GURUKULA KANGRI VISHWAVIDYALAYA

SYLLABI FOR ENTRANCE EXAMINATION

(A) Mathematics & Statistics 70 Marks

Linear Algebra 10 Marks
Solution of simultaneous equations, addition and multiplication of matrices, computation of inverse and rank of matrix, vector spaces sub spaces, bases and dimensions, linear transformation.

Co-ordinate Geometry 10 Marks
Circles, tangent and normal, orthogonal circles, coaxial system of circles, parabola, ellipse and hyperbola, their equations in standard form and simple properties.

Differential and Integral Calculus 10 Marks
Differentiation of algebaric, exponential and logarithmic functions, Application to simple problems of maxima and minima, partial differentiation of the funtions of two variables, integration of functions by substituation, partial fractions, integration by parts. Definite integrals and their properties for finding areas, volumes and surfaces of simple curves, simpson's and trapezoidal rules.

Differential and Difference Equations 10 Marks
Linear differential equation of first degree and first order, difference equations of first order.

Vector 10 Marks
Vector product of two vectors, scalar triple product and vector triple product, differentiation and integration of vectors.

Number System 10 Marks
Natural numbers, integers, rational and irrational numbers, complex and real numbers, binary numbers.

Statistics 10 Marks
Theory of probability, Averages dispersion, cofficient of variation, skewness, coefficient of correlation and interpolation, fitting of curves, method of least squares, Binomal, Poisson and normal distribution.

(B) Mental Ability 15 Marks
Series, figure, characters, words etc. matching and sequence completeness, logical functions, truth tables etc.

(C) General Awareness 15 Marks
About current affairs and computers.

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