Chapter 1. The Theory of Complex Variables 2. Linear Differential Equations 3. Linear Algebraic Equation Determinants and Matrices 4. Laplace Transforms 5. Oscillations of Linear Lumped Electrical Circuit 6. Oscillations of Linear Mechanical Systems 7. The Calculus of Finite Differences and Linear Difference Equations with Constant Coefficients 8. Transfer Functions and Impulse Responses 9. Laplace s Equation 10. The Solution of Two Dimensional Potential Problems by the Method of 11.The Equation of Heat Conduction or Diffusion 12. The Wave Equation 13. Operational Methods in Applied Mathematics 14. Approximate Methods in Applied Mathematics 15. The Analysis of Nonlinear Systems 16. Statistics and Probability