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Master of Science [M.Sc] (Mathematics)

  • STREAM

    SCIENCE

  • DURATION

    2 YEARS

  • COURSE

    Mathematics

  • COURSE TYPE

    Post Graduation

Master of Science in Mathematics Course, Eligibility, Syllabus, Top Colleges, Salary

Masters of Science in Mathematics popularly known as M.Sc. Mathematics is a postgraduate programme of two years, sub divided into four semesters. The main objective of this course is to give first-hand knowledge in advanced applied mathematics and forefront research experience.

The basic eligibility tcriteria set for this course is a Bachelor’s degree in any discipline with mathematics as a main subject, from any recognized university or board. The tuition fee for government college ranges from INR 30,000 to 50,000  while in private colleges fees range is INR 1 to 4 lacs

Top M.Sc.(Mathematics) colleges are:

Students in this field can get work in government sector, financial sector in private firms and Universities. Work profile can be of Actuarial professional, Teacher, Database Manager, and External Auditor. Average starting salary after doing this course can be around 4-5 lakh per annum and can go up after gaining some experience.

M.Sc. (Mathematics): Course Highlights

Course Level

Postgraduate

Duration

2 years

Examination Type

Semester System

Eligibility

Graduate from a recognized University

Admission Process

Direct admission to colleges. However, some colleges may check student's skills in through an entrance test.

Course Fee

INR 30,000- 50,000

Average Starting Salary

INR 1-4 lacs

Top Recruiting Organizations'

Amrita Vishwaas Vidyapeetham, Modern Vidya Niketan, IIT Delhi, IIT ISM Dhanbad, BITS Pilani, Edudrive Education Services, SKUAST, Goodwill Solutions, ISI Kolkata, CIPET, Codfinity Technologies

Top Recruiting Areas'

Coaching Centers, Education Consultants, Education, Departments, Private Tuitions, software consultancies, Research and Development Agencies, Colleges

Top Job Profiles

Mathematics Specialist, Teacher/Professor, Quantitative Risk Analyst, Equity Quantitative Analyst, Interest Rate Trending Strategist, Quantitative Developer, Managing Editor, Assitant Manager (Maths)

M.SC.(Mathematics): What is it About?

Masters of Science in Mathematics makes sure to provide advanced research skills and provide in depth knowledge of reasoning and problem solving skills. It incorporates foundation of mathematical thinking and teaches both pure and applied mathematics to the core. Students will be taught core mathematical subjects which includes probability theory, theoretical computer science, algebra, number theory, algebraic geometry, global analysis, dynamical systems, differential equations and many more.

The duration of the entire course is 2 years distributed as four semesters of 6 months each in institutes like Shree Guru Gobind Singh Tricentenary University Gurgaon, Shiv Nadar University, Gautam Budh Nagar, Baba Ghulam Shah Badshah University, Rajauri, Jaypee University of Engineering and Technology, Guna.

In Distance Mode of Education, the duration is minimum of 2 years andmaximum of 4 years. Some of the universities that offer this program in distance learning mode are Acharya Nagarjuna University, Guntur, NIMS University, Jaipur, Uttarakhand Open University, Nainital.

Academic Options after M.Sc. Mathematics

One can go for higher studies if they want to go in the research field by doing M.Phil. /Ph.D. in Mathematics. There are no. of science colleges in India that facilitates research programs, students can choose the college according to the availability of his/her subject in such colleges.

M.Sc. (Mathematics): Top Institutes

A mathematics student has the luxury to choose from more than 1500 science colleges that offers M.Sc. degree. Some of the top colleges that offer M.Sc. in Mathematics are:

Name of the Institute

City

Average fee (in INR)

The Oxford College of Science

Bangalore

40,000

Stella Maris College

Chennai24,300

Ramjas College

New Delhi

11,100

Miranda House

New Delhi

14,200

Hansraj College

New Delhi

18,300

Loyola College

New Delhi

5,950

Christ University

Bangalore

77,500

Madras Christian College

Chennai

14,600

Fergusson College

Pune

20,000

M.Sc. (Mathematics): Eligibility

The eligibility criteria for this course in colleges like Christ University Bangalore, St Stephen's College New Delhi, Loyola College Chennai, Mount Carmel College Bangalore is graduation in any discipline with Mathematics and English as a main subjects with minimum 50% aggregate however institutes prefer students with a B.Sc. /B.E. /B.Tech. degree.

M.Sc. (Mathematics): Admission

Usually the admission process starts in the month of March/April where the colleges announce the notification and application forms both online and offline.

Direct Admission

Few universities takes admission in M.Sc. courses through merit basis as well as through entrance test, like Delhi University reserves 50% of its seats for merit basis admissions.

Entrance Exam:

Colleges like Loyola College, Chennai, IIT Kanpur, IIT Delhi conducts entrance test for taking admissions into the course. Students selected through entrance test would further have to go through personal interview before final selection.

The entrance test consists of objective type questions and the syllabus for the same is usually from:

  • Real Analysis
  • Linear and Abstract Algebra
  • Calculus
  • Topology

Lateral Entry in M.Sc. in Mathematics

Various Universities provides lateral entry into the course but has an eligibility criteria of having a graduation degree with mathematics as main subject. One can apply to the universities and show them the documents , pay the fees as required by the college. Some of the institutes providing it are IIT Kanpur and IIT Delhi.

M.Sc.(Mathematics): Syllabus and Course Description

Course Structure

The curriculum of Masters of Science in Mathematics includes projects, assignments, analyzing large amount of numerical data and seminars. It also includes designing of surveys and experiments.The course structure includes the entire spectrum of mathematics from Real Analysis to Probability theory, that are studied during the span of 2 years.

