Mathematical Physics

Cod y Modiwl
PM26020
Teitl y Modiwl
Mathematical Physics
Blwyddyn Academaidd
2026/2027
Semester
Semester 1
Cyd-gysylltydd y Modiwl
Dr Owen Roberts
Rhestr Ddarllen
Gweld ar Aspire
Rhagofynion
MP10610 neu MT10610
Rhagofynion
FG16210 neu MP11010 neu MT11010
Anghymharus (Unrhyw Flwyddyn Acad)
FG26020
Staff Eraill sy'n Cyfrannu
Dr Owen Roberts
Dr Edwin Flikkema

Dulliau Asesu

Math o Asesiad

Manylion Asesiad

Cyfran
Asesiad Semester Assessments: (2 Tests) 30%
Arholiad Semester Written Examination: 3 Awr 70%
Arholiad Ailsefyll Written Examination: 3 Awr 100%

Canlyniadau Dysgu

Wedi cwblhau'r modiwl dylai'r myfyrwyr fedru:

  1. Express common physical systems and relationships using the mathematical language of vectors, differential equations and Fourier theory.
  2. Use vectors, vector fields, vector algebra and different co-ordinate systems to analyse physical problems in 3-dimensional space.
  3. Evaluate line, surface and volume integrals. Recall and apply the Stokes', Green's and divergence theorems including scale factors.
  4. Recall and apply different methods of solution to various types of differential equations.
  5. Classify, analyse and solve second-order partial differential equations in various physical contexts.
  6. Describe and explain the concepts of Fourier analysis, convolution and correlation and apply Fourier analysis techniques to problems in physical systems.

Disgrifiad cryno

This module develops a variety of mathematical theories: vector analysis, differential equations and Fourier analysis. These are applied to the modelling of, and solution of problems in, a wide selection of physical situations;electrostatics, magnetism, gravitation, mechanics, thermo-dynamics, plasma physics, atmospherics physics and fluid mechanics.

Nod

The module develops a mathematical approach to the modelling of physical systems. It is of fundamental importance for all honours degree schemes in Physics and is appropriate for many honours degree schemes in Mathematics.

Cynnwys

Vector analysis: scalar and vector triple products, eigenvalues and eigenvectors, polar co-ordinates, 3-D scalar and vector fields, gradient, divergence and curl of 3-D fields, vector operators, line integrals, surface integrals.Differential equations: general order ordinary differential equations, simultaneous differential equations, partial differential equations, eigenvalue problems.Fourier analysis: Fourier analysis of signals, complementary parameters (e.g. frequency and time), Fourier transforms.

Sgiliau Modiwl

Math o Sgiliau

Manylion Sgiliau
Addasrwydd a gwydnwch Students will need to manage their time during the weekly workshops.
Cydlynu ag erail Students are encouraged to work together during the workshops.
Cyfathrebu proffesiynol Students are encouraged to work together in a professional manner during workshops.
Datrys Problemau Creadigol This module is about mathematical problem solving. The worksheets consist of problem-solving exercises.
Gallu digidol Students are encouraged to read around the subject via online resources.
Meddwl beirniadol a dadansoddol Students are trained in analysing problems in Physics and Mathematics.
Sgiliau Pwnc-benodol Investigative skills: students are encouraged to research around the subject.The mathematical techniques taught in this module are core for Physics and Mathematics.
Synnwyr byd go iawn Problems in the worksheets are inspired by real-life applications.

Nodau

Mae'r modiwl hwn yn cydymffurfio a FfCChC Lefel 5