Module manager: Dr Chris Nixon
Email: C.J.Nixon@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2024/25
PHYS2170
This module is not approved as a discovery module
On completion of this module, students will be able to:
- use the method of separation of variables to solve the wave, Laplace, Poisson and diffusion equations with appropriate boundary conditions;
- determine the Fourier series for a given function;
- use Fourier series and Fourier transform methods to solve partial differential equations with several independent variables.
Students will be able to demonstrate knowledge, understanding and application of:
1. appropriate partial differential equations and boundary conditions to model the behaviour of physical systems
2. the method of separation of variables to solve partial differential equations
3. Fourier series and Fourier transform methods to solve partial differential equations
Basic mathematical methods needed in all branches of science.
- Wave, Laplace, Poisson and diffusion equations in relevant physical contexts;
- Formulation of boundary-value problems involving each of the above PDEs;
- Solution of boundary-value problems by separation of variables;
- Fourier series and transforms with their applications to PDEs;
- Dirac Delta function and the convolution theorem;
- Solutions of PDEs involving Bessel functions and Legendre polynomials;
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Lecture | 33 | 1 | 33 |
| Private study hours | 67 | ||
| Total Contact hours | 33 | ||
| Total hours (100hr per 10 credits) | 100 | ||
Homework assignments.
| Assessment type | Notes | % of formal assessment |
|---|---|---|
| In-course Assessment | Regular Homeworks | 20 |
| Total percentage (Assessment Coursework) | 20 | |
Resits will be in standard exam format.
| Exam type | Exam duration | % of formal assessment |
|---|---|---|
| Standard exam (closed essays, MCQs etc) | 2.0 Hrs 30 Mins | 80 |
| Total percentage (Assessment Exams) | 80 | |
Students will have to complete an in-person exam at the end of the module. This will take place during the examinations period at the end of the semester and will be time bound.
The reading list is available from the Library website
Last updated: 29/04/2024
Errors, omissions, failed links etc should be notified to the Catalogue Team