Dear Surendra,  JNU has changed its exam pattern from this year. So previous question papers wouldnt really help you. However, you should concentrate on General topics at the B.Sc. level. Specific focus will be on the following topics:



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.

Jaipur National University

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