#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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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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