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The present book ‘CALCULUS–I’ is strictly in accordance with the latest syllabus of the semester system implemented by Panjab University, Chandigarh. It is the culmination of honest and sincere efforts on the part of the authors to meet the requirements of students who opt for mathematics at the Graduation level. The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner to meet the various needs of all types of learners. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems so that the study leads to perfect clarity and understanding. A large number of notes and remarks have been added for a better understanding of the subject. Well-planned and exhaustive exercises have been given in each chapter to provide the students with an opportunity of exhaustive practice.