Chapter 6: The Laplace Transform

• 6.1 Definition of the Laplace Transform (nb pdf)
  
  
  • Biography and portraits of Pierre-Simon Laplace (1749-1827)
  • Wikipedia entry for Pierre-Simon Laplace (1749-1827)
  
  
• 6.2 Solution of Initial Value Problems (nb pdf)
• 6.3 Step Functions (nb html)
  
  
  • Biography and photos of Oliver Heaviside (1850-1925)
  • Wikipedia entry for Oliver Heaviside (1850-1925)
  
  
• 6.4 Differential Equations with Discontinuous Forcing Functions (nb pdf)
• 6.5 Impulse Functions (nb pdf)
  
  
  • Biography and photos of Paul Adrien Maurice Dirac (1902-1984)
  • Wikipedia entry for Paul Adrien Maurice Dirac (1902-1984)
  • Paul Dirac's Nobel Prize lecture on the "Theory of Electrons and Positrons." Dirac shared the 1933 Nobel Prize in Physics with Erwin Schrödinger.
  
  
• 6.6 The Convolution Integral (nb pdf)

Homework Exercises

• Section 6.1, pp. 315--316: 3, 5, 9, 25
• Section 6.2, pp. 324--327: 7, 15, 25, 30
• Section 6.3, pp. 333--335: 5, 13, 21, 27
• Section 6.4, pp. 340--343: 3, 9, 11, 16
• Section 6.5, pp. 348--350: 3, 5, 9, 17
• Section 6.6, pp. 354--357: 5, 9, 15, 19