**VITMEE Syllabus for MCA 2019-20**

Vellore Institute of Technology Master’s entrance examination (VITMEE) For M.Tech and MCA Admission 2019-20 VITMEE Syllabus for MCA

**The duration of the Entrance Examination will be 2 hours. The Question Paper will contain 110 questions, with a maximum of 100 marks.**

**English**

Sentence correction and comprehension

**Logical Reasoning**

Questions on comprehension of a logical situation and questions based on the facts given in the passage.

**Mathematics**

Algebra: Indices, variation, arithmetic progression, geometric progression, harmonic progression, quadratic equations, permutation, combination, binomial theorem, logarithms, exponential series, logarithmic series.

Trigonometry: Sine and cosine of sum and difference of angles, sum and difference of sine and cosine, multiple angles, submultiple angle, general solution of trigonometric equation, properties of triangles, solution of triangles.

Analytic geometry (Two-dimensional): Rectangular Cartesian coordinates, distance between points, section ratio, straight line, circle, ellipse, parabola, hyperbola, tangent, normal.

Calculus: Function, limit, continuity, differentiation, chain rule, differentiation of implicit functions, parametric functions, application of differentiation, integration, integration by substitution, by parts, by partial fractions, definite integrals, application of definite integral.

Set Theory: Concept of set, set operations, cardinality, Cartesian product.

Matrices & Determinants: Addition, subtraction, multiplication and inverse of matrices, evaluation of determinant of order up to four.

Vector Algebra: Position vector, addition, subtraction, scalar multiplication, scalar product, vector product.

Statistics and probability

Frequency distribution, mean, median, mode, range, mean deviation, standard deviation, coefficient of variation, correlation, regression, probability, conditional probability, Baye’s theorem, binomial, Poisson, normal distribution.

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