Calculus, Volume 1

The first volume of the textbook ‘Calculus’ is designedspecifically to meet the rigorous academic standards of engineering and science students. The book is a comprehensive exploration of calculus, tailored not just to teach computational techniques, but also to cultivate a deeper conceptual understanding of the subject. What sets the book apart is its clear, student-friendly exposition and its emphasis on foundational thinking. The problems are thoughtfully graded, ranging from routine practice to challenging conceptual puzzles, many of which are modelled after the actual coursework and examination. The book aims to focus on intuitive explanations and geometric interpretations, helping students build a visual and logical framework for calculus. It also includes real-world applications and historical notes, making the subject more engaging. This volume covers all essential topics—limits, continuity, differentiation, integration, sequences, and series, with real-world applications and historical context.