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, Partial Differential Equations & Methods of Solution | ||
Code | MATH282 | ||
Coordinator |
Professor AE Faraggi Mathematical Sciences Alon.Faraggi@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2021-22 | Level 5 FHEQ | First Semester | 7.5 |
Aims |
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• To introduce students to the concepts of scalar and vector fields. |
Learning Outcomes |
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(LO1) Evaluate Grad, Div, Curl and Laplacian operators in Cartesian and polar coordinates |
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(LO2) Evaluate line, double and volume integrals |
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(LO3) Have a good understanding of the physical meaning of flux and circulation |
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(LO4) Be able to solve boundary value problems for partial differential equations |
Syllabus |
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Review of vector calculus: Grad, Div, Curl, Gauss’ theorem, Stokes’ theorem. Maxwell’s equations: in the language of vector calculus, as well as ODEs and PDEs. Advanced applications including derivation of physical laws. Laplace and Fourier transforms to solve ODEs, Fourier series to solve PDEs, central difference numerical integration methods to solve ODEs and PDEs. |
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 |
Final Assessment (open book and remote) One hour time on task There is a resit opportunity. Standard UoL penalty applies for late submission. Assessment Schedule (When) :First Semester | one hour time on tas | 50 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Homework 1 Equivalent to 2-5 sides of A4 | Equivalent to 2-5 si | 10 | ||||
Class Test (open book and remote) Around 60-90 minutes Non-standard penalty applies for late submission - Assessment Schedule (When) :First Semester | Around 60-90 minutes | 20 | ||||
Homework 2 Equivalent to 2-5 sides of A4 | Equivalent to 2-5 si | 10 | ||||
Homework 3 Equivalent to 2-5 sides of A4 | Equivalent to 2-5 si | 10 |