There are three colleges in Bangalore which offers the course of M.Arch Construction and Project Management and the name of this colleges are-

UVCE Bangalore - University Visvesvaraya College of Engineering

Gopalan School of Architecture and Planning, Bangalore

Bangalore School of Design, Bengaluru

Apart from this there are other colleges in karnatak offering some course in Construction Management and the name of this colleges are provided below-

Mangalore Institute of Fire and Safety Engineering, Mangalore

Srinivas University, Mangalore

For more colleges in India providing the course of Construction Management are provided below:

https://engineering.careers360.com/colleges/list-of-construction-management-colleges-in-india

For more information regarding Construction Management, consider the link provided below-

https://www.careers360.com/courses/construction-management-course

I hope this helps. Wish you a great day!