Lecture 1 - Introduction and motivation
Lecture 2 - Dynamics of linear first order autonomous systems
Lecture 3 - Dynamics of linear first order autonomous systems (Continued...)
Lecture 4 - Lumped parameter analysis of cooling of a body
Lecture 5 - Lumped parameter analysis of cooling of a body (Continued...)
Lecture 6 - Introduction to higher order systems
Lecture 7 - Phase plane analysis of linear autonomous second order systems
Lecture 8 - Phase plane analysis of linear autonomous second order systems (Continued...)
Lecture 9 - Analysis of a free spring-mass system
Lecture 10 - Analysis of a free spring-mass system (Continued...)
Lecture 11 - Dynamics of non-autonomous systems
Lecture 12 - Similarity solution for non-autonomous higher order dynamics
Lecture 13 - Similarity solution for non-autonomous higher order dynamics (Continued...)
Lecture 14 - Analysis of a forced spring-mass system
Lecture 15 - Analysis of a forced spring-mass system (Continued...)
Lecture 16 - Phase portraits of linear autonomous systems of order three and higher
Lecture 17 - Phase portraits of linear autonomous systems of order three and higher (Continued...)
Lecture 18 - Analysis of complex reaction systems
Lecture 19 - Analysis of complex reaction systems (Continued...)
Lecture 20 - Analysis of complex reaction systems (Continued...)
Lecture 21 - Introduction to non-linear systems
Lecture 22 - Logistic population growth model
Lecture 23 - Logistic population growth model (Continued...)
Lecture 24 - Logistic population growth with harvesting
Lecture 25 - Logistic population growth with harvesting (Continued...)
Lecture 26 - Logistic population growth with threshold population
Lecture 27 - Logistic population growth with threshold population (Continued...)
Lecture 28 - Analysis of population dynamics in discrete domain
Lecture 29 - Analysis of fixed points and bifurcation in discrete domain
Lecture 30 - Analysis of fixed points and bifurcation in discrete domain (Continued...)
Lecture 31 - More on bifurcations in non-linear systems
Lecture 32 - Non-linear systems in higher dimensions
Lecture 33 - Reactor stability analysis
Lecture 34 - Reactor stability analysis (Continued...)
Lecture 35 - Reactor stability analysis (Continued...)
Lecture 36 - Analysis of infectious disease dynamics
Lecture 37 - Analysis of infectious disease dynamics (Continued...)
Lecture 38 - Analysis of infectious disease dynamics (Continued...)
Lecture 39 - Analysis of atmosphere dynamics using Lorenz equations
Lecture 40 - Analysis of atmosphere dynamics using Lorenz equations (Continued...)
Lecture 41 - Analysis of system dynamics in transform domain
Lecture 42 - Analysis of first order system subjected to ideal forcing functions
Lecture 43 - Analysis of first order system subjected to ideal forcing functions (Continued...)
Lecture 44 - Analysis of response of second order systems
Lecture 45 - Analysis of response of second order systems (Continued...)
Lecture 46 - Analysis of (p,q) order systems
Lecture 47 - Analysis of (p,q) order systems (Continued...)
Lecture 48 - Analysis of multiple input - multiple output systems
Lecture 49 - Block diagrams and inter-conversion of state-space and transform domain models
Lecture 50 - Analysis of inverse response systems
Lecture 51 - Analysis of dynamics of discrete-time systems
Lecture 52 - Sampling and reconstruction of continuous signals
Lecture 53 - Conversion of continuous models to discrete-time models
Lecture 54 - Introduction to z-transforms
Lecture 55 - z-transforms Continued
Lecture 56 - Response of discrete-time systems
Lecture 57 - Response of discrete-time systems (Continued...)
Lecture 58 - Response of discrete-time systems (Continued...)
Lecture 59 - Stability analysis in transform domain
Lecture 60 - Review of the course
