Research on Integrated application of Advance Mathematics and linear Algebra

Abstract

Advanced Mathematics and Linear Algebra are the two most basic and important public subjects of science and engineering in universities. In general, the main content of Advanced mathematics is calculus, which belongs to the type of analysis (analysis and study of the local and global properties of continuous objects). Linear algebra, on the other hand, is a course characterized by algebra (algebra studies the structural properties of discrete objects). From the nature of the two courses, they have great differences in thinking mode and processing methods. Students often to think that Advanced mathematics and Linear algebra are two relatively independent systems. However, after systematically study Advanced mathematics and Linear algebra, I found that Advanced mathematics (mainly calculus) and Linear algebra, two relatively independent courses, also have many methods and ideas that can be borrowed from each other. I shall discuss the relationship between Advanced mathematics (calculus) and Linear algebra in three ways.