Aggregation implies a relationship where the child can exist independently of the parent. Example: Class (parent) and Student (child). Delete the Class and the Students still exist.
Composition implies a relationship where the child cannot exist independent of the parent. Example: House (parent) and Room (child). Rooms don't exist separate to a House.
The above two are forms of containment (hence the parent-child relationships).
Dependency is a weaker form of relationship and in code terms indicates that a class uses another by parameter or return type.
Dependency is a form of association.