JEE Advanced 2018 will be conducted on 20th May 2018 by IIT Kanpur. There will be two papers i.e., Paper - 1 and Paper – 2. The duration of each paper will be of 3 hours. As we all know to appear for JEE Advanced Examination students have to qualify JEE Main Examination. In JEE Advanced Examination 2017, candidates among the top 220000 ranks who secured positive marks in JEE Main Examination were qualified. But this year 4000 more candidates would sit in JEE Advanced Examination 2018. Therefore, there is a good chance for all engineering aspirants to get selected for JEE Advanced Examination 2018. In this article the subject experts bring to you the latest syllabus of Mathematics for JEE Advanced Examination 2018. It will help you to secure good rank in the examination.
1. Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
2. Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
3. Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
4. Logarithms and their properties.
5. Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients.
6. Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
7. Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.
1. Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.
2. Relations between sides and angles of a triangle, sine rule, cosine rule, half angle formula and the area of a triangle, inverse trigonometric functions (principal value only).