Supplementary Applied Mathematics (2022-23)

Section outline

• Select section General

  General

  Collapse all Expand all

  • Select activity Announcements- Times of the MMSC MSc intercollegiate classes - SUBMISSION DEADLINE: Thursdays 2pm Weeks 2, 3, 4, 5

    

    Announcements- Times of the MMSC MSc intercollegiate classes - SUBMISSION DEADLINE: Thursdays 2pm Weeks 2, 3, 4, 5 Forum
  • Select activity Discussion Forum

    

    Discussion Forum
  • Select activity Question Sheet 3, Q2() - HINT

    

    Question Sheet 3, Q2() - HINT Forum

    Dear All

    Here's a hint re how to proceed with Q2(b) on Question Sheet 3

    In part (a), you use variation of parameters to construct expression for greens function (as per Equation (2)). Based on lecture notes, you can derive an alternative representation for the greens function (as an eigenfunction expansion) - we did this in the lectures. To prove their equivalence, take the expression for the greens function from part (a) and derive eigenfunction expansion for it. After some algebra, you should recover expression from lecture notes.

    Hope this helps.

    Helen

• Select section Course Materials

  Course Materials

  • Select activity Lecture notes (2022)

    

    Lecture notes (2022) File

    detailed notes which support the lectures

  • Select activity Section 2.4: Extra notes for worked example

    

    Section 2.4: Extra notes for worked example File
  • Select activity Problem Sheet 1 (2022)

    

    Problem Sheet 1 (2022) File

    Problem sheet 1 relates to material on eigenfunction expansions that will be covered in week 1 (ie lectures 1 and 2).
    

  • Select activity Problem Sheet 2 (2022)

    

    Problem Sheet 2 (2022) File

    Problem sheet 2 relates to Sturm-Liouville theory and point sources. This material will be covered during lectures 3 and 4 in week 2.
    

  • Select activity Problem Sheet 3 (2022)

    

    Problem Sheet 3 (2022) File

    Problem sheet 3 focuses on Green's functions and supports lectures 5 and 6 in week 3.
    

  • Select activity Problem Sheet 4 (2022)

    

    Problem Sheet 4 (2022) File

    Problem sheet 4 focussed on distributions and supports the material covered in lectures 7 and 8, during week 4. 
    

  • Select activity Problem Sheet 1

    

    Problem Sheet 1 Assignment
  • Select activity Problem Sheet 2

    

    Problem Sheet 2 Assignment
  • Select activity Problem Sheet 3

    

    Problem Sheet 3 Assignment
  • Select activity Problem Sheet 4

    

    Problem Sheet 4 Assignment