IIT JEE Mathematics Syllabus 2017
|JEE Advanced 2017 Question Bank CD -|
IIT JEE 2017 Mathematics Syllabus
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.
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.Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.
Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.
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).
Analytical geometry :
Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.
Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle Equation of a circle in various forms, equations of tangent, normal and chord.
Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line. Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.
Three dimensions : Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.
Differential calculus :
Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.
Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.
Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.
Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.
Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem.
Integral calculus :
Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus.
Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
IIT JEE 2017 Navigation : IIT JEE Counselling 2017, IIT JEE Updates & Events, IIT JEE Results 2017, IIT JEE Contact Details 2017, IIT JEE Admit Card 2017, IIT JEE Aptitude Syllabus 2017, IIT JEE Chemistry Syllabus 2017, IIT JEE Physics Syllabus 2017, IIT JEE Mathematics Syllabus 2017, IIT JEE Syllabus 2017, IIT JEE 2017 Exam Centres, IIT JEE Exam Centres 2017, IIT JEE 2015 List of Bank Branches, IIT JEE Application Form 2017, IIT JEE Exam Pattern 2017, IIT JEE Eligibility Criteria 2017, Indian Institute of Technology Joint Entrance Examination - IIT JEE 2017, IIT JEE Preparation Question Bank CD
IIT JEE Related : IIT JEE 2017 Mathematics Syllabus, IIT JEE 2017 Mathematics Syllabus Details, IIT JEE 2017 Entrance Syllabus, IIT JEE Mathematics Syllabus 2017, IIT JEE 2017 Engineering Syllabus, IIT JEE 2017 Mathematics Syllabus Download, IIT JEE 2017 Syllabus Material, IIT JEE 2017 Mathematics Study Material, IIT JEE 2017 BTech Syllabus, Indian Institute of Technology Joint Entrance Exam Mathematics Syllabus 2017, IIT JEE New Syllabus 2017, JEE Advanced 2017 Admission Syllabus, IIT JEE 2017 Trigonometry Syllabus, IIT JEE 2017 Question Paper, IIT JEE 2017 Mathematics Syllabus Information, IIT JEE Advanced 2017 Maths Syllabus,
IIT JEE 2017 Mathematics 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, … Continue reading
Posted In engineering entrance exam : iit jee : Leave a response for iit jee mathematics syllabus 2017 by nirmala