Maths Spl

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.

The Mathematics department in CU has designed its curriculum as per the demand and need in academic and industry as well. The students are skilled with the theory as well as programming languages needed for the coding purpose. To foster academic excellence in its industry-oriented curriculum, the syllabus is designed to provide students with a comprehensive understanding of Mathematics. The curriculum not only covers basic theories but also gives insight into advanced concepts of Physics, Quantum Mechanics, Chemistry, Statistical methods, Electronics, Optics, Solid state Physics, real analysis, ODE, PDE with computational Math. This diverse and robust curriculum ensures the knowledge of students with up to date skills required for higher education or for Industry.

Students are also engaged in research project in their final year so that they can get the hands on in paper writing and publication, app and website development. This hands-on experience, educate the students for their holistic understanding of the subject and prepare them to contribute in ongoing scientific inquiries. 

According to the report of NTA, approximately 8 Lacs people applied for the CUET PG 2023 Examination, which assessed students in 4597 courses using 157 different question codes. The CUET PG 2023 Statistics regarding the applicants who appeared in the different categories can be viewed by candidates here:

Number of registered candidates (unique) - 459083

Number of tests administered - 877492

Male (Unique Candidates) - 209740

Female (Unique Candidates) - 249332

Transgender (Unique Candidates) - 11

PwD (Unique Candidates - 2276

General (Unique Candidates) - 166548

SC (Unique Candidates) - 52088

ST (Unique Candidates) - 38767

OBC (Unique Candidates) - 163807

EWS (Unique Candidates) - 37873

Number of mediums (languages) - 2

Number of Cities where the exam was conducted - 279

Number of Phases - 2

Number of universities - 197