Indian Statistical Institute Syllabus

I have applied for the Indian statistical institute entrance exam for Junior Research Fellow so can you please provide me the syllabus of it so that I can start my preparation of this exam? Also give me details about its exam pattern and marking scheme?

I want the syllabus of Indian Statistical Institute ISI Admission Test M. Math Exam so will you please provide me?

[pawan]

I am providing you the syllabus of Indian Statistical Institute ISI Admission Test M. Math Exam

ISI Admission Test M. Math syllabus

Test Code: PMB (Afternoon Session)

- Countable and uncountable sets;

- equivalence relations and partitions;

- convergence and divergence of sequence and series;

- Cauchy sequence and completeness;

- Bolzano-Weierstrass theorem;

- continuity, uniform continuity, differentiability, Taylor Expansion;

- partial and directional derivatives, Jacobians;

- integral calculus of one variable existence of Riemann integral,

- fundamental theorem of calculus, change of variable, improper integrals;

- elementary topological notions for metric spaces open, closed and

- compact sets, connectedness, continuity of functions;

- sequence and series of functions;

- elements of ordinary differential equations.

- Vector spaces, subspaces, basis, dimension, direct sum;

- matrices, systems of linear equations, determinants;

- diagonalization, triangular forms;

- linear transformations and their representation as matrices;

- groups, subgroups, quotient groups, homomorphisms, products,

- Lagranges theorem, Sylows theorems;

- rings, ideals, maximal ideals, prime ideals, quotient rings,

- integral domains, Chinese remainder theorem, polynomial rings,fields.

- Elementary discrete probability theory: Combinatorial probability, Conditional probability, Bayes Theorem. Binomial and Poisson distributions

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Indian Statistical Institute
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