Applied Mathematics and Physics

Applied Mathematics and Physics at Queen's University Belfast offers a comprehensive and challenging curriculum designed to equip students with deep theoretical knowledge and practical skills in both disciplines. This integrated programme combines foundational concepts in mathematics with core principles of physics, enabling students to develop a versatile skill set applicable to a wide range of scientific and engineering careers. Throughout the course, students engage with advanced topics such as differential equations, computational methods, classical mechanics, electromagnetism, thermodynamics, quantum physics, and mathematical modelling. The programme emphasizes problem-solving, analytical thinking, and the application of mathematical techniques to real-world physical problems, preparing graduates for research, industrial roles, or further study. The course structure includes lectures, laboratory work, group projects, and independent research, fostering collaborative skills and independent learning. Students benefit from state-of-the-art facilities, access to cutting-edge laboratories, and participation in innovative research projects. The curriculum is designed to be flexible, allowing students to tailor their studies with optional modules in areas like computer science, materials physics, or applied mathematics, according to their interests and career objectives. Queen's University Belfast is renowned for its strong emphasis on research-led teaching, ensuring students receive education that is both current and relevant. Graduates of the Applied Mathematics and Physics programme acquire a solid foundation for careers in academia, engineering, information technology, data science, energy, or finance industries. The programme’s focus on both theoretical understanding and practical application makes it ideal for students passionate about exploring the fundamental principles governing natural phenomena while developing skills applicable to technological advancement and innovation. The programme also offers excellent prospects for postgraduate study and research collaborations, contributing to students' professional development and long-term career success.

Detailed Course Facts

• EUR 4160 Year (EEA)
• EUR 13380 Year (Non-EEA)

England, Scotland and Wales £9,000; EU £3,575; International: £11,500

• English

Course Content

Applied Mathematics

Applied Mathematics is concerned with the application of mathematics to the study of the physical universe (including theoretical physics) as well as the social, industrial and commercial world.

Our modules include the study of Newtonian mechanics, the motion of fluids, electromagnetism, wave motion and diffusion processes, the physics of atoms, molecules and nuclei, numerical analysis, financial mathematics, and applications to the commercial world incorporating the methods of operational research. Computers are used to obtain accurate numerical solutions to the mathematical problems involved.

Level 1

Vector Algebra and Dynamics
Waves and Vector Fields

Level 2

Classical Mechanics
Fluid Mechanics and Electromagnetism
Methods of Applied Mathematics
Numerical Analysis

Level 3

Advanced Numerical Analysis
Calculus of Variations and Hamiltonian Mechanics
Dynamical Systems
Electromagnetic Theory
Financial Mathematics
Investigations
Mathematical Modelling in Biology and Medicine
Partial Differential Equations
Quantum Theory
Tensor Field Theory

Level 4

Advanced Mathematical Methods
Information Theory
Practical Methods for Partial Differential Equations
Statistical Mechanics
Theoretical Atomic Structure and Collisions
Project

Pure Mathematics

Pure Mathematics provides the essential theoretical tools used in the increasingly numerate science of today, and is continually developing new ones to solve problems at the forefront of research in many disciplines. At Queen's we offer a wide selection of modules in Analysis, Algebra and Topology - the basic topics common to most degree programmes involving Pure Mathematics in UK universities. Active research links are maintained with other institutions, both at home and abroad.

Level 1

Analysis and Linear Algebra
Numbers, Sets and Sequences

Level 2

Analysis
Complex Variables
Elementary Number Theory
Geometry
Group Theory
Linear Algebra

Level 3

Algebraic Equations
Computer Algebra
Convergence
Metric and Normed Spaces
Ring Theory
Set Theory

Level 4

Algebraic Topology
Functional Analysis
Integration
Mathematical Investigations
Rings and Modules
Topology
Project

Statistics and Operational Research

Statistics is concerned with deriving sound inferences from data. This may be experimental or observational and obtained from investigations of physical or biological phenomena or from the study of the workings of industry, commerce and society. Operational Research deals with the application of scientific method to obtaining the best or most acceptable solutions to the various problems which arise in the organisation and management of complex systems in industry and commerce.

