The course initially develops a foundation in analyzing elementary single and two degree of freedom systems subjected to natural and various types of forced motion. Then using this foundation, multi-degree of freedom systems are investigated for both natural and forced motion. Modeling, damping, resonance, force transmissibility and modal analysis are discussed. Emphasis is placed on practical vibrations problems in several engineering fields. Design problems provide the opportunity to apply principles taught in the classroom to realistic problems encountered by practicing engineers. In class demonstrations supplement the theory development.