Function is one of the basic concepts of modern mathematics and the main research object of university mathematics. The representation methods of functions include analytical method, image method and tabular method. In the past, limited by the convenience of computational analysis tools, it was often difficult for people to grasp the relationship between the analytical representation, image representation and numerical table representation of functions, which greatly affected learners' understanding and mastery of the concept of functions.
The design of mathematical experiments aims to make full use of the mobile Internet, mobile terminal devices and related information technology software to provide textbook users with better learning content, experimental cases and interactive environments. This system has designed a series of mathematical experiments in each chapter to help users deepen their understanding of the basic concepts, theorems and thinking methods in advanced mathematics. Through the observation of the process of quantitative change to qualitative change, users can gain a deeper understanding of approximation and precision, and Dialectical relationship between quantitative change and qualitative change. The mathematical experiments on function calculation are given below.
Math experiment
Experiment 1.1:Use calculation software to calculate the following function values:
(1), , , , ;
[ Detailed explanation of the experiment ]
(2) , the function value at ;
[ Detailed explanation of the experiment ]
(3) , the function value of each interval on the interval .
[ Detailed explanation of the experiment ]