51±¬ÁÏÍø

Clearing offers from 56 UCAS tariff points. Subject-specific requirements still apply. See the entry requirements section for details.

Explore the Mathematics behind the Universe

Taking a joint honours in Mathematics and Theoretical Physics at Lincoln allows students to explore the interplay between these two important disciplines, and the ways in which they co-exist and complement each other.

The degree aims to provide a broad education in mathematics. This includes pure and applied mathematics. This is alongside fundamental and applied physics, enabling students to develop the knowledge and problem-solving skills vital to modern science and technology.

This course is designed to provide a thorough foundation in analytical and numerical methods, practical scientific skills, and research techniques. It gives students the opportunity to develop a range of transferable skills, such as communication and problem solving.

The four-year MMath course is designed for those seeking to develop advanced mathematical skills. The first three years are common with the BSc (Hons) Mathematics and Physics degree, while the fourth year offers the opportunity to study more advanced topics in greater depth. This year also includes a significant industrial or academic project.

Taking a joint honours in Mathematics and Theoretical Physics at Lincoln allows students to explore the interplay between these two important disciplines, and the ways in which they co-exist and complement each other.

The degree aims to provide a broad education in mathematics. This includes pure and applied mathematics. This is alongside fundamental and applied physics, enabling students to develop the knowledge and problem-solving skills vital to modern science and technology.

This course is designed to provide a thorough foundation in analytical and numerical methods, practical scientific skills, and research techniques. It gives students the opportunity to develop a range of transferable skills, such as communication and problem solving.

The four-year MMath course is designed for those seeking to develop advanced mathematical skills. The first three years are common with the BSc (Hons) Mathematics and Physics degree, while the fourth year offers the opportunity to study more advanced topics in greater depth. This year also includes a significant industrial or academic project.

Accreditation

Our BSc programme currently meets the educational requirements of the Chartered Mathematician designation. This is awarded by the Institute of Mathematics and its Applications (IMA), when it is followed by subsequent training and experience in employment to obtain equivalent competences to those specified by the Quality Assurance Agency for taught Master’s degrees. The MMath programme is accredited by the IMA.

Institute of Mathematics and its Applications Logo

Why study MMath Mathematics and Theoretical Physics at Lincoln?

✔  51±¬ÁÏÍø two connected subjects together Explore how mathematics and physics complement each other, and how mathematical techniques can be used to understand physical phenomena, modern science, and technology.

✔ Gain an integrated master’s qualification The MMath gives you four years of study, with the opportunity to progress to advanced-level topics and complete a substantial industrial or academic project.

✔ Accredited by professional bodies The programme is accredited by the Institute of Mathematics and its Applications. It is also accredited by the Institute of Physics, supporting eligibility for IOP membership and routes to professional registration.

✔ Develop advanced analytical and numerical skills Build a strong foundation in analytical and numerical methods, practical scientific skills, research techniques, communication, and problem-solving.

✔ Learn through problem-solving and computing Teaching includes lectures, problem-solving classes, computer-based classes, and seminars, helping you apply mathematical and physical ideas in practical ways.

✔ 51±¬ÁÏÍø with research-active academics Teaching is delivered by academic staff who are active researchers in pure and applied mathematics, including algebra and computational mathematics that models real-world problems.

✔ Connect with international research perspectives The School collaborates with research institutions in countries including Australia, Brazil, Europe, South Africa, South Korea, and the USA, supporting a research-driven learning experience.

✔ Hear from guest speakers around the world You may have opportunities to learn from guest speakers from around the world, helping connect your studies with wider scientific and mathematical communities.

✔ Explore placement opportunities Students are encouraged to obtain and undertake work placements independently in the UK or overseas during their studies. These may range from a few weeks to a full year through the sandwich year option, subject to availability and selection criteria.

✔ 51±¬ÁÏÍø in a highly rated subject area The subject area was ranked 1st in the UK for student satisfaction in the Complete University Guide 2025, out of 45 ranking institutions.

Accreditation

This programme is accredited by the Institute of Physics (IOP). Holders of accredited degrees are eligible for IOP membership and can follow a route to professional registration as a RSci, CPhys, and/or CSci.

Institute of Physics Logo

What you'll learn

This course is designed to help you build both mathematical depth and physical understanding. You’ll study the techniques used to explain physical systems while developing practical problem-solving, computing, and research skills.

