# ISI Syllabus 2022

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MTech (CS) :

### MMA

Analytical Reasoning

• Algebra
• Coordinate geometry
• Calculus
• Elementary discrete probability theory

## MTech (CS)

### PCB

The selection test for M. Tech. in Computer Science and M. Tech. in Cryptology and Security will consist of two parts.

• Test MMA (objective type) in the forenoon session is the 1st part, and
• Test PCB (short answer type) in the afternoon session is the 2nd part.

The PCB test will consist of two groups.

• Group A (30 Marks) : All candidates have to answer questions on analytical ability and mathematics at the undergraduate level.
• Group B (70 Marks) : A candidate has to choose exactly one of the following five sections, from which questions have to be answered:
• Mathematics, (ii) Statistics, (iii) Physics, (iv) Computer Science, and (v) Engineering and Technology. SSS

While questions in the first three sections will be at postgraduate level, those

for the last two sections will be at B. Tech. level.

### Test PCB

Group A

• Analytical reasoning.
• Elementary Euclidean geometry and trigonometry.
• Elements of set theory, Functions and relations, Permutations and combinations,
• Principle of inclusion and exclusion, Pigeon-hole principle.
• Theory of equations, Inequalities.
• Elementary number theory, divisibility, congruences, primality.
• Determinants, matrices, systems of linear equations, vector spaces, linear independence, dimension, rank and inverse.
• Limits, continuity, sequences and series, differentiation and integration with applications, maxima-minima.
• Combinatorial probability, Conditional probability, Discrete random variables and
• expectation, Binomial distribution.

Group B

• Mathematics
• Statistics
• Physics
• Computer Science
• Engineering and Technology

MTech (QROR) :

### MMA

Analytical Reasoning

• Algebra
• Coordinate geometry
• Calculus
• Elementary discrete probability theory

### PQB

Part i: Statistics/Mathematics Stream

• Statistics (S1)
• Probability (S2)

Part ii: Engineering Sstream

• Mathematics (E1)
• Engineering and Technology (E2)
• Engineering Mechanics and Thermodynamics
• Electrical and Electronics Engineering
• Engineering Drawing