Option for Placement Year
Option for Study Abroad
Study our fascinating solar system, exploring topics including dark matter and black holes on the Physics with Astrophysics MPhys (Hons) course.
For those with high career aspirations, this Integrated Masters course can give you an extra edge in today’s competitive job market. It will allow you to explore your subject in greater depth, with a specialised final year that leads to a Master of Physics qualification.
Choosing Physics with Astrophysics at Northumbria can open up your career possibilities.
The UK space sector is growing. Graduates in Physics with Astrophysics have never been more in demand, and at Northumbria you will be learning from the best, in world class learning environments with the aid of the best technology.
Research strengths of our staff include astro-particle physics and solar physics, as well as quantum devices, smart and nano materials, soft matter, chaos theory and dynamical systems. This breadth provides an opportunity to customise your degree in the final year – focusing on what matters to you most.
Physics and Astronomy at Northumbria is ranked Top 5 in the UK for Student Experience and Top 10 for Teaching Quality (Times Good University Guide 2026).
100% of students studying MPhys Physics with Astrophysics at Northumbria believed their course positively challenged them to achieve their best work, and thought their course enabled them to develop knowledge and skills needed for their future (NSS, 2025).
Accredited by the Institute of Physics (IOP) for the purpose of partially meeting the educational requirement for Chartered Physicist.
UCAS Code
F2W4
Level of Study
Undergraduate
Mode of Study
4 years Full Time or 5 years with a placement (sandwich)/study abroad
School
Engineering, Physics and Mathematics
Location
City Campus, Northumbria University
City
Newcastle
Start
September 2026 or September 2027
Fees
Fee Information
Modules
Module Information
Discover the funding options available to you
At Northumbria's School of Engineering, Physics and Maths, big ideas deliver real impact.
Brighter, cheaper blue light could revolutionise screen technology.
Read the news story.
Northumbria academic helps develop contact lens that can detect glaucoma.
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Northumbria academic receives award for research breakthrough.
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Northumbria to host Isaac Newton Institute Satellite Programme event.
Read the news story.Our current and future projects work towards establishing the North East as a world-renowned hub for agile, dynamic, cutting-edge space research and development.
Visit an Open Day to get an insight into what it's like to study Physics with Astrophysics. Speak to staff and students from the course and get a tour of the facilities.
Find out how research is brought into teaching on the MPhys (Hons) Physics with Astrophysics.
Visit an Open Day to get an insight into what it's like to study Physics with Astrophysics. Speak to staff and students from the course and get a tour of the facilities.
We are an enthusiastic, committed, knowledgeable and likeable staff team, who are here to motivate you and propel you through your degree and beyond.
Visit an Open Day to get an insight into what it's like to study Physics with Astrophysics. Speak to staff and students from the course and get a tour of the facilities.
At the heart of each Northumbria campus, our libraries provide a range of study space and technology to suit every learning style.
Visit an Open Day to get an insight into what it's like to study Physics. Speak to staff and students from the course and get a tour of the facilities.
Research
Electrical Power and Control Systems
Renewable Energy Technologies and Materials
Smart Materials and Surfaces Laboratory
Visit an Open Day to get an insight into what it's like to study Physics with Astrophysics. Speak to staff and students from the course and get a tour of the facilities.
You can boost your CV and develop your experience whilst studying at Northumbria.
Visit an Open Day to get an insight into what it's like to study Physics. Speak to staff and students from the course and get a tour of the facilities.
96 to 112 Tariff Points
From a combination of acceptable Level 3 qualifications which may include: A-level, T Level, BTEC Diplomas/Extended Diplomas, Scottish and Irish Highers, Access to HE Diplomas, or the International Baccalaureate.
Find out how many points your qualifications are worth by using the UCAS Tariff calculator: www.ucas.com/ucas/tariff-calculator
Northumbria University is committed to supporting all individuals to achieve their ambitions and we understand that every applicant’s circumstances can be different, which is why we take a flexible approach when making offers for this course. We have a range of schemes and alternative offers to make sure as many individuals as possible are given an opportunity to study at our university regardless of personal circumstances or background. Typically, offers range from 96 to 112 UCAS tariff points, but we’ll assess your individual circumstances and potential when reviewing your application
To find out more, review our Northumbria Entry Requirement Essential Information page for further details www.northumbria.ac.uk/entryrequirementsinfo
Subject Requirements:
Applicants will need Grade B in A-level Mathematics and Physics, or recognised equivalents.
GCSE Requirements:
Applicants will need Maths and English Language at minimum grade 4/C, or an equivalent.
Additional Requirements:
There are no additional requirements for this course.
International Qualifications:
We welcome applicants with a range of qualifications which may not match those shown above.
If you have qualifications from outside the UK, find out what you need by visiting www.northumbria.ac.uk/yourcountry
English Language Requirements:
International applicants should have a minimum overall IELTS (Academic) score of 6.0 with 5.5 in each component (or an approved equivalent*).
