MAS3805 : Classical Fields
- Offered for Year: 2019/20
- Module Leader(s): Professor Andrew Willmott
- Owning School: Mathematics, Statistics and Physics
- Teaching Location: Newcastle City Campus
|Semester 2 Credit Value:||10|
To introduce the fundamental concepts and governing equations of classical field theory, with special emphasis on electrodynamics.
Classical mechanics of the 18th century has been largely superseded by the ideas of classical field theory. Everything in the physical world, from fundamental particles, to magnetism, light and gravity, is described in terms of a field permeating space and time. The basic ideas of field theory are common to all these applications: moving sources disturb the field, disturbances propagate as waves, and the field reacts back on the sources. The exemplar of field theory is the theory of electric and magnetic fields which forms the core of this module. You will see the power of mathematics in explaining phenomena from electromagnetism and gravity.
Outline Of Syllabus
1. Introduction and revision: Scalar and vector fields; Div, grad, curl and the Laplacian;
Conservative and Solenoidal fields-Poincare Lemma;
Laplace’s equation, Poisson’s equation and the Wave equation.
2. Electrostatics: Coulomb’s Law; Gauss’ Law for discrete charges; Electrostatic potential; Continuous charge distributions.
3. Magnetostatics: Magnetic forces; Electric currents and Ohm’s law; Biot-Savart Law;
Magnetic vector potential.
4. Electromagnetism and waves: Lorentz force law; Displacement currents and electromagnetic induction; Maxwell’s equations;
Plane wave solutions; Permittivity and dispersive waves.
5. Sources: Multivariable Fourier transforms;
Wave equation with sources;
Simple examples with radiating sources.
|Guided Independent Study||Assessment preparation and completion||1||6:00||6:00||Revision for class test|
|Guided Independent Study||Assessment preparation and completion||1||13:00||13:00||Revision for unseen exam|
|Guided Independent Study||Assessment preparation and completion||1||2:00||2:00||Unseen exam|
|Scheduled Learning And Teaching Activities||Lecture||1||1:00||1:00||Class test|
|Scheduled Learning And Teaching Activities||Lecture||3||1:00||3:00||Problem classes|
|Scheduled Learning And Teaching Activities||Lecture||2||1:00||2:00||Revision lectures|
|Scheduled Learning And Teaching Activities||Lecture||25||1:00||25:00||Formal lectures|
|Scheduled Learning And Teaching Activities||Drop-in/surgery||12||0:10||2:00||Office hours|
|Guided Independent Study||Independent study||1||25:00||25:00||Studying, practising, and gaining understanding of course material|
|Guided Independent Study||Independent study||3||3:00||9:00||Review of coursework assignments and course test|
|Guided Independent Study||Independent study||2||6:00||12:00||Preparation for coursework assignments|
Teaching Rationale And Relationship
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. Tutorials are used to identify and resolve specific queries raised by students and to allow students to receive individual feedback on marked work. In addition, office hours (two per week) will provide an opportunity for more direct contact between individual students and the lecturer: a typical student might spend a total of one or two hours over the course of the module, either individually or as part of a group.
The format of resits will be determined by the Board of Examiners
|Written Examination||40||2||M||5||Class test|
|Prob solv exercises||2||M||5||Coursework assignments|
Assessment Rationale And Relationship
A substantial formal unseen examination is appropriate for the assessment of the material in this module. The written exercises are expected to consist of two assignments of equal weight: the exact nature of assessment will be explained at the start of the module. The coursework assignments and the (in class) coursework test 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.