In your first year, you can study areas including:

  • Algebra
  • Calculus
  • Computer algebra and technical computing
  • Electricity, magnetism, thermal, and quantum physics
  • Geometrical optics, waves, and mechanics
  • Modern astronomy
  • Linear algebra
  • Professional skills and group study

As you progress, you can move into more advanced topics such as:

  • Algebraic structures
  • Differential equations
  • Electrodynamics
  • Industrial and financial mathematics
  • Lagrangian and Hamiltonian mechanics
  • Scientific computing
  • Statistical and quantum physics
  • Numerical methods
  • Quantum mechanics
  • Statistical mechanics
  • Cosmology and general relativity

Throughout the course, you’ll build skills in:

  • Mathematical modelling
  • Analytical reasoning
  • Numerical methods
  • Scientific computing
  • Programming and simulation
  • Research and investigation
  • Scientific communication
  • Teamwork and project work
  • Independent study

By your third year, you’ll complete an advanced project and communication module. This involves an individual project under the supervision of a research-active member of staff and can include engagement with research material and scientific communication.

In the master’s-level year, you’ll undertake a substantial project in modern mathematical, computational, or theoretical physics. Projects are offered across a range of subjects and may be carried out within a school or university research group, or at an external collaborating establishment.

Research-informed Teaching

Teaching on this course is delivered by academic staff who are active researchers in their fields. Our academics conduct cutting-edge research in both Pure and Applied Mathematics, including Algebra through the and Computational Mathematics that models real-world problems. We collaborate with top research institutions in Australia, Brazil, Europe, South Africa, South Korea, and the USA, giving students an international, research-driven learning experience that is embedded at all levels of the programme.

Modules

Module Overview

This module begins with refreshing and expanding some of the material from the A-levels Maths, such as the binomial theorem, division of polynomials, polynomial root-finding, and factorisations. Then the Euclidean algorithm is introduced with some of its many applications, both for integers and for polynomials. This naturally leads to a discussion of divisibility and congruences, for integers and for polynomials, with emphasis on similarities and as a step towards abstraction.

Module Overview

This module focuses on the concepts of the derivative and the Riemann integral, which are indispensable in modern sciences.

Two approaches are used: both intuitive-geometric, and mathematically rigorous, based on the definition of continuous limits. Important results are the Mean Value Theorem, leading to the representation of some functions as power series (the Taylor series), and the Fundamental Theorem of Calculus which establishes the relationship between differentiation and integration. Further calculus tools are explored, such as the general properties of the derivative and the Riemann integral, as well as the techniques of integration. In this module, students may deal with many "popular" functions used throughout mathematics.

Module Overview

This module presents an introduction to computer packages for analytic formulas manipulation (computer algebra) and technical computing. Students will also have the opportunity to develop skills including; utilising a logbook as a factual record and as reflective self-assessment to support their learning.

Module Overview

This module covers basic notions of modern physics. In electricity and magnetism these include Coulomb’s law, electrostatic vector and potential fields, magnetic fields, motion of charges and currents in electromagnetic fields, and the basics of electric circuits. In thermal these include the zeroth, and first and second laws of thermodynamics applied to different model situations. The quantum physics part introduces notions such as the wave-particle duality, the concept of wavefunction, energy quantization, and simple models of the atom.

Module Overview

This module introduces established theories describing optical, acoustic, and mechanical phenomena. The optics part includes Fermat’s principle of light propagation, Snell’s laws of reflection and refraction, thin lenses, and Huygens’s principle. The mechanics part includes the basic mathematical tools to describe the motion of objects (kinematics) and the laws of Newton (dynamics) underpinning these observed motions. The wave part of the module includes a discussion of propagating waves, the Doppler effect, phase and group velocities, and standing waves.

Module Overview

This module aims to introduce fundamental concepts in modern astronomy from planets up to the universe as a whole.

Module Overview

This module describes vector spaces and matrices. Matrices are regarded as representations of linear mappings between vector spaces. Eigenvalues and eigenvectors are introduced, which lead to diagonalisation and reduction to other canonical forms. Special types of mappings and matrices (orthogonal, symmetric) are also introduced.

Module Overview

This module provides students the opportunity to learn a variety of transferable skills: to communicate scientific ideas via a variety of media, to work in groups, to manage and plan projects, to keep record of work.

Students have the opportunity to develop an understanding of general and specialized databases, their uses and searches. Group study can develop Students' skills in team-working around investigating a topic from literature. Students have the opportunity to take on administrative roles within the team and work towards common aims and objectives.

Module Overview

The concepts of groups, rings and fields are introduced, as examples of arbitrary algebraic systems. The basic theory of subgroups of a given group and the construction of factor groups is introduced, and then similar constructions are introduced for rings. Examples of rings are considered, including the integers modulo n, the complex numbers and n-by-n matrices. The ring of polynomials over a given field is studied in more detail.

