Introduction, Systems with single degree of freedom (SDOF) - equation of motion - Analysis of free Vibration - Response of harmonic, impulsive, periodic and general dynamic loading, free and Forced Vibration response of MDOF damped and undamped discrete systems -Equations of motion Evaluation of natural frequencies and modes -Approximate methods, Overview of dynamics of distributed parameter- systems Flexural beams shear beams - columns, Base Excited systems - formulation of equations for SDOF & MDOF systems - concepts of spectral quantities and Response spectrum - Fundamentals of Earthquake Engineering, computational and numerical methods- Solution of eigenvalue problems- Mode superposition method & Modal truncation errors- Modal Acceleration method, Direct Integration methods - Explicit and Implicit methods. Overview of random vibration.