Fundamental Concepts in Mathematical Modelling: Abstraction – linearity and superposition – balance and conservation laws and the system – boundary approach.
Lumped – Element Modeling: Mechanical systems - Translational, rotational. Hydraulic systems. Thermal systems. RLC Electrical Systems.
Modeling of First–order and Second–order Systems: Governing equations for free and forced responses – transient response specifications – experimental determination – Laplace transform. Time Domain, Frequency Domain and State Space.
Frequency response of Linear, Time invariant systems – frequency response of first–order and second–order systems – state space formulations of systems problems relating frequency response to pole location – transient response-poles and frequency response.
Feedback systems: Systems with feedback – block diagrams – properties of feedback systems – relative stability - phase and gain margins.