B.Sc graduation in subjects like Mathematics or Applied Science is necessary to apply for M.Sc (Applied Science) in Anna University. The selection process for this course includes an entrance examination comprising of objective model questions. A merit list will be prepared for candidates who cleared the written test. Based on the merit list, candidates are asked to attend the counseling process, which forms the final selection process.

Eligibility Criteria for M.Sc (Applied Mathematics) in Anna University

Graduation is essential to apply for M.Sc (Applied Mathematics) course. Degree level qualification must be obtained in subjects like Mathematics or Applied Science from any of the recognized institutes. Those candidates who are currently doing third year B.Sc course are also eligible to apply for the same, provided they are able to complete the course before the commencement of M.Sc program.  

Selection Procedure for M.Sc (Applied Mathematics) course in Anna University

The selection procedure for M.Sc (Applied Mathematics) course will consist of an entrance examination organized by Anna University. There will be 100 objective model questions for the entrance test carrying 100 marks. The time limit allowed for candidates to complete this entrance examination is 3 hours.

The entrance examination consists of questions from the following subject parts –

Part 1 - Modern Algebra and Analytical Geometry

• Vector spaces
• Unitary and normal operations
• Tracing of conics
• Shortest distance between skew lines
• Polar form of equations -
• Modern Algebra
• Group - rings and fields
• General equation of conics
• Equations of normal and tangent planes
• Analytical Geometry

Part 2 - Real Analysis and Complex Analysis

• Uniform convergence
• Uniform convergence
• Uniform continuity
• Standard transformations
• Singularities and residues
• Sequences and Series
• Riemann integrals
• Radius of convergence
• Power series
• Open and closed sets
• Limit points
• Leibnitz test
• Harmonic functions
• Contests
• Conformal mapping
• Complex integration
• Completeness
• Characterization for analytic functions
• Cauchy’s theorem and applications
• Analytic functions
• Alternating series

Part 3 - Vector Analysis, Integration and Differential Equations

• Simultaneous differential equations
• PDE - General, particular and complete integrals
• ODE - Linear Equations with constant coefficients
• Line, Surface, Volume integrals
• Lagrange’s equation of first order of equation
• Improper integrals
• Greens, Gauss divergence and Stokes theorems
• Gradient
• Divergence
• Beta - gamma functions

Part 4 - Numerical Methods and Programming in C

• Trapezoidal and Simpson’s rule of numerical Integration
• Straight line fitting by square method
• Standard input / output functions
• Roots of algebraic and transcendental equations
• Recursions
• Raphson method
• Programming in C
• One dimensional and Multi - dimensional arrays
• Numerical Methods
• Method of bisection
• Control statements
• Constants, variables
• Arrays

Part 5 - Discrete Mathematics and Graph Theory

• Set theory
• Posets
• Permutations and combinations
• Lattices
• Inclusion, Exclusion principle
• Graph Theory
• Graph coloring
• Functions
• Discrete Mathematics
• Boolean algebra

Part 6 - Probability, Statistics and Linear Programming

• Testing of Hypothesis
• Standard distributions
• Simplex method
• Random Variables
• Marginal and Conditional distributions
• Linear programming
• Formulation and its Graphical solution
• Correlation and linear regression

Part 7 - Statics and Dynamics

• Types of forces
• Theorems of parallel and perpendicular axes
• Parallel forces
• Newton’s laws of motion
• Moment of inertia of simple bodies
• Laws of friction
• Lami’s theorem
• Kinematics
• Centre of gravity of simple uniform bodies
• Angle of friction

It is essential for candidates to clear the entrance examination by scoring a good percentage of marks. On the basis of entrance exam score, a merit list will be prepared by Anna University. Candidates whose names appear in the merit lists need to attend counseling process organized by the University.  It is compulsory to submit original educational documents at the time of counseling along with an initial deposit of Rs 5000/- in the form of Demand Draft (DD).