Module Overview

Calculus techniques already provide solutions of simple first-order differential equations. Solution of second-order differential equations can sometimes be achieved by certain manipulations. Students may learn about existence and geometric interpretations of solutions, even when calculus techniques do not yield solutions in a simple form. This is a part of the existence theory of ordinary differential equations and leads to fundamental techniques of the asymptotic and qualitative study of their solutions, including the important question of stability. Fourier series and Fourier transform are introduced.

This module provides an introduction to the classical second-order linear partial differential equations and techniques for their solution. The basic concepts and methods are introduced for typical partial differential equations representing the three classes: parabolic, elliptic, and hyperbolic.

Module Overview

This modules covers the first established classical theory of fields, namely the theory of electromagnetic fields. After introducing the necessary mathematical tools such as curl, divergence, and gradient, the module discusses the macroscopic and microscopic Maxwell’s equations of electromagnetism as well as their solutions for some model problems in vacuum and in some materials. Topics covered include Gauss’s law, Maxwell’s law of induction, Faraday’s law, time-dependent electromagnetic fields, electromagnetic waves, and dielectric and magnetic materials.

Module Overview

This module aims to provide students with the experience of working as part of a team on a project.

Students will have the opportunity to produce a set of deliverables relevant to their programme of study. Final deliverables will be negotiated between the group and their supervisor, the module coordinator will be responsible for ensuring that each project covers the learning outcomes of the module. Groups are expected to manage their own processes, and to hold regular meetings both with and without their supervisor. Groups will be allocated by the module coordinator and other members of staff. The process of development of the topic under study and the interaction and management of group members underpins the assessment of skills in the module.

Module Overview

Students have the opportunity to learn how mathematics is applied to modern industrial problems, and how the mathematical apparatus finds applications in the financial sector.

Module Overview

This module is concerned with a modern formulation of mechanics called Lagranian mechanics whereby the actually observed motion of an object is viewed as one among many potentially conceivable motions. The selection process of the actual motion satisfies the so-called Principle of Minimum Action. The corresponding formalism allows to tackle very intricate mechanical problems and has many technical advantages with regards to changes of variables. A ‘dual’ theory called Hamiltonian mechanics can also be formalized with its own advantages to address problems in mechanics. These two theories constitute the foundation on which quantum mechanics, statistical and quantum field theories are based. The module delivery includes the Minimum Action Principle, Euler-Lagrange equations, Noether’s theorem, Hamilton’s equations, and Poisson brackets

Module Overview

Students will have the opportunity to utilise computers for the numerical solution and simulation of models of physical and mathematical systems, including the use of computer procedural programming languages to solve computational problems.

Numerical algorithms will be introduced to exemplify key concepts in computational programming, with the emphasis on understanding the nature of the algorithm and the features and limitations of its computational implementation. In creating programs, the emphasis will be on using effective programming techniques and on efficient debugging, testing and validation methods. Students may also develop skills at using a logbook as a factual record and as reflective self-assessment to support their learning.

Module Overview

This module introduces two pillars of modern physics: statistical mechanics and quantum physics. Both theories involve the combination of probability theory and physical concepts. The module will aim to equip students with the tools of probability theory necessary to engage with these two theories. It will then delve into a presentation of classical equilibrium statistical mechanics and the basic principles of quantum physics.

Module Overview

This module provides an opportunity for students in the School of Engineering and Physical Sciences to spend a year abroad at one of the University’s partner institutions. During the year abroad, students share classes with students at their chosen destination and study on a suite of locally delivered modules. This module will extend the length of your programme by one year and is taken between level 5 (year 2) and level 6 (year 3).

Module Overview

This is a triple module in which a student undertakes an individual project under supervision of a research-active member of staff and during which the student is exposed to various research material and undertakes various tasks in relation to scientific communication. The individual project can be undertaken at an external collaborating establishment. Projects will be offered to students in a wide range of subjects aligned with their course specialism. The student will meet regularly with their supervisor in order to receive guidance and review progress.

Module Overview

The aim of the this module is to use appropriate cosmological models to understand the Universe from early to current and late epochs,

Module Overview

The module aims to equip students with knowledge of various numerical methods for solving applied mathematics problems, their algorithms and implementation in programming languages.

Module Overview

This module covers the formalism of quantum mechanics underpinning a substantial part of our current understanding of the microscopic world. Topics covered include commutators, operators and observables, Shrodinger’s equation, Born rule, spin, Hydrogen atom, time-independent perturbation theory, time-dependent perturbation theory, and identical particles.

Module Overview

This module is concerned with bridging a microscopic description of the world (via classical or quantum Hamiltonian mechanics) with a macroscopic description world (via thermodynamics). This is done by considering a probability measure on the space of possible mechanical (micro)states of a system. Topics covered include the basics of probability theory, notions of statistical equilibrium, statistical ensembles (canonical and microcanonical) applied to model systems, thermodynamic potentials and partition functions, and the statistical mechanics of identical particles.