*The university accepts a large number of UK and International Qualifications in place of IELTS. You can find details of acceptable tests and the required grades in our English Language section: www.northumbria.ac.uk/englishqualifications
UK Fee in Year 1: £9,790
The UK tuition fee for 26/27 is £9,790 and is set in line with the UG Government's tuition fee cap. The University may increase this fee in subsequent years in line with any changes to the tuition fee cap. Students will be notified of any increase ahead of it taking effect. The remaining fees relate to the International Soccer Academy and accommodation fees. Accommodation fees may increase in subsequent years. Students will be notified of any increase ahead of the re-issuing of tenancy agreements. Tuition fees in the academic year 2027/28* will be £10,050. Fees are set in line with the UK Government's tuition fee cap. The University may increase fees in subsequent years in line with any changes to the tuition fee cap. Increases will be linked to inflation. For example, increases may be linked to RPIX (Retail Price Index excluding mortgage interest payments) Students will be notified of any increase ahead of it taking effect. Student fee loans rise in line with the tuition fees cap. *if your course is longer than one year
* Fees subject to annual increases over the course of the period of study. Students will be liable for payment of any/all tuition fees which are not sponsored by their employer or other third party.
International Fee in Year 1:
This is the tuition fee for your first year of study. You should expect to pay tuition fees for every year of study. The University may increase fees in the second and subsequent years of your course at our discretion in line with any inflationary or other uplift. Students will be notified of any increase ahead of it taking effect.
Tuition fees in the academic year 2027/28* will be £10,050. Fees are set in line with the UK Government's tuition fee cap. The University may increase fees in subsequent years in line with any changes to the tuition fee cap. Increases will be linked to inflation. For example, increases may be linked to RPIX (Retail Price Index excluding mortgage interest payments) Students will be notified of any increase ahead of it taking effect. Student fee loans rise in line with the tuition fees cap.
This is the programme fee for your first year of study. The programme fee includes the international tuition fee, International Soccer Academy and accommodation fees. Accommodation fees may increase in subsequent years. Students will be notified of any increase ahead of the re-issuing of tenancy agreements.
ADDITIONAL COSTS
There are no Additional Costs
* At Northumbria we are strongly committed to protecting the privacy of personal data. To view the University’s Privacy Notice please click here
Module information is indicative and is reviewed annually therefore may be subject to change. Applicants will be informed if there are any changes.
KC4009 -
Calculus (Core,20 Credits)
The module is designed to introduce you to the principles, techniques, and applications of Calculus. The fundamentals of differentiation and integration are extended to include differential equations and multivariable calculus. On this module you will learn:
• Differentiation: derivative as slope and its relation to limits; standard derivatives; product, quotient, and chain rules; implicit, parametric, and logarithmic differentiation; maxima / minima, curve sketching; Taylor and Maclaurin series; L’Hopital’s rule.
• Integration: standard integrals, definite integrals, area under a curve; integration using substitutions, partial fractions decomposition and integration by parts; calculation of solid volumes.
• Functions of several variables: partial differentiation and gradients; change of coordinate systems; stationary points, maxima / minima / saddle points of functions of two variables; method of Lagrange multipliers (constrained maxima / minima).
• Double integrals: standard integrals, change of order of integration.
• Ordinary differential equations: First-order differential equations solved by direct integration, separation of variables, and integrating factor. Second-order differential equations with constant coefficients solved by the method of undetermined coefficients.
KC4014 -
Dynamics (Core,20 Credits)
This module is designed to provide you with knowledge in a special topic in Applied Mathematics. This module introduces Newtonian mechanics developing your skills in investigating and building mathematical models and in interpreting the results. The following topics will be covered:
Mathematics Review
Euclidean geometry. Vector functions. Position vector, velocity, acceleration.
Cartesian representation in 3D-space. Scalar and vector products, triple scalar product.
Newton’s Laws
Inertial frames of reference. Newton's Laws of Motion. Mathematical models of forces (gravity, air resistance, reaction, elastic force).
Rectilinear and uniformly accelerated motion
Problems involving constant acceleration (e.g., skidding car), projectiles with/without drag force (e.g., parabolic trajectory, parachutist). Variable mass. Launch and landing of rockets.
Linear elasticity. Ideal spring, simple harmonic motion. Two-spring problems. Free/forced vibration with/without damping. Resonance. Real spring, seismograph.
Rotational motion and central forces
Angular speed, angular velocity. Rotating frames of reference.
Simple pendulum (radial and transverse acceleration). Equations of motion, inertial, Coriolis, centrifugal effects. Effects of Earth rotation on dynamical problems (e.g. projectile motion).
Principle of angular momentum, kinetic and potential energy. Motion under a central force. Kepler’s Laws. Geostationary satellite.
KC4017 -
Particles, Waves and the Big Bang (Core,20 Credits)
Outline Syllabus (note this is indicative rather than prescriptive):
Waves and Oscillations
Free, damped and forced vibrations, resonance, coupled oscillators; the nature of travelling waves and transport of energy; types of waves including sound, water waves and light; interference, beats and standing waves; dispersion; simple diffraction phenomena.
Geometrical Optics
Phenomena in geometrical optics, interference and diffraction and their practical applications. Properties of optical systems. The dependence of geometrical optics on wave theory.
Wave-particle duality
Electromagnetic spectrum, black body radiation and the photoelectric effect.
Standard Model and the Big Bang
A qualitative introduction to the standard model of particle physics. An introduction to Feynman diagrams. Basic constituents of matter, such as quarks and leptons, their fundamental properties and interactions, and their origin at the creation of the universe. Introductory Cosmology. Microwave Background Radiation. Star formation. Types of stars. Stellar classification.