Scheme of Assessment

The evaluation of a student in this course is through Internal Assessment and External Assessment.

The internal asessment comprises of 20% of total marks depending upon the institution which includes, class representation, assignments, projects, thesis and attendance.

Main written examination forms the rest of the portion of 80% where the student’s understanding of the concpets are tested.

Syllabus

The syllabus consists of some core subjects and electives, at the end of each semester students has to submit an assignment which is the part of the internal assessment.The syllabus is made in such a way that it focuses deep into the analytics and methods to make a person function practically.

The subjects offered in amost all institutions are :

Name of the Subject

Topics covered

Description

Real Analysis

Basic topology,sequences and series, continuity,  The Lebesgue Integral, Simple and Step Functions, Lebesgue integral of step functions, Upper Functions,

Lebesgue integral of upper functions.

It discusses metric spaces, set theory,different kinds of sequences like divergent or convergent.

Algebra

Permutations and combinations,Sylow theorems,groups of order p square, pq , polynomial rings, matrix rings

It teaches the various theorems and their applications, survey of some finite groups,and some basic concepts of rings.

Number Theory

Divisibility,Euclidean theorem, Euler’s theorem,Arithmetic functions, roots and indices.

It shows how to work with numbers, looking out at their divisibility, roots,quadratic forms and equations, remainder theorems.

Topology

Orer of topology, base for a topology, connected spaces,compact space of the real line, countability axioms,

It includes the basics of topology i.e. order, base, quotient topology,product and discussed the different axioms.

Probability Theory

Nature of data and methods of compilation, representation of data,measures of central tendency,measuring variability of data, tools of interpreting numerical data, like mean, median,quartiles, standard deviation,skewness and kurtosis and correlation analysis

It includes making and represention of histograms, frequency curve,frequency polygon.

Differential Geometry

Tensors,crves with torsion,envelopes and developable surfaces,  involutes,tangent planes and funcdamental magnitudes.

It discusses binomial,circle of curvature.

Linear Programming

Convex sets,opened and closed half-spaces , sensitivity analysis,parametric programming, transportation problems.

It comprises of linear programming and its examples.

Complex Analysis

Geometric representation of numbers,complex valued functions,power series,trigonometric functions,  Cauchy’s theorem for rectangle, in a disk and its general form.

It focuses on various trignomateric functions.

Geometry of Numbers

Lattices,Hermite’s theory on minima of positive definite quadratic forms.

It teaches basics of Lettices, Minkowskis’ Fundamental Theorem.

Elasticity

Analysis of strain, analysis of stress,  Equations of Elasticity,  Inverse and semi-inverse methods of solution, General Equations of the plane problems in polar co ordinates.

It discusses scalar invariants  of a tensor of order two, basics of strains and it geometrical interpretation.

Vector Analysis

Scalar and vector point functions,Green’s and Stoke’s theorems, Curi-linear coordinates,the equation of motion and first integral.

It includes all the knowledge of vectors from theorems to their applications.

Field Theory

Fields,theorem of Galois theory,Cyclotomic extensions,Lagrange’s theorem on primitive elements, degree field extensions and all other forms and applications of fields, and solvability of polynomials by radicals

The course shows the characterization of fields.

M.Sc.(Mathematics): Who Should Opt

People who dig mathematics and wants to make a career out of it should pursue this course. If one has an analytical ability and can carry out complex activities with an applicative approach, can go for this course.  

Masters of Science in Mathematics teaches applications of mathematical principles, so that students can adapt to collecting big data and analyse them using different tools and methods. It teaches presentation skills and can pursue financial mathematics to get on top levels of their careers.

M.Sc.(Mathematics): Career Prospects

Mathematicians never go out of demand and so they never suffer from salary fluctuations. A mathematician can earn an average salary of INR 2 to 3 lacs per annum, in the beginning of one’s career. The salary figure can go upto 20 lakh when one gets experince in the industry.

Some major Job avenues for M.Sc. Maths degree holders, along with their description and average salary, are:

Job profileJob DescriptionAverage Salary (in INR)
Mathematics Specialist

Mathematics Specialist is responsible for the design, implementation, and analysis of mathematics assessments and for the facilitation of the school-wide math plan.

2 to 3 Lacs
Professor

Professor’s job is to teach a particular course, work and help students to improve their knowledge or career skills and also to develop an instructional plan (known as a course outline or syllabus). They also plan lessons and assignments for better assessment of the students.

8 to 9 Lacs
Quantitative Risk Analyst

Quantitative Risk Analyst uses quantitative methods to help organisations make financial decisions. A quantitative analyst can also work in an insurance company and help to develop pricing models and risk evaluation strategies.

5 to 6 Lacs
Equity Quantitative Analyst

Equity Quantitative Analyst’s job is to use quantitative methods to help companies make business and financial decisions.  Investment banks, asset managers, hedge funds, private equity firms and insurance companies all employ quantitative analysts

1,017,365 per year
Quantitative Developer

A quantitative developer, a quant is a person who specializes in the application of mathematical and statistical methods such as numerical or quantitative techniques

6 to 7 Lacs
Interest Rate Trending StrategistInterest Rate Trending Strategist is a financial professional who evaluates economic trends predict price moves in the foreign exchange market. They are more often than not often employed by a forex brokerage firm to perform research and analysis, and to form opinions regarding current and future currency price moves.

Given below is the graph showing estimated salary figures for different job profiles on which a mathematics master can work on:

salary graph for M.Sc. Mathematics