6.1 The Laplace transform
  6.1.1 The transform
  6.1.2 Existence and uniqueness
  6.1.3 The inverse transform
  6.1.4 Exercises
 6.2 Transforms of derivatives and ODEs
  6.2.1 Transforms of derivatives
  6.2.2 Solving ODEs with the Laplace transform
  6.2.3 Using the Heaviside function
  6.2.4 Transfer functions
  6.2.5 Transforms of integrals
  6.2.6 Exercises
 6.3 Convolution
  6.3.1 The convolution
  6.3.2 Solving ODEs
  6.3.3 Volterra integral equation
  6.3.4 Exercises
 6.4 Dirac delta and impulse response
  6.4.1 Rectangular pulse
  6.4.2 The delta function
  6.4.3 Impulse response
  6.4.4 Three-point beam bending
  6.4.5 Exercises