Is it possible to deploy a .Net Web app into Sp Site

Question

Hi , 

 

 Introducing myself , am new to SharePoint and its development . I got a task to know that , Is it possible to deploy an external web application which we developed in c# Asp.Net into the SharePoint Site  . I cant trace out how to create an web application in SharePoint with my UI designed and with my code . So please let me know , do we have any option to develop an Asp.Net Web application externally and can deploy to my SharePoint site ?