IIT JAM Mathematics Syllabus 2016
IIT JAM 2016 Mathematics Syllabus
Sequences, Series and Differential Calculus : Sequences and Series of real numbers : Sequences and series of real numbers. Convergent and divergent sequences, bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, absolute and conditional convergence; Tests of convergence for series of positive terms – comparison test, ratio test, root test, Leibnitz test for convergence of alternating series.
Functions of one variable : mit, continuity, differentiation, Rolle’s Theorem, Mean value theorem. Taylor’s theorem. Maxima and minima.
Functions of two real variable : Limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler’s theorem.
Integral Calculus : Integration as the inverse process of differe ntiation, definite integrals and their properties, Fundamental theorem of integral calculus. Double and triple integrals, change of order of integration. Calculating surface areas and volumes using double integrals and pplications. Calculating volumes using triple integrals and applications.
Differential Equations : Ordinary differential equations of the first order of the form y’=f(x,y). Bernoulli’s equation, exact differential equations, integrating factor, Orthogonal trajectories, Homogeneous differential equations – separable solutions, Linear differential equations of second and higher order with constant coefficients, method of variation of parameters. Cauchy – Euler equation
Vector Calculus : Scalar and vector fields, gradient, divergence, curl and Lapla cian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green’s, Stokes and Gauss theorems and their applications.
Group Theory : Groups, subgroups, Abelian groups, non – abelian groups, cyclic groups, per mutation groups; Normal subgroups, Lagrange’s Theorem for finite groups, group homomorphisms and basic concepts of quotient groups ( only group theory ).
Linear Algebra : Vector spaces, Linear dependence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, Range space and null space, rank – nullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. Cayley – Hami lton theorem. Symmetric, skew – symmetric, hermitian, skew – hermitian, orthogonal and unitary matrices.
Real Analysis : Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets; completeness of R, Power series ( of real variable ) including Taylor’s and Maclaurin’s, domain of convergence, term – wise differentiation and integration of power series.
IIT JAM 2016 Navigation : IIT JAM 2016 Biological Science Syllabus , IIT JAM 2016 Preparation Tips, IIT JAM 2016 Counselling, IIT JAM 2016 Syllabus , IIT JAM 2016 Results , IIT JAM 2016 Physics Syllabus, IIT JAM 2016 Mathematics Syllabus, IIT JAM 2016 Mathematical Statistics Syllabus, IIT JAM 2016 Geophysics Syllabus, IIT JAM 2016 Geology Syllabus , IIT JAM 2016 Chemistry Syllabus , IIT JAM 2016 Computer Application Syllabus , IIT JAM 2016 Biotechnology Syllabus, IIT JAM 2016 Important Dates , IIT JAM 2016 Admission Procedure , IIT JAM 2016 Exam Centres , IIT JAM 2016 Exam Pattern, IIT JAM 2016 Application Form , IIT JAM 2016 Eligibility, IIT JAM 2016 Entrance Exam, MCA Preparation Question Bank CD
IIT JAM Related : IIT JAM 2016 Mathematics Syllabus, IIT JAM 2016 Syllabus, IIT JAM 2016 Entrance Exam Syllabus, IIT JAM Mathematics Syllabus 2016, IIT JAM 2016 Syllabus Details, Syllabus for IIT JAM Exam 2016, IIT JAM Syllabus PDF 2016, IIT JAM Admission Test 2016 Syllabus, IIT JAM 2016 Maths Syllabus, IIT JAM 2016 Study Material, IIT JAM 2016 Syllabus for Mathematics, IIT Joint Admission Test Syllabus 2016, IIT JAM 2016 Syllabus Pattern, IIT JAM 2016 Syllabus Curriculum, IIT JAM 2016 Question Papers, IIT JAM 2016 Maths Paper Syllabus, Mathematics Syllabus of IIT JAM 2016, IIT JAM 2016 Mathematics Previous Question Papers, IIT JAM Exam Syllabus 2016, Indian Institute of Technology Joint Admission Test 2016 Syllabus,
IIT JAM Mathematics Syllabus 2016 – IIT JAM Syllabus 2016 – IIT JAM Syllabus for Mathematics 2016 – IIT JAM Exam Syllabus 2016 – IIT JAM Maths Subject Syllabus 2016 – IIT JAM Syllabus Criteria 2016 – IIT Joint Admission Test Syllabus 2016 – IIT JAM Detailed Syllabus 2016 – IIT JAM Question Papers – IIT JAM Question Bank CD
Posted In mca entrance exam : iit jam : Leave a response for iit jam mathematics syllabus 2016 by swathi