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| PG - M.Sc. MATHEMATICS |
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Objective of the Course
Mathematics to-day is penetrating all fields of human endeavor and therefore it is necessary to prepare the students to cope with the advanced developments in various fields of Mathematics. The objectives of this course are the following:
- To import knowledge in advanced concepts and applications in various fields of Mathematics.
- To provide wide choice of elective subjects with updated and new areas in various branches of Mathematics to meet the needs of all students.
Duration of the Course
The course of study of Master of Science in Mathematics shall consist of two academic years.
Eligibility for the Admission
A candidate who has passed B.Sc. Mathematics / B.Sc. Mathematics (Computer Applications) degree of this University or any of the above degree of any other University accepted by the Syndicate as equivalent thereto, subject to such condition as may be prescribed therefore shall be permitted to appear and qualify for the Master of Science (M.Sc.,) Degree Examination in Mathematics of this University after a course of study of two academic years.
Course of Study
The course of study shall comprise instruction in the following subjects according to the syllabus and books prescribed from time to time.
| S. No. |
Paper |
Paper Code |
Title of the Paper |
| I Year |
| 1 |
I |
07PMA01 |
Algebra |
| 2 |
II |
07PMA02 |
Analysis |
| 3 |
III |
07PMA03 |
Differential Equations |
| 4 |
IV |
07PMA04 |
General Topology |
| 5 |
V Optional |
07PMAZ01 |
Mechanics (or) |
| 07PMAZ02 |
Fluid Dynamics |
| II Year |
| 6 |
VI |
07PMA05 |
Complex Analysis |
| 7 |
VII |
07PMA06 |
Mathematical Statistics |
| 8 |
VIII |
07PMA07 |
Functional Analysis |
| 9 |
IX Optional |
07PMAZ03 |
Differential Geometry (or) |
| 07PMAZ04 |
Difference Equation |
| 10 |
X Optional |
07PMAZ05 |
Discrete Mathematics & Graph Theory (or) |
| 07PMAZ06 |
Numerical Methods |
Examinations
The examination shall be of three hours duration for each paper at the end of each year. The candidate failing in any subject(s) will be permitted to appear for each failed subject(s) in the subsequent examination.
Scheme of Examinations
First year
| S. No. |
Paper |
Title of the Paper |
Dura-tion |
Marks |
| 1 |
I |
Algebra |
3 Hrs |
100 |
| 2 |
II |
Analysis |
3 Hrs |
100 |
| 3 |
III |
Differential Equations |
3 Hrs |
100 |
| 4 |
IV |
General Topology |
3 Hrs |
100 |
| 5 |
V Optional |
Mechanics (or) |
3 Hrs |
100 |
| Fluid Dynamics |
Second year
| S. No. |
Paper |
Title of the Paper |
Dura-tion |
Marks |
| 6 |
VI |
Complex Analysis |
3 Hrs |
100 |
| 7 |
VII |
Mathematical Statistics |
3 Hrs |
100 |
| 8 |
VIII |
Functional Analysis |
3 Hrs |
100 |
| 9 |
IX Optional |
Differential Geometry (or) |
3 Hrs |
100 |
| Difference Equation |
| 10 |
X Optional |
Discrete Mathematics & Graph Theory (or) |
3 Hrs |
100 |
| Numerical Methods |
Question Paper Pattern
Time : 3 Hours Maximum Marks : 100
Part – A (5 x 5 = 25 Marks)
Answer ALL Questions
Two questions from each unit with internal choice.
Part – B (5 x 15 = 75 Marks)
Answer All Questions
Two questions from each unit with internal choice.
Passing Minimum
The candidate shall be declared to have passed the examination if the candidate secures not less than 50% marks in the University Examination in each paper.
Candidate who does not obtain the required minimum marks for a pass in a paper shall be required to appear and pass the same at a subsequent appearance.
Classification of successful candidates
Candidates
who secure not less than 60% of the aggregate marks in the whole
examination shall be declared to have passed the examination in First Class.
All other successful candidates’ hall be declared to have passed in the Second Class.
Candidates who obtain 75% of the marks in the aggregate shall be deemed to have passed the examination in First Class with Distinction provided they pass all the examinations prescribed for the course at the first appearance.
Candidates who pass all the examinations prescribed for the course in
the first instance and within a period two academic years from the
years of admission to the course only are eligible for University Ranking
Maximum duration for the completion of the PG Programme
The maximum duration for completion of the PG Programme shall not exceed four years.
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