Calculus of Variations and Integral Equations

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.

Mod-01 Lec-01 Calculus of Variations and Integral Equations.
Mod-01 Lec-02 Calculus of Variations and Integral Equations.
Mod-01 Lec-03 Calculus of Variations and Integral Equations.
Mod-01 Lec-04 Calculus of Variations and Integral Equations.
Mod-01 Lec-05 Calculus of Variations and Integral Equations.
Mod-01 Lec-06 Calculus of Variations and Integral Equations.
Mod-01 Lec-07 Calculus of Variations and Integral Equations.
Mod-01 Lec-08 Calculus of Variations and Integral Equations.
Mod-01 Lec-09 Calculus of Variations and Integral Equations.
Mod-01 Lec-10 Calculus of Variations and Integral Equations.
Mod-01 Lec-11 Calculus of Variations and Integral Equations.
Mod-01 Lec-12 Calculus of Variations and Integral Equations.
Mod-01 Lec-13 Calculus of Variations and Integral Equations.
Mod-01 Lec-14 Calculus of Variations and Integral Equations.
Mod-01 Lec-15 Calculus of Variations and Integral Equations.
Mod-01 Lec-16 Calculus of Variations and Integral Equations.
Mod-01 Lec-17 Calculus of Variations and Integral Equations.
Mod-01 Lec-18 Calculus of Variations and Integral Equations.
Mod-01 Lec-19 Calculus of Variations and Integral Equations.
Mod-01 Lec-20 Calculus of Variations and Integral Equations.
Mod-01 Lec-21 Calculus of Variations and Integral Equations.
Mod-01 Lec-22 Calculus of Variations and Integral Equations.
Mod-01 Lec-23 Calculus of Variations and Integral Equations.
Mod-01 Lec-24 Calculus of Variations and Integral Equations.
Mod-01 Lec-25 Calculus of Variations and Integral Equations.
Mod-01 Lec-26 Calculus of Variations and Integral Equations.
Mod-01 Lec-27 Calculus of Variations and Integral Equations.
Mod-01 Lec-28 Calculus of Variations and Integral Equations.
Mod-01 Lec-29 Calculus of Variations and Integral Equations.
Mod-01 Lec-30 Calculus of Variations and Integral Equations.
Mod-01 Lec-31 Calculus of Variations and Integral Equations.
Mod-01 Lec-32 Calculus of Variations and Integral Equations.
Mod-01 Lec-33 Calculus of Variations and Integral Equations.
Mod-01 Lec-34 Calculus of Variations and Integral Equations.
Mod-01 Lec-35 Calculus of Variations and Integral Equations.
Mod-01 Lec-36 Calculus of Variations and Integral Equations.
Mod-01 Lec-37 Calculus of Variations and Integral Equations.
Mod-01 Lec-38 Calculus of Variations and Integral Equations.
Mod-01 Lec-39 Calculus of Variations and Integral Equations.
Mod-01 Lec-40 Calculus of Variations and Integral Equations.