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