PUCAT

Candidates aspiring to appear in PUCAT exam can follow the below given steps to prepare for PUCAT exam:One should give yourself enough time to study. Create a time table to be more accurate and committed.Solve old question papers from the past five years. Solve sample papers.Study in a place where there is no disturbance. One should be in a quiet environment so that one can focus.It is not always a bad option to study with friends. Ask questions, discuss chapters, get to know another person’s point of view.One should also take regular breaks in between so that one doesn’t get stressed out or get a headache.Plan your day. Which chapter’s needs to be covered today, how many sample papers can you solve and how much revision can be done.

Candidates can check the space below to know about the syllabus of PUCAT mathematics Real Analysis section: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 termscomparison test, ratio test, root test, Leibnitz test for convergence of alternating series. Functions of one variable: limit, continuity, differentiation, Rolle's Theorem, Cauchy’s Taylor's theorem. 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, domainof convergence,  term-wise differentiation and integration of power series. Functions of two real variable: limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler's theorem.

Candidates can check the space below to know about the syllabus of PUCAT mathematics algebra section:Groups, subgroups, Abelian groups, non-abelian groups, cyclic groups, permutation groups; Normal subgroups, Lagrange's Theorem for finite groups, group homomorphism and quotient groups, Rings, Subrings, Ideal, Prime ideal; Maximal ideals; Fields, quotient field. Vector spaces, Linear dependence and Independence 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-Hamilton theorem. Symmetric, Skew symmetric, Hermitian, Skew-Hermitian, Orthogonal and Unitary matrices.