MCA Entrance Syllabus
Test 1: 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 and co-efficient of an equation, Scalar and Vector products, triple products
Calculus: Real number system, continuity and limits, differentiation, integration, definite integral, evaluation of lengths and area of curves, curvature, partial differentiation, differential equations of first order and their solutions, linear differential equations with constant coefficients, homogeneous linear differential equations.
Geometry: Two-dimensions: straight lines, circles, parabola, hyperbola and ellipse, classification of curves of second type.
Three-dimensions: Spheres, quadratic cones and cylinders.
Real Analysis: Sequences, sequences 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, Rolle's theorem, mean value theorem, Taylor's and Maclaurin's series, maxima and minima, indeterminate forms.
Statistics and Linear Programming: Frequency distributions and measures of dispersion, skew ness 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. Formulation of simple linear programming problems, basic concepts of graphical and simplex methods.
Test 2: Deductive and Logical Ability Test
Interpretation of data, problem solving, flow charts and algorithms, number system, binary, octal, hexadecimal. Truth-values, logical operations, logic functions and their evaluation.
