MA20010: Vector Calculus and Partial Differential Equations

Lecturer: Robert Scheichl

This is the home page for the Department of Mathematical Sciences second year course on Vector Calculus and PDEs. The material taught in this course is an essential toolkit in most branches of applied mathematics and will be a prerequisite for most courses in applied mathematics in the following semesters.

This home page will contain lecture notes, handouts and links to web resources.

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Lecture Notes


AIM - Computer Aided Assessment

In this unit, in addition to the usual problem sheets you will also have the opportunity to get additional revison of the course material by doing the online quizzes provided via the AIM computer aided assessment package. This was piloted very successfully last year and you can ask your fellow students in Year 3 about their experiences with it. The feedback was very positive. AIM is a computer aided assessment system developed at universities in Belgium and the UK to enable high-level mathematics assessment on the web. The AIM computer aided assessment system links the MAPLE computer algebra system to a web browser to perform sophisticated evaluation of students' answers. This includes This system has been tested and is also successfully used at other universities in the UK (e.g. Birmingham, York, Sheffield). For more information go to the AIM home page at the University of York. You can also have a look at the following students comments from a survey carried out at the University of British Columbia in Canada.

To use the Bath server please click here. If you have any questions on how to use AIM you can refer to the online help. If you want to use AIM from any computer off-campus you need to create a VPN connection. This is necessary to get through the university firewall and instructions on how to set this up can be found on the following BUCS webpage.

Matlab Codes (Fourier series & PDE solutions)

Here are the Matlab codes I used to visualise the convergence behaviour of Fourier series and the Gibbs' Phenomenon

To get a better (visual) idea of what the solutions to the Laplace Equation, to the Wave Equation and to the Diffusion Equation look like, here are Matlab codes that plot the solutions to Questions 2,3 and 5 of Problem Sheet 10.

Problem Sheets

Last updated 28/02/2008