The book is intended for students of college grade, both community colleges and universities. It presumes knowledge of first year differential and integral calculus and physics. While some knowledge of differential equations would be helpful, it is not absolutely necessary. Chapters 9 and 10 include step-by-step procedures for the solutions of simple differential equations used in the derivation of the natural and forces responses. Appendices B and C provide a thorough review of complex numbers and matrices respectively. In addition to several problems provided at the end of each chapter, this text includes multiple-choice questions to test and enhance the reader’s knowledge of this subject. Moreover, the answers to these questions and detailed solutions of all problems are provided at the end of each chapter. The rationale is to encourage the reader to solve all problems and check his effort for correct solutions and appropriate steps in obtaining the correct solution. And since this text was written to serve as a self-study or supplementary textbook, it provides the reader with a resource to test his knowledge. The author has many additional problems for homework assignment and these are available to those instructors who adopt this text as primary or supplementary text and prefer to assign problems without the solutions. He also has accumulated many sample exams. It is not necessary that the reader has previous knowledge of MATLAB®. The material of this text can be learned without MATLAB. However, this author highly recommends that the reader studies this material in conjunction with the inexpensive MATLAB Student Version package that is available at most college and university bookstores. Appendix A of this text provides a practical introduction to MATLAB. This package will be invaluable in later studies such as the design of analog and digital filters.