# KIITEE University – 2016

KIIT UNIVERSITY, BHUBANESHWAR, ORISSA, INDIA

KIIT ENTRANCE EXAMINATION (KIITEE) – 2016

Test Date : 21-04-2016 to 30-04-2016

Eligibility : (For MCA)

MCA (3 years): Any Graduate with minimum 50% marks in graduation or equivalent having mathematics either in 10+2 or graduation level as one of the subject. Candidate should have born on or after 01.07.1992.

Exam Pattern :

 Subject No. of Questions Mathematics (10+2 standard) 60 Analytical & Logical Ability 30 Computer Awareness 30

Syllabus :

MATHEMATICS

Unit 1:- Algebra of Sets : Set operations, Union, Intersection, Difference, Symmetric Difference, Complement, Venn Diagram, Cartesian products of sets, Relation and Function, Composite Function, Inverse of a Function, Equivalence Relation, Kinds of Function.

Unit 2:- Number Systems : Real numbers (algebraic and other properties), rational and irrational numbers, Complex numbers, Algebra of complex numbers, Conjugate and square root of a complex number, cube roots of unity, Demoivre’s Theorem with simple applications. Permutation and combinations and their simple applications, Mathematical induction, Binomial Theorem. Determinants up to third order, Minors and Cofactors, Properties of determinants. Matrices up to third order, Types of Matrices. Algebra of matrices, Adjoint and inverse of a matrix. Application of determinants and matrices to the solution of linear equation (in three unknows)

Unit 3:-Trigonometry : Compound angles, Multiple and Sub-multiple angles, solution of trigonometric equations, Properties of triangles, Inverse circular function.

Unit 4:- Co-ordinate Geometry of Two Dimensions : Straight lines, pairs of straight lines, Circles, Equations of tangents and normals to a circle. Equations of Parabola, Ellipse and Hyperbola, Ellipse and hyperbola in simple forms and their tangents (Focus, directix, eccentricity and latus rectum in all cases)

Unit 5:-Co-ordinate Geometry of Three Dimensions: Distance and division formulae, Direction cosines and direction ratios. Projections, Angles between two planes, Angle between a line and plane. Equations of a spheregeneral equation.

Unit 6: -Vector Fundamentals, Dot and Cross product of two vectors, Scalar triple product, Simple Applications (to geometry, work and moment).

Unit 7:-Differential Calculus: Concept of limit, continuity, Derivation of standard functions, successive differentiation, simple cases, Leibnitz Theorem, Partial differentiation, Simple cases, derivatives as rate measure, Maxima and minima, indeterminate forms, Geometrical applications such as tangents and normals to plane curves.

Unit 8:-Integral Calculus : Standard methods of integration ( substitution, by pars, by partial fractions etc.) Definite integrals and properties of Definite Integrals, Areas under plane curves, Differential Equations only simple cases such as

(i) dy/dx = f(x)

(ii) dy/dx=f(x) g (y)

(iii) d2y/dx2 = f(x) and application to motions in a straight line.

Unit 9:-Probability and Statistics : Averages (Mean, Median and Mode), Dispersion (standard deviation and variance). Definition of probability, Mutually exclusive events, Independent events, Addition theorem.

COMPUTER AWARENESS

Computer Basics : Organization of a Computer, Central Processing Unit (CPU), Structure of instructions in CPU, input/output devices, computer memory, back-up devices.

Data Representation : Representation of characters, integers and fractions, binary and hexadecimal representations, Binary Arithmetic : Addition, subtraction, multiplication, division, simple arithmetic and two’s complement arithmetic, floating point representation of numbers, Boolean algebra, truth tables, venn diagram.

ANALYTICAL ABILITY AND LOGICAL REASONING

Questions in this section will test logical reasoning and quantitative reasoning.

APPLICATION PROCEDURE:

Application Form and Prospectus will be available online only. It will not be available in hard copy. Candidates have to apply online at http://www.kiitee.ac.in or http://www.kiit.ac.in or they can download it from the website.

The ‘Online Application Form’ will be accepted after the following steps are completed:-

• Browse KIIT web site http://www.kiitee.ac.in or http://www.kiit.ac.in

• Go through the Instructions to fill up the form.

• Fill up ‘Online Application Form’ and submit.

• Take the print out of Registration Form mentioning the Application Number.

• Paste the Photographs in the space provided for it.

• Sign on ‘Signature’ columns both by candidate and parent/guardian.

• Dispatch the Form along with two passport size photographs pasted in appropriate place and 10th Pass Certificate/Mark sheet.

Candidates should retain photocopies of ‘printed application form’ which may serve as reference for future correspondence.

The online application will be accepted subject to receipt of printed application, photographs and copy of 10th Pass Certificate/Mark sheet only. For downloaded application form The candidates have to fill up all the fields very carefully and send it with the photographs and 10th Pass Certificate/Mark sheet.

The print out of online Application form or filled in downloaded application form should be submitted in person/by post (Registered Post/Speed Post/Courier) to “The Director, Admissions, KIIT University, Koel Campus, Bhubaneswar – 751024, Odisha, India” so as to reach on or before Dt. 31.03.2016, 5.00 p.m.

Information on receipt of applications at KIIT will be available in the website http://www.kiitee.ac.in &http://www.kiit.ac.in . Candidates can check status of their Application Form on the website after 20 days of its dispatch to KIIT.