#1
16th April 2015, 04:33 PM
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Karunya Entrance Exam Portions
Is there any entrance exam is conducted for granting the admission into the Karunya University? If yes, then will you please tell me what is the eligibility for giving that entrance exam? I have completed 12th with PCM so am I eligible? Also provide me the syllabus of the Karunya Entrance Exam? also provide me the location map and the contact details of Karunya University?
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#2
21st August 2018, 03:23 PM
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Re: Karunya Entrance Exam Portions
Hi buddy here I am looking for Karunya university Entrance Exam syllabus of Mathematics Portions , so will you plz let me know from where I can get it ??
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#3
21st August 2018, 03:24 PM
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Re: Karunya Entrance Exam Portions
As you want here I am giving bellow Karunya university Entrance Exam syllabus of Mathematics Portions on your demand : Karunya university Entrance Exam syllabus of Mathematics Portions Applications of Matrices and Determinants: Adjoint, inverse properties, computation of inverses, solution of system of linear equations bymatrix inversion method. Rank of a matrix elementary transformation on a matrix, Cramers rule, non-homogeneous equations, homogeneous linear system and rank method. Complex Numbers: Complex number system - conjugate, properties, ordered pair representation. Modulus Properties, geometrical representation, polar form, principal value, conjugate, sum, difference, product, quotient, vector interpretation, solutions of polynomial equations, De Moivres theorem and its applications. Roots of a complex number nth roots, cube roots, fourth roots. Analytical Geometry of two dimensions: Definition of a conic general equation of a conic, classification with respect to the general equation of a conic, classification of conics with respect to eccentricity. Equations of conic sections (parabola, ellipse and hyperbola) in standard forms and general forms- Directrix, Focus and Latus rectum - parametric form of conics and chords. Tangents and normals cartesian form and parametric form- equation of chord of contact of tangents from a point (x1 ,y1 ) to all the above said curves. Asymptotes, Rectangular hyperbola Standard equation of a rectangular hyperbola. Vector Algebra: Scalar Product angle between two vectors, properties of scalar product and applications of dot products. Vector product right handed and left handed systems, properties of vector product and applications of cross product - Product of three vectors Scalar triple product, properties of scalar triple product, vector triple Product. Differential Calculus: Derivative as a rate measurer - rate of change, velocity, acceleration, related rates, derivative as a measure of slope, tangent, normal and angle between curves, maxima and minima. Mean value theorem - Rolles Theorem, Lagrange Mean Value Theorem, Taylors and Maclaurins series, L Hospitals Rule, stationary points, increasing, decreasing, maxima, minima, concavity, convexity and points of inflexion. Integral Calculus and its Applications: Simple definite integrals fundamental theorems of calculus, properties of definite integrals. Reduction formulae reduction formulae for ∫ sinnx dx and ∫ cosnx dx , Bernoullis formula. Area of bounded regions, length of the curve. |
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