Lecture materials

    Lecture 1 (Jan 5): section 1.1 of ref. 1, chapter I of ref. 3

    Lecture 2 (Jan 7) : section 1.2 of ref. 1

    Lecture 3 (Jan 12): chapters 1-2 of ref. 2

    Lecture 4 (Jan 14): chapters 3-4 of ref. 2

    Lecture 5 (Jan 19): chapters 5-6 of ref. 2

    Lecture 6 (Jan 21): chapters 6-7 of ref. 2

    Lecture 7 (Jan 26): chapters 6-7 of ref. 2, chapters 3-4 of ref. 5

    Lecture 8 (Jan 28): sections 6.4-6.5 of ref. 4, chapter 2 of ref. 5

    Lecture 9 (Feb 2): sections 6.4-6.5 of ref. 4

    Lecture 10 (Feb 4): section 6.7 of ref. 4

    Lecture 11 (Feb 16): section 1.3 of ref. 1

    Lecture 12 (Feb 18): chapter 5 of ref. 3, sections 1.3 and 2.1 of ref. 1

    Lecture 13 (Feb 23): chapter 5 of ref. 3, section 2.1 and chapter 4 of ref. 1

    Lecture 14 (Feb 25): chapter 6 of ref. 3, chapter 10 of ref. 4

    Lecture 15 (Mar 2): chapter 10 of ref. 4

    Lecture 16 (Mar 4): chapter 7 of ref. 3

    Lecture 17 (Mar 9): chapter 8 of ref. 3

    References (on reserve)
  1. "Multiple scale and singular perturbation methods" by J. Kevorkian and J.D. Cole.

  2. "Complex variables and applications" by J.W. Brown and R.V. Churchill.

  3. "Perturbation methods in fluid mechanics" by M. Van Dyke.

  4. "Advanced mathematical methods for Scientists and Engineers" by C.M. Bender and S.A. Orszag.

  5. "Integral transforms and their applications" by L. Debnath and D. Bhatta, available electronically.