Module Details |
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
Title | FIELD THEORY AND PARTIAL DIFFERENTIAL EQUATIONS | ||
Code | MATH283 | ||
Coordinator |
Prof DI Jack Mathematical Sciences Dij@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2019-20 | Level 5 FHEQ | First Semester | 7.5 |
Aims |
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•To introduce students to the concepts of scalar and vector fields. •To introduce students to some of the basic methods for solving partial differential equations |
Learning Outcomes |
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(LO1) After completing the module, students should be able to: Evaluate Grad, Div, Curl and Laplacian operators in Cartesian and polar coordinates Evaluate line, double and volume integrals Have a good understanding of the physical meaning of flux and circulation Be able to solve simple boundary value problems for the wave equation, diffusion equation and Laplace's equation |
Syllabus |
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Vector Calculus: Revision of partial differentiation; scalar and vector fields; field operators Grad, Div, Curl, and the Laplacian; Line, double, surface and volume integrals (spheres and cuboids only); flux and circulation of vector field, theorems of Gauss and Stokes; potential functions; applications to electromagnetism. Partial Differential Equations: Basic equations of mathematical physics, wave equation, diffusion equation, Laplace's equation; solution by method of separation of variables; calculation of eigenfunctions for simple initial and boundary value problems. |
Recommended Texts |
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Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. |
Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
Programme(s) (including Year of Study) to which this module is available on an optional basis: |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Assessment 2 There is a resit opportunity. Standard UoL penalty applies for late submission. Assessment Schedule (When) :First semester | 2 hours | 80 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Assessment 1 Standard UoL penalty applies for late submission. Assessment Schedule (When) :First semester | Homeworks, and Class | 20 |