This book has been designed for helping students and other interested readers to solve first- and second order circuits problems in the time domain, and to use the Laplace transform. The theory is kept concise, yet all the necessary concepts are explained, and plentiful problems are solved in detail. A vast amount of figures is used for a more effective learning. All in all, this book will help undergraduate and graduate  students to develop the necessary skills to solve a broad range of transient exercises. It offers a unique complementary text to classical electric circuit textbooks, for students and self-study, as well.