Delhi University MCA Entrance Exam Syllabus

The admission test will carry objective type questions. It will consist of:

  1.  Quantitative and Mathematical Ability Test
  2.  Deductive and Logical Ability Test

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.

Real Analysis:
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.