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4th August 2015, 02:24 PM
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Join Date: Apr 2013
Re: Birla Institute of Technology MCA Syllabus

Birla Institute of Technology, Mesra was founded in 1955, it is a technically oriented institute of higher education and it is a deemed University under the UGC Act, 1956.

Eligibility for MCA entrance exam:
Candidates must have Bachelor's Degree or equivalent qualification of any of the Universities with minimum 60% (55% for SC/ST/PwD) marks.

Candidates must have passed with minimum 60% (55% for SC/ST/PwD) marks in average of all subjects in Class 12 / Equivalent Examination.

The questions will be distributed into various areas as follows and the detailed syllabus is given below:

Section Subject No. of Questions
A. Mathematics 60
B. Analytical ability & Logical Reasoning 20
C. Computer Awareness 20
D. English 20
Total 120

Syllabus
Section A : Mathematics ( 60 Questions – Objective Type )
Algebra : Fundamental operations in Algebra, expansion, factorization, quadratic equations, indices, logarithms, arithmetic, geometric and harmonic progressions, binomial theorem, permutations and combinations, surds.

Set Theory : Sets and subsets, operations on sets, sequences, properties of integers, relations and functions.

Matrix Algebra : Elementary transformations, inverse of a matrix, rank, solution of simultaneous linear equations, eigenvalues and eigenvectors, quadratic forms.

Co – ordinate Geometry: Rectangular Cartesian co – ordinates, equations of a line, mid point, intersections etc., equations of a circle, distance formulae, pair of straight lines, parabola, ellipse and hyperbola, simple geometric transformations such as translation, rotation, scaling.

Calculus : Limit of functions, continuous functions, differentiation of functions ( s ), tangents and normal, simple examples of maxima and minima, integration of function by parts, by substitution and by partial fraction, definite integral application to volumes and surfaces of frustums of a sphere, cone, cylinder, Taylor Series.

Differential Equations : Differential equations of first order and their solutions, linear differential equations with constant coefficients, homogenous linear differential equations.

Vectors : Position vector, additions and subtraction of vectors, scalar and vector products and their applications to simple geometrical problems and mechanics.

Trigonometry : Simple identities, trigonometric equations, properties of triangles, solution of triangles, height and distance, inverse function.

Probability and Statistics : Basic concepts of probability theory, averages, dependent and independent events, frequency distributions, and measures of dispersions, skewness and kurtosis, random variable and distribution functions, mathematical expectations, binomial, Poisson, normal distributions, curve fitting, and principle of least squares, correlation and regression.
Linear Programming : Formulation of simple linear programming problems, basic concepts of graphical and simplex methods, revised simplex method, transportation and assignment problems, duality and integer programming.


Section B : Analytical Ability and Logical Reasoning : ( 20 Questions – Objective Type )

BIT Mesra MCA Questions in this section will test logical reasoning, quantitative reasoning, and visio – spatial reasoning.

Section C : Computer Awareness : ( 20 Questions – Objective Type )
Computer Basics : Organization of a computer, Central Processing Unit ( CPU ), Structure of instructions in CPU, input / output devices, computer memory, memory organization, back – up devices.
Data Representation : Representation of characters, integers, and fractions, binary and hexadecimal representations, Binary Arithmetic : Addition, subtraction, division, multiplication, single arithmetic and two complement arithmetic, floating point representation of numbers, normalized floating point representation, Boolean algebra, truth tables, Venn diagrams.

Computer Architecture : Block structure of computers, communication between processor and I / O devices, interrupts.
Computer Language : Assembly language and high – level language, Multiprogramming and time – sharing operating systems, Computer Programming in C.

Flow Chart and Algorithms
Operating Systems : Evolution of operating systems, types of operating systems, functions of an operating system, modern operating systems.

Section D : English : ( 20 Questions – Objective Type )
Use of articles and prepositions ( fill in the blanks or correct use ).
Idioms and phrases.
Synonyms.
Reading comprehension.
Expansion of an idea.
Sentence sequence ( jumbled sentences ).
Completion of a sentence ( with choices ).
Choice of appropriate word to fill in the blanks ( with options ).
Abridging sentences / paragraphs.

Selection process:
The selections will be made on the basis of marks obtained by the candidate in MCA Online Entrance Test conducted by the Institute.

Address:
Birla Institute of Technology, Mesra
Mesra
Ranchi, Jharkhand 835215

Map;
[MAP]Birla Institute of Technology, Mesra[/MAP]


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