skills in writing mathematics in a clear and logical way.
• To provide students with the opportunity to develop and display their transferable skills.
• To encourage students to learn independently and become ‘lifelong learners’.

Module Code:

MA3874

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• The aim of the module is to introduce students to the main ideas of multivariate statistical analysis, that is, the analysis of sets of data where we have several measurements on each of a number of individuals.

Module Code:

MA3875 (L6)

Credit Value:

10 UK CREDITS / 5 ECTS

Module Aims:

• The aim of this module is to introduce to students methods for solving constrained optimization problems. Apart from lagrangian methods, the module will focus on linear programs and how they can be solved using for example the simplex method or other methods in more special circumstances such as in zero-sum games and in network optimization problems.

Module Code:

MA3831 (L6)

Credit Value:

20 UK CREDITS / 10 ECTS

Module Aims:

• The aim of this course is to study fields, particularly subfields of the complex numbers, and their subfield structure by using Galois groups.