Mathematics: JEE Mains and Advanced
About Me Engineer, R&D Graduated from IIT Kanpur in Mechanical Engineering - Qualified GATE 2018 . Cleared JEE Mains and Advanced in 2013 . Passionate about Teaching . Avid Reader Follow me on Unacademy at https://unacademy.com/user/saurabh.suman . Please do comment, share, subscribe rate and review this course (Much Appreciated!!!)
Target Audience - Specially JEE Mains and Advanced Aspirants. - 11th and 12th Class Students Any individual, who is willing to learn Mathematics.
JEE Mains Syllabus There are total 16 important unit for JEE Mains syllabus . Set, Relations and Functions Complex Numbers and Quadratic Equations .Matrices and Determinants Permutations and Combinations Mathematical Induction . Binomial Theorem and lIts Simple Applications Sequence and Series : Limit, Continuity and Differentiability
Syllabus Continued... Integral Calculus Differential Equations - Coordinate Geometry . Three Dimensional Geometry . Vector Algebra : Statistics and Probability . Trigonometry . Mathematical Reasoning
JEE Advanced Syllabus The Syllabus of the JEE Advanced has been mentioned as below: - Algebra Matrices . Probability . Trigonometry . Analytical Geometry (Two Dimensions) . Analytical Geometry (Three Dimensions) . Differential Calculus Integral Calculus - Vectors
Detailed Descriptions of JEE Advanced Syllabus .Algebra Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations. Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots. 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 Logarithms and their properties Permutations and combinations. Binomial theorem for a positive integral index, properties of binomial coefficients
Detailed Descriptions Continued... -Matrices 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.
Detailed Descriptions Continued... -Probability Addition and multiplication rules of probability, Conditional probability, Bayes Theorem, Independence of events, Computation of probability of events using permutations and combinations.
Detailed Descriptions Continued... Trigonometry Trigonometric functions, their periodicity and graphs, addition and subtraction formulae Formulae involving multiple and sub- solution of trigonometric equations. multiple angles, general >Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle, >Formula and the area of a inverse trigonometric functions (principal value only).
IITian | Graduated from IIT Kanpur | Star Educator in IITJEE Category for Mathematics | Career Counsellor for 3+ Years | JEE Mentor