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2019/20 Undergraduate Module Catalogue

PHYS2380 Maths 4- Transforms and Partial Differential Equations

10 creditsClass Size: 200

Module manager: Dr Sven Van Loo
Email: s.vanloo@leeds.ac.uk

Taught: Semester 2 View Timetable

Year running 2019/20

Module replaces

PHYS2170

This 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 transforms with their applications to PDEs;
- Dirac Delta function and the convolution theorem;
- Solutions of PDEs involving Bessel functions and Legendre polynomials (including orthogonality properties);

Teaching methods

Delivery typeNumberLength hoursStudent hours
Example Class111.0011.00
Lecture221.0022.00
Private study hours67.00
Total Contact hours33.00
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

Homework assignments.

Methods of assessment


Coursework
Assessment typeNotes% of formal assessment
AssignmentMarked assignments15.00
Total percentage (Assessment Coursework)15.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated


Exams
Exam typeExam duration% of formal assessment
Standard exam (closed essays, MCQs etc)2 hr 00 mins85.00
Total percentage (Assessment Exams)85.00

Students are required to pass all the coursework and exam elements of this module in order to pass the module overall.

Reading list

The reading list is available from the Library website

Last updated: 08/03/2019

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