3 Review(s)

It gives me great pleasure in presenting the new edition of this book. In this edition, the modifications have been dictated by the changes in the CBSE syllabus. The structure and the methods used in the previous editions, which have been appreciated by teachers using the book in classroom conditions, remain unchanged. The main consideration in writing the book was to present the considerable requirements of the syllabus in as simple a manner as possible. Special attention has been paid to the gradation of problems. This will help students gain confidence in problem-solving. One problem faced by students is the lack of a comprehensive and carefully selected set of solved problems in textbooks of this kind. I have given due weightage to this aspect. Each set of solved examples is followed by a comprehensive exercise section in which students will get enough questions for practice. Hints have been given to the more difficult questions. Students should take their help as a last resort. I have received many suggestions and letters of appreciation from teachers all over the country. I thank them all {or contributing in the improvement of the book and for their encouragement. I hope they will like this edition as well. And as always, I would like to hear their views on the book.Published by NCERT, this Mathematics Textbook remains a favourite among the students of class 12. It has been compiled by keeping in mind the syllabus, which has been prescribed by the CBSE. Besides, it comes with lucid language that helps the students to grasp the elementary concepts very easily. This first edition comes in a paperback form. Topics covered in this Textbook: • Integrals • Introduction • Integration as an Inverse Process of Differentiation • Methods of Integration • Integrals of some Particular Functions • Integration by Partial Fractions • Integration by Parts • Definite Integral • Fundamental Theorem of Calculus • Evaluation of Definite Integrals by Substitution 338 • Some Properties of Definite Integrals • Application of Integrals • Introduction • Area under Simple Curves • Area between Two Curves • Differential Equations • Introduction • Basic Concepts • General and Particular Solutions of a Differential Equation • Formation of a Differential Equation whose General Solution is given • Methods of Solving First order, First Degree Differential Equations • Vector Algebra • Introduction • Some Basic Concepts • Types of Vectors • Addition of Vectors Salient Features of the Textbook: New concepts have been introduced in such a manner that the students will never find a dull moment to sharpen his or her mathematical skills. It contains graphical and schematic representations of different Mathematical concepts so as to enable the students to understand the same clearly. Compilation of different exercises makes it easy for students to develop their Mathematical skills. Different theorems and riders have been presented in a jargon-free manner for easy readability and close understanding.