Instructors: Prof. D. Bahuguna and Dr. Malay Banerjee, Department of Mathematics and Statistics, IIT Kanpur.

Calculus of Variations: Concepts of the calculus of variations, Variational problems with the fixed boundaries, Variational problems with moving boundaries, Sufficiency conditions.

Integral Equations: Solutions of integral equations, Volterra integral equations, Fredholm integral equations, Fredholm theory - Hilbert-Schmidt theorem, Fredholm and Volterra integro-differential equation.