| November 16th, 2019 12:59 PM | |
| ReenaK | 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 |
| November 16th, 2019 12:02 PM | |
| Unregistered | M Sc Maths Syllabus Osmania University I want the syllabus of M.Sc. Mathematics program of Osmania University so will you provide me? |
