Mathematics is the study of topics such as Quantity, Structure, Space and Change. Mathematics is being used throughout the world as an essential tool in many fields including Natural Sciences, Engineering, Medicine, Finance and Social Sciences.
The aim of the book is to sharpen mathematical reasoning logical interpretation and to help the students in cracking the IIT-JEE (Mathematics). This book takes a very different approach of ‘Brain Mapping’ and assists the students in problem solving.
A good number of examples have been cited to help understand and face the daunting IIT-JEE. The examples in this book are as per the syllabi of various competitive exams — and all the sums carry numerical value 2012, 2013, 2014, 2015 or 2016 either in the statement or in calculation or in final answers.
Contents –
1. Sets, Relations and Functions
2. Complex Numbers
3. Quadratic Equations and Inequalities
4. Sequences, Series and Means
5. Permutations and Combinations
6. Mathematical Induction and Binomial Theorem
7. Trigonometric Functions and Equations
8. Straight Lines and Co-ordinate Geometry
9. Circles
10. Conics (Parabola, Ellipse and Hyperbolas)
11. Inverse Trigonometric Functions
12. Matrices and Determinants
13. Limits
14. Continuity and Differentiability
15. Application of Derivatives
16. Indefinite Integrations
17. Definite Integrations
18. Differential Equations
19. Three Dimensional Geometry
20. Vector Algebra
21. Probability
22. Mathematical Reasoning (Logic)
23. Assertion and Reason
24. Miscellaneous Examples
25. Statistics
26. Height and Distance
27. Brain Mapping Problems
Universal Magic Cube of The Golden Year
