Banach Algebra 

Spectral Theory for Banach Algebras, Maximal Ideal space and Gelfand theory,
Concrete Banach Algebras, Algebras of continuous functions, Convolution algebra, commutative C*B algebras and GNS theorem,  Complete function spaces, Product and quotient topology

This was a seminar based course.

We primarily followed "Banach algebra Techniques in Operator Theory" by Ronald G Douglas.