1 Modelling with first-order equations

  1.1 Applying Newton’s law of cooling

  1.2 Modelling electrical circuits

2 Modelling free mechanical oscillations

  2.1 Case 1: No damping

  2.2 Case 2: Light damping

  2.3 Case 3: Heavy damping

3 Modelling forced mechanical oscillations

4 Modelling forces on beams

5 Engineering Example 3

  5.1 Shear force and bending moment of a beam

6 Engineering Example 4

  6.1 Deflection of a uniformly loaded beam