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It is very important that students have the opportunity to practise new mathematics and to develop their understanding by applying new ideas and skills to new problems and new contexts. The main source of exercises for consolidation and practice is the text book. It is important to check that the examples in the exercises are graded from easy to difficult and that students don’t start with the hardest examples. It is also important to ensure that what is being practised is actually the topic that has been covered and not new content or a new skill which has not been taught before. This is a very common teaching method. You should take care. | MATHEMATICS HIGHER SECONDARY - FIRST YEAR VOLUME - I REVISED BASED ON THE RECOMMENDATIONS OF THE TEXT BOOK DEVELOPMENT COMMITTEE Untouchability is a sin Untouchability is a crime Untouchability is inhuman TAMILNADU TEXTBOOK CORPORATION COLLEGE ROAD CHENNAI - 600 006 4 A thorol g v PREFACE This book is designed in accordance with the new guidelines and syllabi - 2003 of the Higher Secondary Mathematics - First Year Government of Tamilnadu. In the era of knowledge explosion writing a text book on Mathematics is challenging and promising. Mathematics being one of the most important subjects which not only decides the career of many young students but also enhances their ability of analytical and rational thinking and forms a base for Science and Technology. This book would be of considerable value to the students who would need some additional practice in the concepts taught in the class and the students who aspire for some extra challenge as well. Each chapter opens with an introduction various definitions theorems and results. These in turn are followed by solved examples and exercises which have been classified in various types for quick and effective revision. The most important feature of this book is the inclusion of a new chapter namely Functions and Graphs . In this chapter many of the abstract concepts have been clearly explained through concrete examples and diagrams. It is hoped that this book will be an acceptable companion to the teacher and the taught. This book contains more than 500 examples and 1000 exercise problems. It is quite difficult to expect the teacher to do everything. The students are advised to learn by themselves the remaining problems left by the teacher. Since the Plus 1 level is considered as the foundation course for higher mathematics the students must give more attention to each and every result mentioned in this book. The chief features of this book are i The subject matter has been presented in a simple and lucid manner so that .
