Definitions, unites, and geometric properties -- Dynamics of particles and bodies -- Natural frequency of spring -- mass systems, pendulums, strings, and membranes -- Natural frequency of beams -- Natural frequency of plates and shells -- Acoustics and fluids -- Forced vibration -- Properties of solids, liquids, and gases -- Approximate methods for natural frequency -- Numerical integration of Newton's Second Law -- Standard octaves and sound pressure -- Integrals containing mode shapes of single-span beams -- Finite element programs