The admission test will carry objective type questions. It will consist of:
The suggested outline of the syllabus for the admission test is as follows:
Quantitative and Mathematical Ability Test
Algebra: Sets, groups, fields, vector spaces; Complex numbers: Demoivre’s theorem and its simple applications; matrices, determinants; Relation between roots sand co-efficients of an equation; Scalar and vector products, triple products.
Calculus: Real number system; Continuity and limits; Differentiation; Integration; Definite integral; Evaluation of lengths and areas of curves; Curvature; Asymptotes; Tracing of curves; Partial differentiation; Differential equations of first order and their solutions; Linear differential equations with constant coefficients; Homogeneous Linear differential equations.
Two-dimensions: straight lines, circles, parabola, hyperbola and ellipse; Classification of curves of second degree.
Three-dimensions: Spheres, quadric cones and cylinders.
Sequences: Sequence of real numbers; Convergent sequences, Cauchy sequences; Monotonic sequences; Bounds; Infinite series and their different tests of convergence; Absolute convergence; Uniform convergence.
Properties of continuous functions; Roll’s theorem, Mean Value theorem; Taylor’s and Mclaurin’s series, Maxima and Minima; Indeterminate forms.
Statistics and Linear Programming: Frequency distributions and measures of dispersion, skewness and kurtosis; Permutations and combinations, Probability; Random variables and distribution functions; Mathematical expectation and generating functions; Binomial, Poisson, Normal distribution; Curve fitting and principle of least squares; Correlation and regression; Sampling and large sample test; Test of significance based on t, x2 and F distributions.
Formulation of simple linear programming problems; basic concepts of graphical and simplex methods.
Deductive and Logical Ability Test
Interpretation of data, problem solving, flowcharts and algorithms;
Number system: binary, octal, hexadecimal; Truth values, logical operations, logic functions and their evaluation.
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