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Old November 16th, 2019, 12:02 PM
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Default M Sc Maths Syllabus Osmania University

I want the syllabus of M.Sc. Mathematics program of Osmania University so will you provide me?
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Old November 16th, 2019, 12:59 PM
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Default Re: M Sc Maths Syllabus Osmania University

I am providing you the syllabus of M.Sc. Mathematics program of Osmania University

Osmania University M.Sc. Mathematics syllabus

Algebra

MM 101 Paper I Semester I


Unit I
Automaphisms- Conjugacy and G-sets- Normal series solvable groups- Nilpotent groups. (Pages
104 to 128 of [1] )
Unit II
Structure theorems of groups: Direct product- Finitly generated abelian groups- Invariants of a
finite abelian group- Sylows theorems- Groups of orders p2,pq . (Pages 138 to 155)
Unit III
Ideals and homomsphism- Sum and direct sum of ideals, Maximal and prime ideals- Nilpotent
and nil ideals- Zorn’s lemma (Pages 179 to 211).
Unit-IV
Unique factorization domains - Principal ideal domains- Euclidean domains- Polynomial rings
over UFD- Rings of traction.(Pages 212 to 228)
Text Books:
[1] Basic Abstract Algebra by P.B. Bhattacharya, S.K. Jain and S.R. Nagpanl.
Reference: 1] Topics in Algebra by I.N. Herstein

Analysis

Paper-II

Unit I

Metric spaces- Compact sets- Perfect sets- Connected sets
Unit II
Limits of functions- Continuous functions- Continuity and compactness Continuity and
connectedness- Discontinuities – Monotone functions.
Unit III
Rieman- Steiltjes integral- Definition and Existence of the Integral- Properties of the integralIntegration of vector valued functions- Rectifiable waves.
Unit-IV
Sequences and series of functions: Uniform convergence- Uniform convergence and
continuity- Uniform convergence and integration- Uniform convergence and differentiationApproximation of a continuous function by a sequence of polynomials.
Text Books:
[1] Principles of Mathematical Analysis (3rd
Edition) (Chapters 2, 4, 6 ) By Walter Rudin,
Mc Graw-Hill Internation Edition


Osmania University M.Sc. Mathematics syllabus








Contact-

Osmania University
Osmania University Main Rd, Amberpet, Hyderabad, Telangana 500007
040 2768 2444
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