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Master of Science in Mathematics

Introduction

Mathematics is one of the most indispensable and necessary topics in our life, no matter whatever career we choose. But some may even choose a career in Mathematics, so they have to pursue a course. However, sometimes it is not easy to select the appropriate direction. So if you are wondering about having a career in Mathematics and have graduated in Master Science in Mathematics, also known as M.Sc in Mathematics is the best course. It is a 2-year long postgraduate course in the field of Mathematics for students having an interest in Mathematics. This course covers subjects like Algebra, Linear Programming, Differential Geometry, Complex Analysis Geometry, etc.

The average fee charged by institutes in India for offering this course ranges between ₹5,000 - ₹2,00,000. After pursuing this course, the graduates get an option to choose from two, to either pursue a Ph.D. or obtain a job. They can be hired in areas like coaching centres, schools, investment companies, or in a relevant field. The position they can be hired for can be Teacher, Mathematician, Assistant Manager, Interest Rate Trending Strategist, or such areas for an annual salary ranging between ₹6,00,000 - ₹9,00,000. 


Eligibility

Applicants willing to aspire course of M.Sc in Mathematics from an institute have to fulfil specific requirements criteria for the eligibility verification process. Most institutes ask the standard requirements, although they may differ from college to college. The requirements may include getting a particular degree. The standard conditions for applying for this course are as follows.

  • Applicants must have graduated in any discipline but should have Mathematics and English as the primary subjects in that discipline from a recognised university. Some institutes prefer students having qualification of B.Sc. in Mathematics or B.E. in Mathematics or B.Tech. in Mathematics or from any other field.  
  • Applicants must secure a minimum aggregate score of 50% in the graduation degree they choose. 



Syllabus

M.Sc in Mathematics is a 2-year long course divided in a semester-based system. The course comprises two parts, which are 20% of internal assessment and the rest 80% of the written examination. The curriculum covers subjects like Algebra, Probability Theory, Linear Programming, Geometry of Numbers, Elasticity, etc. The curriculum is showcased in the table below.


Sr. No.

Subjects

Topics Covered

1

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

2

Algebra

  • Permutations and combinations
  • Sylow theorems
  • Groups of order p square
  • PQ
  • Polynomial rings
  • Matrix rings

3

Number Theory

  • Divisibility
  • Euclidean theorem
  • Euler’s theorem
  • Arithmetic functions
  • Roots and indices.

4

Topology

  • Order of topology
  • Base for a topology
  • Connected spaces
  • Compact space of the real line
  • Countability axioms

5

Probability Theory

  • Nature of data and methods of compilation
  • Representation of data
  • Measures of central tendency
  • Measuring the variability of data
  • Tools of interpreting numerical data, like mean, median, quartiles, standard deviation, skewness and kurtosis and correlation analysis

6

Differential Geometry

  • Tensors
  • Curves with torsion
  • Envelopes and developable surfaces
  • Involutes
  • Tangent planes and fundamental magnitudes.

7

Linear Programming

  • Convex Sets
  • Opened and closed half-spaces
  • Sensitivity analysis
  • Parametric programming
  • Transportation problems

8

Complex Analysis

  • Geometric representation of numbers
  • Complex-valued functions
  • Power series, trigonometric functions
  • Cauchy’s theorem for rectangle

9

Geometry of Numbers

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

10

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 coordinates

11

Vector Analysis

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

12

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
  • Solvability of polynomials by radicals


Institutes

Many institutes in India offer the course of M.Sc in Mathematics. Some of them are private, while some are government-administered. They may charge an amount between ₹3,000 - ₹1,00,000 per annum for offering this course. Some of the most famous institutes along with its location and average annual fee are tabulated below.


Institute

City

Average Annual Fee

The Oxford College of Science

Bangalore, Karnataka

₹40,000

Stella Maris College

Chennai, Tamil Nadu

₹15,000

Miranda House

New Delhi

₹16,200

Hansraj College

New Delhi

₹16,500

St. Xavier’s College

Ahmedabad, Gujarat

₹70,000

Hindu College

New Delhi

₹13,500

St. Francis College for Women

Hyderabad, Telangana

₹12,700

Christ University

Bangalore, Karnataka

₹75,000

Presidency College

Chennai, Tamil Nadu

₹1,000

Sri Venkateshwara College

New Delhi

₹13,000


Future Prospects

M.Sc in Mathematics provides a lot of future opportunities for its degree holders. They get plenty of opportunities in investment companies or schools and colleges or banks or any other fields. They can be appointed for job profiles such as Quantitative Developer, Mathematician, Professor, Assistant Manager or a related job profile at an annual salary ranging between ₹3,00,000 - ₹6,00,000. Some of the most famous and high yielding job profiles are as follows.


Job profile

Description

Average Annual Salary

Mathematics Specialist

Mathematics Specialists are the person who design, analyse and implement mathematics assessments for the planning Mathematics syllabus in schools or higher levels.

₹2,00,000 - ₹3,00,000

Professor

Professors are responsible for teaching the syllabus of the subject they have studied. They prepare the students for various tests and also conduct tests regularly to monitor their progress. They aim to improve the knowledge skills for pursuing a career.

₹8,00,000 - ₹9,00,000

Quantitative Risk Analyst

Quantitative Risk Analysts are hired for analysing financial risk through various quantitative methods for an organisation. Depending upon their conclusions, different financial decisions like developing price modules are made by an organisation.

₹5,00,000 - ₹6,00,000

Equity Quantitative Analyst

Equity Quantitative Analysts are hired for analysing various financial outcomes with the help of quantitative methods. Their analysis is used in multiple purposes like investment banks, hedge funds, private equity and insurance companies. 

₹10,00,000 - ₹11,00,000

Quantitative Developer

Quantitative Developers are expert in the application of mathematical and statistical methods such as numerical or quantitative techniques.

₹6,00,000 - ₹7,00,000



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  • kevinrstd6th@gmail.com 4 years

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