This book, written in accordance with the UGC model syllabus prepared by a team of experts on the initiative of UGC, covers the syllabus of calculus and will serve as a textbook for B.A./B.Sc. (Hons.) and Pass course students of Indian universities. This book will also be most useful for engineering students and others preparing for competitive examinations like IAS, IES, PCS etc. The text starts with the concepts of Integration and is followed by the study of integration of rational functions, irrational algebraic ...
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This book, written in accordance with the UGC model syllabus prepared by a team of experts on the initiative of UGC, covers the syllabus of calculus and will serve as a textbook for B.A./B.Sc. (Hons.) and Pass course students of Indian universities. This book will also be most useful for engineering students and others preparing for competitive examinations like IAS, IES, PCS etc. The text starts with the concepts of Integration and is followed by the study of integration of rational functions, irrational algebraic functions and trigonometric functions, definite integrals, reduction formulae, quadrature, rectification, volumes and surfaces of revolution, differential equations of the first order and the first degree, differential equations of the first order and higher, trajectories, linear differential equations with constant coefficients, homogeneous linear differential equations, linear differential equations of second order and simultaneous differential equations. The salient features of the book are: * Presentation of the subject in a natural way. * Description of the concepts with justification. * Grading of exercises. * Exercises (solved and unsolved) after each section and a miscellaneous set of exercises at the end of each chapter. * Notes and remarks at proper places.
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