Gujarat State Eligibility Test Old Papers

My self Rohan and I need exam paper of Gujarat State Eligibility Test, Mathematics subject with syllabus for that will you please get it for me so that I can prepare?

[pawan]

On your demand I will provide you Mathematics subject exam paper with syllabus of Gujarat State Eligibility Test, exam paper so that it would be easy for you to prepare hard.


Gujarat State Eligibility Test Mathematics exam paper 1







Here is the syllabus

UNIT 1
Analysis:
Elementary set theory, finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, supremum, infimum.

Sequences and series, convergence, limsup, liminf.

Bolzano Weierstrass theorem, Heine Borel theorem.

Continuity, uniform continuity, differentiability, mean value theorem.

Sequences and series of functions, uniform convergence.

Riemann sums and Riemann integral, Improper Integrals.

Monotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure, Lebesgue integral.

Functions of several variables, directional derivative, partial derivative, derivative as a linear transformation, inverse and implicit function theorems.

Metric spaces, compactness, connectedness. Normed linear Spaces. Spaces of continuous functions as examples.

For full information please check the file