KIIT UNIVERSITY, BHUBANESHWAR, ORISSA, INDIA
KIIT ENTRANCE EXAMINATION (KIITEE) - 2020
Date of Examination : 14th April & 23th April 2020Eligibility : (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 been born on or after 01.07.1996. Exam Pattern :
No. of Questions
Mathematics (10+2 standard)
Analytical & Logical Ability
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 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 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:-
Admit Card will be hosted in the website from dt.04.04.2020 to dt.10.04.2020. In case, the Admit Card is not available in the website within 10th April, 2020, candidates should write/contact KIIT between 11th April, 2020 to 14th April, 2020 giving details of the Application Form. The candidates have to download the admit card from the website and have to come with the printed copy to the examination Centre. Admit Cards will not be dispatched in Hard Copy. Candidates must preserve the Admit Card till the admission process is over.Important Dates: Date of Entrance Examination (Online): 14-04-2020 & 23-04-2020
|Apply Online From||: 16-11-2019 to 31-03-2020|
|Last date of hosting Admit Card in the website||: 05-04-2020|
|Declaration of Result||: 26-04-2020|
|Counseling starts from||: 12-05-2020|