Week 1: Motivation for the study of process dynamics, State-space domain analysis of linear autonomous first order systems, Lumped parameter analysis of cooling of a body Week 2:Introduction to higher order systems, Phase plane analysis of linear autonomous second order systems, Analysis of a free spring-mass system Week 3:Analysis of dynamics of non-autonomous systems, Similarity solution for non-autonomous higher order dynamics, Analysis of a forced spring-mass system Week 4:Phase plane analysis of linear systems of order three and higher, Analysis of complex reaction systems Week 5:Introduction to non-linear systems, Logistic population growth model, Logistic population growth with harvesting Week 6:Logistic population growth with threshold population, Analysis of population dynamics in discrete domain, Analysis of fixed-points and bifurcation in discrete domai Week 7:Higher order non-linear systems, Bifurcations in higher order non-linear systems, Reactor stability analysis Week 8:Analysis of infectious disease dynamics, Analysis of atmosphere dynamics using Lorenz equations Week 9:Analysis of system dynamics in transform domain - Review of Laplace transforms, Analysis of first order systems subjected to ideal forcing functions, Analysis of response of second order systems Week 10:Analysis of (p,q) order systems, Analysis of inverse response systems Week 11:Analysis of dynamics of discrete-time systems, Sampling and reconstruction of continuous variables Week 12:Response of discrete-time systems, Stability of discrete-time systems
