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CSIR Mathematical Science Syllabus

CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship MATHEMATICAL SCIENCES 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

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