Basic Definitions and Notions

• variable transforms and scalings do not affect solvability
• DAEs <-> (E, A) matrix pairs
• canonical forms – Kronecker canonical form – canonical form of a linear DAE with constant coefficients
• Regularity and Solvability
• Weierstrass canonical form

Lecture 3.1

• Chapter 3 in the script
• The whiteboard notes

Lecture 3.2

• Chapter 3.2 in the script
• The whiteboard notes

Existence and Representation of Solutions

Lecture 3.3

• Chapter 3.3
• The whiteboard notes

📒 Exercise 1

• Exercise sheet 1
• My casual whiteboard notes

Lecture 3.4

A variation of parameters formula for linear DAEs with constant coefficients.

• Chapter 3.5
• The whiteboard notes