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  #1  
6th May 2015, 10:02 AM
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MDU Maths 1 Syllabus

My Sister is doing M.Sc. Mathematics 1st Semester from MDU (Maharshi Dayanand University), Rohtak and I am looking for Schemes of Examination and Syllabus of MDU M.Sc. Mathematics 1st Semester for her so please provide me the same?
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  #2  
17th May 2018, 03:58 PM
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Re: MDU Maths 1 Syllabus

Can you provide me the syllabus of M.Sc. Mathematics 1st year (Semester-I & II) offered by Maharshi Dayanand University Rohtak - MDU Rohtak?
  #3  
17th May 2018, 04:31 PM
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Re: MDU Maths 1 Syllabus

The syllabus of M.Sc. Mathematics 1st year (Semester-I & II) offered by Maharshi Dayanand University Rohtak - MDU Rohtak is as follows:

Syllabus- 1st SEMESTER
12MM 411: Advanced Abstract Algebra-I


Unit - I (2 Questions)
Groups : Zassenhaus lemma, Normal and subnormal series, Composition series, Jordan-Holder theorem, Solvable series, Derived series, Solvable groups, Solvability of Sn the symmetric group of degree n ≥ 2.

Unit - II (2 Questions)
Nilpotent group: Central series, Nilpotent groups and their properties, Equivalent conditions for a finite group to be nilpotent, Upper and lower central series, Sylow-p sub groups, Sylow theorems with simple applications. Description of group of order p2 and pq, where p and q are distinct primes(In general survey of groups upto order 15).

Unit - III (2 Questions)
Field theory, Extension of fields, algebraic and transcendental extensions Splitting fields, Separable and inseparable extensions, Algebraically closed fields, Perfect fields.

Unit - IV (2 Questions)
Finite fields, Automorphism of extensions, Fixed fields, Galois extensions, Normal extensions and their properties, Fundamental theorem of Galois theory, Insolvability of the general polynomial of degree n ≥ 5 by radicals


Syllabus M.Sc. Mathematics 1st year Maharshi Dayanand University Rohtak






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