Your programme is made up of credits, the total differs on programme to programme.
Semester 2 Credit Value: | 10 |
ECTS Credits: | 5.0 |
European Credit Transfer System | |
To present basic ideas and techniques of variational calculus and Lagrangian dynamics.
Review of standard methods for finding extrema. Definition of, and method for calculating, extremals
(minima/maxima) of functionals. The Euler-Lagrange equation. Classical examples from different disciplines.
Lagrange multipliers. Multiple fields and variables.
The action principle and the Lagrangian, Generalized momenta. Euler angles. Hamiltonian dynamics, with applications to astro- and particle physics.
Category | Activity | Number | Length | Student Hours | Comment |
---|---|---|---|---|---|
Scheduled Learning And Teaching Activities | Lecture | 20 | 1:00 | 20:00 | Formal Lectures |
Guided Independent Study | Assessment preparation and completion | 15 | 1:00 | 15:00 | Completion of in course assessments |
Scheduled Learning And Teaching Activities | Lecture | 5 | 1:00 | 5:00 | Problem Classes |
Scheduled Learning And Teaching Activities | Lecture | 2 | 1:00 | 2:00 | Revision Lectures |
Guided Independent Study | Independent study | 58 | 1:00 | 58:00 | Preparation time for lectures, background reading, coursework review |
Total | 100:00 |
Code | Title |
---|---|
PHY3029 | Variational Methods and Lagrangian Dynamics |
MAS8809 | Variational Methods and Lagrangian Dynamics |
Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Problem Classes are used to help develop the students’ abilities at applying the theory to solving problems.
The teaching methods are appropriate to allow students to develop a wide range of skills, from understanding basic concepts and facts to higher-order thinking.
The format of resits will be determined by the Board of Examiners
Description | Length | Semester | When Set | Percentage | Comment |
---|---|---|---|---|---|
Written Examination | 120 | 2 | A | 80 | N/A |
Module Code | Module Title | Semester | Comment |
---|---|---|---|
Variational Methods and Lagrangian Dynamics | 2 | N/A | |
Variational Methods and Lagrangian Dynamics | 2 | N/A |
Description | Semester | When Set | Percentage | Comment |
---|---|---|---|---|
Prob solv exercises | 2 | M | 5 | Problem-solving exercises |
Prob solv exercises | 2 | M | 5 | Problem-solving exercises |
Prob solv exercises | 2 | M | 5 | Problem-solving exercises |
Prob solv exercises | 2 | M | 5 | Problem-solving exercises |
A substantial formal unseen examination is appropriate for the assessment of the material in this module. The format of the examination will enable students to reliably demonstrate their own knowledge, understanding and application of learning outcomes. The assurance of academic integrity forms a necessary part of programme accreditation.
Examination problems may require a synthesis of concepts and strategies from different sections, while they may have more than one ways for solution. The examination time allows the students to test different strategies, work out examples and gather evidence for deciding on an effective strategy, while carefully articulating their ideas and explicitly citing the theory they are using.
The coursework assignments allow the students to develop their problem solving techniques, to practise the methods learnt in the module, to assess their progress and to receive feedback; these assessments have a secondary formative purpose as well as their primary summative purpose.