CUCET PG 2022 ,Application(Till 18th june 2022) Latest Updates

This blog consists of detailed updates on CUCET PG 2022 exam compromising important dates, eligibility, age limit, paper pattern, syllabus, marking scheme, etc.

 

Important Dates

 

Online submission of application form
(click here – to apply ) 
19th May – 18 June 2022 upto 5:00pm
Last date of transaction of fee 19th June 2022 upto 11:50pm
Corrections in application form 20th June – 22nd June 2022
Duration of the exam 120 minutes (2 hours), CBT
Timings of exam Slot 1 (10:00am – 12:00pm)

Slot 2 (3:00pm – 5:00pm)

(https://cuet.nta.nic.in/information-bulletin/

Language of the paper English & Hindi or specific in concerned subjects
Downloading of admit card  Soon to be announced
Date of exam Soon to be announced

 

CUET (PG) 2022 will be conducted in English and Hindi (Bilingual) except for language and Sahitya papers

 

Eligibility & Age Limit

 

Age Limit No age limit

( The candidates who have passed the bachelor degree/equivalent examination or appearing in 2022 irrespective of their age can appear in CUET (PG) 2022 examination)

Eligibility Unique for every university

(https://cuet.nta.nic.in/information-bulletin/

 

Paper Pattern

 

PART-A will consist of 25 objective questions (MCQs) and will include English, General Awareness, Mathematical Aptitude and Analytical Skills.

PART-B will consist of 75 objective questions (MCQs) from the following syllabus: 

 

Syllabus (Mathematics) 

(https://cuet.nta.nic.in/syllabus/

  

Algebra: 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, Skewsymmetric, Hermitian, Skew-Hermitian, Orthogonal and Unitary matrices. 

 

Real Analysis: 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: 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, domain of convergence, term-wise differentiation and integration of power series. 

 

Functions of two real variables: limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler’s theorem. 

 

Complex Analysis: Functions of a complex Variable, Differentiability and analyticity, Cauchy Riemann Equations, Power series as an analytic function, properties of line integrals, Goursat Theorem, Cauchy theorem, consequence of simply connectivity, index of a closed curves. Cauchy’s integral formula, Morera’s theorem, Liouville’s theorem, Fundamental theorem of Algebra, Harmonic functions.

 

Integral Calculus: Integration as the inverse process of differentiation, 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 applications. 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 Laplacian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green’s, Stokes and Gauss theorems and their applications. 

 

Linear Programing: Convex sets, extreme points, convex hull, hyper plane & polyhedral Sets, convex function and concave functions, Concept of basis, basic feasible solutions, Formulation of Linear Programming Problem (LPP), Graphical Method of LPP, Simplex Method.

Marking Scheme

 

  • +4 for every correct answer
  • -1 for every incorrect answer

 

Payable Fee

 

Category Application Fee (for up to three Test Papers) Fees for additional Test Papers (Per Test Paper)
General 800/- 200/-
OBC-NCL/Gen-EWS 600/- 150/-
SC/ ST/ Third Gender 550/- 150/-
PwBD 500/- 150/-
Outside India 4000/- 1000/-

 

To check the complete eligibility, syllabuses, exam pattern for your preferred subject visit https://cuet.nta.nic.in/information-bulletin/ 

Dr. Gajendra Purohit Known as GP Sir (M.Sc, NET, PhD (Pure Mathematics)) across Udaipur, Rajasthan has excellent 17- year Teaching Experience in Mathematics. MBA (Finance) has been imparting quality education to engineering & Basic Science Students (B.Tech./B.Sc./M.Sc./GATE/CSIR NET/ IIT-JAM/ IIT-JEE) with his teaching practices and commitment to excellence.

Gajendra Purohit comes with videos on concepts of Mathematics compromising shorts tricks & tips, previous year questions, blogs, courses for Engineering, B.Sc, M.Sc and many competitive exams in Hindi/ English language.

The tradition of innovation and excellence continues with his three YouTube channels on Mathematics initiated by Dr. Gajendra Purohit for all CS ,IT, Mechanical, EEE, EC, Electrical and Civil Engineering covering complete mathematics curriculum as well as competitive exams like IIT JAM, CSIR NET, GATE, etc.

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