2019/20 Undergraduate Module Catalogue
MATH2375 Linear Differential Equations and Transforms
15 creditsClass Size: 340
Module manager: Professor Alexander Mikhailov
Taught: Semester 2 View Timetable
Year running 2019/20
Pre-requisite qualifications(MATH1012 or MATH1400) and MATH2365, or equivalent.
This module is approved as a discovery module
Module summaryThis module introduces a variety of techniques for the solution, subject to suitable boundary and initial conditions, of the basic Partial Differential Equations of mathematical physics, which describe such ubiquitous phenomena as waves and diffusion.
ObjectivesOn completion of this module, students should be able to:
a) obtain power series solutions of 2nd order homogeneous linear Ordinary Differential Equations;
b) put a 2nd order linear differential operator into Sturm-Liouville form and use recursive procedures to find families of orthogonal eigenfunctions;
c) solve the standard Partial Differential Equations of mathematical physics in Cartesian or (2D or 3D) polar coordinates subject to given boundary conditions by the method of separation of variables;
d) use Fourier series and Fourier transform techniques to solve a range of initial boundary value problems for linear Partial Differential Equations.
Power series solution of Ordinary Differential Equations. Inner products and Sturm-Liouville operators and orthogonality of eigenfunctions. Bessel and Legendre functions, their basic properties and application. Fourier series and transforms, with applications to initial boundary value problems. Separation of variables, applied to the standard Partial Differential Equations of mathematical physics.
|Delivery type||Number||Length hours||Student hours|
|Independent online learning hours||7.00|
|Private study hours||100.00|
|Total Contact hours||43.00|
|Total hours (100hr per 10 credits)||150.00|
Private studyStudying and revising of course material.
Completing of assignments and assessments.
Opportunities for Formative FeedbackRegular examples sheets.
Methods of assessment
|Assessment type||Notes||% of formal assessment|
|Total percentage (Assessment Coursework)||15.00|
There is no resit available for the coursework component of this module. If the module is failed, the coursework mark will be carried forward and added to the resit exam mark with the same weighting as listed above.
|Exam type||Exam duration||% of formal assessment|
|Standard exam (closed essays, MCQs etc)||2 hr 30 mins||85.00|
|Total percentage (Assessment Exams)||85.00|
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Reading listThe reading list is available from the Library website
Last updated: 20/03/2018
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