M.Sc. Mathematics
The aim of the Postgraduate education is to provide high quality education as well as a supportive learning environment for the students to reach their full academic potential. The higher education has to inculcate in students the spirit of hard work and research aptitude to pursue further studies in the nationally/internationally reputed institutions as well as prepare them for a wider range of career opportunities in interdisciplinary fields.
PROGRAMME SPECIFIC OUTCOME
The Department of Mathematics is committed to provide an enriched educational experience to develop the knowledge, skills and attributes of students to equip them for life in a complex and rapidly changing world.
The syllabi are framed in such a way that it provides a complete and logical framework in almost all areas of Mathematics. On completion of M.Sc. Mathematics our students should be able to demonstrate the programme outcomes listed below:
PSO 1: Develop comprehensive knowledge and problem-solving skills in Algebra, Analysis, Topology, Differential Equations and Discrete Mathematics.
PSO 2: Manage software tool Python in knowledge analysis and interpretation of Numerical Analysis and thus keep in pace with the technological advancements.
PSO 3: Demonstrate knowledge in recent developments of various fields of Mathematics, acquired through participation in conferences / seminars/ workshops.
PSO 4: Express proficiency for the preparation of National level competitive examinations.
PSO 5: Interpret the knowledge acquired for propagation and popularization of Mathematics in society.
STRUCTURE OF M.Sc. MATHEMATICS
The programme shall include two types of courses, Core courses and Elective Core courses. There shall also be a Project and a Comprehensive Viva Voce as core courses. The programme also includes assignment/seminar/practical etc. The total credit for the programme is fixed at 80.
THEORY COURSES
There are twenty theory courses spread equally in all four semesters in the M.Sc. Program. Distribution of theory courses is as follows. There are seventeen core courses common to all students. Semester I, Semester II and Semester III will have five core courses each and Semester IV will have two core courses and three elective core courses. The three elective core courses can be chosen as per the interest of the students, availability of faculty and academic infrastructure.
PROJECT
The project of the PG program should be relevant and innovative in nature. The type of project can be decided by the student and the guide (a faculty of the department or other department/ college/ university/ institution). The project work should be taken up seriously by the student and the guide. The project should be aimed to motivate the inquisitiveness and research aptitude of the students. The students may be encouraged to present the results of the project in seminars/symposia. The conduct of the project may be started at the beginning of Semester III, with its evaluation scheduled at the end of Semester IV. The project is evaluated by external and internal examiners.
COMPREHENSIVE VIVA VOCE
A comprehensive viva voce examination will be conducted by internal and external examiners at the time of evaluation of the project. The components of viva consist of subjects of special interest, fundamental concepts, topics covering all semesters and awareness of current and advanced topics.
CORE COURSES
| Semester | Course Code | Course Title |
| I | MT1C01TM20 | LINEAR ALGEBRA |
| MT1C02TM20 | BASIC TOPOLOGY | |
| MT1C03TM20 | REAL ANALYSIS | |
| MT1C04TM20 | COMPLEX ANALYSIS | |
| MT1C05TM20 | ORDINARY DIFFERENTIAL EQUATIONS | |
| II | MT2C06TM20 | ABSTRACT ALGEBRA |
| MT2C07TM20 | ADVANCED TOPOLOGY | |
| MT2C08TM20 | ADVANCED COMPLEX ANALYSIS | |
| MT2C09TM20 | MEASURE THEORY AND INTEGRATION | |
| MT2C10TM20 | PARTIAL DIFFERENTIAL EQUATIONS | |
| III | MT3C11TM20 | ADVANCED ABSTRACT ALGEBRA |
| MT3C12TM20 | FUNCTIONAL ANALYSIS | |
| MT3C13TM20 | NUMERICAL ANALYSIS WITH PYTHON | |
| MT3C14TM20 | DIFFERENTIAL GEOMETRY | |
| MT3C15TM20 | GRAPH THEORY | |
| IV | MT4C16TM20 | SPECTRAL THEORY |
| MT4C17TM20 | OPTIMIZATION TECHNIQUES | |
| ELECTIVE 1 | ||
| ELECTIVE 2 | ||
| ELECTIVE 3 | ||
| MT4PRM20 | PROJECT/DISSERTATION | |
| MT4VM20 | VIVA-VOCE |
ELECTIVE CORE COURSES
| Course code | Course Title |
| MT4E01TM20 | MULTIVARIATE CALCULUS AND INTEGRAL TRANSFORMS |
| MT4E02TM20 | COMBINATORICS |
| MT4E03TM20 | ANALYTIC NUMBER THEORY |
| MT4E04TM20 | COMMUTATIVE ALGEBRA |
| MT4E05TM20 | OPERATIONS RESEARCH |
| MT4E06TM20 | ALGORITHMIC GRAPH THEORY |
| MT4E07TM20 | PROBABILITY THEORY |
| MT4E08TM20 | CODING THEORY |
| MT4E09TM20 | CLASSICAL MECHANICS |
