BSc (Hons) Mathematics

Module: 4MM027

Credits: 20

Period: 1

Type: Core

Locations: Wolverhampton City Campus

This module covers some key techniques in the areas of calculus and linear algebra. Calculus topics include first and second order linear differential equations and partial differentiation. Linear Algebra concepts such as systems of linear equations and vector spaces are introduced.& nbsp; Prerequisite topics such as complex numbers and hyperbolic functions are also covered.& nbsp; You will be introduced to the Maple mathematical package, which is used extensively in industry and research worldwide to model and solve mathematical problems.

Module: 4MM018

Credits: 20

Period: 1

Type: Core

Locations: Wolverhampton City Campus

This module is perhaps the most important module in your entire degree as the mathematics covered here is the basis for every other mathematical topic you will study; the mathematics you will learn here is the foundation upon which all the mathematics in the rest of your course is built. This module dovetails with the mathematics you have studied in your A level or Foundation year courses. You will study the properties of a vareity of different functions and extend the study of calculus from level 3. Here you will use differentiation and integration to solve more complex mathematical problems than you have seen before. You will also be introduced to linear algebra, using a variety of tools and techniques to solve problems using vectors and matrices. There is are plenty of opportunities to receive formative feedback on your mastery of the tools and techniques you will study in this module, and a small, early assessment on which you will recevie detailed feedback to help you identify your mathematical strengths and weaknesses to ensure you maximise your capabilities.

Module: 4MM020

Credits: 20

Period: 1

Type: Core

Locations: Wolverhampton City Campus

Operational research (or Decision/Management mathematics) is one of the most useful branches of mathematics, applying various mathematical methods (modelling, statistical techniques and algorithms) to help make better decisions in order to improve or optimise some business objective function such as profit, cost or time. This module will introduce students to some of the most fundamental operational research techniques such as linear programming and network analysis which are used to solve many problems, including those related to logistics, manufacturing and transportation. You will learn how to apply the relevant techniques to solve well defined problems by hand, and also how to use software to help solve more complex problems.

Module: 4MM023

Credits: 20

Period: 1

Type: Core

Locations: Wolverhampton City Campus

This is a fundamental course in your mathematics education. It is designed into three parts. The first part consists of 24 hours of lectures over 12 consecutive weeks covering Number Theory. Number Theory is often referred to as the “queen of mathematics” and is one of its oldest branches. You will study topics which have their origins in ancient Greece and which have fascinated ancient mathematicians including Pythagoras, Euclid, Diophantus & Al-Khwarizmi and modern mathematicians including Euler, Fermat and Lagrange. You will also learn how this ancient subject has come to have hugely important applications in modern cryptography. The second part consists of 24 hours of lectures over 12 consecutive weeks on Set Theory. Set Theory underpins all of mathematics. You are already familiar with simple notions such as union and intersection of sets. One of the achievements of set theory is to provide a framework in which all mathematics can be formalised; in particular all mathematical objects can be conceived in terms of sets. In this module you will see how this is done. The third part of this module consists of 12 hours of essential employability and professionalism skills.

Module: 4MM024

Credits: 20

Period: 1

Type: Core

Locations: Wolverhampton City Campus

Mechanics is the epitome of mathematical physics: it describes and explains the behaviour of physical objects around us, from falling apples to orbiting planets. The first great achievement of Physics as a Science was Newton's understanding that the same laws describe both. The wide range of physical phenomena that can be explained from the laws of classical mechanics makes it a pillar of virtually all other scientific fields. This makes this topic one of the oldest and largest subjects in science, engineering and technology. This is an introductory module on Newtonian Mechanics. The module will include lectures on topics including kinematics and newton's laws as well as the option to conduct laboratory sessions where you can apply these ideas in a physical context.

Module: 4MM025

Credits: 20

Period: 1

Type: Core

Locations: Wolverhampton City Campus

This is an introductory course in probability & statistics and as such it assumes no prior knowledge of the subject. You may already be familiar with some of the topics covered from your previous education but be aware that the treatment of probability and statistics at University level is markedly different to its treatment at secondary level. This module introduces the basics of probability, descriptive statistics (including graphical methods) and inferential statistics (including hypothesis testing). You will also be given weekly laboratory classes using two statistical software packages, SPSS and R. SPSS is now being developed by IBM and is a widely used software package for statistical analysis in the social sciences. It is also used by survey companies, marketing organisations, government researchers amongst others. R is an open source programming language and software environment for statistical computing. It is widely used by statisticians and data miners for developing statistical software and data analysis.

Module: 5MM024

Credits: 20

Period: 2

Type: Core

Locations: Wolverhampton City Campus

This course extends the algebra and calculus studied in year 1. This module is designed in two separate streams. The first stream is on Discrete Mathematics. Discrete mathematics involves the study of structures which are discrete rather than continuous. It is often viewed as the foundation of computer science. The second stream is on Numerical Analysis. Numerical analysis is the area of mathematics that creates, analyses, and implements algorithms for solving numerically the problems of continuous mathematics.

Module: 5MM021

Credits: 20

Period: 2

Type: Core

Locations: Wolverhampton City Campus

This module extends some of the fundamental techniques of operational research from Level 4, and introduces some new operational research techniques to enable you to solve less well defined or more complex problems than those studied in Level 4. The methods studied in this module are all designed to enable the solution of particular classes of business problem which are widely used in commerce and industry and many students report that they have found this module the most useful when undertaking their Industrial Placement year. Examples of techniques that may be explored in further depth are linear programming (to include sensitivity analysis for example) and network analysis (to include the process of crashing, or the Program Evaluation and Review Technique, for example). Other potential topics are dynamic programming, game theory, inventory control, decision analysis, transportation and assignment algorithms. You will have the opportunity for early feedback on your progress in this module as it has been designed with an early, small, assessment to help you guage your levels mastery of the tools and techniques you will need.

Module: 5MM022

Credits: 20

Period: 2

Type: Core

Locations: Wolverhampton City Campus

This course extends the algebra and calculus studied in year 1. It is designed into two streams. The first stream consists of 24 hours of lectures over 12 consecutive weeks covering Group Theory. Group Theory is the mathematical study of symmetry. This sounds a bit vague but it’s this vague definition that makes group theory such a broad and deep subject. It has its origins in the work of Galois, Lagrange and Cauchy in the 1800s. The second stream consists of 24 hours of lectures over 12 consecutive weeks on Differential Equations. The laws of physics are generally written down as differential equations. Therefore, all of science and engineering use differential equations to some degree. Understanding differential equations is essential to understanding almost any mathematical model.

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