Further Mathematical Methods (2023-24)

Section outline

• Select section General

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  General

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  • Select activity Announcements

    

    Announcements Forum
  • Select activity Preliminaries

    

    Preliminaries File
  • Select activity Example on page 19

    

    Example on page 19 File
  • Select activity A Vector Field as an extremal in 2D

    

    A Vector Field as an extremal in 2D File
• Select section Course Materials

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  Course Materials

  • Select activity Sheet 1

    

    Sheet 1 Assignment
  • Select activity Sheet 2

    

    Sheet 2 Assignment
  • Select activity Sheet 3

    

    Sheet 3 Assignment
  • Select activity Sheet 4

    

    Sheet 4 Assignment
  • Select activity Problem Sheet 1 (Solutions)

    

    Problem Sheet 1 (Solutions) File
  • Select activity 2024 new version of the lecture notes

    

    2024 new version of the lecture notes File

    This includes 

    (i) an alternative way of looking at the Fredholm alternative for Fredholm integral equations, 

    (ii) some further notes on the pitchfork bifurcation example (example 9 in 2.4.2) in case you dont guess the right scaling expansion,  and 

    (iii) 2D vector fields as extremeals  (with 2 dependent varaibles and 2 independent variables) in section 3.6.