Topic outline

  • General

  • Course Materials

    • This sheet covers a review of core complex analysis, conformal mapping, and solving Laplace's equation using conformal maps.
      The relevant section of the Lecture Notes is Chapters 1 and 2.
      This material will be covered in Lectures 1-4.
    • This sheet covers fluid flow including free-surface fluid flows and flows in porous media.
      The relevant section of the lecture notes is Chapter 3 (and some of the end of Chapter 2).
      This material will be covered in Lectures 5-8.
    • This sheet covers the Plemelj formulae and applications.
      The relevant part of the lecture notes is Chapter 4.
      This material will be covered in Lectures 9-11.
    • This sheet covers complex transforms and the Wiener-Hopf method.
      The relevant part of the lecture notes is Chapters 5 and 6.
      This material will be covered in Lectures 12-16.