University MSc Math 1st Sem Syllabus Details: Hello Dear Students you all want to take Admission in PG Course with MSc Mathematics in any University present in Bihar must Download and Check this MSc Mathematics 1st Semester Syllabus in PDF format and then will take Admission.
MSc Mathematics 1st Semester (CC-I) Syllabus:
Unit 1: Homomorphism: Group actions. Sylow theorems, Normal and subnormal series
composition series of a group. Jordan- Holder Theorem, Solvable groups,
commutator subgroup of a group. Nilpotent groups
Unit 2: Ring homomorphism, isomorphism, quotient rings, ideals, Kernel of ring
homomorphism, principal ideal ring and domain, prime and maximal ideal, Euclidean
domain.
Unit 3: Extension fields . algebraic and transcendental extension, splitting field of
Polynomial, separable and inseparable extension, normal extension. constructible
real numbers,
Unit 4: Cyclic Modules. simple Modules, semi-simple Modules, Schur’s Lemma, Free
Modules.
Unit 5: Solution of equations by radicals, insolvability of equations of degree 5 by
radicals.
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University MSc Mathematics 1st Semester Syllabus:
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Is this University MSc Mathematics 1st Semester Syllabus is based on CBCS?
Yes, This University MSc Mathematics 1st Semester Syllabus is based on CBCS pattern.