KD4010 -
Electricity, Magnetism and Electronics (Core,20 Credits)
This module will introduce you to fundamental electromagnetism, electrical circuit theory and analogue electronics. Through a combination of lectures, labs and technology-enhanced resources, you will learn to analyse basic DC and AC circuits and to familiarise with fundamental electronic components such as operational amplifiers and semiconductor diodes. This module will provide you with core knowledge, and experimental, numerical and analytical skills to tackle problems in electrical and electronic principles, thus establishing firm foundations for future employability.
Electricity and Magnetism (25%)
Electrostatics: Coulomb's law of electrostatic forces, superposition of electrostatic forces and the electric field, electric flux, Gauss’s law and its applications to calculate electric field associated with the continuous charge distributions; Concept of electric potential and its relation to the electric field; Energy stored in an electric field; Introduction to magnetostatics.
DC and AC Circuit Theory (50%)
Introduction to ideal linear elements: resistor, inductor and capacitor. Transient currents across ideal elements. Current and voltage division rule. Applications of superposition: Kirchhoff’s law.
Properties of sinusoidal and periodic waveforms, average, RMS values. Phasors and phasor diagrams, and j operator. Complex impedance, impedance diagrams.
Applications to series circuits. Power in AC circuits, power factor, apparent power, active power, and reactive power. Complex admittance and applications to parallel
circuits. An introduction to series and parallel RLC circuits.
Analogue Electronics (25%)
Introduction to the properties of an ideal operational amplifier. Simple inverting and non-inverting applications using virtual earth principles. Properties and parameters of a non-ideal op-amplifier including gain-bandwidth. Op-amplifier applications including summing, integrator and differentiator.
KD4014 -
Research, Analysis and Presentation (Core,20 Credits)
This module aims to introduce you to gathering research data from either laboratory or reference material, analysing the acquired data in an appropriate manner and then presenting the key findings. Formal training in experimental techniques acquired in this module will support your professional and personal skills.
Research
You will learn about methods to conduct research methods based on an open-ended research question provided by the tutors. You will learn: where and how to gather information, which can be applied to generate solutions to real world problems. The ability to select from a number of research methods is important, for example, the ability to research a method to design simple laboratory tests.
Analysis
Correct use of units and symbols for physics and engineering along with the use of data analysis techniques. Specific techniques may include, for example, mean and standard deviation, simple regressive techniques, log-log and log-linear relationships, and error analysis. Simple measurement techniques may include, for example, measuring velocity, voltage, current and power. Key factors in measurement include the need to analyse the accuracy, errors, resolution and the need for calibration. You will be introduced to suitable computational packages for data analysis and processing in physics and engineering.
Presentation
You will develop key communication skills in report writing, laboratory book writing (of laboratory data), and the presentation of information both visually (via graphs and diagrams) and using text. You will develop skills in processing information, for example, highlighting key findings and drawing suitable conclusions from a piece of work, and presenting the information in both written and oral format.
Group work
Communicating and working effectively in teams is a highly sought-after skill by employers. While working in a group with other students, you will develop skills in communication and project management. You will be responsible for managing individual tasks while ensuring completion of the group tasks. You will also be introduced to tools to keep track of your professional development throughout your programme
KD4015 -
Experiments and Discovery (Core,20 Credits)
Experimental work is an important component of physics and this module provides the student with the opportunity to learn and develop core skills in observing physical phenomena and in the analysis of the results of measurements.
Students will perform experiments in a series of laboratory sessions across a broad range of physics topics, gaining experience in the use of standard laboratory equipment used in physics and also on the importance of systematic observation of physical phenomena capturing results and analyzing data to derive appropriate conclusions. The module also introduces the student to the concept of data acquisition, analysis using a computer and computer control of experiments.
Learnings and skills developed in this module:
Experiments spanning mechanics, optics, electromagnetism, electricity, thermodynamics, atomic physics and quantum physics.
Experimental techniques including recording data, plotting results, linear and logarithmic axes, and line of best fit.
Data analysis: statistical treatment of data; systematic and random errors; and combination and propagation of errors.
Computational work including: data acquisition and instrument control using National Instruments LabVIEW; and data analysis using Microsoft Excel.
Writing scientific reports: planning, structure, diagrams, tables, graphs and writing style.
SE5000 -
Skills for Academic Success in a UK University (Core – for International and EU students only,0 Credits)
You will develop your understanding of academic conventions in UK higher education aligned to your level of study, including expectations around critical analysis, structure, argumentation, evidencing, and referencing. The module focuses on developing communication strategies that will help you express your ideas clearly and coherently in written assignments and spoken activities. You will also reflect on your current academic and language skills and develop strategies for development ahead of your assessments.
More informationKC5028 -
Advanced Mathematics for Physics (Core,20 Credits)
The module is designed to provide you with the advanced mathematical and statistical techniques required to underpin study of physics at level 5 and beyond. Techniques covered will include Matrices, Fourier Series and Fourier and Laplace Transforms, Probability distributions, and an introduction to vector calculus (including div, grad and curl).
Students will develop skills in the use of advanced mathematical and statistical techniques, applying suitable mathematical calculations over a range of key topics, including explaining how a periodic waveform can be represented as an infinite series of sinusoids, and applying Fourier Transforms. The concepts of the eigenvalue and eigenvectors of a matrix, and how these can be found by algebraic means will also be covered. Finally, students will be introduced to vector calculus and vector operators, including div, grad and curl, and the Kronecker delta and Levi-Civita epsilon.
