This course is an introductory course on topological spaces. It deals with general idea of topological spaces, it's examples various properties and construction of topological spaces in terms of open sets, closed sets, neighborhoods and more. It also deals with the hierarchical order of topological spaces.


This course deals with the theory of various spaces such as metric space, normed space and inner product space. It also gives the property and relationship among these spaces and give insights about linear operators as a whole.