Integral university Entrance Test ( IUET )

Integral University, a seat of educational excellence, is a premier university in Lucknow, the Capital of Uttar Pradesh, India. The university had been established under the Act number 9 of 2004 by the U. P. State Government. It is rather historic that, within a span of six years the Institute of Integral Technology on account of its educational excellence, credibility and value based education in a highly disciplined and decorous environment was recognized as a noted seat of learning all across the country and thus was granted a University status in 2004. Integral University has announced admission to MCA First year and Lateral entry courses for the year 2015. Admissions are based on combined Entrance Test of IUET-2015 in the order of merit of the Entrance Test.

IUET MCA 2021 Mathematics Syllabus

Integral University Entrance Test ( IUET ) Entrance Examination syllabus for Mathematics -2015

UNIT-1

Algebra : Sets, relations & functions, De-Morgan's Law, Mapping, Inverse relations, Equivalence relations, Peano's axioms, Definition of rational and integers through equivalence relation, Indices and Surds, solutions of simultaneous and quadratic equations, A.P., G.P. and H.P., Partial fraction, Binomial Theorem for any index, exponential series, Logarithmic Series, Determinants and their use in solving simultaneous linear equations, Matrices, algebra of matrices, inverse of a matrix, Use of matrix for solving linear equations.

Trigonometry : Identities, Trigonometric equations, properties of triangles, height and distance, Inverse function, Complex numbers and their properties, Cube root so unity, De-Moivre's theorem.

UNIT-2

Co-ordinate Geometry: Cartesian system of rectangular co-ordinates in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

Straight Lines : Various forms of equations of a line, intersection of lines, angles between two lines,condition for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocenter and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines.

Circle & Conic Sections : Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola,ellipse and hyperbola) in standard forms.

UNIT-3

Differential Calculus : Limit, Continuity and Differentiability: Real valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two. Rolle's and Lagrange's Mean Value theorems. Applications of derivative : Rate of change of quantities, monotonic - increasing and decreasing functions, Maxima and minima of functions of one variable, tangent and normal.

UNIT-4

Integral Calculus : Integral as an anti- derivative, Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities.

Evaluation Of Simple Integrals : Integral as limit of a sum, Fundamental theorem of calculus, Properties of definite integrals. Evaluation of definite integrals, determining areas of the regionsbounded by simple curves in standard form.

UNIT-5

Vector Algebra : Vector and scalar quantities, addition of vectors, components of a vector in two dimensional and three dimensional space, scalar and vector double and triple product.

Statistics And Probability : Mean, median, mode and standard deviation. Probability of an event, addition and multiplicationtheorems of probability, Baye's theorem.