2019 2020 EduVark CUSAT MSc Maths Entrance Syllabus

#1
June 19th, 2014, 01:40 PM
 Nitin Sharma Super Moderator Join Date: Mar 2012 Posts: 23,401

Please provide me syllabus for MSC mathematics entrance examination of Cochin University of Science and Technology ?

Here I am giving you syllabus for MSC mathematics entrance examination of Cochin University of Science and Technology below ..

Algebra & Linear Algebra
Group – Automorphism, inner automorphisms, automorphism groups, Congjugacy relation and
centraliser, Normaliser, Counting principle and the class equation of a finite group, Cauchy’s theorem
and Sylow’s theorems for finite abelian groups and non abelian groups.

Ring theory – Ring homonorphism, Ideals and Quotient Rings, Field of Quotients of an Integral Domain.
Euclidean Rings, polynomial Rings, Polynomials over the Rational Field, Polynomial Rings over
Commutaive Rings, Unique factorization domain.

Definition and examples of vector spaces. Subspaces. Sum and direct sum of subspaces. Linear span.
Linear dependence, independence and their basic properties. Finite dimensional vector spaces. Existence
theorem for bases. Invariance of the number of elements of a basis set. Dimension. Existence of
complementary subspace of a subs pace of a finite dimensional vector space. Dimension of sums of
subspaces. Quotient space and its dimension.

Linear transformations and their representation as matrices. The algebra of linear transformations. The
rank nullity theorem. Change of basis. Dual space. Bidual space and natural isomorphism. Adjoint of a
linear transformation. Eigenvalues and eigenvector of a linear transformation. Diagonalisation. Bilinear,

Inner Product Spaces, Cauchy-Schwarz inequality Orthogonal vectors. Orthogonal Complements.
Orthonormal sets and bases. Bessel’s inequality for finite dimensional spaces. Gram – Schmidt
Orthogonalization process.

Last edited by Anuj Bhola; October 18th, 2019 at 11:29 AM.
 Similar Threads Thread Thread Starter Forum Replies Last Post Harsh Pandit General Discussion 1 September 19th, 2017 08:02 PM Unregistered General Discussion 1 September 17th, 2016 09:31 AM Unregistered General Discussion 1 May 11th, 2016 09:22 AM Unregistered General Discussion 1 February 1st, 2016 04:35 PM Unregistered General Discussion 1 January 25th, 2016 10:35 AM Unregistered General Discussion 0 August 12th, 2015 03:48 PM Unregistered General Discussion 0 August 8th, 2015 12:23 PM Unregistered General Discussion 0 June 15th, 2015 11:57 AM Unregistered Career and Jobs 1 April 11th, 2015 05:48 PM Unregistered General Discussion 1 July 7th, 2014 12:54 PM Unregistered General Discussion 1 July 5th, 2014 12:40 PM Unregistered General Discussion 1 July 3rd, 2014 12:42 PM Unregistered General Discussion 1 June 19th, 2014 05:57 PM Nitin Sharma General Discussion 0 June 19th, 2014 01:40 PM Unregistered General Discussion 1 June 17th, 2014 04:30 PM

#2
March 29th, 2019, 01:50 PM
 Unregistered Guest User Posts: n/a
Re: CUSAT MSc Maths Entrance Syllabus

can i get study material for msc maths entrance

Message:
Options

 Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home Education Discussion     General Discussion     Entrance Exams     Career and Jobs

All times are GMT +5.5. The time now is 08:49 AM.

 Contact Us - EduVark - Archive - Top Partners : StudyChaCha | Management Forum