BSc (Hons) Mathematics with Physics

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: 4AP004

Credits: 20

Period: 1

Type: Core

Locations: Wolverhampton City Campus

Physics is a Science of "unification", striving to find general fundamental principles that explain the largest possible extent of observed phenomena with the simplest set of physical laws. In this respect, electromagnetism is the standard theory that led to the unification of two important branches of physics: electricity and magnetism. Its further extension led to the "standard model" of particle physics. This level 4 module will bring us toward the culmination of the theory, namely Maxwell's equations, through preparatory study of vector calculus and in-depth separate analyses of the electric and magnetic fields. This will create familiarity with the respective phenomenology that are of considerable importance for Physics at large. These phenomenon fall under the denomination of electrostatic (the science of electric charges) and magnetostatic (the science of magnets). Special emphasis will be given to electronic circuits as an applied illustration of important concepts of electrodynamics, and to support the laboratory sessions that will focus on these aspects.

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: 4AP003

Credits: 20

Period: 1

Type: Core

Locations: Wolverhampton City Campus

Quantum mechanics describes objects at small scales and low energies. Every field of physics has its "quantum counterpart". Furthermore, quantum physics is so counter-intuitive that it makes a complete break with so-called "classical physics", even though the latter includes modern developments such as relativity that revolutionised our understanding of the nature of time and space. Besides, since our technology relies heavily on miniaturisation, quantum effects become increasingly important in the applied and engineering branches of physics. Being familiar with quantum concepts is not only important from the scientific viewpoint but also from cultural and philosophical point of views: from the quantum Zeno effect to Schrödinger's cat. Quantum physics is so pivotal in modern physics that some aspects of it will be studied in at all three levels of study in the BSc (Hons) Physics course. This level 4 module will introduce the problems with classical physics and the need for a paradigm change, how this was made through the concept of a wavefunction and its associated Schrödinger equation. Solving the latter on elementary cases with time-independent Hamiltonian will allow to delve into the interpretation and meaning of the theory. Its axiomatic formulation in an Hilbert space will introduce the formal and abstract aspects. The concept of quantum correlations will be introduced and contrasted to classical physics, with an introduction to the concepts leading to Bell's inequalities. Special emphasis will be given to applications of quantum physics and how it promises another technology revolution for the coming decades. The module will conclude on the two-body problem in quantum mechanics, introducing the notion of bosons and fermions.

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: 5AP001

Credits: 20

Period: 2

Type: Core

Locations: Wolverhampton City Campus

This module builds upon the material studied in the 4AP004-Electromagnetism I, which concluded with the presentation of Maxwell's equations, brought together by separate studies of electric and magnetic phenomena. This level 5 module combines the equations, adding the one final piece brought by Maxwell, and show how this complete description of the time-and-space varying electromagnetic field opens a whole new realm of physical phenomena and applications. The module will show in particular how light emerges out of the equations and, remarkably, how the speed of light in a vacuum arises as a universal constant that is dependent only on the electrical permittivity and magnetic permeability of free space. It will study light's propagation subsequent to its radiation by a source, a problem known as "electrodynamics". The study of light's interaction with matter will allow to revisit one's knowledge of optics from a more fundamental point of view and better appreciate the hierarchy of the subfields of physics. Intensive laboratory sessions will provide insights through a variety of microwave experiments.

Module: 5MM022

Credits: 20

Period: 2

Type: Core

Locations: Wolverhampton City Campus he microscopic...