Module Identifier PH26020
Module Title THEORETICAL PHYSICS AND CONCEPTS
Co-ordinator Dr Rudolf Winter
Semester Semester 1
Other staff Dr Rudolf Winter
Pre-Requisite Core Physics at Part 1
Co-Requisite None
Mutually Exclusive None
Course delivery Lecture   30 Hours
Seminars / Tutorials   4 Workshops
Assessment
Assessment TypeAssessment Length/DetailsProportion
Semester Exam3 Hours  70%
Semester Assessment (Example Sheets 1, 2, 3, 4, 5, 6, 7, 8,)  30%

#### Learning outcomes

On successful completion of this module students should be able to:
• Express common physical systems and relationships using the mathematical language of vectors, differential equations,
• Fourier theory and modelling
• Use vectors and vector algebra to solve physical problems in 3-dimensional space and using different co-ordinate systems
• Use different methods of solution for the various types of differential equations and solve simple eigenvalue problems in the physical sciences
• Understand the concepts of Fourier analysis, convolution and correlation and appreciate the role of Fourier analysis in physical systems
• Develop simple models to approximate physical situations
• Understand the difference between the evolution of linear and non-linear systems
• Appreciate the significance of higher order terms and perturbations on the evolution of physical systems and models
•

#### Brief description

Building on Year 1 modules on Theoretical Physics 1 (PH) and on Concepts in Physics 1 (PH), this Year 2 20 credit module develops the theoretical background required by all physics students. A wide variety of problems in Physics can be described and analysed in terms of vector operators, differential equations, Fourier analysis and non-linear systems. By the end of the module the student should be able to express common physical systems and relationships using this mathematical language. Topics covered include scalar and vector triple products, polar co-ordinates, 3-D scalar and vector fields, gradient, divergence and curl of 3-D fields, eigenvalue problems, general order ordinary differential equations, simultaneous differential equations, partial differential equations, Fourier analysis of signals, complementary parameters (e.g. frequency and time), Fourier transforms, power spectra, non-linear equations, chaos theory, modelling techniques. The relevance of the above topics to the physical sciences is illustrated throughout with examples drawn from electrostatics, magnetism, gravitation, mechanics, thermo-dynamics. plasma physics, atmospheric physics and fluid dynamics

Books
** Supplementary Text
M.L Boas Mathematical Methods in the Physical Sciences Wiley