UKSEE 2018 is conducted by Uttarakhand Technical University for admission to acdemic session 2018-19. The University has been assigned the task of conducting UKSEE entrance exam for admission to first year of MCA, BHMCT, B. Pharmacy,MBA,M.Pharma,M.Tech and to second year of B. Tech. & B. Pharmacy, MCA programmes offered at University Departments and Government/Private Institutes of Uttarakhand (hereafter referred to as institute) for the academic year.
1. Mathematics
a. Modern Algebra : Idempotent law, identities, complementary laws, Demorgan’s theorem, mapping, inverse relation, equivalence relation, Piano’s Axiom, definition of rational numbers and integers through equivalence relation.
b. Algebra : Surds, solution of simultaneous and quadratic equations, arithmetic, geometric and harmonic progression, Binomial theorem for any index, logarithms, exponential and logarithmic series, determinants.
c. Probability: Definition, dependent and independent events, numerical problems on addition and multiplication of probability, theorems of probability.
d. Trigonometry: Simple identities, trigonometric equations, properties of triangles, use of mathematical tables, solution of triangles, height and distance, inverse functions, DeMoiver’s theorem.
e. Co-Ordinate Geometry : Co-Ordinate geometry of the straight lines, pair of straight lines, circle, parabola, ellipse and hyperbola and their properties.
f. Calculus : Differentiation of function of functions, tangents and normal, simple example of maxima of minima, limits of functions, integration of function (by parts, by substitution and by partial fraction), definite integral (application to volumes and surfaces of frustums of sphere, cone and cylinder).
g. Vectors: Position vector, addition and subtraction of vectors, scalar and vector products and their applications.
h. Dynamics: Velocity, composition of velocity, relative velocity, acceleration, composition of acceleration, motion under gravity, projectiles, laws of motions, principles of conservation of momentum and energy, direct impact of smooth bodies, pulleys.
i. Statics: Composition of co-planar, concurrent and parallel forces, moments and couples, resultant of set of coplanar forces and conditions of equilibrium, determination of Centroides in simple case, problems involving friction.
2. Statistics: Theory of probability, Mean, Median, Mode, Dispersion and Standard Deviation.
3. Logical Ability : Questions to test analytical and reasoning capability of candidates.
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