1. Introduction to Systems Elements
2. Differential Equations of Electrical Circuits
3. Differential Equations of Electrical Circuits: Graph Theory I
4. Differential Equations of Electrical Circuits: Graph Theory II
5. Differential Equations by Newton's Method
6. Derivation of The Lagrangian Equation
7. The Law of Least Action
8. Representation of External Forces and e.m.f
9. Representation of Resistive Elements
10. First Order Differential Equations
11. The Hamiltonian Formalism
12. Electromechanical Systems
13. Introduction to Bond Graph Methodology
14. Junctions, Elements and Power Directions
15. Two Port Elements
16. Causality
17. Bond Graphs for Electrical&Mechanical Systems
18. Obtaining Differential Equations from Bond Graphs-I
19. Obtaining Differential Equations from Bond Graphs-II
20. Activation
21. Fields
22. Demonstration of Bond Graph Software
23. Numerical Solutions of Differential Equations
24. Vector Field Around Equilibrium Points-III
25. Vector Field Around Equilibrium Points-IV
26. Higher Dimensional Linear Systems
27. Linear System With External Input-I
28. Linear System With External Input-II
29. Linear Systems With External Input-III
30. Dynamics of Nonlinear Systems I
31. Dynamics of Nonlinear Systems II
32. Dynamics of Nonlinear Systems III
33. Discrete-Time Dynamical Systems I
34. Discrete-Time Dynamical Systems II

This course covers lessons on Newton's method and constraints,bond graph approach,high dimensional linear systems and dynamics of non-linear systems.