Can you please provide me the syllabus of M.Sc Mathematics of Indian Institute of Technology Roorkee as I am the student of it so can you please provide me? Also provide me the past year question papers of M.Sc Mathematics of this Institute?

Indian Institute of Technology (IIT), Roorkee was established in 1847,

As you asking here I am providing Indian Institute of Technology (IIT), Roorkee M.Sc Mathematics Syllabus:

S. No.
Contents
Contact Hours
1.
Existence, uniqueness and continuation of solutions of a differential
equation and system of differential equations, differential and integral
inequalities, fixed point methods.
9
2.
Linear systems, properties of homogeneous and non-homogeneous
systems, behaviour of solutions of n
th
order linear homogeneous
equations.
7
3.
Review of power series, power series solution of second order
homogeneous equations, ordinary points, regular singular points,
solution of Gauss hypergeometric equations, Hermite and Chebyshev
polynomials.
8
4.
Boundary value problems for second order differential
equations,Green’s function and its applications. Eigen value problems,
self adjoint form, Sturm –Liouville problem and its applications.
8
6.
Autonomous systems, phase plane and its phenomenon, critical points
and stability for linear and non linear systems, Liapunov’s direct
method, periodic solutions, limit cycle, Poincare-Bendixson theorem.
10





Address
Indian Institute of Technology (IIT), Roorkee
Roorkee
Uttarakhand
Country : India
Contact No : 01332-285311
Contact Email : regis@iitr.ernet.in

Attached Files

Indian Institute of Technology (IIT), Roorkee M.Sc Mathematics Syllabus.pdf (422.3 KB, 156 views)