This book has been specially designed for the aspirants of JEE Main and various other regional and national engineering entrances conducted across the country for admission to undergraduate engineering courses at premier engineering institutes like IIT, DTU, BVP, AMU, VIT, etc. This revision cum crash course for JEE Main 2015 has been designed for the students aspiring to get through various regional and national engineering entrances with flying colors. The revised edition of JEE Main Mathematics in 40 Days is an impeccable tool from Arihant designed to achieve perfection in the concepts asked in various regional and national engineering entrances. The book has been divided into 40 sections as per strategic division of the syllabus in 40 days along with 7 Unit Tests and 3 Full Length Tests. The preparation starts with Sets, Relations & Functions, Complex Numbers, Sequences & Series, Quadratic Equation & Inequalities, Determinants, Matrices, Binomial Theorem & Mathematical Induction, Permutations & Combinations, followed by Unit Test 1 on Day 9 then Real Function, Limits, Continuity & Differentiability, Differentiation, Application of Derivatives, Maxima & Minima, Indefinite Integrals, Definite Integrals, Area of Curves, Differential Equations, followed by Unit Test 2 on Day 19, then Trigonometric Functions & Equations, Heights & Distances, Inverse Trigonometric Functions, followed by Unit Test 3 on Day 23, then Cartesian System of Rectangular Coordinates, Straight Lines, The Circle, Parabola, Ellipse, Hyperbola, followed by Unit Test 4 on Day 30, then Vector Algebra, Three Dimensional Geometry, followed by Unit Test 5 on Day 33, then Statistics, Probability, Mathematical Reasoning, followed by Unit Test 6 on Day 37, followed by Mock Test 1, Mock Test 2 and Mock Test 3 on Day 38, 39 and 40 respectively. All the concepts have been discussed clearly and comprehensively to keep the students focused. Topics to Focus, a set of topics for each day determined first. All types of objective questions like single option correct, assertion & reason, passage-based etc have been included in the warm up exercise for a day. Frequent unit tests have also been included in between the comprehensive study so that the students can assess their level of preparation for the examination. At the end of the book, solved paper 2013 & 2014 JEE Mains Solved Paper has also been given in the book to give the candidates an insight into the current examination pattern of JEE Main. As the book has been designed systematically to give the candidates a fast way to prepare for Mathematics without any other support or guidance, it for sure will act as a perfect resource book for various regional and national engineering entrances preparation.