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# Vellore Institute of Technology MCA Entrance Exam Syllabus

### Vellore Institute of Technology MCA Entrance Exam Syllabus

English
Sentence Correction, Comprehension

Logical Reasoning

Mathematics
Algebra sets, relations and functions, Summation of series, Progressions (Arithmetic, Geometric and Harmonic), Partial fractions, complex numbers, logarithms.

Differential and Integral Calculus
Limit-Continuity-Differentiability, Successive differentiation, Leibniz theorem (definition and applications), Mean Value Theorems (Role’s and Lagrange’s definitions only), Maxima and Minima, Indefinite and definite integrals, Trapezoidal, Simpson’s rules of integration, Partial differentiation.

Statistics
Mean, median, mode, moments, mean deviation, standard deviation. Moments, correlation and regression.

Probability
Probability, conditional probability, Baye’s theorem, Binomial, Poisson, normal distributions.

Coordinate Geometry
Distance between two points, section formulae, collinear points, centroid. Translation and rotation of coordinates, plane, perpendicular and parallel conditions, Straight-line (slope, slope-intercept form , intercept form, normal form), parallel lines; perpendicular lines; intersection of two lines; Angle between two lines, line passing through intersection of two lines, foot of perpendicular, circle given center and radius, circle passing through extremities of a diameter, circle passing through three points, great circle.

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