I'm going to start new project using AngularJS (full stack). My project needs to be responsive and I'll be creating templates from scratch.
So I need an advice on whether to choose bootstrap 3 (with angular directives) or material design for layouts?
I'd greatly appreciate if someone can list the pros & cons of both.
As far as I know you can use all mentioned technologies separately or together. It's up to you. I think you look at the problem from the wrong angle. Material Design is just the way particular elements of the page are designed, behave and put together. Material Design provides great UI/UX, but it relies on the graphic layout (HTML/CSS) rather than JS (events, interactions).
On the other hand, AngularJS and Bootstrap are front-end frameworks that can speed up your development by saving you from writing tons of code. For example, you can build web app utilizing AngularJS, but without Material Design. Or You can build simple HTML5 web page with Material Design without AngularJS or Bootstrap. Finally you can build web app that uses AngularJS with Bootstrap and with Material Design. This is the best scenario. All technologies support each other.
You can check awesome material design components for AngularJS:
https://material.angularjs.org