Announcements


There will be no lectures in the week commencing Monday 23rd January.
There will be an extra lecture on Monday 30th January at 4pm and on Monday 13th February at 4pm.

Forum

General


This course is part of the MAGIC core.

Description

This course is intended to provide an introduction to the theory of partial differential equations (pdes).
Definitions and examples are given of first, second and higher order pdes and also systems of first order pdes. The focus is on developing practical methods that will be applicable in applied mathematics.

Semester

Spring 2017 (Monday, January 23 to Friday, March 31)

Timetable

  • Mon 15:05 - 15:55
  • Tue 15:05 - 15:55

Prerequisites

No prior knowledge of PDEs is required, but experience with vector calculus and general undergraduate methods courses would be very helpful.

Syllabus

  • Notation, definitions. Symbol of a pde and of systems.
  • Examples from applied mathematics.
  • Method of characteristics for first order PDEs
  • Classification of second order PDEs, and reduction to normal form
  • Wave equation and separation of variables
  • Fourier series and Fourier transforms
  • Sturm-Liouville systems
  • Nonlinear PDEs

Lecturer


Alice Thompson
Email Alice.Thompson@manchester.ac.uk
Phone 0161-3068951
vcard
Photo of Alice Thompson


Students


Photo of Asmahan Alajyan
Asmahan Alajyan
(Leeds)
Photo of Saeed Alamry
Saeed Alamry
(Leicester)
Photo of Meshari Alesemi
Meshari Alesemi
(Loughborough)
Photo of Eman Aljabali
Eman Aljabali
(East Anglia)
Photo of Jehan Alswaihla
Jehan Alswaihla
(Reading)
Photo of Mounirah Areshi
Mounirah Areshi
(Loughborough)
Photo of Birzhan Ayanbayev
Birzhan Ayanbayev
(Reading)
Photo of Jacob Brooks
Jacob Brooks
(Surrey)
Photo of Timothy Burchell
Timothy Burchell
(Surrey)
Photo of Matthew Charles
Matthew Charles
(East Anglia)
Photo of Dario Domingo
Dario Domingo
(Leeds)
Photo of Andrea Foiniotis
Andrea Foiniotis
(Surrey)
Photo of Sara Frecentese
Sara Frecentese
(Liverpool)
Photo of Afredo Garbuno Inigo
Afredo Garbuno Inigo
(Liverpool)
Photo of Dane Grundy
Dane Grundy
(East Anglia)
Photo of Ying Huang
Ying Huang
(Surrey)
Photo of Nikolaos Karpathopoulos
Nikolaos Karpathopoulos
(Southampton)
Photo of Xiao Ma
Xiao Ma
(Loughborough)
Photo of Puneet Matharu
Puneet Matharu
(Manchester)
Photo of Marianthi Moschou
Marianthi Moschou
(Manchester)
Photo of Chinedu Nwaigwe
Chinedu Nwaigwe
(*External)
Photo of Tom O'Neill
Tom O'Neill
(Surrey)
Photo of Juliet Ojiako
Juliet Ojiako
(Loughborough)
Photo of Joseph Oloo
Joseph Oloo
(Keele)
Photo of Filippo Pagani
Filippo Pagani
(Manchester)
Photo of Antonios Parasyris
Antonios Parasyris
(Loughborough)
Photo of Norbert Pintye
Norbert Pintye
(Loughborough)
Photo of Alex Safar
Alex Safar
(Cardiff)
Photo of Kaicheng Sheng
Kaicheng Sheng
(Loughborough)
Photo of Penpark Sirimark
Penpark Sirimark
(Reading)
Photo of Ville Syrjanen
Ville Syrjanen
(Sussex)
Photo of Paul Wileman
Paul Wileman
(Nottingham)
Photo of Hanyu Yin
Hanyu Yin
(Loughborough)
Photo of Rawin Youngnoi
Rawin Youngnoi
(Birmingham)
Photo of Daoping Zhang
Daoping Zhang
(Liverpool)


Bibliography


An Introduction to Partial Differential Equations, 2nd. editionM. Renardy and R.C. Rogers


Note:

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Assessment



No assessment information is available yet.

No assignments have been set for this course.

Recorded Lectures


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