Linear Algebra
Algebraic evaluation of the eigenvalues and eigenvectors of a matrix (i.e. Matrices to the level of eigenvalues and eigenvectors). Application to the solution of a system of linear ordinary differential equations.
Vector Calculus
Coordinate systems; line, surface and volume integrals; Vector operators Grad, Div and Curl; Gauss’ (Divergence) Theorem, Stokes’ Theorem; Introduction to Cartesian tensors. Applications of vector calculus.
Fourier Series and Fourier and Laplace Transforms
Fourier series and periodic functions. Full-range and half-range series. Even and odd functions. Coefficients in complex form. Application to the solution of partial differential equations by the method of separation of variables. Fourier Transforms. Laplace Transforms. The convolution theorem. An introduction to the solution of partial differential equations.
Probability Distributions
Sample space, types of events, definition of probability, addition and multiplication laws, conditional probability. Discrete probability distributions including Binomial, Poisson. Continuous probability distributions including the Normal distribution.
KC5029 -
Space-Time and Electromagnetism (Core,20 Credits)
The theory of Electromagnetism and its relativistic foundation is at the heart of modern physics and provides a fundamental paradigm for understanding contemporary physical theories. This module will introduce you to the fundamental concepts of Special Relativity, and to the origins and properties of electric and magnetic fields. A research inquiry approach will bring you through the step-by-step processes that led to the discovery of the Maxwell equations and understanding their relativistic nature.
Electrostatics and Magnetostatics
Coulomb's law and the electric field; Electric flux and Gauss' law; Circulation and electric potential; Calculating the field from the potential (gradient); Gauss law in differential form (divergence); Circulation law in differential form (curl); Poisson's and Laplace's equations and their solutions. Polarization, multi-pole expansion, electric potential of a dipole.
Definition of magnetic field and calculation of the force; Calculating the B field: the Biot-Savart law; Circulation and Ampere's law in differential form; Magnetic flux and Gauss law in differential form; Magnetic vector potential. Equation of motion of a charge in a electromagnetic field; cycloid motion; cyclotron frequency.
Electrical and magnetic fields in materials; Electrostatic fields and conductors (method of images); Electrostatic fields in dielectrics; Magnetostatic fields in materials.
Electrodynamics
Maxwell’s Equations. Ohm’s Law in differential form; Electromotive force; Electromagnetic induction, Faraday's law in differential form; Ampere-Maxwell law in differential form; Maxwell's equations and their solutions.
Electromagnetic Waves. Derivation from Maxwell's Equations; speed of light; Energy flow, Poynting vector. Electromagnetic wave polarisation; Incident, reflected and transmitted waves at plane interfaces.
Special Relativity
Einstein's postulates; Time dilation; Length contraction; Lorentz transformations; Light cone; Relativistic velocity transformation, energy-momentum relation; Twin paradox. Relativistic invariance of charge; Lorentz transformation of electromagnetic fields; EM of moving charges.
KD5081 -
Theory, Computation and Experiment (Core,20 Credits)
This module aims to equip physics students with the knowledge and transferable skills involved in computational methods and experimental techniques. Students will analyse and present experimental data, create computational models for appropriate physical systems and perform comparisons between theory and experiment. Quantitative, analytical and modelling training acquired in this module will support students’ professional and personal skills. This module offers the additional opportunity of research-orientated learning through a hands-on approach to analysing research-based data.
Experiments - Topics may include (note this is indicative rather than prescriptive):
1. Doppler Effect
2. Optical properties of semiconductors
3. Particle accumulation on a glass surface (c.f. sand particles on photovoltaic modules and link to Monte Carlo)
4. The heat engine
5. Hall Effect
6. Fundamentals properties of X-rays
7. Radioactive decay of ?, ? and ? particles
8. Microwave Diffraction
9. PID Control
10. Thermal Conductivity
11. Cosmic Ray Detection
12. Solar photovoltaic efficiency measurement.
Computation - Topics may include (note this is indicative rather than prescriptive):
1. Curve fitting (linear and non-linear), statistical analysis and data presentation
2. Matrices to the level of eigenvectors and eigenvalues
3. Discretisation and series analysis
4. Ordinary differential equations
5. Partial differential equations (links to stock market modelling, radioactivity, electrical and mechanical systems)
6. Thermal modelling
7. Probability distribution functions
KD5082 -
Quantum Universe (Core,20 Credits)
At very small scales, classical mechanics (Newton’s laws) breaks down and quantum mechanics must be used. This module introduces the foundations of quantum mechanics starting from the failure of classical physics to describe important experiments and the concept of wave-particle duality. Students are then introduced to the concept of a particle’s wave function and solving the Schrödinger equation for standard problems.
Key parts of quantum mechanics that are covered within the module include:
The Origins of Quantum Mechanics
Bohr model of the atom. Quantised nature of light and atomic spectra. Failure of classical mechanics to describe key experiments. The photoelectric effect. Young’s double slit experiment. Wave nature of particles. Concept of wave function and localisation. De Broglie equation. Heisenberg Uncertainty Principle. Quantum numbers and Pauli Exclusion Principle.
