part 1 [mp4 - 18 min] (Preliminary remarks. The method of steps.)
part 2 [mp4 - 43 min] (Formulation of (DDE). Local existence and uniqueness.)
notes [pdf]

part 3 [mp4 - 36 min] (Maximal solutions. Counterexample by Yorke. Quasi-bounded function. Theorem 3.)
notes [pdf]

part 1 [mp4 - 13 min] (Linear DDE: definition, assumptions. Well-posedness: Theorem 4.)
part 2 [mp4 - 16 min] (Variation of constant, fundamental matrix, Theorem 5.)
part 3 [mp4 - 10 min] (Remarks: Riesz Theorem, solution operator.)
notes [pdf]

part 1 [mp4 - 9 min] (Solution semigroup.)
part 2 [mp4 - 13 min] (Lemma 1: generator of the solution semigroup.)
part 3 [mp4 - 19 min] (Theorem 6: spectrum of the generator.)
notes [pdf]

part 1 [mp4 - 12 min] (Further properties of the solution semigroup.)
part 2 [mp4 - 13 min] (Theorem 7: spectrum and growth bound. Linearized stability.)
part 3 [mp4 - 12 min] (Examples. Final remark.)
notes [pdf]

List of definitions and theorems [pdf] (final version)
Classroom notes - complete [pdf].