MA34L-Differential Equations and Fourier Series
Module Provider: Mathematics
Number of credits: 20 [10ECTS credits]
Level:
6
Terms in which taught: Autumn, Spring and Summer
Module Convenor: Dr
CJ
Smith
Pre-requisites: MA11B MA11C
Co-requisites:
Modules excluded: MA24L
Module version for: 2009/0
Email: Calvin.Smith@reading.ac.uk
Aims:
To introduce functions of two or more variables. To introduce first and second order ordinary and partial differential equations and develop some solution methods for these. To introduce Fourier Series and its applications.
Assessable learning outcomes:
By the end of the module students are expected to be able to:
Additional outcomes:
Outline content:
This unit builds on MA11B in its treatment of ordinary differential equations and introduces partial differential equations, in which the function to be determined depends on two or more variables. The course begins with a discussion of functions of two or more variables. The emphasis of most of the course is on methods of solving differential equations and on the issues of existence and uniqueness of solutions. Integral techniques are introduced and discussed.
Partial differential equations are introduced and the main issues connected with them discussed, including characteristics and classification, solution methods depend upon this classification. Fourier Series will be introduced and how it may be used to solve certain partial differential equations.
Brief description of teaching and learning methods:
Lectures supported by problem sheets and tutorials.
Contact hours:
| Autumn | Spring | Summer | |
| Lectures | 20 | 20 | 4 |
| Tutorials/seminars | 4 | 4 | |
| Practicals | |||
| Other contact (eg study visits) | |||
| Total hours | 24 | 24 | 4 |
| Number of essays or assignments | |||
| Other (eg major seminar paper) | 8 x formative | 8 x formative |
Assessment:
Coursework: N/A
Relative percentage of coursework : 0
Examinations
A three hour exam. This contributes 100% of the overall assessment.
Requirements for a pass
A mark of 40% overall.
Reassessment arrangements
Re-examination in August/September only.
Last updated: 23 November 2009