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  #1  
June 8th, 2016, 10:24 AM
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IIPS Devi Ahilya University

Can you provide me the syllabus of MCA (6 Years) II Semester as offered by IIPS or International Institute of Professional Studies of Devi Ahilya University, Indore?
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  #2  
June 8th, 2016, 11:30 AM
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Join Date: Mar 2013
Re: IIPS Devi Ahilya University

The syllabus of MCA (6 Years) II Semester as offered by IIPS or International Institute of Professional Studies of Devi Ahilya University, Indore is as follows:

Course Contents:

UNIT I
Curve tracing: Introduction, pre-requisites, for the curve tracing, maxima & minima,
concavity and convexity of the curve, Singular points, asymptotes, symmetry, tangents, Main
points of tracing the curve in Cartesian and polar form, some problems on curve tracing.
Improper integral: Improper Integral definition, types of the improper integral, their
convergence, Beta Gamma function and their properties, some important deductions followed
by some numerical problems

UNIT II
Rectification: Methods and formula for finding out the length of curve in Cartesian and polar
form, numerical, intrinsic equation. Derivation of formula for finding the area under plane
curve, followed by some problem solving.
Multiple integrals: Integration of function of two and three variables. Double and triple
integral. Drichlet integral. Change of order of integration. Use of double and triple integral in
finding the area and volumes of Cartesian curves.

UNIT III
Groups and their general properties : Binary Operation, algebraic structure, definition and
example of groups, examples. Order of an element in a group. General properties of a group.
Modulo System. Subgroup, complex subgroup, definition and examples, algebra of
complexes. Criterion for a complex to be a subset of a group. Union and intersection of
subgroups. Cyclic group and subgroups generated by a subset of a group. Theorems
generating system of a group

UNIT IV
Coset and coset decomposition : Coset definition, properties of cosets. Cosets decomposition.
Partioning of a group. Relation of congruency modulo in subgroups. Lagrange theorem with
its corollaries. Index of a subgroup in a group. Fermat and eular theorems. Multiplication of
two subgroups. Order of the product of subgroup of finite order.
Normal subgroup & quotient group: Definition, example and theorems on normal subgroup
quotient groups. Cener and normalize of a group. Conjugate, self-conjugate elements of
different groups.

UNIT V
Homomorphism and isomorphism of groups : Definition of homomorphism of groups,
examples, various types of homomorphism, auto-homomorphism, inner
automorphism, theorem, maximal normal subgroup. Permutation, Transformation
groups and Cayley’s thermo.
Ring and integral domain : Definition, examples and properties of ring. Types of rings, sub
rings, Ideal, Types of ideals and their properties, Euclidean ring. Homomorphism and
isomorphism of rings, Kernel of a ring homomorphism. Theorems on ring
homomorphism, Quotient ring fundamental theorem on ring homomorphism.
Integral domain : Integral domain, sudomain, ordered integral domain, theorems. The
characteristics of the integral domain, definition and theorems.

IIPS Devi Ahilya University MCA Sem II Syllabus









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