Mechanical & Industrial Engrg 697DW - ST- Dynamics of Waves

The course introduces the concept of waves in materials and fluids. The first part of the course is an introduction to boundary value problems and to waves in materials and acoustic waves. The second part is devoted to hydrodynamics and waves in the ocean. Introduction to partial differential equations and boundary value problems; Wave equation; waves in strings and membranes; elastic waves in materials; acoustic waves in fluids; hydrodynamics of water waves; linear and nonlinear wave theories; refraction and diffraction; random waves; breaking waves and solitons. The 600 level of this course has the expectation of a higher level of understanding of the material, and will have an additional assessment of the advanced topics of the course syllabus. This assessment would either be a few extra sections in some of the homework or a separate assessment of the advanced topics, which appear in the middle of the course and in the end of the course.