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M. Phil. (Master of Philosophy) in Mathematics is a program offered by the School of Arts and Science, Amrita Vishwa Vidyapeetham, Coimbatore Campus.


Semester I
Code Title L T P Credits ES
20MAT701 Research Methodology 3 1 0 4 A
20MAT702 Foundations of Modern Mathematics 3 1 0 4 B
20AVP501 Amrita Values Programme 1 0 0 1 F

Total : 9

Semester II
Code Title L T P Credits ES
Elective 3 1 0 4 E
20MAT799 Dissertation (based on the chosen elective) 17 p

Total :21

Electives (any one)
Code Title L T P Credits ES
20MAT731 Advanced Graph Theory and its Applications 3 1 0 4 E
20MAT732 Advanced Operator Theory 3 1 0 4 E
20MAT733 Coding Theory and Cryptography 3 1 0 4 E
20MAT734 Homological Algebra 3 1 0 4 E
20MAT735 Stochastic Process 3 1 0 4 E
20MAT736 Theory of Fluid Dynamics 3 1 0 4 E
20MAT737 Theory of Knots and Briads 3 1 0 4 E
20MAT738 Introduction to Mathematical Modelling 3 1 0 4 E
20MAT739 Semigroup Theory 3 1 0 4 E
20MAT740 Introduction to methods of applied mathematics 3 1 0 4 E

Program Overview

Program Outcomes
  1. PO1. Mathematics Knowledge: Knowledge of advanced level in pure and applied mathematics.
  2. PO2. Problem Analysis: Develop analytical skills to identify, formulate, and analyze complex mathematical problems.
  3. PO3. Modeling and Solutions: Design solutions for complex problems and evolve procedures for solutions.
  4. PO4. Modern analytical tool usage: Select, and apply appropriate techniques, resources, and modern analytical tools.
  5. PO5. Environment and Sustainability: Understand the impact of physical processes in societal and environmental contexts, and demonstrate the knowledge, and need for sustainable development.
  6. PO6. Ethics: Apply ethical principles and commit to professional ethics and responsibilities.
  7. PO7. Communication: Communicate effectively on complex scientific activities with the science community and with society at large, such as, being able to comprehend and write effective reports and design documentation, make effective presentations, and give and receive clear instructions.
  8. PO8. Project Management and Research: Demonstrate knowledge and understanding of the Mathematical concepts and apply these to one’s own work, as a member and leader in a team, to manage projects and in multidisciplinary environments.
  9. PO9. Life-long Learning: Recognize the need for, and have the preparation and ability to engage in independent and life-long learning in the broadest context of technological change.
Program Specific Outcomes
  • POS1: The students will be able to demonstrate an understanding of basic knowledge in modern mathematical techniques.
  • POS2: The students would acquire basic knowledge of research and skills to design and conduct classes and interpret the results.
  • POS3: The students will be able to reinforce their research skills and high-end recent advances in mathematics.
Evaluation Scheme and Grading System

All M.Phil. students must complete 12 credits of course work which includes 4 credits on Research Methodology; 8 credits in the domain of research; a one-credit course on Amrita Values Programme, followed by a Thesis and Viva-voce, carrying 17 credits.

The courses (excluding Thesis and Viva-voce) shall be graded as follows;

Letter Grade Grade Points Ratings

O 10.00 Outstanding
A+ 09.50  Excellent
A 09.00 Very Good
B+ 08.00 Good
B 07.00 Above Average 
C 06.00 Average
P 05.00 Pass
F 00.00 Fail
FA Failed due to Lack of Attendance 
I Incomplete (awarded only for Lab. courses / Internship, etc)
W Withheld
Thesis Submission and Evaluation

After the thesis synopsis is approved, the M.Phil. scholar can submit thesis within two weeks from the date of Synopsis submission.

The thesis adviser shall nominate four experts to evaluate the thesis. The Head of the institution can choose anyone from the given list. The Thesis Advisor and Co-Advisor are also invited to provide a formal evaluation of the thesis. All examiners will be given three weeks to provide their evaluation. Each examiner can give one of three recommendations: (i) Accept, (ii) Accept with Modifications, or (iii) Reject. If neither of the external examiners recommends a Reject, the candidate is permitted to proceed to the Viva Voce. If both external examiners recommend a Reject, the thesis is rejected and the candidate is required to leave the M.Phil. Programme. If only one of the examiners recommends a Reject, the thesis is sent to a third external examiner whose evaluation decides whether or not the candidate is permitted to proceed with the Viva Voce. Prior to the Viva Voce, the candidate must submit a revised Thesis taking into account the comments and suggestions made by all examiners.

Viva Voce

The M.Phil. Thesis Committee consists of the M.Phil. Committee and atleast one of the external experts who evaluated the thesis. The Convener of the M.Phil. Committee serves as the Convener of this Committee. If none of the external examiners can be present, the Head of the Institution can nominate a substitute examiner.

The Convener forwards the consolidated recommendation to the PGP Chair who forwards the same to the PGP Dean. The PGP Dean forwards the final recommendation to the ViceChancellor for his approval. After the Vice- Chancellor’s approval, the PGP Dean issues the Provisional Certificate.

Fees Structure

Will be updated soon

Program Fees for the year 2019-2021
Kochi * * *

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