# 2020/21 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 (Jan to Jun) View Timetable

Year running 2020/21

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 SchrÃ¶dinger 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

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

 Delivery type Number Length hours Student hours Workshop 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

### Opportunities for Formative Feedback

Homework assignments.

### Methods of assessment

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Coursework
 Assessment type Notes % of formal assessment Online Assessment Online Mid-Term Assessment 30.00 Total percentage (Assessment Coursework) 30.00

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

Exams
 Exam type Exam duration % of formal assessment Online Time-Limited assessment 48 hr 00 mins 70.00 Total percentage (Assessment Exams) 70.00

Students will have to complete an online assessment 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 assessment will not take 48 hours to complete, but students will have a 48 hour time period in which to complete it. Students are required to pass all assessments for this module in order to pass the module overall.

The reading list is available from the Library website

Last updated: 12/10/2020 15:48:24

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