Z-Transform is one of several transforms that are essential aemathematical tools used in engineering and applied sciences. This aeshort edition of this note is written to provide an introduction to the aesubject of Z-Transform. The material presented in this note can be aecovered in four to five 2-hour classroom lectures. Basic knowledge of aecalculus is needed. The note is not intended as a substitute for a text aebook on the subject. It is intended to help readers and students in aeengineering, mathematics and applied sciences understand the basic properties of Z-aeTransform and some of the methods and techniques based on this aetransform to solve some engineering and science problems.ae I have collected many examples and problems on the subject aethat might help the reader getting on-hand experience with the aetechniques presented in this note.ae