The mathematics of circuits and systems requires some basic knowledge of linear algebra, differential equations, and transforms. Moreover many concepts and methods of basic circuits and systems courses can and should rely on sharp mathematical insight. Efficient and effective teaching of the basic mathematics and the basic circuits and systems courses for electrical engineering students can hence benefit from a strong link between the two. The paper gives an inventory of the relevant subjects and describes the different ways that such subjects can be taught and linked with circuits and systems Experience with this approach and interesting modules and references are presented.