I need last year question papers of jnu msc math entrance
Linear Algebra: Vector spaces, Sub spaces, linearly dependent & linearly independent vectors, Basis, Dimension, linear transformation, Matrix representation of a linear transformation, Rank and Nullity theorem. Finite dimensional vector spaces, Existence theorem for basis, Quotient space and its dimension. Rank of a matrix, Eigen values & Eigen vectors.
Abstract Algebra: Divisibility in the set of integers, congruences, Groups, Sub groups, Permutation groups, Cyclic groups, Lagrange's theorem and its consequences, Normal subgroups, Quotient groups, Group homomorphism, Kernel of a homomorphism, Fundamental
theorem of homomorphism of groups, Group isomorphism, Cayleys theorem.
Optimization: Introduction to Linear Programming. Problem formulations. Linear independence and dependence of vectors. Convex sets. Extreme points. Hyperplanes and Half spaces.
Directions of a convex set. Convex cones.
Polyhedral sets and cones. Theory of Simplex Method. Simplex Algorithm. Assignment and Transportation.
Calculus, Differential Calculus, Vector Calculus, Numerical Analysis, Mechanics, Mathematical Methods and Real Analysis.


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