Gauhati University Question Papers for Mathematics 3rd Semester

Question Paper from 2010 available

Please check your syllabus before downloading the question paper.

If syllabus does not match then don't download the question paper.

Year	Paper 101	Paper 102
2010	Download	Download
2011	Download	Download
2012	Download	Download
2013	Download	Download
2014	Download	Download
2015	Download	Download
2016	Download	Download
2017	Download	Download

This is the downloading page for Mathematics 1st semester but if

you want to explore the world of mathematics than go to the main

page for Mathematics major. Find the all the help form the world

of education so please comment.

Link is below down here

Main page- link

More than 50 question papers every semester

The Syllabus for the Subject is not available so please comment if you need the syllabus urgently.

3rd Semester

Revised Syllabus of Mathematics For Three year Degree Course ( Major Course) Paper-M304

Abstract Algebra Marks:

Unit 1: Homomorphism of groups, Fundamental theorems of homomorphism, Caley’s theorem. 20 marks Unit 2: Rings Integral domains division rings and fields, subrings,characteristic of a ring, idempotent and nilpotent elements in a ring, principle ,prime, maximal ideals, simple rings, definition and examples of vector space and its subspaces. 20 marks Unit 3: Inner automorphisms, automorphisms groups,conjugacy relation, normaliser, centre of a group, class equation and Cauchy’s theorem, Sylow’s theorems,( statement and applications).

Unit 4: Ring homomorphisms,quotient rings, field of quotients of an integral domain, Euclidean rings, polynomial rings.

3rd Semester

Revised Syllabus of Mathematics

For

Three year Degree Course ( Major Course) Paper-M305

Linear Algebra and Vector 1

Linear Algebra:

Unit 1: Sums and direct sum of subspaces, linear span, linear dependence and

independence and their basic properties, basis, finite dimensional vector spaces, existence theorem for bases, invariance of the number of elements of a basis, dimensions, existence of complementary subspace of a subspace of finite dimension, dimension of sum of subspaces, quotient spaces and its dimension.

Unit 2:Linear transformations and their representation as matrices, the algebra of linear transformations, the rank nullity theorem, change of basis, dual spaces.

Unit 3: Eigenvalues ,eigenvector, characteristic equation of a matrix, Cayley Hamilton theorem, minimal polynomial, characteristic and minimal polynomial of linear operators, existence an uniqueness of solution of a system of linear equations.

Vector:

Unit 4: Scalar triple product, vector triple product, product of four vectors.

Unit 5: Continuity and derivability of a vector point function, partial derivatives of vector point function, gradient, curl and divergence, identities.

Unit 6: vector integration, line, surface and volume integrals, Green, Stokes and Gauss’ theorems. 10 marks Text Books;