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7th January 2017, 02:48 PM
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Join Date: Mar 2013
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)





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