MPhys (Hons) Mathematics and Physics Integrated Master's degree at the University of Surrey

This module introduces students to the most important techniques in Calculus. In particular, the module leads to a deeper understanding of the concepts of differentiation and integration. These concepts provide fundamental tools for quantitative descriptions of the real world across the entirety of applied mathematics. Tools and methods for differentiation and integration will be presented in detail. In addition, simple first and second order ordinary differential equations will be studied. Such

This module combines an introduction to abstract algebra and methods of proof, with an introduction to vectors and matrices with applications to algebraic and geometric problems. This module is fundamental to subsequent modules including MAT1034 Linear Algebra and MAT2048 Groups & Rings.

This module covers some of the fundamental principles in classical physics including a discussion of units of measurement, the kinematics and dynamics of objects and conservation laws. This material revises and builds upon concepts that are first encountered in the A-level physics course and the study of mechanics as part of A-level mathematics.

This module covers introductory concepts of simple harmonic motion and waves, drawing on and bringing together examples from different branches of physics including mechanics, optics, electronics, and electromagnetism. Some of these concepts will build upon examples that may have been encountered as part of the Physics A-level material but others are new. It combines the mathematical description, physical interpretation as well as experiments and their analysis of oscillations and wave phenomena

This module is an introduction to Linear Algebra, a fundamental mathematical discipline that revolves around the exploration of vector spaces as well as linear maps between these spaces. This often necessitates the solution of systems of linear equations, which are elegantly described by matrices and vectors. Techniques from Linear Algebra find application in numerous disciplines ranging from pure and applied mathematics to many fields of science, engineering, computing and economics. This modul

This module will introduce the classical physics that is relevant to gases and condensed matter, making use of the thermodynamic equations of state. The emphasis will be on the structure of matter and its relationship to mechanical and thermal properties, such as elasticity and thermal expansivity. Laws of classical thermodynamics will be introduced. The module will prepare the student for the study of solid state physics and advanced thermodynamics at Level FHEQ 5.

This module identifies the new theories necessary to describe physical processes when we go beyond the normal speeds and sizes experienced in everyday life. A review of new phenomena that led to the development of quantum theory follows naturally into an introduction to the theory of atomic structure. Along the way, the Schrödinger equation is introduced and elementary applications are considered. Several important aspects of the structure and spectroscopy of atoms are considered in detail. The

Programming is a companion to the modern mathematician and provides a means to tackle and provide insight into problems which are insoluble by analytical means alone. This module will first develop core programming capability and knowledge of fundamental aspects of programming, including loops, functions and conditional statements. Building on these foundations, the module will then cover aspects of the analysis and visualisation of data, including linear regression to model and interpret quanti

This module builds on the differential equation aspects of the Level 4 modules Calculus and Linear Algebra and considers qualitative and quantitative aspects of Ordinary Differential Equations.

The Quantum Physics course focuses on the basic formalism of quantum mechanics, its physical interpretation and its application to simple problems. The emphasis is on elementary (one-dimensional) quantum physics, including the infinite-potential well, the parabolic well, one-dimensional step and barrier potentials.

This module is an introduction to the theory of complex functions of a complex variable, also known as complex analysis. We will study the continuity and differentiability of complex functions, integration along paths on the complex plane, Taylor and Laurent series expansions of complex functions with isolated singularities, and residue calculus and its applications. Complex analysis and residue calculus are widely used in many branches of Mathematics and Physics. This module builds on material

The module will introduce the physical significance and the mathematical methods (and selected theorems) of the operators of vector calculus: div, grad and curl in different co-ordinate systems. The module will introduce the partial differential equations of mathematical physics and their solution for selected physical systems involving different co-ordinate systems and involving time. The module will introduce the foundations of electromagnetism, up to Gauss' Law and Laplace's equation, as a ma

When an analytical approach is not known or practical for solving a mathematical problem, which is the case for most real-world problems, a numerical approach can be useful in finding approximate solutions that are as close as possible to the exact one. This module introduces a selection of numerical methods for the solution of systems of linear and nonlinear equations.