





BIRLA INSTITUTE OF TECHNOLOGY, RANCHI 

MCA ENTRANCE 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
Coordinate Geometry: Rectangular Cartesian coordinates, 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) Questions in this section will test logical reasoning, quantitative reasoning, and visiospatial 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, backup 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 highlevel language, Multiprogramming and timesharing 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.


*As per MCA Entrance Notification 2014 

Note : The above information has been taken from the website of respective university/institute. Sanmacs India is no way responsible for the authenticity of data provided here in. For any discrepancy, the student should contact respective university/institute. 