Module Overview

This module gives a mathematical foundation of ideal and viscous fluid dynamics and their application to describing various flows in nature and technology.

Students are taught methods of analysing and solving equations of fluid dynamics using analytic and most modern computational tools.

Module Overview

This module is designed to provide students with an insight into the teaching of Mathematics at secondary school level.

The module aims to provide students with an opportunity to engage with cutting-edge maths education research and will examine how this research impacts directly on classroom practice. Students will have the opportunity to gain an insight into some of the key ideas in Mathematics pedagogy and how these are implemented in the school Mathematics lessons and will develop an understanding about the barriers to learning Mathematics that many students experience.

Module Overview

The module aims to equip students with methods to analyse and solve various mathematical equations found in physics and technology.

Module Overview

This module is designed to provide students with an insight into the teaching of science at secondary school level. The module is particularly aimed at those considering a career in science teaching and provides students with an opportunity to engage with cutting edge science education research and will examine how this research impacts directly on classroom practice.

Students will have the opportunity to gain an insight into some of the key ideas in science pedagogy and how these are implemented in the school science lessons and will develop an understanding about the barriers to learning science that many students experience.

Module Overview

In this quadruple module a student undertakes a substantial project under supervision of a research-active member of staff. Projects will be offered to students in a wide range of subjects, which will be assigned with account for student's individual preferences and programme of their studies. The project can be undertaken at an external collaborating establishment. Students independently conduct a substantial research in modern mathematical, computational or theoretical physics working in a research group of the school, university or an external collaborating establishment.

Module Overview

The module will introduce students to a diverse range of contemporary issues in applied physics which have a high societal impact. Students will work independently on specific subjects of their choice amongst a proposed selection, and will hone their ability to synthetise contrary views from the scientific literature as well as their ability to look at multifaceted problems from multiple vantage points.

Module Overview

The reading module allows students the opportunity to acquire knowledge of a particular area of mathematics, and develop the skills needed to study mathematics in a more independent manner.

The module also provides an opportunity for Master's level students to study certain subjects in mathematics which may not be covered by any regular lecture modules, thus adding to the flexibility of the scheme of studies. Subject areas for proposed reading modules will be announced to students, together with an indicative syllabus. The choice offered will depend on the range of other lecture modules available to MMath students, as well as on the availability of teaching staff with particular areas of mathematical expertise, who could be able to act as moderators. The role of the reading module moderator is to provide students with support for their reading, including the setting of mathematical problems that are to be solved. The moderator also sets the written examination paper.

Module Overview

This module brings together the main ideas and methods of the mathematical theory of financial markets. In addition, the methods of practical calculations of volatilities of traded assets from historical data are discussed. The influence of randomness of the interest rate and volatilities on price of options is studied.

Module Overview

This module introduces modern computational techniques for molecular modelling in condensed matter physics.


† Some courses may offer optional modules. The availability of optional modules may vary from year to year and will be subject to minimum student numbers being achieved. This means that the availability of specific optional modules cannot be guaranteed. Optional module selection may also be affected by staff availability.

Modules

Module Overview

This module begins with refreshing and expanding some of the material from the A-levels Maths, such as the binomial theorem, division of polynomials, polynomial root-finding, and factorisations. Then the Euclidean algorithm is introduced with some of its many applications, both for integers and for polynomials. This naturally leads to a discussion of divisibility and congruences, for integers and for polynomials, with emphasis on similarities and as a step towards abstraction.

Module Overview

This module focuses on the concepts of the derivative and the Riemann integral, which are indispensable in modern sciences.

Two approaches are used: both intuitive-geometric, and mathematically rigorous, based on the definition of continuous limits. Important results are the Mean Value Theorem, leading to the representation of some functions as power series (the Taylor series), and the Fundamental Theorem of Calculus which establishes the relationship between differentiation and integration. Further calculus tools are explored, such as the general properties of the derivative and the Riemann integral, as well as the techniques of integration. In this module, students may deal with many "popular" functions used throughout mathematics.

Module Overview

This module presents an introduction to computer packages for analytic formulas manipulation (computer algebra) and technical computing. Students will also have the opportunity to develop skills including; utilising a logbook as a factual record and as reflective self-assessment to support their learning.

Module Overview

This module covers basic notions of modern physics. In electricity and magnetism these include Coulomb’s law, electrostatic vector and potential fields, magnetic fields, motion of charges and currents in electromagnetic fields, and the basics of electric circuits. In thermal these include the zeroth, and first and second laws of thermodynamics applied to different model situations. The quantum physics part introduces notions such as the wave-particle duality, the concept of wavefunction, energy quantization, and simple models of the atom.

