M.Sc Mathematics

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Course Level
Postgraduate
Course Fee (Annual)
INR 99,000
US $ 3,000
Duration
2 Years
Scholarship

Program Coordinator

Dr. Advin Masih

Assistant Professor - Mathematics

M.Sc. Mathematics course is designed in such a way that permits the students to enhance their skills and knowledge on fundamental as well as advanced levels of mathematics. The gained knowledge is further nourished with various industry oriented courses taught in mode of value added courses.

To elaborate their research skills and to evolve their potential in writing research papers Scientific research is introduced in second and third semester, which involves identifying the problem, survey of literature, critical thinking, planning of experiment and execution followed by presentation of their work via seminars, poster/oral presentation in conferences and finally reporting and defending their master’s dissertation.

Key Features

Extensive & latest academic curriculum
CBCS (Choice Based Credit System)
A wide range of core and open elective courses as per Industry requirements
Problem-based learning through dissertation
Mandatory Internships for students
Outcome based teaching with hands on Lab sessions
Exposure of students to present their research work in various National/International Conferences / Workshops / Seminars
Placement oriented technical and soft skill training sessions
Regular International & National invited Lectures/ workshops etc. from Academia & Industry
Quantitative aptitude sessions for competitive exams
Imbibing new ideas through educational visits

Eligibility

Intake

Eligibility Criteria

Pass in B.Sc. or B.Sc. (Hons.) with 50% or more marks in relevant subjects.

Merit Preparation for Admission

Merit in MRNAT
Graduation Qualifying Examination
CUET

Programme Highlights

Industry oriented courses - a wide range of core and open elective courses
Mathematics Lab Component - Implementation of mathematical tools such as Octave, MATLAB, SPSS, LaTeX, SciLAB, Excel Solver, R etc.
Research at Under - graduate and Postgraduate levels
Compulsory Summer Internships – In campus/ off campus
Compulsory Project workMOOC Courses & value added coursesForeign Language Courses

Regular Invited Expert Lectures & Workshops from Academia & Industry at National & International Level
International Panel of Faculty
Career Skills sessions for Placements & competitive exams.
Soft courses – Environmental Science, Quantitative Aptitude, Management, Ethics & Values, Communicative English
Exposure to student at national & international platform
Best mentoring support to the students

Program Objectives

Preparation : A broad general education ensuring an adequate foundation in Basic Sciences, and English language

Core Competence : A solid understanding of concepts fundamental to the discipline of Sciences.

Breadth : Good analytical skills, design and implementation of science experiments required to solve current scientific and society problems.

Professionalism : The ability to function and communicate effectively the key knowledge base and laboratory resources careers as professionals.

Learning Environment : To provide student awareness of the Sciences as an integral activity for addressing social, economic, and environmental problems, and fostering important skills for job as well as for higher studies.

Career Path

Teaching and Research
IT Industry Banking Sector
UPSC
Civil Services
Indian Railways

Technical Writing
Computer System Analyst
Data Analyst
Teaching at School and University level

Scheme Syllabus

The programme follows the choice-based credit system. The total credit requirement for the award of the M.Sc. Mathematics degree is 82 depending upon the specified curriculum and scheme of examination of M.Sc. Mathematics program. The distribution of credits over the semesters of the programme is as specified in the table below :

Semester 1

Subject Codes	Subject Name	No. of Contact Hours Per Week	No. of Credits
MAH501B	ABSTRACT ALGEBRA	4	4
MAH502B	TOPOLOGY-I	4	4
MAH503B	DIFFERENTIAL EQUATIONS	4	4
MAH504B	MEASURE THEORY	4	4
MAW505B	EXCEL WORKSHOP	4	2
MAH506B	MATHEMATICS LAB - I	2	1
CSH511B	PYTHON PROGRAMMING	2	1
TOTAL (CONTACT HOURS/CREDITS)		22	19

Semester 2

Subject Codes	Subject Name	No. of Contact Hours Per Week	No. of Credits
MAH507B	FIELD THEORY	4	4
MAH508B	COMPLEX ANALYSIS	4	4
MAH509B	FUNCTIONAL ANALYSIS	4	4
MAH510B	DIFFERENTIAL GEOMETRY	4	4
MAH511B	MATHEMATICS LAB - II	4	2
CSW512B	PYTHON FOR DATA ANALYSIS	4	2
RDO503	SCIENTIFIC RESEARCH - I	2	4
TOTAL (CONTACT HOURS/CREDITS)		22	22
MAO513B	Summer Internship		2

Semester 3

Subject Codes	Subject Name	No. of Contact Hours Per Week	No. of Credits
MAH601B	INTEGRAL EQUATIONS & CALCULUS OF VARIATION	4	4
MAH602B	FLUID MECHANICS	4	4
MAH603B	FUZZY SETS & FUZZY LOGIC	8	8
MAH604B	OPERATIONS RESEARCH
MAH605B	GRAPH THEORY
MAH606B	DESIGN OF EXPERIMENTS
MAH607B	FOURIER ANALYSIS
MAH608B	DIFFERENTIABLE MANIFOLDS
MAH609B	WAVELETS
MAH610B	TOPOLOGY - II
RDO603	SCIENTIFIC RESEARCH - II	2	4
EDS234	PEDAGOGICAL SKILLS	3	2
TOTAL (CONTACT HOURS/CREDITS)		21	22

