The term "matter-course" can be a bit confusing, but it typically refers to the path or direction that something takes in terms of significance or importance. Some synonyms for "matter-course" include trajectory, route, or progression. Other possible phrases that can be used to convey similar meanings include path of significance, journey of impact, or trail of relevance. Whether you are talking about the development of an important project, the growth of a particular industry, or the impact of a particular event, the matter-course can be a useful concept to consider when looking at the big picture.