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
Photo of Alice Thompson


Students


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 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 Mousa Huntul
Mousa Huntul
(Leeds)
Photo of Nikolaos Karpathopoulos
Nikolaos Karpathopoulos
(Southampton)
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 Alex Safar
Alex Safar
(Cardiff)
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



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 five questions, each worth 20 marks. You will need to gain at least 50 marks to pass.

MAGIC 058 (PDEs) take home paper 2016

Files:Exam paper
Released: Monday 24 April 2017 (118.2 days ago)
Deadline: Sunday 7 May 2017 (104.2 days ago)


Files


Files marked L are intended to be displayed on the main screen during lectures.

Week(s)File
All_notes_(as at 28 March 2017).pdf
PDE examples 1.pdf
PDE examples 2.pdf
PDE examples 3.pdf
PDE examples 4.pdf
PDE examples 5.pdf
PDE examples 6.pdf
PDE examples 7.pdf
PDE examples 8.pdf
PDE handout 1.pdf
PDE handout 2.pdf
PDE solutions 1 (by ID Abrahams).pdf
PDEs_section_4.pdf
PDEs_section_5.pdf
PDEs_section_6.pdf
PDEs_section_7_part_1.pdf
PDEs_section_7_part_2.pdf
PDE_notes_contents_page.pdf
PDE_notes_section_1_introduction.pdf
PDE_notes_section_2_characteristics_for_first_order_PDEs.pdf
PDE_notes_section_3_part_1_second_order_PDEs_classification_and_canonical_form.pdf
PDE_solutions_2.pdf
PDE_solutions_3.pdf
PDE_solutions_4.pdf
PDE_solutions_5.pdf
PDE_solutions_6.pdf
PDE_solutions_7.pdf
PDE_solutions_8.pdf
Scanned_notes_2017_01_30.pdf
Scanned_notes_2017_01_31.pdf
Scanned_notes_2017_02_06.pdf
Scanned_notes_2017_02_07.pdf
Scanned_notes_2017_02_13.pdf
Scanned_notes_2017_02_14.pdf
Scanned_notes_2017_02_20.pdf
Scanned_notes_2017_02_21.pdf
Scanned_notes_2017_02_27.pdf
Scanned_notes_2017_02_28.pdf
Scanned_notes_2017_03_06.pdf
Scanned_notes_2017_03_07.pdf
Scanned_notes_2017_03_13.pdf
Scanned_notes_2017_03_14.pdf
Scanned_notes_2017_03_20.pdf
Scanned_notes_2017_03_21.pdf
Scanned_notes_2017_03_27.pdf
Scanned_notes_2017_03_28.pdf
Sheet_1_scanned_solutions_to_odd_questions.pdf
0All_notes_(as at 1 February 2017).pdf
0PDE handout 3 Existence_and_uniqueness_for_hyperbolic_IVPs.pdf
0PDE handout 4 Fourier_transform_properties.pdf
0PDE_notes_section_3_part_2_wave_equation_and_separable_solutions.pdf


Recorded Lectures


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