Semester 4

Subject Codes	Subject Name	No. of Contact Hours Per Week	No. of Credits
MAH612B	COMPUTATIONAL FLUID DYNAMICS	8	8
MAH613B	GENERALIZED FUZZY SET THEORY
MAH614B	ADVANCED OPERATIONS RESEARCH
MAH615B	CODING THEORY
MAH616B	STOCHASTIC PROCESSES
MAH617B	HARMONIC ANALYSIS
MAH618B	LIGHTLIKE MANIFOLDS
MAH619B	WAVELETS & IT'S APPLICATIONS
MAH620B	ALGEBRAIC TOPOLGY
MAH621B	DYNAMICS OF RIGID BODY
MAN622B	PROJECT	2	10
TOTAL (CONTACT HOURS/CREDITS)		10	18
GRAND TOTAL OF CREDITS			83

Total Credits for Semester I - IV

S.No.	Semester	Classroom Contact Hours	Non-Teaching Outcome Hrs	Credits
1	First Semester	22	0	19
2	Second Semester	22	4	24
3	Third Semester	21	4	22
4	Fourth Semester	10	12	18
Total Credits For M.Sc. Mathematics Programme		75	30	83

Students shall also pass all University mandatory courses, audit courses, life skill program series points and shall fulfill any other requirement as prescribed by the University from time to time.

Programme Outcomes (PO’s)

PO 1

Knowledge & Abstract thinking: Ability to absorb and understand the abstract concepts that lead to various advanced theories in mathematical sciences and their applications in real life problems.

PO 2

Modelling and solving: Ability in modelling and solving problems by identifying and employing the appropriate existing theories and methods.

PO 3

Advanced theories and methods: Understand advanced theories and methods to design solutions for complex mathematical problems and results.

PO 4

Applications in Engineering and Sciences: Understand the role of mathematical sciences and apply the same to solve real-life problems in various fields of study.

PO 5

Modern software tool usage: Acquire the skills in handling scientific tools towards problem solving and solution analysis.

PO 6

Ethics: Imbibe ethical, moral and social values in personal and social life. Continue to enhance the knowledge and skills in mathematical sciences for constructive activities and demonstrate the highest standards of professional ethics.

PO 7

Individual and team work: Function effectively as an individual, and as a member or leader in diverse teams, and in multidisciplinary settings.

PO 8

Communication: Develop various communication skills such as reading, listening, and speaking which will help in expressing ideas and views clearly and effectively.

PO 9

Research: Demonstrate knowledge, understand mathematical & scientific theories and apply these to one’s own work, as a member/ leader in a team to manage projects and multidisciplinary research environments. Also use the research-based knowledge to analyse and solve advanced problems in mathematical sciences.

PO 10

Life-long learning: Recognize the need for, and have the preparation and ability to engage in independent and life-long learning.

PO 11

Professional Growth: Keep on discovering new avenues in the chosen field and exploring areas that remain conducive for research and development

Program Educational Objectives (PEO’s)

Preparation : A broad general education ensuring an adequate foundation in Basic Sciences, and English language

Core Competence : A solid understanding of concepts fundamental to the discipline of Sciences.

Breadth : Good analytical skills, design and implementation of science experiments required to solve current scientific and society problems.

Professionalism : The ability to function and communicate effectively the key knowledge base and laboratory resources careers as professionals.

USPs

Extensive & latest academic curriculum
CBCS (Choice Based Credit System)
A wide range of core and open elective courses as per Industry requirements
Problem-based learning through dissertation.
Mandatory Internships for students.
Outcome based teaching with hands on Lab sessions
Exposure of students to present their research work in various National/International Conferences / Workshops / Seminars.
Placement oriented technical and soft skill training sessions.
Regular International & National invited Lectures/ workshops etc. from Academia & Industry
Quantitative aptitude sessions for competitive exams.
Imbibing new ideas through educational visits.

Benefits

The department of Sciences takes pride in its experienced and dedicated faculty members, who are groomed in premier institutes of the country and abroad.
University Instrumentation Center (UIC) as an advanced center to cater the needs of both internal and external researchers.
Quality education with smart classrooms and magnificent infrastructure,
Well-equipped laboratories, computer labs and cutting-edge interdisciplinary research in sciences
We at the department of Sciences are committed to impart advanced education involving theoretical, practical and project based learning approaches in pure and applied science areas
The department is continuously associated with academic/sponsored research and industrial consultancy work
Publications in Research Journals like Scopus, Web of Science and Research Fellowship
University has excellent extra-curricular activities, sports culture, well-organized extension, community service programs and outreach activities by students and faculty
Guidance for competitive exams and higher studies and national and international fellowships.

Placements

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FAQs

M.Sc. Mathematics at Manav Rachna University opens up many career opportunities in teaching, research, banking, data science, and government jobs. Graduates can become professors, data analysts, financial experts, or researchers in top organizations. They can also appear for competitive exams like UPSC, SSC, or work in ISRO and DRDO. Those interested in research can pursue a Ph.D. in Mathematics or explore fields like Artificial Intelligence and Cryptography. The university provides expert faculty, research-driven learning, and industry exposure to help students build a strong career.