The Schrödinger Equation and Standard Solutions
Time dependent Schrödinger equation and general formulation. Wave function normalisation. Time independent Schrödinger equation. Boundary conditions. Infinite square well. Finite square well. Tunnelling through a potential barrier. Harmonic Oscillator. Three dimensional Schrödinger equation. Particle in a box. Hydrogen atom.
Matrix Mechanics
Postulates of quantum mechanics. Operators and representation of dynamical variables. Eigenfunctions and eigenvalues and linear combinations. Hamiltonian and operator representation of the Schrödinger equation. Hermitian operators. Expectation values. Commutating operators. Harmonic oscillator: raising and lowering operators. Angular momentum and spin. Time independent perturbation theory
Particle Physics
Fundamental Forces. Particle Classification and the Standard Model. Particle interactions, reactions and decays.
KD5083 -
Semiconductor Physics (Core,20 Credits)
The module is aimed at providing students with core knowledge and understanding in semiconductor physics. The module also gives students an opportunity to develop professional and intellectual skills by analysing and discussing key industrial aspects of semiconductor materials applications. On completion of the module, students will be able to: 1. Explain the structure of matter and properties of solids in terms of atomic and molecular bonding. 2. Discuss how the band theory of solids arises when the Schrödinger equation is applied to the behaviour of electrons in solids. 3. Analyse the electrical and magnetic behaviour of solids in terms of the behaviour of their constituent electrons. 4. Analyse the behaviour of semiconductor materials in terms of the properties and behaviour of electrons and holes. 5. Discuss the common semiconductor materials, processing, devices and applications.
More informationKD5084 -
Thermal and Nuclear Energy (Core,20 Credits)
This module introduces students to fundamental knowledge in thermodynamics, statistical mechanics and nuclear physics with a focus on transferable skills through problem solving using mathematical modeling. This module also offers the opportunity to analyse nuclear energy power generation and environmental issues in a policy and wider sustainability context, strengthening students’ professional skills and values.
Classical Thermodynamics
Zeroth, first and second laws of thermodynamics, temperature scales, thermal energy and work, internal energy and heat capacity. Classical gas laws. Specific heat, thermal resistance and capacitance and dynamic thermal models of structures such as domestic properties. Thermal cycles, including Carnot, Rankine and Otto cycles; applications to heat engines and heat pumps. Thermodynamic efficiency of heat engines. Entropy, Enthalpy and Helmholtz and Gibbs free energies. Maxwell Relations and Thermodynamic Susceptibilities.
Statistical Mechanics
Kinetic theory of gases; derivation of gas laws, specific heat, and mass, momentum and energy transport coefficients. Statistical mechanical interpretation of entropy. Single and multiple-particle partition function and its relation to thermodynamics. Probability distributions, including Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein distribution functions.
Nuclear Energy
The structure of the nucleus, zone of stability and simple nuclear models. Both natural and artificially induced radioactivity, including alpha, beta and gamma radiation. Nuclear fission and nuclear reactors. Nuclear fusion including an introduction to solar nuclear processes and current and future nuclear reactors. Nuclear instrumentation. Nuclear safety.
Nuclear and Thermal Power Sources and their effect on the environment
Thermodynamic efficiency, losses, overall effect on society, Sankey diagrams and simple modelling tools such as the McKay 2050 pathways calculator.
SE5000 -
Skills for Academic Success in a UK University (Core – for International and EU students only,0 Credits)
You will develop your understanding of academic conventions in UK higher education aligned to your level of study, including expectations around critical analysis, structure, argumentation, evidencing, and referencing. The module focuses on developing communication strategies that will help you express your ideas clearly and coherently in written assignments and spoken activities. You will also reflect on your current academic and language skills and develop strategies for development ahead of your assessments.
More informationKL5006 -
Work placement year (Optional,120 Credits)
This module is designed for all standard full-time undergraduate programmes within the Faculty of Engineering and Environment to provide you with the option to take a one year work placement as part of your programme.
You will be able to use the placement experience to develop and enhance appropriate areas of your knowledge and understanding, your intellectual and professional skills, and your personal value attributes, relevant to your programme of study, as well as accreditation bodies such as BCS, IET, IMechE, RICS, CIOB and CIBSE within the appropriate working environments. Due to its overall positive impact on employability, degree classification and graduate starting salaries, the University strongly encourages you to pursue a work placement as part of your degree programme.
This module is a Pass/Fail module so does not contribute to the classification of your degree. When taken and passed, however, the Placement Year is recognised both in your transcript as a 120 credit Work Placement Module and on your degree certificate.
Your placement period will normally be full-time and must total a minimum of 40 weeks.
KL5007 -
Study abroad year (Optional,120 Credits)
This module is designed for all standard full-time undergraduate programmes within the Faculty of Engineering and Environment and provides you with the option to study abroad for one full year as part of your programme.
This is a 120 credit module which is available between Levels 5 and 6. You will undertake a year of study abroad at an approved partner University where you will have access to modules from your discipline, but taught in a different learning culture. This gives you the opportunity to broaden your overall experience of learning. The structure of study will be dependent on the partner and will be recorded for an individual student on the learning agreement signed by the host University, the student, and the home University (Northumbria).
Your study abroad year will be assessed on a pass/fail basis. It will not count towards your final degree classification but, it is recognised in your transcript as a 120 credit Study Abroad module and on your degree certificate in the format – “Degree title (with Study Abroad Year)”.