Module Overview

This module introduces established theories describing optical, acoustic, and mechanical phenomena. The optics part includes Fermat’s principle of light propagation, Snell’s laws of reflection and refraction, thin lenses, and Huygens’s principle. The mechanics part includes the basic mathematical tools to describe the motion of objects (kinematics) and the laws of Newton (dynamics) underpinning these observed motions. The wave part of the module includes a discussion of propagating waves, the Doppler effect, phase and group velocities, and standing waves.

Module Overview

This module aims to introduce fundamental concepts in modern astronomy from planets up to the universe as a whole.

Module Overview

This module describes vector spaces and matrices. Matrices are regarded as representations of linear mappings between vector spaces. Eigenvalues and eigenvectors are introduced, which lead to diagonalisation and reduction to other canonical forms. Special types of mappings and matrices (orthogonal, symmetric) are also introduced.

Module Overview

This module provides students the opportunity to learn a variety of transferable skills: to communicate scientific ideas via a variety of media, to work in groups, to manage and plan projects, to keep record of work.

Students have the opportunity to develop an understanding of general and specialized databases, their uses and searches. Group study can develop Students' skills in team-working around investigating a topic from literature. Students have the opportunity to take on administrative roles within the team and work towards common aims and objectives.

Module Overview

The concepts of groups, rings and fields are introduced, as examples of arbitrary algebraic systems. The basic theory of subgroups of a given group and the construction of factor groups is introduced, and then similar constructions are introduced for rings. Examples of rings are considered, including the integers modulo n, the complex numbers and n-by-n matrices. The ring of polynomials over a given field is studied in more detail.

Module Overview

Calculus techniques already provide solutions of simple first-order differential equations. Solution of second-order differential equations can sometimes be achieved by certain manipulations. Students may learn about existence and geometric interpretations of solutions, even when calculus techniques do not yield solutions in a simple form. This is a part of the existence theory of ordinary differential equations and leads to fundamental techniques of the asymptotic and qualitative study of their solutions, including the important question of stability. Fourier series and Fourier transform are introduced.

This module provides an introduction to the classical second-order linear partial differential equations and techniques for their solution. The basic concepts and methods are introduced for typical partial differential equations representing the three classes: parabolic, elliptic, and hyperbolic.

Module Overview

This modules covers the first established classical theory of fields, namely the theory of electromagnetic fields. After introducing the necessary mathematical tools such as curl, divergence, and gradient, the module discusses the macroscopic and microscopic Maxwell’s equations of electromagnetism as well as their solutions for some model problems in vacuum and in some materials. Topics covered include Gauss’s law, Maxwell’s law of induction, Faraday’s law, time-dependent electromagnetic fields, electromagnetic waves, and dielectric and magnetic materials.

Module Overview

This module aims to provide students with the experience of working as part of a team on a project.

Students will have the opportunity to produce a set of deliverables relevant to their programme of study. Final deliverables will be negotiated between the group and their supervisor, the module coordinator will be responsible for ensuring that each project covers the learning outcomes of the module. Groups are expected to manage their own processes, and to hold regular meetings both with and without their supervisor. Groups will be allocated by the module coordinator and other members of staff. The process of development of the topic under study and the interaction and management of group members underpins the assessment of skills in the module.

Module Overview

Students have the opportunity to learn how mathematics is applied to modern industrial problems, and how the mathematical apparatus finds applications in the financial sector.

Module Overview

This module is concerned with a modern formulation of mechanics called Lagranian mechanics whereby the actually observed motion of an object is viewed as one among many potentially conceivable motions. The selection process of the actual motion satisfies the so-called Principle of Minimum Action. The corresponding formalism allows to tackle very intricate mechanical problems and has many technical advantages with regards to changes of variables. A ‘dual’ theory called Hamiltonian mechanics can also be formalized with its own advantages to address problems in mechanics. These two theories constitute the foundation on which quantum mechanics, statistical and quantum field theories are based. The module delivery includes the Minimum Action Principle, Euler-Lagrange equations, Noether’s theorem, Hamilton’s equations, and Poisson brackets

Module Overview

Students will have the opportunity to utilise computers for the numerical solution and simulation of models of physical and mathematical systems, including the use of computer procedural programming languages to solve computational problems.

Numerical algorithms will be introduced to exemplify key concepts in computational programming, with the emphasis on understanding the nature of the algorithm and the features and limitations of its computational implementation. In creating programs, the emphasis will be on using effective programming techniques and on efficient debugging, testing and validation methods. Students may also develop skills at using a logbook as a factual record and as reflective self-assessment to support their learning.

