CHRIST (Deemed to University), Bangalore

DEPARTMENT OF mathematics

sciences

Syllabus for
Master of Philosophy (Mathematics)
Academic Year  (2018)

 
    

    

Introduction to Program:
Department of Mathematics offers Master of Philosophy Programme in Mathematics with any one of the specialization on Fluid Mechanics, Graph Theory, Riemannian Geometry and Number Theory.
Assesment Pattern

Assessment Pattern

Each paper of the semester will be assessed upon 100 marks (Continuous Internal Assessment (CIA) – 45 marks, Attendance –5 marks and End Semester Examination - 50 marks).

 

The internal assessment (comprising various components such as seminar, literature survey, presentation, class test and so on) will be done periodically and the CIA marks will be sent to the Controller of Examination through Dean of Science and a copy forwarded to the General Research Coordinator as per the following guidelines:

CIA 1: 10 Marks assessment

CIA 2: 25 Marks assessment

CIA 3: 10 Marks assessment

     The end semester examination will be conducted at the end of second semester for Research Methodology and for each elective paper.   The Maximum marks for each paper will be 100 and the duration is three hours.

     Two sets of independent question papers for each subject, completely sealed, will be sent to the COE through the Coordinator. The question paper should reach the coordinator at least 15 days in advance.  

     There is no minimum mark required for CIA. The minimum mark to pass in ESE for each paper is 50%. The minimum mark to pass in each paper is 50% aggregate of CIA marks and ESE marks.

     In case a candidate fails due to low marks in CIA, he/she can re-register for that subject with a payment of required fee and complete the CIA requirements, by attending the classes along with the other candidates as directed by the coordinator.

If a candidate fails due to low marks in ESE, he/she can appear for the subject by paying the prescribed fee, along with the other candidates as scheduled by the office of examinations.

Each candidate shall work under the supervision of a guide. Specific guiding for the research program/Dissertation may commence from the middle of first semester. The HOD/Coordinator will allot guides to the candidates approved by the Dean in the middle of the first semester depending upon the area of specialization.  

 

Submission of Dissertation

The title page of dissertation, contents etc. should strictly conform to the format as prescribed by the university and the dissertation (all copies) should carry a declaration by the candidate and certificate duly signed and issued by the guide.  The dissertation should be hard bound. The candidate shall submit five soft bound copies and a soft copy (CD) of his/her dissertation work for assessment.

 

Adjudication of the M. Phil Dissertation

The dissertation submitted by the candidate under the guidance of the guide will be assessed by two experts (one internal and one external).

The candidates also have to appear for final viva-voce. Assessment based on the viva-voce and the dissertation, along with the assessment of theory papers of both I & II semesters will be considered to declare the results.

The candidates will be provided with marks card and a degree certificate. The grade points and the class obtained will be entered along with the marks on the marks card.

 

NB:-Cancellation M.Phil. Admission

The admission of the candidate will be cancelled under the following circumstances.

1)      Fails to secure 85% attendance.

2)      Fails to submit the documents / requirements related to internal assessment.

3)      Does not pay the course fee within the stipulated time.

4)      Fails to submit the dissertation within the stipulated time.

Examination And Assesments

I Semester

Course Code

Subjects

Hrs. /Week

(60 Hrs Course)

Max.

Marks

Credit

RMT 131

General Research Methodology

4

100

4

 

II Semester

Course Code

Title

Hrs. /

week

(45 Hrs Courses)

Max.

Marks

Credit

RMT 231

Philosophy of Mathematics

3

100

3

Electives : Choose any one – each elective group has one paper

Elective Group 1: Fluid Mechanics

RMT 241A

Advanced Fluid Mechanics

3

100

3

Elective Group 2: Graph Theory

RMT 241B

Graph Operations

3

100

3

Elective Group 3: Number Theory

RMT 241C

Advanced Number Theory

3

100

3

Elective Group 4: Riemannian Geometry

RMT 241D

Riemannian Geometry

3

100

3

 

DISSERTATION

Components

Marks

Credit

Presentation on the research proposal

50

 

Double valuation of the dissertation

100

 

Viva-Voce examination

50

 

Total

200

10