Syllabus and Speakers

• Ordinary Differential Equations (ODEs):

Dr Manil T Mohan, IIT Roorkee

Existence and uniqueness of solutions of initial value problems for first order ordinary differential equations, singular solutions of first order ODEs, system of first order ODEs, General thoery of homogenous and non homogenous linear ODEs, Variation of Parameters, Sturm- Liouville boundary value problem, Green's function.

• Partial Differential Equations (PDEs):

Mr Mahesh T, NIT Calicut

Lagrange and Charpit methods for solving first order PDEs, Cauchy problem for first order PDEs. Classification of second order PDEs, General solution of higher order PDEs with constant coefficients, Method of separation of variables for Laplace, Heat and Wave equations.

• Calculus of Variations and Linear Integral Equations:

Mr Dany Joy, VIT, Vellore

Variation of a functional, Euler-Lagrange equation, Necessary and sufficient conditions for extrema. Variational methods for boundary value problems in ordinary and partial differential equations.

Linear integral equation of the first and second kind of Fredholm and Volterra type, Solutions with separable kernels. Characteristic numbers and eigen functions, resolvent kernel.

• Linear Programming and Queueing Theory

Dr Ullas Thomas, S B College Changanassery

Graphical Method, Simplex Method, Duality.

Steady-state solutions of Markovian queuing models: M/M/1, M/M/1 with limited waiting space, M/M/C, M/M/C with limited waiting space, M/G/1.

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Registration

• Registration fee: Rs 500/-

• The registration fee may be remitted to :

A/c No: 0340053000004119

Name: The Principal and Head, Department of Mathematics, SB college, Changanassery

Bank: South Indian Bank, Near S B College Changanassery.

IFSC: SIBL0000340.

• Last date for registration: 21.05.2022.

• Selected participants will be intimated through e-mail on or before 22.05.2022.

• Registration Fee will not be refunded.

To register please fill the form given below