| 1 | Definition and classification of linear integral equations | PDF unavailable |
| 2 | Conversion of IVP into integral equations | PDF unavailable |
| 3 | Conversion of BVP into an integral equations | PDF unavailable |
| 4 | Conversion of integral equations into differential equations | PDF unavailable |
| 5 | Integro-differential equations | PDF unavailable |
| 6 | Fredholm integral equation with separable kernel: Theory | PDF unavailable |
| 7 | Fredholm integral equation with separable kernel: Examples | PDF unavailable |
| 8 | Solution of integral equations by successive substitutions | PDF unavailable |
| 9 | Solution of integral equations by successive approximations | PDF unavailable |
| 10 | Solution of integral equations by successive approximations: Resolvent kernel | PDF unavailable |
| 11 | Fredholm integral equations with symmetric kernels: Properties of eigenvalues and eigenfunctions | PDF unavailable |
| 12 | Fredholm integral equations with symmetric kernels: Hilbert Schmidt theory | PDF unavailable |
| 13 | Fredholm integral equations with symmetric kernels: Examples | PDF unavailable |
| 14 | Construction of Green function-I | PDF unavailable |
| 15 | Construction of Green function-II | PDF unavailable |
| 16 | Green function for self adjoint linear differential equations | PDF unavailable |
| 17 | Green function for non-homogeneous boundary value problem | PDF unavailable |
| 18 | Fredholm alternative theorem-I | PDF unavailable |
| 19 | Fredholm alternative theorem-II | PDF unavailable |
| 20 | Fredholm method of solutions | PDF unavailable |
| 21 | Classical Fredholm theory: Fredholm first theorem-I | PDF unavailable |
| 22 | Classical Fredholm theory: Fredholm first theorem-II | PDF unavailable |
| 23 | Classical Fredholm theory: Fredholm second theorem and third theorem | PDF unavailable |
| 24 | Method of successive approximations | PDF unavailable |
| 25 | Neumann series and resolvent kernels-I | PDF unavailable |
| 26 | Neumann series and resolvent kernels-II | PDF unavailable |
| 27 | Equations with convolution type kernels-I | PDF unavailable |
| 28 | Equations with convolution type kernels-II | PDF unavailable |
| 29 | Singular integral equations-I | PDF unavailable |
| 30 | Singular integral equations-II | PDF unavailable |
| 31 | Cauchy type integral equations-I | PDF unavailable |
| 32 | Cauchy type integral equations-II | PDF unavailable |
| 33 | Cauchy type integral equations-III | PDF unavailable |
| 34 | Cauchy type integral equations-IV | PDF unavailable |
| 35 | Cauchy type integral equations-V | PDF unavailable |
| 36 | Solution of integral equations using Fourier transform | PDF unavailable |
| 37 | Solution of integral equations using Hilbert transform-I | PDF unavailable |
| 38 | Solution of integral equations using Hilbert transform-II | PDF unavailable |
| 39 | Calculus of variations: Introduction | PDF unavailable |
| 40 | Calculus of variations: Basic concepts-I | PDF unavailable |
| 41 | Calculus of variations: Basic concepts-II | PDF unavailable |
| 42 | Calculus of variations: Basic concepts and Euler equation | PDF unavailable |
| 43 | Euler equation: Some particular cases | PDF unavailable |
| 44 | Euler equation : A particular case and Geodesics | PDF unavailable |
| 45 | Brachistochrone problem and Euler equation-I | PDF unavailable |
| 46 | Euler's equation-II | PDF unavailable |
| 47 | Functions of several independent variables | PDF unavailable |
| 48 | Variational problems in parametric form | PDF unavailable |
| 49 | Variational problems of general type | PDF unavailable |
| 50 | Variational derivative and invariance of Euler's equation | PDF unavailable |
| 51 | Invariance of Euler's equation and isoperimetric problem-I | PDF unavailable |
| 52 | Isoperimetric problem-II | PDF unavailable |
| 53 | Variational problem involving a conditional extremum-I | PDF unavailable |
| 54 | Variational problem involving a conditional extremum-II | PDF unavailable |
| 55 | Variational problems with moving boundaries-I | PDF unavailable |
| 56 | Variational problems with moving boundaries-II | PDF unavailable |
| 57 | Variational problems with moving boundaries-III | PDF unavailable |
| 58 | Variational problems with moving boundaries; One sided variation | PDF unavailable |
| 59 | Variational problem with a movable boundary for a functional dependent on two functions | PDF unavailable |
| 60 | Hamilton's principle: Variational principle of least action | PDF unavailable |