University of York

University of York

Master of Math and Physics Honours in Mathematics and Physics

The Master of Math and Physics Honours in Mathematics and Physics in Mathematics is offered by University of York.

Program Length: 4 YEARS.

Master of Math and Physics Honours in Mathematics and Physics offered by the University of York

"The book of nature is written in the language of mathematics" - Galileo Galilei


Mathematics and Physics are natural subjects to combine at university. Comprehending high-level physics requires a strong mathematical foundation. Mathematical models are developed to explain our observations of the physical world.

The integrated programme gives you access to the combined expertise of the Departments of Physics and Mathematics. Our specialist teaching emphasises the mathematical structure of physical theory, providing a strong basis on which to build a comprehensive understanding of modern physics.

You'll work with dedicated staff, all of whom are engaged in current research and many are world leaders in their field. You will benefit from training in cutting-edge mathematical and theoretical physics techniques, and use these to probe the nature of physical reality and push the boundaries of research.

Accreditation
The MPhys degree is accredited by the Institute of Physics (iop.org) and the MMath by the Institute of Mathematics and its Applications (ima.org.uk), guaranteeing the standard of our teaching and learning. Completing this degree will put you on track to becoming a Chartered Physicist or Chartered Mathematician.

Course content
Your studies will be split fairly evenly between the Departments of Physics and Mathematics.

In mathematics you'll explore areas such as dynamical systems, nonlinear dynamics and fluid mechanics. These modules, taught by mathematical physicists will provide you with rigorous training in underlying theory, allowing for greater concentration on your fundamental mathematics.

As your studies progress, you will complete a thorough grounding in physical knowledge, scientific principles and methods. Core modules will give you a comprehensive understanding of fundamental physics, while optional modules in your third and fourth year allow you to investigate favourite topics in further depth.

Study abroad
There are opportunities for you to spend time abroad during your course:
Explore global opportunities

Year 1
Year 1 emphasises core material to consolidate your existing knowledge and prepare you for more advanced study.

Mathematics
Core modules
Algebra (20 credits)
Calculus (30 credits)
Mathematical Skills I (10 credits)

Physics
Core modules
Classical Mechanics and Relativity with Professional Skills (20 credits)
Electromagnetism, Waves and Optics (20 credits)
Introduction to Thermal and Quantum Physics (20 credits)

Academic integrity module
In addition to the above you will also need to complete the online Academic Integrity module.

Year 2
In Year 2 you'll deepen your understanding of fundamental laws, processes and techniques.

Mathematics
Core modules
Applied Mathematics for Mathematics and Physics (20 credits)
Functions of a Complex Variable (10 credits)
Linear Algebra (10 credits)
Mathematical Skills II (10 credits)
Vector Calculus (10 credits)

Physics
Core modules 
Electromagnetism and Optics (20 credits)
Quantum Physics II (20 credits)
Thermodynamics and Solid State I (20 credits)

Year 3
Year 3 introduces some advanced concepts, building on the expertise you've developed. Optional modules give you the chance to delve deeper into your favourite topic, or discover a new area of advanced physics or mathematics.

Mathematics
Option modules
Choose 60 credits from:

Complex and Asymptotic Methods (10 credits)
Classical and Biological Fluid Dynamics (10 credits)
Differential Geometry (10 credits)
Dynamical Systems (10 credits)
Fundamentals of Fluid Dynamics (10 credits)
Mathematical Ecology and Epidemiology (10 credits)
Modelling with MATLAB (10 credits)
Numerical Analysis (20 credits)
Partial Differential Equations I (10 credits)
Partial Differential Equations II (10 credits)
MMath Group Project (20 credits)

Physics
Core modules
Statistical Mechanics and Solid State II (20 credits)

Option modules
Choose 40 credits from:

Advanced Theoretical Techniques (10 credits)
Atomic Physics and Lasers  (10 credits)
Cosmology (10 credits)*
Galaxies and the Interstellar Medium and Cosmology (20 credits)*
Introduction to Plasma Science and Technology (10 credits)
Introduction to Quantum Computing (10 credits)
Magnetic Materials and Technology (10 credits)
Medical Physics (10 credits)
Modern Optics (10 credits)
Nanoscale (10 credits)
Particle Physics (10 credits)
Quantum Physics III (20 credits)
Relativity (10 credits)
The Physics of Stars (10 credits)
* - Cosmology cannot be taken with Galaxies and the Interstellar Medium and Cosmology

Year 4
The fourth year consists of a number of advanced option modules, providing you with the opportunity to specialise further. You'll apply the core knowledge you've developed over the previous years to topics aligned with our internationally-recognised research groups.

You'll undertake a major research project under the supervision of an academic member of staff with expertise in the area you choose to focus on. You'll conduct original research to reach new conclusions and, at the highest levels, contribute to our understanding of physics.

MMath or MPhys project
MMath Project (40 credits)
MPhys Project (60 credits)
You'll choose a project focusing either on maths or physics. Our students widely acknowledge the final project as one of the most satisfying and rewarding parts of the course. You'll undertake independent research to investigate a current problem in the field, or bring new perspectives to a familiar topic. You may need to design, build and evaluate equipment for a specific experimental purpose.

Recent projects have included:

Shape coexistence in thallium and bismuth isotopes studied by laser spectroscopy
Exploring Exotic Nuclear Shapes and Structures
Nuclear Instrumentation Solutions for Industry
Construction of a polarised TIRF microscope to probe membrane diffusion
Exotic nuclei studied with knockout and fragmentation reactions
Strain control of a magnonic crystal
You'll be supported by a professional skills module to hone your research techniques. You'll undertake a literature survey, write a review essay, develop a project plan and give oral and poster presentations in an end-of-year conference.

Mathematics
Option modules
Choose four mathematics modules from:

Advanced General Relativity (10 credits)
Advanced Quantum Field Theory (10 credits)
Applications of Group Theory in Virology (10 credits)
General Relativity (10 credits)
Mathematical Ecology and Epidemiology (10 credits)
Modelling with MATLAB (10 credits)
Quantum Field Theory (10 credits)
Quantum Information (10 credits)
Riemannian Geometry (10 credits)
Soft Matter in Physics and Biology (10 credits)

Physics
Option modules
If you take the MMath project, choose 40 credits of physics modules;
if you take the MPhys project, choose 20 credits of physics modules, from:

Advanced High Performance Computing (10 credits)
Advanced Plasma Physics (20 credits)
Advanced Quantum Mechanics (10 credits)
Biophysics (20 credits)
From Subatomic Physics to Astrophysics (20 credits)
Further Quantum Mechanics (10 credits)
High Performance Computing (10 credits)
Laser and Atom-light Interactions (10 credits)
Nanomaterials: from Graphene to Spintronics (20 credits)
Physics and Applications of Semiconductor Devices (10 credits)



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