RELATIVITY - 2020/1
Module code: MATM060
In light of the Covid-19 pandemic, and in a departure from previous academic years and previously published information, the University has had to change the delivery (and in some cases the content) of its programmes, together with certain University services and facilities for the academic year 2020/21.
These changes include the implementation of a hybrid teaching approach during 2020/21. Detailed information on all changes is available at: https://www.surrey.ac.uk/coronavirus/course-changes. This webpage sets out information relating to general University changes, and will also direct you to consider additional specific information relating to your chosen programme.
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This module introduces the basic concepts and techniques of Einstein’s Special and General Relativity.
GUTOWSKI Jan (Maths)
Number of Credits: 15
ECTS Credits: 7.5
Framework: FHEQ Level 7
Module cap (Maximum number of students): 30
Prerequisites / Co-requisites
MAT1036 Classical Dynamics and MAT2011 Linear PDEs.
This module is divided into three parts:
• Part I: Basics of Special Relativity (such as Minkowski space, Lorentz transformations, and consequences)
• Part II: Basics of semi-Riemannian geometry (such as manifolds, metrics, connections, geodesics, torsion, and curvature)
• Part III: Basics of General Relativity (such as Einstein's field equations, Einstein-Hilbert action, Schwarzschild solution and applications)
|Assessment type||Unit of assessment||Weighting|
|School-timetabled exam/test||In-Semester Test||20|
The assessment strategy is designed to provide students with the opportunity to demonstrate:
That they have learned the basic material in the field, and are able to apply it to examples and problems.
The summative assessment for this module consists of:
• In-Semester Test that constitutes 20% of the final mark;
• Final Examination that constitutes 80% of the final mark.
Formative assessment and feedback:
The students will be given exercise sheets on a regular basis, and it will be suggested that they work through the examples as part of their independent study. This will aid the students with the development of mathematical technique and knowledge. The students will receive feedback on their work in tutorials.
There will be two pieces of unassessed coursework, one early in the semester to help the students prepare for the first in-semester test, the other close to the end of the semester to help them prepare for the second in-semester test. The students will receive detailed feedback on this work in the tutorials.
- The module aims at equipping the students with fundamental knowledge of the concepts of Einstein's theory of gravity.
|001||Demonstrate a thorough understanding of special and general relativity, their postulates and assumptions, and their consequences|
|002||Master all the mathematical tools underlying general relativity such as differential geometry and pseudo-Riemannian geometry, and be able to perform explicit calculations as well as be able to prove basic statements in these areas|
|003||Demonstrate a deep understanding of the mathematical formulation of general relativity including the associated variational principle and be able to derive the Newtonian limit|
|004||Derive solutions of Einstein’s field equations and be able to discuss and analyse in detail their qualitative and quantitative implications for the structure of space-time|
C - Cognitive/analytical
K - Subject knowledge
T - Transferable skills
P - Professional/Practical skills
Overall student workload
Independent Study Hours: 106
Lecture Hours: 33
Tutorial Hours: 11
Methods of Teaching / Learning
The learning and teaching strategy is designed to provide:
• A detailed introduction to Special Relativity, Differential Geometry, and General Relativity
• Experience (through demonstration) of the methods used to interpret, understand and solve problems in Relativity
The learning and teaching methods include:
• 3 x 1 hour lectures per week x 11 weeks interspersed with tutorials when appropriate for 11 weeks, with lecture notes provided;
• Learning is by lectures, exercise sheets and tutorials, coursework, and background reading.
Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.
Reading list for RELATIVITY : http://aspire.surrey.ac.uk/modules/matm060
Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2020/1 academic year.