• Use of symbolic software for illustrating and enhancing the impact of physical parameter changes on solutions.
  
• Multi-scale analysis of engineering problems with physical interpretation of time and length scales in terms of eigenvalues and eigenvectors/eigenfunctions.
  
• Discussion of compartment models for various finite dimensional problems.
  
• Evaluation and illustration of functions of matrices (and use of symbolic manipulation) to solve multi-component diffusion-convection-reaction problems.
  
• Illustration of the techniques and interpretation of solutions to several classical engineering problems.
  
• Emphasis on the connection between discrete (matrix algebra) and continuum.
  
• Physical interpretation of adjoint operator and adjoint systems.
  
• Use of complex analysis and algebra in the solution of practical engineering problems.
  

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