Engineering Mathematics is designed to provide first-year engineering students with a strong foundation in essential mathematical concepts, following the syllabus of Dr. A.P.J. Abdul Kalam Technical University (AKTU). Covering five key modules—Matrices, Differential Calculus-I & II, Multiple Integrals, and Vector Calculus—the book connects theory to real-world engineering applications. With simplified explanations, step-by-step solutions, and exam-focused questions, it fosters analytical thinking and problem-solving skills. More than just formulas, it presents mathematics as a logical and creative journey. This book aims to inspire students to embrace mathematics with curiosity and confidence, becoming a reliable guide throughout their academic and professional pursuits.