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.



This course is part of the MAGIC core.


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.


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


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


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


  • 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


Alice Thompson
Phone 0161-3068951
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Photo of Saeed Alamry
Saeed Alamry
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Meshari Alesemi
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Eman Aljabali
(East Anglia)
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Jehan Alswaihla
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Mounirah Areshi
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Birzhan Ayanbayev
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Jacob Brooks
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Timothy Burchell
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Matthew Charles
(East Anglia)
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Dario Domingo
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Andrea Foiniotis
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Sara Frecentese
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Afredo Garbuno Inigo
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Dane Grundy
(East Anglia)
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Ying Huang
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Nikolaos Karpathopoulos
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Puneet Matharu
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Marianthi Moschou
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Chinedu Nwaigwe
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Tom O'Neill
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Juliet Ojiako
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Joseph Oloo
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Filippo Pagani
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Antonios Parasyris
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Alex Safar
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Kaicheng Sheng
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Penpark Sirimark
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Ville Syrjanen
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Paul Wileman
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Hanyu Yin
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Rawin Youngnoi
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Daoping Zhang


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


Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will see links to places where you can buy the book. There is also link marked 'Find this book in a library'. This sometimes works well, but not always. (You will need to enter your location, but it will be saved after you do that for the first time.)


The assessment for this course will be via a single take-home paper in April with 2 weeks to complete and submit online. There will be six questions and you will need the equivalent of three questions to pass.

No assignments have been set for this course.

Recorded Lectures

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