MA24L-Differential Equations and Fourier Series
Module Provider: Mathematics
Number of credits: 20 [10ECTS credits]
Level:
I (Intermediate)
Terms in which taught: Autumn, Spring and Summer
Module Convenor: Dr
PG
Chamberlain
Pre-requisites: MA11B and MA11C
Co-requisites:
Modules excluded:
Module version for: 2008/9
Email: p.g.chamberlain@reading.ac.uk
Aims:
To introduce functions of two 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 development of calculus and 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 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.
Partial differential equations are introduced and the main issues connected with them discussed, including characteristics and classification. Second order partial differential equations will be discussed and classified, 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.
Contact hours:
| Autumn | Spring | Summer | |
| Lectures | 20 | 20 | 4 |
| Tutorials/seminars | |||
| Practicals | |||
| Other contact (eg study visits) | 4 | ||
| Total hours | 20 | 20 | 8 |
| Number of essays or assignments | 8 | 8 | 0 |
| Other (eg major seminar paper) |
Assessment:
Coursework:
two pieces of assessed work in each of the autumn and spring terms.
Relative percentage of coursework: 20
Penalties for late submission:
for pieces of work contributing more than 10%, deduction of 10 marks (out of 100) up to one week after the deadline. Therafter a mark of zero.
Examinations:
a three hour exam. This contributes 80% of the overall assessment.
Requirements for a pass:
a mark of 40% overall.
Reassessment arrangements:
re-examination in August/September only.