#1
7th January 2017, 02:29 PM
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University of Madras Syllabus For BCA
Hi buddy I want to do BCA from University of Madras by distance learning mode and here looking for its syllabus so can you plz provide me same here ??
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#2
7th January 2017, 02:48 PM
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Re: University of Madras Syllabus For BCA
As you want I am providing University of Madras BCA distance education program syllabus : SYLLABUS FIRST YEAR PAPER I BCA 103 - MATHEMATICS Unit - I Sets, Relations and functions: Sets set operations – Cartesian products - Relation equivalence relation partition - partial order relation - Functions Inverse functions Composition of functions - Properties of functions - Binary operation. - Counting principles- The Pigeonhole principle - counting - permutations and combinations - combinatorial arguments - countable and uncountable sets – lattices. Boolean Algebra: Boolean functions Normal forms. Unit - II Binary operations – Semigroups – product and quotients of semigroups – Gropus – product and quotient groups. Linear Algebra: Types of matrices - Matrix operations canonical forms - Inverse of a matrix - Geometric properties of plane linear transformation - Rotation - Reflection Expansion and compressions - Shears - translation successive transformation - Inverse transformation - Rank and nullity - Linear systems and matrices - Methods of solution to Linear systems (Cramer’s Rule). Unit – III Analytical Geometry: pairs of straight lines - circle system of circles - parabola - ellipse - hyperbola - polar equations. (standard equations and simple properties)Three dimensional Analytical Geometry: The plane - The straight line - the sphere - the cone - and the cylinders - (Standard equations and simple properties) Unit – IV Calculus: Functions and limits - Differentiation successive differentiation - partial differentiation - maxima and minima - Tangents - normal - curvature and envelopes (simple problems). Integral calculus: Integration - Definite integrals - Reduction formulae - Geometric applications of integration area, volume are length. (simple problems) Unit – V Fourier series of Periodic functions on the interval [c, c+2pi] – Half-range series in [0,2pi] – Fourier Transforms. Ordinary Differential equations: First order but of higher degree equations – Second order and non-homogeneous linear differential equations with constant coefficients - second – order linear differential equations with variable coefficients(Euler’s form only) |