Teaching of Mathematical Analysis or Calculus Based on the Thinking of Calculus

Abstract

Mathematical analysis or calculus is one of the core courses of mathematics and many related disciplines. For students to lay solid foundations and to have better developments in their future careers, teaching of mathematical analysis plays an important role in mathematics and related disciplines. Unfortunately, many students feel that it is difficult in the understanding and learning of the subject. Based on many years of the teaching experiences, in this paper, we put forward the new idea that the teaching of mathematical analysis can be carried out by using the thinking of calculus. The essence of the method is to carry out the teaching and learning of mathematical analysis or calculus with a simple and efficient way. Some suggestions on the teaching and learning of the subject are also provided.