Module Overview

This module introduces two pillars of modern physics: statistical mechanics and quantum physics. Both theories involve the combination of probability theory and physical concepts. The module will aim to equip students with the tools of probability theory necessary to engage with these two theories. It will then delve into a presentation of classical equilibrium statistical mechanics and the basic principles of quantum physics.

Module Overview

This module provides an opportunity for students in the School of Engineering and Physical Sciences to spend a year abroad at one of the University’s partner institutions. During the year abroad, students share classes with students at their chosen destination and study on a suite of locally delivered modules. This module will extend the length of your programme by one year and is taken between level 5 (year 2) and level 6 (year 3).

Module Overview

This is a triple module in which a student undertakes an individual project under supervision of a research-active member of staff and during which the student is exposed to various research material and undertakes various tasks in relation to scientific communication. The individual project can be undertaken at an external collaborating establishment. Projects will be offered to students in a wide range of subjects aligned with their course specialism. The student will meet regularly with their supervisor in order to receive guidance and review progress.

Module Overview

The aim of the this module is to use appropriate cosmological models to understand the Universe from early to current and late epochs,

Module Overview

The module aims to equip students with knowledge of various numerical methods for solving applied mathematics problems, their algorithms and implementation in programming languages.

Module Overview

This module covers the formalism of quantum mechanics underpinning a substantial part of our current understanding of the microscopic world. Topics covered include commutators, operators and observables, Shrodinger’s equation, Born rule, spin, Hydrogen atom, time-independent perturbation theory, time-dependent perturbation theory, and identical particles.

Module Overview

This module is concerned with bridging a microscopic description of the world (via classical or quantum Hamiltonian mechanics) with a macroscopic description world (via thermodynamics). This is done by considering a probability measure on the space of possible mechanical (micro)states of a system. Topics covered include the basics of probability theory, notions of statistical equilibrium, statistical ensembles (canonical and microcanonical) applied to model systems, thermodynamic potentials and partition functions, and the statistical mechanics of identical particles.

Module Overview

This module gives a mathematical foundation of ideal and viscous fluid dynamics and their application to describing various flows in nature and technology.

Students are taught methods of analysing and solving equations of fluid dynamics using analytic and most modern computational tools.

Module Overview

This module is designed to provide students with an insight into the teaching of Mathematics at secondary school level.

The module aims to provide students with an opportunity to engage with cutting-edge maths education research and will examine how this research impacts directly on classroom practice. Students will have the opportunity to gain an insight into some of the key ideas in Mathematics pedagogy and how these are implemented in the school Mathematics lessons and will develop an understanding about the barriers to learning Mathematics that many students experience.

Module Overview

The module aims to equip students with methods to analyse and solve various mathematical equations found in physics and technology.

Module Overview

This module is designed to provide students with an insight into the teaching of science at secondary school level. The module is particularly aimed at those considering a career in science teaching and provides students with an opportunity to engage with cutting edge science education research and will examine how this research impacts directly on classroom practice.

Students will have the opportunity to gain an insight into some of the key ideas in science pedagogy and how these are implemented in the school science lessons and will develop an understanding about the barriers to learning science that many students experience.

Module Overview

In this quadruple module a student undertakes a substantial project under supervision of a research-active member of staff. Projects will be offered to students in a wide range of subjects, which will be assigned with account for student's individual preferences and programme of their studies. The project can be undertaken at an external collaborating establishment. Students independently conduct a substantial research in modern mathematical, computational or theoretical physics working in a research group of the school, university or an external collaborating establishment.

Module Overview

The module will introduce students to a diverse range of contemporary issues in applied physics which have a high societal impact. Students will work independently on specific subjects of their choice amongst a proposed selection, and will hone their ability to synthetise contrary views from the scientific literature as well as their ability to look at multifaceted problems from multiple vantage points.

Module Overview

The reading module allows students the opportunity to acquire knowledge of a particular area of mathematics, and develop the skills needed to study mathematics in a more independent manner.

The module also provides an opportunity for Master's level students to study certain subjects in mathematics which may not be covered by any regular lecture modules, thus adding to the flexibility of the scheme of studies. Subject areas for proposed reading modules will be announced to students, together with an indicative syllabus. The choice offered will depend on the range of other lecture modules available to MMath students, as well as on the availability of teaching staff with particular areas of mathematical expertise, who could be able to act as moderators. The role of the reading module moderator is to provide students with support for their reading, including the setting of mathematical problems that are to be solved. The moderator also sets the written examination paper.

Module Overview

This module brings together the main ideas and methods of the mathematical theory of financial markets. In addition, the methods of practical calculations of volatilities of traded assets from historical data are discussed. The influence of randomness of the interest rate and volatilities on price of options is studied.

