How do I study for the CSIR NET math?

Hello, While preparing for Mathematical Science we need to follow a good preparation strategy, let us start with the syllabus. Coming to the important topics now as CSIR NET Mathematical Science Syllabus is vast. Unit 1- Real Analysis Bolzano Weierstrass theorem, uniform continuity, compactness, Functions of several variables, mean value theorem, Heine Borel theorem, continuity, metric spaces, connectedness Linear Algebra orthonormal bases and spectral theorem, matrix representations of linear transformations, Linear transformations, minimal polynomial, rank and nullity theorem, Inner product spaces, Jordan canonical form Unit 2- Complex analysis Check the previous year's questions and prepare accordingly. Algebra Irreducibility criteria, homomorphisms, Slow theorems, cyclic groups, class equations, permutation groups, Cayley's theorem. Linear algebra - Modern algebra - Real analysis - complex analysis - topology Thanks.

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