The course-grained intrusive rock you're likely thinking of is granite.

Here's why:

* Course-grained: Granite is known for its large, visible crystals, which are a result of its slow cooling process deep underground.

* Intrusive: It forms when magma cools and solidifies beneath the Earth's surface.

* Building and monuments: Granite is incredibly durable, resistant to weathering, and comes in a variety of colors and patterns, making it an ideal material for building, monuments, and sculptures.

Let me know if you have other rock questions!