Mathematical analysis, also known as advanced calculus, is the oldest and most basic branch of analysis. Generally speaking, it refers to a relatively complete mathematical subject with the general theory of calculus and infinite series as the main content, including their theoretical basis (basic theory of real number, function and limit).

Correlation connection

Calculus theory is inseparable from the development of physics, astronomy, economics, geometry and other disciplines. Calculus theory has shown great application vitality since its birth. Therefore, in the teaching of mathematical analysis, we should strengthen the connection between calculus and adjacent disciplines, emphasize the application background and enrich the application content of theory.

The teaching of mathematical analysis should not only reflect the strict logical system of this course, but also reflect the development trend of modern mathematics, absorb and adopt modern mathematical ideas and advanced processing methods, and improve students' mathematical literacy.