Module Overview

This module introduces modern computational techniques for molecular modelling in condensed matter physics.


† Some courses may offer optional modules. The availability of optional modules may vary from year to year and will be subject to minimum student numbers being achieved. This means that the availability of specific optional modules cannot be guaranteed. Optional module selection may also be affected by staff availability.

Support and student experience

51±¬ÁÏÍøing mathematics and theoretical physics can be challenging, especially as you move from school-level study into more advanced mathematical and scientific ideas. 51±¬ÁÏÍø’s teaching approach is designed to help you build confidence as you progress.

You’ll learn through:

  • Lectures
  • Problem-solving classes
  • Computer-based classes
  • Seminars
  • Group project work
  • Individual research projects
  • Small-group tutor sessions in year one

Assessment is varied and can include:

  • Tests
  • Coursework
  • Examinations
  • Written reports
  • Oral presentations

This range of teaching and assessment methods helps you build confidence in both technical understanding and communication. You’ll be encouraged to think independently, work with others, solve problems, and explain complex ideas clearly.

Careers and future opportunities

Mathematics and physics graduates develop analytical, numerical, practical, and research skills that can be valuable across many sectors.

What can you do with a Mathematics and Theoretical Physics degree?

Graduates may go on to careers in areas such as:

  • Science and technology
  • Engineering
  • Computing
  • Medicine
  • Education
  • Consultancy
  • Business and finance
  • Government bodies

The course also supports progression to postgraduate study, particularly for students who want to continue into research or specialist scientific training.

Skills employers value

This course aims to help you develop a strong grounding in analytical and numerical methods, practical scientific skills, and research methods.

You can also build transferable skills such as:

  • Communication
  • Problem-solving
  • Decision-making
  • Research planning
  • Data and numerical analysis
  • Independent working
  • Group project work
  • Technical presentation
  • Scientific writing

These skills are useful in scientific and technical careers, but also in wider roles where employers value evidence-based thinking, logic, analysis, and the ability to solve complex problems.

Placements

Gain hands-on experience in a real workplace and apply your learned skills in a professional setting.

  • Develop practical skills and professional confidence
  • Build your CV before you graduate
  • Explore career options in a real workplace
  • Pay a placement year fee
  • You’ll need to cover travel and living costs

Is this course right for you?

This course could be a good fit if you:

  • Enjoy mathematics and physics
  • Like solving complex problems
  • Want to understand how mathematical ideas explain physical systems
  • Are interested in quantum mechanics, relativity, cosmology, or mathematical modelling
  • Want to develop analytical, numerical, and computational skills
  • Are considering careers in science, technology, engineering, computing, finance, education, consultancy, business, or government

You do not need your future career fully mapped out before applying. This degree is designed to help you develop versatile skills that can open multiple pathways after graduation.

There is a wealth of materials provided by lecturers for independent study, they also show you where to find information beyond the scope of the module if you are interested and want to learn more.

Entry Requirements 2026-27

United Kingdom

112 to 120 UCAS Tariff points.

This must be achieved from a minimum of 2 A Levels or equivalent Level 3 qualifications, to include 40 points from Maths. For example:

A Level: BBC to BBB to include a Grade B in Maths

BTEC qualifications will be considered provided a grade B is obtained in A Level Maths.

T-level will be considered provided a grade B is obtained in A Level Maths.

Access to Higher Education Diploma: 112 to 120 UCAS points to be achieved from 45 Level 3 credits, including 40 points from 15 credits in Maths.

International Baccalaureate: 30 points overall to include a Higher Level in Maths.

GCSE's: Minimum of three at grade 4 or above, which must include English and Maths. Equivalent Level 2 qualifications may be considered.

The University accepts a wide range of qualifications as the basis for entry and do accept a combination of qualifications which may include A Levels, BTECs, Extended Project Qualification (EPQ).

We may also consider applicants with extensive and relevant work experience and will give special individual consideration to those who do not meet the standard entry qualifications.

International

Non UK Qualifications:

If you have studied outside of the UK, and are unsure whether your qualification meets the above requirements, please visit our country pages

/studywithus/internationalstudents/entryrequirementsandyourcountry/ for information on equivalent qualifications.

EU and Overseas students will be required to demonstrate English language proficiency equivalent to IELTS 6.0 overall, with a minimum of 5.5 in each element. For information regarding other English language qualifications we accept, please visit the English Requirements page

/studywithus/internationalstudents/englishlanguagerequirementsandsupport/englishlanguagerequirements/

If you do not meet the above IELTS requirements, you may be able to take part in one of our Pre-sessional English and Academic 51±¬ÁÏÍø Skills courses.