KL5008 -
Work placement semester (Optional,60 Credits)
This module operates within a partnership between the University, employer and yourself, and provides you with the opportunity to develop core competencies and employability skills relevant to your programme of study in a work based environment.
You will be able to use the placement experience to develop and enhance appropriate areas of your knowledge and understanding, your intellectual and professional skills, and your personal value attributes, relevant to your programme of study, within the appropriate working environments.
This module is a Pass/Fail module so does not contribute to the classification of your degree. When taken and passed, however, the placement is recognised both in your transcript as a 60 credit Work Placement Module and on your degree certificate.
Due to its overall positive impact on employability, degree classification and graduate starting salaries, the University strongly encourages you to pursue a work placement as part of your degree programme.
KL5009 -
MPEE - Study Abroad Semester (Optional,60 Credits)
This module is designed for all standard full-time undergraduate programmes within the Faculty of Engineering and Environment and provides you with the option to study abroad for one semester as part of your programme.
This is a 60 credit module which is available between Levels 5 and 6. You will undertake a semester of study abroad at an approved partner University where you will have access to modules from your discipline, but taught in a different learning culture. This gives you the opportunity to broaden your overall experience of learning. The structure of study will be dependent on the partner and will be recorded for an individual student on the learning agreement signed by the host University, the student, and the home University (Northumbria).
Your study abroad semester will be assessed on a pass/fail basis. It will not count towards your final degree classification but, if you pass, it is recognised in your transcript as an additional 60 credits for Engineering and Environment Study Abroad Semester.
KC6027 -
Fluid Dynamics (Optional,20 Credits)
This module is designed to introduce fundamental concepts in the mathematical area of Fluid Dynamics. You will analyse the equations of continuity and momentum, and will investigate key concepts in this area. We will introduce the Navier-Stokes equations, and case studies will be used to visualise and analyse real-world problems (using appropriate software) as appropriate to delivery of the module. Initially, we will use the inviscid approximation and then utilise analytical and computational techniques to investigate flows. The second half of the module is a specialist course in laminar incompressible viscous flows, encompassing background mathematical theory allied to a case study approach, with solution to problems by both analytical and computational means.
Assessment of the module is by one individual assignment (30%) and one formal examination (70%).
The module is designed to provide you with a useful preparation for employment in an applied mathematical environment, physics environment or engineering environment.
Outline Syllabus
• Introduction of fluid dynamics, Navier-Stokes equations, equations of continuity and momentum for inviscid flow, unsteady one-dimensional flow along a pipe, irrotational flow, Bernouilli's equation, stream function formulation, flow past a cylinder, velocity potential.
• Low Reynolds Number Flow including: (i) lubrication theory, slider bearing, cylinder-plane, journal bearing, Reynolds equation, short bearing approximation; (ii) Flow in a corner, stream function formulation, solution of the biharmonic equation by separation of variables.
• High Reynolds Number Flow including boundary layer equations, skin friction, displacement and momentum thickness, similarity solutions, momentum integral equation, approximate solutions.
KC6028 -
Dynamical Systems (Optional,20 Credits)
The module aims to present an introduction to Dynamical Systems and associated transferable skills, providing the students with tools and techniques needed to understand the dynamics of those systems. You will analyse non-linear ordinary differential equations and maps, focusing on autonomous systems, and will learn analytical and computational methods to solve them. This module offers the additional opportunity of research-orientated learning through a hands-on approach to selected research-based problems.
Topics may include (note this is indicative rather than prescriptive):
1. Autonomous linear systems, fixed points and their classification.
2. 1-dimensional non-linear systems: critical points; local linear approximations; qualitative analysis; linear stability analysis; bifurcations.
3. Multi-dimensional non-linear systems: linearisation about critical points, limit cycles, bifurcations.
4. Discrete systems: maps (such as tent map, logistic map, Henon map, standard map).
5. Numerical schemes for ordinary differential equations, such as the embedded Runge-Kutta method.
6. Numerical applications and programming: generation of the orbit of a map, Lorenz map for a dynamical system, orbit diagrams, cobwebs, simple fractals.
7. Elements of Chaos theory: Lyapunov exponents, sensitive dependence on initial conditions, strange attractors, Hausdorff dimension, self-similarity, fractals.
KC6032 -
Cosmology and Stellar Evolution (Core,20 Credits)
The aim of this module is to develop knowledge of three main areas of astrophysics:
• Stellar evolution (including star formation, supernovae, white dwarfs, neutron stars, black holes)
• Galaxies (including morphology, spectral properties, Hubble classification, gravitational lensing)
• Cosmology (including Hubble’s law, expansion and curvature of the Universe, Inflation, Cosmic Microwave Background).
The student will be introduced to the big questions in astrophysics, including the mysteries of dark matter and dark energy, the hunt for extra-solar planets and gravitational waves, and consider the ultimate fate of our Universe by looking at the curvature and geometry of space-time.
The module will be taught using a mixture of lectures and seminars. It will be assessed by coursework (30%) and formal examination (70%). Exam feedback will provided individually and also generically to indicate where the cohort has a strong or a weaker answer to examination questions. Written feedback will be provided on the coursework. Formative feedback will be provided during the seminars.
