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Total 100 questions of multiple choice types will be set with 25 questions from Section-A, 25 questions from section-B and 50 questions from Section C. Each question will carry 1 mark for correct answer and -1/3 mark for each wrong answer. The syllabus is given only a broad outline. The standard of the entrance test shall be that required to test the candidate's capability to pursue the course. Standard of mathematical ability will be of 10+2 level, mental ability will be that expected from graduate students and level of Information Technology will be that of O-level course of DOECC, Government of India.
SECTION-A Mathematical ability: Algebra: Sets, groups, fields, vector spaces, complex numbers, Matrices, determinants, relation between roots and coefficients of an equation, scalar and vector products, triple products. Calculus: Real number system, differentiation, integration, definite integral, evaluation of lengths and area of curves, tracing of curves, partial differentiation. Geometry: 2 dimensions, straight lines, circles, parabola, hyperbola and ellipse, three dimensions: spheres, cones and cylinders. Real analysis: Sequence of real numbers, convergence sequences, and properties of continuous functions, maxima and minima. Statistics: Frequency distributions and measures of dispersion, permutation and combination, probability, binomial, Poisson, normal distribution, principle of least squares, correlation and regression, sampling and large sample tests, tests of significance. SECTION-B Mental ability: Standard of the mental ability tests will be that expected from degree holders. SECTION-C: Sample Questions for Entrance Examination |