Indian Institute of Information Technology syllabus

Hello sir my sister wants to take admission in PG Program of IIIT Hyderabad so please can you provide me the detailed syllabus of this entrance exam for mathematics subject.

[Pathak]

An all-India examination (PGEE) is the entrance exam for masters level admission in IIIT Hyderabad.

Exam structure

The entrance examination consists of two papers: (No negative marking)

Paper I: General aptitude paper Objective

Paper II: Objective paper (Paper II)

Mathematics Subjective
Computer Science Objective
Electronics and Communications Engineering (Objective and Subjective)
Structural Engineering (Subjective)
Computational Natural Sciences and Bioinformatics Objective
Computational Linguistics

Syllabus of PGCEE Exam

1. Paper I (General Aptitude)

Objective Duration: 1 1/2 hours
(Compulsory for everyone)

This is objective type question paper and will emphasize on basic aptitude, logical reasoning, basic questions on computers and mathematics.

A minimum cut-off score in this paper is compulsory for evaluation of candidate's subject paper (Paper II).

Paper II is subject paper

Based on the graduation, candidate has to appear for relevant subject papers.

Mathematics: Duration: 1 1/2 hours

I. Finite Dimensional Linear Vector Space
Linear Independence, Span, Basis, Orthonormal Set, Gram-Schmidt Orthogo- nalization Process, Inner Product, Dual Space, Eigen Space, Rank of a Matrix, Cayley-Hamiltonian Theorem, Similar Matrices, Linear Operator, Hermetian, Unitary and Normal Matrices, Spectral Decomposition.

II. Group, Ring and Field
Basic Concepts of Groups, Cyclic Group, Cosets, Elementary Concepts of Rings and Fields

III. Real Analysis
Concepts of sets of Real numbers, Sequence of Real Numbers, Continuous and Differentiable Functions, Rolle’s Theorem, Mean Value Theorem and Taylor Se- ries, Reimann Integration

IV. Probability Theory
Conditional Probability, Bayes Theorem, Random variable, PDF and CDF, Mo- ment Generating Function, Theoretical Distribution (Binomial, Poisson, Nor- mal, Uniform and Hyper geometric).

V. Complex Analysis
Analytic functions, Integration, Cauchy’s Integral Theorem, Cauchy’s Integral formula, Taylor and Laurent Series, Residue, Contour Integration.

VI. Ordinary Differential Equation
Equation of First order and First Degree, Second order Linear Equation with Constant coefficients.

VII. Optimization
Linear Programming Problem