Outline Syllabus
Stellar Evolution
Structure and evolution of stars, including formation and fundamental properties, composition, nucleosynthesis, the Hertzsprung-Russell diagram, spectroscopic classification. Extra-solar planets. Star formation, evolution and death, including supernovae, white dwarfs, neutron stars, pulsars and black holes.
Galaxies
The morphology, spectral properties and population groups of galaxies (including elliptical, spiral and stellar nursery). Hubble classification. Review of apparent and absolute magnitudes, Doppler effect and redshifts. The main-sequence mass-luminosity relationship. Clusters, including chemical composition. The Interstellar Medium and the heliopause. Variable stars. Distance to the Galactic Centre. Galaxy formation and evolution. Gravitational lensing and gravitational waves. Dark matter.
Cosmology
Hubble’s law and the expansion of the Universe. Cosmological Principle. Review of the origin of the Big Bang and age of the Universe. Curvature and expansion of the Universe and curved space-time. Cosmic Microwave Background, Inflation. The curved, expanding universe as well as the geometry and ultimate fate of universes. Dark Energy
KC6033 -
Solar Physics (Core,20 Credits)
The aim of this module is to investigate the Sun, our nearest star, as the energy powerhouse of our solar system. You will consider fundamental solar processes, solar radiation and neutrinos, nuclear fusion reactions, the physics of the solar interior and solar atmosphere, the coronal heating problem, sunspots, solar flares and coronal mass ejections, solar wind and space weather, geomagnetic storms and auroras, solar dangers and the Sun-Earth connection.
You will construct and apply mathematical models of the Sun to describe fundamental solar processes and phenomena, including the use of magnetic fluid dynamics and magnetism made visible.
Outline Syllabus
The Sun as a star
Solar radiation, solar constants, spectroscopy of the Sun, the Sun’s place in the Milky Way and universe, nuclear fusion reactions, solar neutrino problem, solar energy transfer, the solar atmosphere, sunspots, solar flares and coronal mass ejections, solar wind and space weather, geomagnetic storms and auroras, solar dangers (including satellites), and the Sun-Earth connection.
The physics of the Sun
Review of magnetism and Maxwell’s equations, fluid description and magnetohydrodynamic (MHD) equations, magnetic induction, magnetic forces (Lorentz force), magnetism made visible, the vector potential, MHD waves (phase and group speeds), Alfvén waves, and mathematical models of the solar wind.
KD6040 -
Individual Physics Project (Core,40 Credits)
The module aims to provide the student, as an individual, an opportunity to carry out an extended study in a specific area of physics, developing the student's ability to work independently and promoting self-reliance. Guidance to source and assess the appropriateness of information is provided by the module.
A key aim is to encourage students to apply theoretical and analytical techniques to problem solve. The module also aims to develop both verbal and written communication skills. The project will provide practical experience of drawing up a project specification defining aims, objectives and identifying an envisaged endpoint. With their supervisor’s guidance, the student will prepare a project plan that includes a Gantt chart, project background and sourcing previous work and associated theory/simulation to assess whether the aims and objectives are achievable and that their theoretical basis is sound.
To meet University requirements and gain practical experience, students must perform a risk assessment to identify potential risks/hazards associated with the project. The student will follow the defined plan to complete the project that will include, for example, experimental investigations and the application of appropriate theory and simulations
Students will be encouraged to monitor their progress based upon the project plan and, where necessary, adjust timescales/objectives. The student will be required to submit a final project report and present the project verbally to the supervisor, second markers and peers. Contact with the supervisor must be maintained on a regular basis to: discuss/assess progress and obtain advice.
KD6041 -
Quantum Devices (Core,20 Credits)
Physicists are increasingly able to exploit quantum mechanical behaviour in new optoelectronic devices that will have a profound impact on our lives. These devices offer unprecedented performance in terms of speed and efficiency. The student will develop knowledge of how these characteristics stem from design at the atomic scale and of the challenges associated with scaling-up for practical applications such as sustainable energy and quantum computing.
Background Quantum Theory
Review of quantum mechanical concepts. Density of states function in one, two and three dimensions. Fermi-Dirac occupation function. Electron gas and the Fermi surface. Band theory of semiconductors and doping. Band structure of important semiconductors.
Low-dimensional Semiconductors
Energy and length scales. Fabrication techniques: top down and bottom up. High electron mobility transistor and the two-dimensional electron gas. Quantum Hall effect. Quantum wires and quantised conductance. Semiconductor quantum dots. Measurement methods for quantum devices.
Quantum Devices
Quantum computing, Quantum cryptography, Single photon and entangled photon emitters, Single electron transistor, Semiconductor quantum dot laser, Quantum cascade laser, Optical cavities, Third generation photovoltaics and quantum efficiency, Light emitting diodes and solid-state lighting, Resonant tunnelling diode, Future opportunities for quantum devices: properties of graphene and graphene-based devices; Scaling up nanotechnology, Sustainability and cost.
KL6068 -
Satellite Systems and Space Environment (Optional,20 Credits)
The module provides students with skills and knowledge to develop scientific and/or electronic systems for space applications. The topics covered are:
The space environment - launch, orbits, rocket equation, drag, radiation, vacuum, thermal gradients.
Satellite systems and system development for space applications - radio communication, ground stations and link budgets, solar power, data processing, Earth observation, optimisation of systems for space, materials choice for space, component characteristics, mechanical and thermal testing.
