Advanced Partial Differential Equations

Module overview

Partial Differential Equations (PDEs) occur frequently in many areas of mathematics. This module extends earlier work on PDEs by presenting a variety of more advanced solution techniques together with some of the underlying theory.

Linked modules

Prerequisites: MATH2015 OR MATH2038 OR MATH2047 OR MATH2048

Learning and Teaching

Teaching and learning methods

Teaching methods include: • 12 tutorials in the form of problem classes • Summary lecture notes, solutions to problems and mock examination paper available on the Blackboard site for the module • Chalk and talk lectures Learning activities include: • Individual Study • Working through problems set in lecture notes at the end of each chapter • Working through mock exam paper and the coursework assignment

Study time
Type	Hours
Independent Study	102
Tutorial	12
Lecture	36
Total study time	150

Resources & Reading list

General Resources

Lecture notes. The module is based on summary lecture notes which are provided. There is no recommended book, but some suggestions are contained in an information sheet handed out at the start of the module and available on blackboard.

Textbooks

LEVEQUE R.. Numerical Methods for Conservations Laws.

STRAUSS W.. Partial differential equations.

OCKENDON J, HOWISON S, LACEY A & MOVCHAN A. Applied Partial Differential Equations.

HOWISON S.. Practical Applied Mathematics.

Assessment

Summative

This is how we’ll formally assess what you have learned in this module.

Breakdown
Method	Percentage contribution
Written exam	60%
Coursework	40%

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.

Breakdown
Method	Percentage contribution
Written exam	100%

Repeat

An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.

Breakdown
Method	Percentage contribution
Examination	100%

Repeat Information

Repeat type: Internal & External