Notice Board – Page 2

Maharashtra State Eligibility Test (MH-SET-2020)

Important Dates:
Last Date for Application : 21-01-2020(Extended till 29 Jan)
Last Date for Payment: 21-01-2020 (Extended till 29 Jan)
Exam Date: 28.06.2020
Admit Card Download : 18.06.2020
Old year Question Paper : Download Here
Detail Eligibility Criteria : Click Here
Syllabus of MH-SET-2020: Download Syllabus
More Details about MH-SET 2020 : Visit Here

Note: Study materials for MH-SET are available, contact on maths.whisperer@gmail.com.

Himachal Pradesh State Eligibility Test(HP SET-2019)

Important Dates:
Last date: 30-Dec-2019,
Exam Date: Announce soon
Details Notification: HPSET 2019 Notification
Syllabus of HP-SET-2019: All questions of Paper-II will be compulsory, covering entire
contents of syllabus uploaded in the website http://www.hppsc.hp.gov.in/hppsc of the Commission as well as the website of the UGC (including all electives, without options). This agency will not supply the copies of syllabus to the individual candidates.
Old year Question Papers: Available Soon
The candidates must read the instructions carefully, which are available on the website of Commission, i.e. http://www.hppsc.hp.gov.in/hppsc before filling up Application. Continue reading “State Eligibility Test (SET) for Assistant Professor” →

Note: Check Here Latest Syllabus of GATE-2021

Calculus: Finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property; Sequences and series, convergence; Limits, continuity, uniform continuity, differentiability, mean value theorems; Riemann integration, Improper integrals; Functions of two or three variables, continuity, directional derivatives, partial derivatives, total derivative, maxima and minima, saddle point, method of Lagrange’s multipliers; Double and Triple integrals and their applications; Line integrals and Surface integrals, Green’s theorem, Stokes’ theorem, and Gauss divergence theorem.

Abstract Algebra: Groups, subgroups, normal subgroups, quotient groups, homomorphisms, automorphisms; cyclic groups, permutation groups, Sylow’s theorems and their applications; Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domains, Principle ideal domains, Euclidean domains, polynomial rings and irreducibility criteria; Fields, finite fields, field extensions.

Linear Algebra: Finite dimensional vector spaces over real or complex fields; Linear transformations and their matrix representations, rank and nullity; systems of linear equations, eigenvalues and eigenvectors, minimal polynomial, Cayley-Hamilton Theorem, diagonalization, Jordan canonical form, symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal and unitary matrices; Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, definite forms.

Complex Analysis: Analytic functions, harmonic functions; Complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum modulus principle, Morera’s theorem; zeros and singularities; Power series, radius of convergence, Taylor’s theorem and Laurent’s theorem; residue theorem and applications for evaluating real integrals; Rouche’s theorem, Argument principle, Schwarz lemma; conformal mappings, bilinear transformations.

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