This new edition presents the essence of decades of experience of teaching engineering mathematics to engineering students of various universities and colleges. It continues the tradition of providing instructors and students with a practical-oriented, step-by-step, logical and easy to understand resource for teaching and learning engineering mathematics. Though necessary theory is employed in outlining definitions, formulas, laws etc., the theory is purposely kept to a minimum to keep the focus on understanding through practical problems solving. The intention has been to introduce all the topics through concrete examples, applications and analogies, instead of abstract theoretical arguments. The first four chapters of this book have been devoted to differential equations whereas each of the later ones is dedicated to boundary value problems, Laplace transform and partial differential equations respectively. Each section of the book employs a simple yet lively narrative assisted with extensive problem solving exercises, in an attempt to utilize students¿ intuition and geometric instincts to make the fun.