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July 19th, 2014, 09:53 AM
Super Moderator
 
Join Date: Mar 2012
Re: Utkal University MSc Maths Entrance Exam form Sale date

Here I am giving you information about dates to apply for MSC entrance examination organized by Utkal University

Important Dates:
Issue of forms : may 2014
Last date for submission of application form: 05th June 2014
Date of Entrance test for M.Sc (Computer Science): 26th June 2014
Admission (tentative): 03rd week of July 2014
Commencement of classes (tentative): 4th Week of July 2014

Now dates for MSC entrance exam is over , next time MSC entrance exam notice will publish in May month of 2015 year .

Entrance exam syllabus :
SECTION – A I. 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).
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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.


Contact details :
Utkal University
Vani Vihar,
Bhuvaneswar,
Odisha 751007 ‎
0674 256 7387 ‎



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