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Home > AUCET 2004 > Entrance Tests > 12 - Computer Science & Statistics
AUCET 2004 Information about Entrance Tests 12 - Computer Science & Statistics
The syllabus prescribed hereunder for the tests is generally the same as the one followed for the B.Sc. / B.Com. / B.A. Degree under the Common Core Sheme 1995-98, unless otherwise specified.
| Test No & Subject
| 12 - Computer Science & Statistics
| | Part-A
| Statistics: Measures of central tendency: Mean, Median and Mode. Measures of Dispersion: Range, Quartile Deviation, Mean Deviation, Standard Deviation and Coefficient of Variation.
Random Experiment, Random Event, Elementary Events, Exhaustive Events, Mutually Exclusive Events, Independent Events. Classical definition of Probability-Relative Frequency approach to Probability-Sample Space, Sample Events. Addition and Multiplication Theorems. Random variable; Distributive functions, Probability density functions, Mean and Variance of Random Variables. Theoretical discrete distributions like Binomial, Poisson distribution-Mean and Variance of above distributions(without derivations).
Reasoning and Mental Ability: According to GMAT syllabus.
| | Part-B
| Calculus : Differentiation: Definition, Differentiation of a function at a point and on an interval. Derivative of a function. Differentiation of Sum, Difference, Product and Quotient of function, Derivatives of Composite, Implicit, Parametric, Inverse circular, Hyperbolic and Inverse Hyperbolic functions, Logarithmic differentiation, Derivative of a function with respect to another function. Successive differentiation: Leibnitz theorem; Applications of Leibnitz theorem; Applications of Differentiation: Errors and approximations, geometrical interpretations of derivative, equations of tangent and normal at a point on the curve ; Lengths of tangent, normal, subtangent, subnormal at a point; derivative as a rate measure; increasing and decreasing functions; criteria for maxima and minima of functions in single variable- Partial differentiation of the first and second orders only.
Integral Calculus : Integration as the inverse process of differentiation-Indefinite and definite integral - standard integral covering algebric, trigonometric, exponential and hyperbolic functions - methods of integration, substitution methods - integration by parts - evaluation of definite integral, properties of definite integral. Reduction Formulae.
Definition of ordinary differential equations - degree and order of an ordinary differential equations - formation of differential equation - general and particular solution and premitive - solution of first order differential equations.
| | Part-C
| Matrix Theory: Types of matrices, addition and multiplication of matrices, inverse of a matrix, determinant of a matrix, determinant of second and third order - singular and non-singular matrices. Solution of simultaneous linear equations in two and three variables by Cramer's rule - matrix inversion method and Gauss Jordan method.
Trigonometry: Trigonometric ratios in compound angles, trigonometric ratios of multiple - sub multiple angles. Inverse circular functions, hyperbolic functions. Properties of triangles. Complex numbers and De Moivre's Theorem.
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