关于CS一门课的咨询，theory of computing

本人工科phd转cs master半年， 对cs的这门课不太明白，就是不明白它在这个专业课程体系里的作用（估计这么表述吧），特来咨询各位科班同学。

这门课（简介如下：

A systematic study of the fundamental models and analytical methods of theoretical computer science. Computability, the Church-Turing thesis, decidable and undecidable problems, and the elements of recursive function theory. Time complexity, logic, Boolean circuits, and NP-completeness. Role of randomness in computation.