Foundation Book Of Mathematics Vol-I

We would like to thank all the students for helping us to understand their problems and for inspiring us to work to get their solutions and the teachers who made our concepts and basics clear. We owe this book to them.

This book is meant for all students who are preparing for different entrance examinations, specially, ISEET/IIT JEE and AIEEE. The most important thing we found was the gap between the normal class XI and XII curriculum and the level of preparation required for clearing the entrance exams conducted after class XII. In this book we have tried to bridge that gap and give the student everything from the very basic concepts to the best possible application of the concepts.

We would request the students to first go through the complete concepts of your class XI and then read the summary given in the beginning of each chapter in this book and finally try to attempt the questions given. Try your best to solve the questions on your own, even if a problem takes two to three days, keep thinking about the problem till you reach the solutions. Every problem has been solved at the end of each assignment. If you are stuck and are not able to get the solution, then go through the solution given and try to understand the concept involved. You need to remember the concept and the application in a particular solution and not the question, as the chances of the same question being asked are rare but all the questions asked in the exam will be based on one or the other concept of the problems discussed in this book.

1. Sets

2. Relations and Functions

3. Trigonometric Functions

4. Principle of Mathematical Induction

5. Complex Numbers and Quadratic Equations

6. Linear Inequalities

7. Permutations and Combinations

8. Binomial Theorem

9. Sequence and Series

10. Straight Line

11. Conic Sections

12. Introduction to Three-Dimensional Geometry

13. Limits and Derivatives

14. Mathematical Reasoning

15. Statistics

16. Probability

Logarithms

Antilogarithms