1. Introduction: Classification, Regularity Conditions, Eigenvalues and eigenfunctions, the inner product.
2. Integral Equations with seperable kernels: Reduction to a system of algebraic equations, Fredholm Alternatives, Fredholm Integral equation of the first kind
3. Method of Successive Approximations: Iterative scheme, Volterra integral equations
4. Classical Fredholm Theory: The method ofsolution of Fredholm, Fredholm's first, second and third theorems