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Semester Courses of M.A/M.Sc. (Mathematics) syllabus

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Math
by EdwinSRS
Semester Courses of M.A/M.Sc. (Mathematics)
The course of M.A/M.Sc. (Mathematics) will be spread in two years - Previous & Final. There
will be two semester examinations and a viva-voce & project work examination every year.
M.A./ M.Sc. Previous (Mathematics)
(effective from session 2010-2011)
The M.A./ M.Sc. Previous (Mathematics) examination will consist of two semesters, called first
and second semesters. Their examinations will be held in the months of December and April
respectively. In each of these semester examinations there will be five compulsory papers and
one optional paper. Each paper will be of three hours’ duration and of 50 maximum marks,
except where stated otherwise. Besides there will be a viva-voce & project work examination of
50 marks in the second semester.
Format of the Question Paper.
There will be one compulsory question consisting of 6 parts of short answer type question
based on the whole course, out of which 5 parts will have to be answered. Besides, there will be
6 questions, ordinarily consisting of two parts (a) and (b), out of which 4 questions will have to
be answered. Thus in all 5 questions will have to be attempted and 7 questions will have to be
set. All questions will carry equal marks, except where stated otherwise.
First Semester
Compulsory Papers
Paper I:Groups and Canonical Forms
Paper II:Topology-I
Paper III:Differential and Integral Equations
Paper IV:Riemannian Geometry
Paper V:Hydrodynamics
Optional Papers
Any one of the following papers will have to be opted.
Paper VI (a):Spherical Astronomy-I
Paper VI (b):Operations Research-1
Paper VI (c):Fuzzy Sets
Paper VI (d):Programming in C (with ANSI features)

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(i) Theory:30 marks
(ii) Practical:20 marks (2 hours’ duration) Paper VI (e):History of Mathematics-I
Paper VI (f):Dynamics of Real Gases-I
Second Semester
Compulsory Papers
Paper I:Fields and Modules
Paper II:Topology-II
Paper III:Partial Differential Equations
Paper IV:Differentiable Manifolds
Paper V:Fluid Dynamics
Optional Papers:
Any one of the following papers will have to be opted. Those who have offered Paper VI (a) in
First Semester will offer Paper VI (a) in second semester, and similarly for other optional
papers.
Paper VI (a):Spherical Astronomy-II
Paper VI (b):Operations Research-II
Paper VI (c):Fuzzy Logic
Paper VI (d):Numerical Methods
(i) Theory :30 marks
(ii) Practical:20 marks (2 hours’duration)
Paper VI (e):History of Mathematics-II
Paper VI (f):Dynamics of Real Gases-II
Viva Voce and Project Work: 50 marks
There will be a Viva-Voce and Project Work based on all the 12 papers of M.A./M.Sc. Previous
(Mathematics). Under the project, the candidate will present a dissertation in his/her own
handwriting. The dissertation will consist of one theorem/article with proof or one problem with
solution, relevant definitions with examples and/or counter-examples, wherever necessary, from
each paper of Mathematics studied in First and Second semesters. The dissertation will of 20
marks and the viva-voce will be of 30marks. For viva-voce examination and evaluation of project
work there will be a board of examiners consisting of a coordinator, an external examiner and
an internal examiner. The dissertation will be forwarded by the Head of Department at the
university centre and by the Principal of the college at the college centre.
M.A./ M.Sc. First Semester
Mathematics
Paper I

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Math by EdwinSRS Semester Courses of M.A/M.Sc. (Mathematics) The course of M.A/M.Sc. (Mathematics) will be spread in two years - Previous & Final. There will be two semester examinations and a viva-voce & project work examination every year. M.A./ M.Sc. Previous (Mathematics) (effective from session 2010-2011) The M.A./ M.Sc. Previous (Mathematics) examination will consist of two semesters, called first and second semesters. Their examinations will be held in the months of December and April respectively. In each of these semester examinations there will be five compulsory papers and one optional paper. Each paper will be of three hours’ duration and of 50 maximum marks, except where stated otherwise. Besides there will be a viva-voce & project work examination of 50 marks in the second semester. Format of the Question Paper. There will be one compulsory question consisting of 6 parts of short answer type question based on the whole course, out of which 5 parts will have to be answered. Besides, there will be 6 questions, ordinarily consisting of two parts (a) and (b), out of which 4 questions will have to be answered. Thus in all 5 questions will have to be attempted and 7 questions will have to be set. All questions will carry equal marks, except where stated otherwise. First Semester Compulsory Papers Paper I:Groups and Canonical Forms Paper II:Topology-I Paper III:Differential and Integral Equations Paper IV:Riemannian Geometry Paper V:Hydrodynamics Optional Pap ...
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