There are 60 seats sanctioned for 5-Year Integrated M.C.A program of Utkal University.

5-Year Integrated M.C.A.

Number of Seats:
60

Eligibility:
Applicants must have passed +2 Examination with Mathematics/ Statistics/Business Mathematics with at least 50 % marks in aggregate (45 %
marks for SC/ST candidates).

Or

Three year diploma in engineering examination conducted by the State Council of Technical
Education & Training with at least 50 % marks in aggregate (45 % marks for SC/ST candidates).

Selection process:
On the basis of performance in Entrance test

Topics included in entrance test:
(i) Mathematics
(ii) Business Mathematics
(iii) Probability & Statistics
(iv) Computer Awareness
(v) Mental Ability
With weightage of 40%, 10%, 10% and 30% respectively.

Syllabus for Entrance Test:

MATHEMATICS (40%)
(A) Logic, Set Theory and Functions:
Statement, Negation, Implication, Conjunction, Disjunction, Truth Table Different Methods of proof such
as Induction methods (implication and contra positive methods).
Set, Subset, Power set of a set, Similarity, Union, Intersection, Complementation of sets, De Morgan’s
Laws. Cartesian products, Relations and Functions (trigonometric, exponential and quadratic
polynomials).


(B) Number System:
Arithmetic of Natural numbers, Rational numbers, Inadequacy of rationals, Irrationals, Properties of real
numbers, Order and Inequality, Complex Numbers.

(C) Trigonometry:
Review of trigonometric concepts up to compound angles, formula involving multiple and submultiples
angles, sum and product of sine cosine functions, General solutions of equations, Properties of triangles,
Inverse trigonometric functions.

(D) Co-ordinate Geometry:
Rectangular coordinate system, distance and division formula, Equation of lines in different forms, angle
between lines, distance of a point from a line, Change of axes (translation only) , polar form , parametric
form, Pair of lines and angle between them , Circles Direction Cosines of line, Equation of a plane, line and
sphere.

(E) Differential Calculus:
Limit (Convergence) concept of sequence, function, algebra of limit, left and right hand limit, limits of
some algebraic, trigonometric, inverse trigonometric, logarithmic, exponential functions, Continuity and
discontinuity , Derivative, Geometrical and physical meaning, derivative of sum, product, quotient of
functions, chain rule, derivative of algebraic, trigonometric, exponential, logarithmic, composite & inverse
functions, Continuity and differentiability. Derivatives of higher order (simple case) Partial Derivative
(two variables). Application of derivative, differentials, maxima and minima, tangent and normal of plane
curves L.Hospital’s Rule and indeterminate forms.

(F) Integral Calculus:
Ant derivative, Indefinite integral, Integration by methods of substitution, by parts by partial fraction.
Integration of algebraic, trigonometric, logarithmic, exponential functions, Definite integrals, properties,
areas of bounded regions, Differential equation of the form dy/dx = f(x), dy/dx=f(x) g (y), y11 = f(x).

(G) Determinants and Matrices:
Properties of determinant (up to third order), minor & cofactors, Cramer’s rule, Matrices, algebra of
matrices, solutions of simultaneous equations by inverse of matrices.

(H) Permutation & Combination:
Principle of counting, Permutation & Combination with & without repetition, Binomial theorem and
Combinatorial identities.
II. BUSINESS MATHEMATICS (10%):
Profit and Loss, Stock and Share, Discounting of bill of exchange, Partnership, Simple and Compound
Interest, Annuities, Invoicing.

SECTION-B
I. PROBABILITY AND STATISTICS (10%):
Measures of central tendencies and dispersion, correlation and regression, concept of probability, sample
space, calculation of probability, addition and multiplication laws of probability, probability of compound
and independent events.

II. COMPUTER AWARNESS (10%):

Function of different parts of computer system. Steps in problem solving using concepts of algorithm and
flowcharts. Computer arithmetic: decimal, binary, octal hexadecimal numbers and their conversion and
operation. Simple programs in BASIC. Computer terminology.

III. MENTAL ABILITY (30%):
Resoning Logic, Quantitative Aptitude etc.


Here is the attachment .

Integrated MCA at Utkal University

Attached Files

Integrated MCA at Utkal University.pdf (586.5 KB, 100 views)