/studywithus/internationalstudents/englishlanguagerequirementsandsupport/pre-sessionalenglishandacademicstudyskills/

If you would like further information about entry requirements, or would like to discuss whether the qualifications you are currently studying are acceptable, please contact the Admissions team on 01522 886097, or email admissions@lincoln.ac.uk

Contextual Offers

At 51±¬ÁÏÍø, we recognise that not everybody has had the same advice and support to help them get to higher education. Contextual offers are one of the ways we remove the barriers to higher education, ensuring that we have fair access for all students regardless of background and personal experiences. For more information, including eligibility criteria, visit our Offer Guide pages. If you are applying to a course that has any subject specific requirements, these will still need to be achieved as part of the standard entry criteria.

Entry Requirements 2027-28

United Kingdom

112 to 120 UCAS Tariff points from a minimum of 2 A Levels or equivalent Level 3 qualifications, to include 40 points from Maths.

If you are eligible for a contextual offer, a one grade or 8 UCAS Tariff point reduction to the standard entry requirements will be applied. Subject specific requirements will still be required as part of the standard entry criteria.

A Level: BBB to include a Grade B in Maths

BTEC qualifications will be considered provided a grade B is obtained in A Level Maths.

T-level will be considered provided a grade B is obtained in A Level Maths.

Access to Higher Education Diploma: 120 UCAS points to be achieved from 45 Level 3 credits, including 40 points from 15 credits in Maths.

International Baccalaureate: 30 points overall to include a Higher Level 5 in Maths.

GCSE's: Minimum of three at grade 4 or above, which must include English and Maths. Equivalent Level 2 qualifications may be considered.


The University accepts a wide range of qualifications as the basis for entry and do accept a combination of qualifications which may include A Levels, BTECs, Extended Project Qualification (EPQ).

We may also consider applicants with extensive and relevant work experience and will give special individual consideration to those who do not meet the standard entry qualifications.

International

Non UK Qualifications:

If you have studied outside of the UK, and are unsure whether your qualification meets the above requirements, please visit our country pages

/studywithus/internationalstudents/entryrequirementsandyourcountry/ for information on equivalent qualifications.

EU and Overseas students will be required to demonstrate English language proficiency equivalent to IELTS 6.0 overall, with a minimum of 5.5 in each element. For information regarding other English language qualifications we accept, please visit the English Requirements page

/studywithus/internationalstudents/englishlanguagerequirementsandsupport/englishlanguagerequirements/

If you do not meet the above IELTS requirements, you may be able to take part in one of our Pre-sessional English and Academic 51±¬ÁÏÍø Skills courses.

/studywithus/internationalstudents/englishlanguagerequirementsandsupport/pre-sessionalenglishandacademicstudyskills/

If you would like further information about entry requirements, or would like to discuss whether the qualifications you are currently studying are acceptable, please contact the Admissions team on 01522 886097, or email admissions@lincoln.ac.uk

Contextual Offers

At 51±¬ÁÏÍø, we recognise that not everybody has had the same advice and support to help them get to higher education. Contextual offers are one of the ways we remove the barriers to higher education, ensuring that we have fair access for all students regardless of background and personal experiences. For more information, including eligibility criteria, visit our Offer Guide pages. If you are applying to a course that has any subject specific requirements, these will still need to be achieved as part of the standard entry criteria.

Fees and Funding

University 51±¬ÁÏÍø is a major investment, so it’s important to understand the costs and support available. A full breakdown of the fees associated with this programme can be found below. Eligible students may be able to access scholarships and bursaries to help with study costs.

Course Fees

Fees and Funding

University 51±¬ÁÏÍø is a major investment, so it’s important to understand the costs and support available. A full breakdown of the fees associated with this programme can be found below. Eligible students may be able to access scholarships and bursaries to help with study costs.

Course Fees

Find out More by Visiting Us

The best way to find out what it is really like to live and learn at Lincoln is to visit us in person. We offer a range of opportunities across the year to help you to get a real feel for what it might be like to study here.

Three students walking together on campus in the sunshine

What You Need to Know

We want you to have all the information you need to make an informed decision on where and what you want to study. In addition to the information provided on this course page, our What You Need to Know page offers explanations on key topics including programme validation/revalidation, additional costs, and contact hours.

What You Need to Know

We want you to have all the information you need to make an informed decision on where and what you want to study. In addition to the information provided on this course page, our What You Need to Know page offers explanations on key topics including programme validation/revalidation, additional costs, and contact hours.

The University intends to provide its courses as outlined in these pages, although the University may make changes in accordance with the Student Admissions Terms and Conditions.