Product Acceptance and Qualification Assurance for space – industry standards for space-worthy design, functional testing, simulation of operations, verification and validation processes.
Environmental Testing – theory and practice of vibration testing, resonant sweeps, shock tests and random noise tests. Theory and practice of thermal vacuum testing, the effect of vacuum on electronics and thermal cycling. Theory and practice of radiation testing, how radiation effects electronics, how to design to be radiation tolerant, and testing components in the x-ray irradiator.
SE6000 -
Skills for Academic Success in a UK University (Core – for International and EU students only,0 Credits)
You will develop your understanding of academic conventions in UK higher education aligned to your level of study, including expectations around critical analysis, structure, argumentation, evidencing, and referencing. The module focuses on developing communication strategies that will help you express your ideas clearly and coherently in written assignments and spoken activities. You will also reflect on your current academic and language skills and develop strategies for development ahead of your assessments.
More informationKC7017 -
Numerical Solutions of Partial Differential Equations (Core,20 Credits)
You will learn the various numerical techniques used to solve partial differential equations (PDEs). PDEs are widely used to describe phenomena in the natural world as well as in cultured and manufactured reality. These powerful numerical methods often provide the only means to explore and analyse the PDEs. Various methods will be investigated with emphasis on the underlying ideas and principles of each method. This theoretical understanding will be underpinned by practical implementation of the numerical methods throughout the module. This approach will allow you to develop a well-grounded theoretical base as well as the necessary programming skills to implement solutions in real-life situations.
You will become conversant in the classification of PDEs as well as the stability and convergence of numerical schemes. Using this knowledge as a foundation, you will investigate and appraise state-of-the-art numerical methods. These may include but are not limited to
• Finite difference methods
• Finite element methods
• Finite volume methods
• Spectral methods
• Particle methods
KD7030 -
Physics Research Project (Core,60 Credits)
This module provides the student with an opportunity to demonstrate an integrated approach to the application of their specialist knowledge and skills within a physics-based research project supervised by an academic staff member engaged in active research in an area of physics. The student will be provided with an authentic research experience that will prepare them for further academic study or employment.
The student will work on an open-ended research problem focused on a topic at the forefront of physics research. They will gain competence in the use of specialist equipment, analysis techniques, specialist software packages and/or computer programming as required to complete the module. The student will have the opportunity to develop further communication skills through oral presentations and a dissertation. The academic level of the dissertation is aimed at suitability for submission to a peer-reviewed journal.
KL7002 -
Advanced Solar Physics (Core,20 Credits)
This module is designed to provide you with knowledge in special topics in astrophysics at the forefront of the research landscape using a directed learning strategy. The content of the module includes, but is not limited to, theoretical, technical and computational aspects. The module aims at enhancing your skills for independent work, specialist knowledge in astrophysics, critical thinking and appraisal of scientific research outputs.
Outline Syllabus
The content of the coursework will be drawn from areas that map to the research strengths in the Department of Mathematics, Physics, and Electrical Engineering. The following list is indicative, rather than prescriptive, of the special topics (ST) to be covered:
ST1 Observational Spectroscopy
To understand the physical processes in the different layers of the stellar atmospheres, observations are obtained in a broad range of energies and with different observables (i.e., intensity, polarization, magnetic field). The interaction of light with stellar atmospheric plasma will be covered through potential topics such as the theory of radiative transfer and spectral line diagnostics.
ST2 Astrophysical Data Analysis
Introduction to programming language (i.e., Interactive Data Language (IDL), Python) and specialist software (i.e., IDL solarsoft package, R), Solar Satellites and Instrumentation, Data Analysis of Astrophysical Observations (i.e., calibration, noise, statistical methods, time series), The future of Solar Observations.
KL7021 -
Advanced Space Plasmas (Core,20 Credits)
This module is designed to provide you with knowledge in special topics in astrophysics at the forefront of the research landscape using a directed learning strategy. The content of the module includes, but is not limited to, theoretical, technical and computational aspects. The module aims at enhancing your skills for independent work, specialist knowledge in astrophysics, critical thinking and appraisal of scientific research outputs.
Outline Syllabus
The content of the coursework will be drawn from areas that map to the research strengths in the Department of Mathematics, Physics, and Electrical Engineering. The following list is indicative, rather than prescriptive, of the topics to be covered:
Fundamentals of Space Plasmas
Solar System and the Sun-Earth connection, fundamentals of plasma physics, single particle theory, planetary radiation belts and currents, review of magnetohydrodynamics.
Stellar wind-magnetosphere interactions
Review of the solar wind, collisionless shocks, stellar wind-magnetosphere interactions, aurora and particle acceleration. Earth’s magnetosphere will be used a primary example, before applying theories to other planets.
Stellar wind interaction with unmagnetised bodies
Moons, Venus, comets and asteroids.
SE7000 -
Skills for Academic Success in a UK University (Core – for International and EU students only,0 Credits)
You will develop your understanding of academic conventions in UK higher education aligned to your level of study, including expectations around critical analysis, structure, argumentation, evidencing, and referencing. The module focuses on developing communication strategies that will help you express your ideas clearly and coherently in written assignments and spoken activities. You will also reflect on your current academic and language skills and develop strategies for development ahead of your assessments.
More informationTo start your application, simply select the month you would like to start your course.
Page last updated 14/08/26