Level 1

Introduction to Probability and Operational Research
Statistical Methods

Level 2

Linear Models
Methods of Operational Research
Statistical Inference

Level 3

Linear and Dynamic Programming
Statistical Data Mining
Stochastic Processes
Survival Analysis for Medicine
Project

Level 4

Statistics Project

MSci Degree

This four-year first degree programme is an extended version of the normal three-year BSc Honours degree, and is aimed primarily at students who intend to make significant use of their subject in their subsequent careers.
Students may register for either the three-year BSc Honours or the four-year MSci programme. Transfers to the MSci are permitted up to the end of Level 2, subject to performance. Progress to Levels 3 and 4 of the MSci is dependent on the student maintaining an approved high standard at Levels 2 and 3 respectively.

Requirements

MSci options

• A-level AAA including Mathematics
  OR
  A* (Mathematics) AB
  *For degrees marked with an asterisk this must include A-level Physics
• Irish Leaving Certificate AAB2B2B2B2 including Higher Level grade A in Mathematics
  *For degrees marked with an asterisk this must include Higher Level Physics grade A

Work Experience

No work experience is required.

Related Scholarships*

• Academic Excellence Scholarship

  "The Academic Excellence Scholarship can provide up to a 50 % reduction in tuition per semester. These scholarships will be renewed if the student maintains superior academic performance during each semester of their 3-year Bachelor programme. The scholarship will be directly applied to the student’s tuition fees."

• Access Bursary

  Bursary for UK students all subjects where the variable tuition fee rate is payable.

• Alumni Bursary

  Alumni Bursary for UK Undergraduate students

* The scholarships shown on this page are suggestions first and foremost. They could be offered by other organisations than Queen's University Belfast.

Applied Mathematics and Physics at Queen's University Belfast offers students a comprehensive and rigorous curriculum that combines the core principles of mathematics and physics to prepare graduates for diverse careers in academia, industry, and research. The program encompasses foundational courses in classical and modern physics, including mechanics, electromagnetism, thermodynamics, quantum physics, and astrophysics, alongside advanced mathematical modules such as calculus, linear algebra, differential equations, and computational mathematics. Students develop strong analytical skills, problem-solving abilities, and quantitative reasoning through laboratory experiments, project work, and collaborative research activities.

The program emphasizes practical experience and experimental techniques, with access to state-of-the-art laboratories for physics experiments and computational facilities for mathematical modeling. Throughout their studies, students are encouraged to engage in research projects, participate in seminars, and attend guest lectures from leading experts in the fields of physics and applied mathematics. This integrated approach aims to foster a deep understanding of physical phenomena and mathematical methods used to describe and analyze complex systems.

Queen's University Belfast is renowned for its research excellence, and students benefit from close interactions with faculty who are active researchers, providing opportunities for mentorship and participation in groundbreaking projects. The curriculum also includes optional modules and interdisciplinary electives, allowing students to tailor their education according to their interests, whether in theoretical physics, computational modeling, or applied mathematics.

The program prepares graduates for careers in scientific research, engineering, data analysis, aerospace, instrumentation, and higher academic pursuits such as postgraduate study or PhD research. Furthermore, Queen's University Belfast supports students’ professional development through internships, industry placements, and networking events designed to enhance employability and facilitate connections with potential employers.

Graduates of Applied Mathematics and Physics at Queen's University Belfast leave equipped with advanced technical skills, a solid theoretical foundation, and practical experience. They are well-positioned to contribute to technological innovations, scientific discoveries, and solving real-world problems across various sectors. The program emphasizes lifelong learning, critical thinking, and adaptability, ensuring students are ready to meet the challenges of an increasingly complex scientific landscape.