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M.Sc. in Mathematics(M.Sc.)

Course Duration

4 Semesters
(2 Years)

Eligibility Criteria

Bachelors Degree of 3 years with Mathematics as one of the major/optional Subjects with 45% (40% in case of SC / ST) of marks in aggregate from any recognised University / Institution or any other qualification recognised as equivalent thereto.

Overview

“The only way to learn mathematics is to do mathematics!”

Mathematical sciences work is becoming an increasingly integral and essential component of a growing array of areas of investigation in biology, medicine, social sciences, business, advanced design, climate, finance, advanced materials, and much more. This work involves the integration of mathematics, statistics, and computation in the broadest sense, and the interplay of these areas with areas of potential application; the mathematical sciences are best conceived of as including all these components. These activities are crucial to economic growth, national competitiveness, and national security.

Thus, mathematics is an essential part of the educational system of an advanced society. Indian society has embraced the knowledge economy and its economic growth rate is one of the highest in the world.

M.Sc. (Mathematics) at REVA University has been designed to meet the demands of the existing and future research establishments, industries and academic institutions. The programme is designed to produce graduates with higher-order critical, analytical, problem-solving and research skills. It also helps acquire the ability to think rigorously and independently to meet higher-level expectations of industries, research organisations and academic institutions.

The programme deals with Analysis, Algebra, Topology, Complex Analysis, Differential Equations, Discrete Mathematics, Mechanics and numerical analysis. Besides, greater emphasis is laid on methods of mathematics, fluid mechanics, mathematical modelling, graph theory, fuzzy logic, cryptography, operation research and mathematics of multimedia.

Course Description

Higher education across the globe is opening doors of its academic disciplines to real-world experiences. The disciplinary legitimacy is under critical review. Trans-border mobility and practice learning are being foregrounded as guiding principles. Interactive learning, bridging disciplines and facilitating learners to gain different competencies through judicious management of time are viewed as one of the greatest and most fascinating priorities and challenges today. The M.Sc. Mathematics is designed keeping in view the current situation and possible future developments, both at national and global levels.

This course is designed to give greater emphasis to research. There is an ample number of courses providing knowledge in specialized areas of Abstract Algebra, Linear Algebra, Real and Complex Analysis, Topology, Functional Analysis, Mathematical Statistics, Optimization, Computational Techniques, R-tools, and Python Program etc., facilitating students to choose specialised areas of their interest. Adequate attention is given to providing students with the basic concepts of analysis and modern computation techniques to be used and knowledge on the application of such concepts in the practical field. The project, being part of the curriculum, will certainly provide students with the experience of research and practical exposure to the working environment.

The L: T: P structure of teaching and learning under Choice Based Credit System (CBCS) and Continuous Assessment Grading Pattern (CAGP) would certainly help our students learn and build competencies needed in this knowledge-based society. This handy document contains brief information about M.Sc. Mathematics, scheme of instruction, course content, CBCS-CAGP regulations and their advantages and calendar of events for the year will serve as a guiding path for students to move forward in the right direction. It would mould them with knowledge, skill, and ethical values to face the challenges of this competitive world with greater confidence in becoming proud citizens.

What Makes the Programme Unique?

The programme acts as a foundation degree and helps to develop critical, analytical and problem-solving skills.

It ensures graduates are employable in scientific organisations and are capable of assuming administrative positions in various organisations.

Helps in the further acquisition of higher-level degrees to help graduates pursue a career in academics or scientific organisations as a researcher.

Course Curriculum

01Algebra

02Real Analysis

03Statistical Methods (Entrepreneurship)

04Graph Theory (Innovation)

05Ordinary and Partial Differential Equations

06R – Programming with Statistical Methods (Innovation and Entrepreneurship)

07SAS (Statistical Analysis System) (Innovation and Entrepreneurship)

01Linear Algebra (Innovation)

02Complex Analysis

03Data Science (Entrepreneurship & INTELLECTUAL PROPERTY RIGHT )

04Fluid Mechanics (Innovation)

05Discrete Mathematic

06Number theory

07Machine Learning using Python (Innovation & Entrepreneurship)

08SPSS (Entrepreneurship)

09Skill Development Programme

10Tree Plantation in Tropical Region: Benefits and Strategies planning

01Topology

02Functional Analysis

03Operations Research (Innovation)

04Mathematical Methods (Innovation)

05MOOC / Swayam / Internship (Skill Development )

06Soft Skill Training

07Open Elective: Optimization Techniques (Innovation)

08Open Elective: Cryptography (Innovation & Entrepreneurship)

09Dissertation Phase - I (Skill Development)

01Numerical Analysis

02Finite Element Methods (Innovation)

03Calculus of Variation and Integral Equations

04Fuzzy set theory and Applications (Innovation)

05Advanced Graph Theory (Innovation)

06Differential Geometry

07Dissertation Phase - II (Innovation & Skill Development)

Programme Educational Objectives (PEOs)

The programme acts as a foundation degree and helps to develop critical, analytical and problem-solving skills at first level. The foundation degree makes the graduates employable in scientific organisations and also to assume administrative positions in various types of organisations. Further acquisition of higher-level degrees help the graduates to pursue a career in academics or scientific organisations as a researcher.

The Programme Educational Objectives are to prepare the students to:

PEO-1

Work alongside physicists, engineers, biomedical scientists, finance and other professionals to help to solve scientific problems.

PEO-2

Work as managers, administrators or entrepreneurs with further training and education.

PEO-3

Pursue doctoral research degrees to work in colleges, universities as professors or as scientists in research establishments.

Programme Outcomes (POs)

On completion of this programme, a student will be able to:

PO 1

Apply mathematical methods to solve various types of mathematical problems.

PO 2

Apply mathematical methods to solve problems in Physics, Chemistry, Finance, Engineering, Biomedical and other fields.

PO 3

Develop tools for solving mathematical problems.

PO 4

Develop mathematical models to explain behaviour of physical and chemical systems.

PO 5

Use modern tools and techniques for the solution of mathematical models.

PO 6

Manage information, develop technical reports and make presentations.

PO 7

Choose an appropriate online programmes for further learning, participate in seminars and conferences.

PO 8

Lead a team to successfully complete a project and communicate across teams.

Career Opportunities

Students completing M.Sc. in Mathematics will have job opportunities in higher educational institutions, R&D sectors and industries of varied types. They also have opportunities in Government, Public & Private Sectors.

Fee
  • Indian / SAARC Nationals₹ 1000
  • NRI Fee₹ 2000
  • Foreign NationalsUS$ 50
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