A Textbook of Differential Calculus for JEE Main & Advanced (English)
The Skills in Mathematics series aims at helping students take their knowledge and application for various mathematical concepts to a whole new level. This series aims at equally helping the beginners as well as experts. The books in this series have been designed so as to work as elementary textbooks which will play a crucial role in building the concepts from scratch till the end and help in preparation for various competitive examinations.
The present textbook on Differential Calculus for engineering aspirants is based on the premise that problems in calculus are difficult but they are workable. The book has been divided into seven chapters covering Coordinate Systems & Coordinates, The Straight Line, Pair of Straight Line, Circle, Parabola, Ellipse and Hyperbola, each containing simple and engaging elaboration of the concepts of Differential Calculus. The contents of the book have been devised to cover the syllabi and serve as a textbook for all engineering entrance examinations being conducted in India. The book covers the required calculus concepts and the strategies for solving the problems by breaking them down into easily manageable steps. The elaboration of the concepts is simple and engaging with a clear objective of taking out the mystique attached with the calculus problems. The revised edition contains all types of questions i. e. Single Correct Answers, Multiple Correct Answers, Multiple Correct Options, Passage-Based, Matching Types, Assertion & Reason, Integer Answer Types - with complete solutions. Various Points to Consider have been spread all over the chapters for quick understanding of the concepts discussed. A bunch of Solved Examples of new types are given in each chapter for on spot assessment.
This is a must have textbook for mathematics which starts from fundamentals and gradually builds your concepts upto the level required for Differential Calculus for Engineering Entrances and finally will place you among the toppers.
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Table of Contents
1. Essential Mathematical Tools 2. Differentiation 3. Functions 4. Graphical Transformations 5. Limits 6. Continuity and Differentiability 7. Dy/dx as a Rate Measurer & Tangents, Normals 8. Monotonicity, Maxima and Minima
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Specifications of A Textbook of Differential Calculus for JEE Main & Advanced (English)