IIT-JAM MATHEMATICS COACHING
At City Beautiful Chandigarh have been giving IIT-JAM Mathematics Coaching since 2008.A large number of understudies have cleared IIT-JAM Exam.We provide the Best Coaching in IIT-JAM Mathematics.We Taking the Regular test to Enhance the performance level with the goal that they Qualify the Exams in Large Numbers.
Subject Wise Marks Distribution In IIT-JAM Mathematics – 2016
TOPICS – MARKS
Linear Algebra – 14 Marks
Real Analysis – 18 Marks
Abstract Algebra – 10 Marks
Calculus of single variable -17 Marks
Calculus of tow variables – 18 Marks
Vector Calculus – 12 Marks
Differential Equations – 11 Marks
SYLLABUS FOR IIT- JAM
BEST IIT-JAM MATHS COACHING IN CHANDIGARH
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.
SETS RELATIONS, FUNCTIONS, AND GRAPHS:
Functions of One Variable, limit, continuity, differentiation, Rolle’s Theorem, Mean value theorem.Taylor’s theorem. Maxima and minima.
FUNCTIONS OF TWO REAL VARIABLES:
Limit, continuity, partial derivatives, differentiability, maxima and minima.
Integration as the inverse process of differentiation, definite integrals, nd 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 applications. Calculating volumes using triple integrals and applications.
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.
Scalar and vector fields, gradient, divergence, curl and Laplacian.
Groups, subgroups, Abelian groups, non-abelian groups, cyclic groups, permutation groups; Normal subgroups, Lagrange’s Theorem for finite groups.
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.
Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets.