2017/18 Undergraduate Module Catalogue
PHYS2380 Maths 4- Transforms and Partial Differential Equations
10 creditsClass Size: 175
Module manager: Dr Sven Van Loo
Email: s.vanloo@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2017/18
Module replaces
PHYS2170This module is not approved as a discovery module
Objectives
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.
Learning outcomes
Manipulate numerical and other quantitative information, and apply manipulative skills to the solution of problems.
Skills outcomes
Basic mathematical methods needed in all branches of science.
Syllabus
- wave, Laplace, Poisson, diffusion and Schrödinger 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 orthogonal functions;
- solutions of PDEs involving Bessel functions and Legendre polynomials (including orthogonality properties);
- Fourier transforms;
- Dirac delta function
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Example Class | 11 | 1.00 | 11.00 |
| Lecture | 22 | 1.00 | 22.00 |
| Private study hours | 67.00 | ||
| Total Contact hours | 33.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
Private study
Homework assignments: 15 hours;Reading and assimilation: 32 hours
Exam preparation: 20 hours
Opportunities for Formative Feedback
3 homework assignments.Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| Assignment | 3 assignments | 15.00 |
| Total percentage (Assessment Coursework) | 15.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Exams
| Exam type | Exam duration | % of formal assessment |
| Standard exam (closed essays, MCQs etc) | 2 hr 00 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 list
The reading list is available from the Library websiteLast updated: 26/04/2017
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- Undergraduate module catalogue
- Taught Postgraduate module catalogue
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