Lecture 01: Introduction and motivation

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Lecture 02: Dynamics of linear first order autonomous systems

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Lecture 03: Dynamics of linear first order autonomous systems continued

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Lecture 04: Lumped parameter analysis of cooling of a body

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Lecture 05: Lumped parameter analysis of cooling of a body continued

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Lecture 06: Introduction to higher order systems

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Lecture 07: Phase plane analysis of linear autonomous second order systems

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Lecture 08: Phase plane analysis of linear autonomous second order systems continued

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Lecture 09: Analysis of a free spring-mass system

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Lecture 10: Analysis of a free spring-mass system continued...

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Lecture 11: Dynamics of non-autonomous systems

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Lecture 12: Similarity solution for non-autonomous higher order dynamics

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Lecture 13: Similarity solution for non-autonomous higher order dynamics continued

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Lecture 14: Analysis of a forced spring-mass system

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Lecture 15: Analysis of a forced spring-mass system continued

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Lecture 16: Phase portraits of linear autonomous systems of order three and higher

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Lecture 17: Phase portraits of linear autonomous systems of order three and higher continued...

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Lecture 18: Analysis of complex reaction systems

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Lecture 19: Analysis of complex reaction systems continued...

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Lecture 20: Analysis of complex reaction systems continued...

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Lecture 21: Introduction to non-linear systems

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Lecture 22: Logistic population growth model

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Lecture 23: Logistic population growth model continued...

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Lecture 24: Logistic population growth with harvesting

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Lecture 25: Logistic population growth with harvesting continued...

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Lecture 26: Logistic population growth with threshold population

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Lecture 27: Logistic population growth with threshold population continued...

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Lecture 28: Analysis of population dynamics in discrete domain

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Lecture 29: Analysis of fixed points and bifurcation in discrete domain

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Lecture 30: Analysis of fixed points and bifurcation in discrete domain continued...

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Lecture 31: More on bifurcations in non-linear systems

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Lecture 32: Non-linear systems in higher dimensions

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Lecture 33: Reactor stability analysis

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Lecture 34: Reactor stability analysis continued...

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Lecture 35: Reactor stability analysis continued...

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Lecture 36: Analysis of infectious disease dynamics

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Lecture 37: Analysis of infectious disease dynamics continued...

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Lecture 38: Analysis of infectious disease dynamics continued...

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Lecture 39: Analysis of atmosphere dynamics using Lorenz equations

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Lecture 40: Analysis of atmosphere dynamics using Lorenz equations continued...

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Lecture 41: Analysis of system dynamics in transform domain

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Lecture 42: Analysis of first order system subjected to ideal forcing functions

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Lecture 43: Analysis of first order system subjected to ideal forcing functions continued...

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Lecture 44: Analysis of response of second order systems

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Lecture 45: Analysis of response of second order systems continued...

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Lecture 46: Analysis of (p,q) order systems

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Lecture 47: Analysis of (p,q) order systems continued...

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Lecture 48: Analysis of multiple input - multiple output systems

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Lecture 49: Block diagrams and inter-conversion of state-space and transform domain models

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Lecture 50: Analysis of inverse response systems

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Lecture 51: Analysis of dynamics of discrete-time systems

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Lecture 52: Sampling and reconstruction of continuous signals

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Lecture 53: Conversion of continuous models to discrete-time models

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Lecture 54: Introduction to z-transforms

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Lecture 55: z-transforms continued

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Lecture 56: Response of discrete-time systems

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Lecture 57: Response of discrete-time systems continued...

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Lecture 58: Response of discrete-time systems continued...

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Lecture 59: Stability analysis in transform domain

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Lecture 60: Review of the course

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